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supergpqa
The specific heat of substance veries with temperature according to equation $C=2T\times { 10 }^{ -3 }cal/gK$ (T is absolut temperature). The amount of heat raquired to raise the temperature of 100 g of substance from ${ 27 }^{ 0 }C$ to ${ 47 }^{ 0 }C$ is
B) 4000 cal
[ [ "A", "3400 cal" ], [ "B", "4000 cal" ], [ "C", "3600 cal" ], [ "D", "1240 cal" ], [ "E", "3200 cal" ], [ "F", "3240 cal" ], [ "G", "3800 cal" ], [ "H", "3000 cal" ], [ "I", "4200 cal" ], [ "J", "2000 cal" ] ]
B
4000 cal
Science
Physics
Thermodynamics and Statistical Physics
middle
ab3b7b6c7545489493a4127a79cfede5
supergpqa
The () of workers belongs to the tangible wear and tear of labor.
H) ageing
[ [ "A", "delegating" ], [ "B", "depression" ], [ "C", "dereliction" ], [ "D", "depreciation" ], [ "E", "declination" ], [ "F", "diversion" ], [ "G", "knowledge aging" ], [ "H", "ageing" ], [ "I", "deterioration" ], [ "J", "designation" ] ]
H
ageing
Economics
Applied Economics
Labor Economics
easy
ab78467e59324dc0bcbf0f48538c925f
supergpqa
Dodder, a fully parasitic plant growing in salt marshes, can severely suppress the growth of dominant species in this habitat. How might this affect the composition of plant species in the habitat?
G) Enhance the richness of plant species.
[ [ "A", "Eliminate all plant species" ], [ "B", "Reducing the richness of plant species" ], [ "C", "No impact" ], [ "D", "Intensifies plant competition" ], [ "E", "Unable to determine" ], [ "F", "Completely Transform the Plant Community Structure" ], [ "G", "Enhance the richness of plant species." ], [ "H", "Increase plant growth rate" ], [ "I", "Dependent on other environmental variables" ], [ "J", "Reduction of Salt Marsh Areas" ] ]
G
Enhance the richness of plant species.
Science
Biology
Ecology
middle
f24db0dfdf9a4e8b8b82fa3bb07c70da
supergpqa
Most of the carbon in our bodies originated in().
G) the core of a red-giant star
[ [ "A", "the gas clouds of Jupiter" ], [ "B", "the minerals of Earth's core" ], [ "C", "the atmospheres of ancient nebulae" ], [ "D", "the residue of dying black holes" ], [ "E", "the rings of a supermassive planet" ], [ "F", "the ice caps of comets in orbit" ], [ "G", "the core of a red-giant star" ], [ "H", "a supernova" ], [ "I", "the mantle of an active volcano" ], [ "J", "a nearby galaxy" ] ]
G
the core of a red-giant star
Science
Astronomy
Cosmology
middle
a8ce402077104fe1a0348d7b980b70be
supergpqa
In a 1-2 type shell-and-tube heat exchanger with a heat transfer area of 5 m$^{2}$, hot water outside the tubes is cooled by cold water inside the tubes. The heat transfer coefficient $K=1.4\times10^3$ W·m$^{-2}$·K$^{-1}$. The flow rates and inlet temperatures of the cold and hot water are as follows: $q_{m,2}=1\times10^4$ kg·h$^{-1}$, $q_{m+1}=5\times10^3$ kg·h$^{-1}$, $T_1^{\prime}=20$°C, $T_1=100$°C. What is the heat transfer calculated using the logarithmic mean temperature difference method?
A) $269kW$
[ [ "A", "$269kW$" ], [ "B", "$723kW$" ], [ "C", "$512kW$" ], [ "D", "$347kW$" ], [ "E", "$248kW$" ], [ "F", "$384kW$" ], [ "G", "$612kW$" ], [ "H", "$158kW$" ], [ "I", "$459kW$" ], [ "J", "$303kW$" ] ]
A
$269kW$
Engineering
Power Engineering and Engineering Thermophysics
Heat Transfer
hard
1d55d70bc081494da80f9c9735015376
supergpqa
A major polling organization wants to predict the outcome of an upcoming national election (in terms of the proportion of voters who will vote for each candidate). They intend to use a 95% confidence interval with margin of error of no more than 2.5%. What is the minimum sample size needed to accomplish this goal?
H) 1537
[ [ "A", "4096" ], [ "B", "39" ], [ "C", "1536" ], [ "D", "1024" ], [ "E", "40" ], [ "F", "1000" ], [ "G", "500" ], [ "H", "1537" ], [ "I", "2000" ], [ "J", "2048" ] ]
H
1537
Economics
Applied Economics
Economic Statistics
middle
48c98789977247ba9e101fee3e37fe68
supergpqa
A long string having a cross-sectional area $0.80 \,mm^2$and density, $12.5 \,g / cm^3$ is subjected to a tension of $64 \,N$ along the  x-axis. One end (at x = 0) of this string is attached to a vibrator moving in transverse direction at a frequency of $20 \,Hz.$ At $t = 0$, the source is at a maximum displacement $y = 1.0 \,cm.$What is the velocity of this particle at this instant?
E) $$40 \pi/\sqrt {2}  \,cm/s$$
[ [ "A", "30 \\pi/\\sqrt {2} \\,cm/s" ], [ "B", "$$50 \\pi/\\sqrt{2} \\,cm/s$$" ], [ "C", "25 \\pi/\\sqrt{2} \\,cm/s" ], [ "D", "$$20 \\sqrt {2} \\pi \\,cm/s$$" ], [ "E", "$$40 \\pi/\\sqrt {2}  \\,cm/s$$" ], [ "F", "60 \\pi/\\sqrt{2} \\,cm/s" ], [ "G", "35 \\pi/\\sqrt{2} \\,cm/s" ], [ "H", "$$30 \\sqrt {2} \\pi \\,cm/s$$" ], [ "I", "$$10 \\sqrt {2} \\pi \\,cm/s$$" ] ]
E
$$40 \pi/\sqrt {2}  \,cm/s$$
Science
Physics
Acoustics
middle
daeb3b8cc2cc4faa858c73b3d30f2600
supergpqa
In a parallel plane electrostatic field, if a certain part of the boundary line coincides with an electric field intensity line, how should the boundary condition for this segment of the boundary line be expressed?
I) $$ \varepsilon{\frac{\partial\varphi} {\partial n}}=0 $$
[ [ "A", "$$\n\\vec{\\nabla}\\times\\vec{E}=0\n$$" ], [ "B", "$$\n\\varepsilon{\\frac{\\partial\\varphi} {\\partial t}}=0\n$$" ], [ "C", "$$\n\\varepsilon{\\frac{\\partial^2\\varphi} {\\partial n^2}}=0\n$$" ], [ "D", "$$\n\\varepsilon{\\frac{\\partial\\varphi} {\\partial\\theta}}=0\n$$" ], [ "E", "$$\n\\varepsilon\\vec{\\nabla}\\cdot\\vec{E}=0\n$$" ], [ "F", "$$\n\\varepsilon_{r}\\frac{\\partial\\varphi} {\\partial t}=0\n$$" ], [ "G", "$$\n\\vec{\\nabla}\\cdot\\vec{E}=0\n$$" ], [ "H", "$$\n\\vec{E}\\cdot\\vec{n}=0\n$$" ], [ "I", "$$\n\\varepsilon{\\frac{\\partial\\varphi} {\\partial n}}=0\n$$" ], [ "J", "$$\n\\frac{\\partial\\varphi} {\\partial t}=0\n$$" ] ]
I
$$ \varepsilon{\frac{\partial\varphi} {\partial n}}=0 $$
Engineering
Electronic Science and Technology
Electromagnetic Field and Microwave Technology
middle
a6f15c4292fc4787ade95f806a40b24d
supergpqa
What radio show was the most listened-to program in the United States in the 1980s?
C) Larry King Show
[ [ "A", "The Tonight Show with Jay Leno" ], [ "B", "The Larry King Live Show" ], [ "C", "Larry King Show" ], [ "D", "The David Letterman Show" ], [ "E", "The Tom Snyder Show" ], [ "F", "The Johnny Carson Show" ], [ "G", "The Tonight Show with Johnny Carson" ], [ "H", "The Mike Douglas Show" ], [ "I", "The Phil Donahue Show" ], [ "J", "The Dick Cavett Show" ] ]
C
Larry King Show
Literature and Arts
Journalism and Communication
Communication and Broadcasting
easy
700b4f3935874979b8bc07d6e8036d7c
supergpqa
If the probabilities of random events $A$ and $B$ are respectively $P(A) = 0.6$ and $P(B) = 0.5$, then what is the relationship between $A$ and $B$?
B) Compatibility
[ [ "A", "B includes A" ], [ "B", "Compatibility" ], [ "C", "Inclusion of events A and B Events contain A" ], [ "D", "The opposite events of event B contain A" ], [ "E", "A includes B" ], [ "F", "Inclusion of events A and B Events contain B" ], [ "G", "Mutually Independent" ], [ "H", "The opposite events of event A contain B" ], [ "I", "Incompatible" ], [ "J", "Mutually antagonistic" ] ]
B
Compatibility
Science
Mathematics
Probability and Statistics
easy
03c4880f78384a2e9e50845c10e7bcfa
supergpqa
In PHC how to dispose placenta-
D) Deep burial
[ [ "A", "Shallow burial" ], [ "B", "Surface burial" ], [ "C", "Chemical treatment" ], [ "D", "Deep burial" ], [ "E", "Microwaving" ], [ "F", "Composting" ], [ "G", "Chemical treatment followed by deep burial" ], [ "H", "Incineration" ], [ "I", "Landfill disposal" ], [ "J", "Autoclaving" ] ]
D
Deep burial
Medicine
Public Health and Preventive Medicine
Maternal, Child and Adolescent Health
middle
c8ade897761b48e79b533f0e8e0185df
supergpqa
The area enclosed by the parabola \( y^2 = 2px \) and the normal line at the point \(\left(\frac{p}{2}, p\right)\) is \( \) .
F) \(\frac{16}{3} p^2\)
[ [ "A", "\\(\\frac{12}{3} p^2\\)" ], [ "B", "\\(\\frac{20}{3} p^2\\)" ], [ "C", "\\(\\frac{14}{3} p^2\\)" ], [ "D", "\\(\\frac{32}{9} p^2\\)" ], [ "E", "\\(\\frac{18}{3} p^2\\)" ], [ "F", "\\(\\frac{16}{3} p^2\\)" ], [ "G", "\\(\frac{4}{3} p^2\\)" ], [ "H", "\\(\\frac{24}{3} p^2\\)" ], [ "I", "\\(\frac{32}{3} p^2\\)" ], [ "J", "\\(\frac{8}{3} p^2\\)" ] ]
F
\(\frac{16}{3} p^2\)
Science
Mathematics
Geometry and Topology
hard
ce0d67368a71491bb910231d290581bb
supergpqa
Compute the volume percent of graphite, $v_{G}$ in a 2.5 wt% C cast iron, assuming that all the carbon exists as the graphite phase. Assume densities of 7.9 and 2.3 g/$cm^3$ for ferrite and graphite, respectively.
C) $$0.081or8.1vol%$$
[ [ "A", "$$0.041or4.1vol%$$" ], [ "B", "$$0.131or13.1vol%$$" ], [ "C", "$$0.081or8.1vol%$$" ], [ "D", "$$0.051or5.1vol%$$" ], [ "E", "$$0.071or7.1vol%$$" ], [ "F", "$$0.091or9.1vol%$$" ], [ "G", "$$0.101or10.1vol%$$" ], [ "H", "$$0.061or6.1vol%$$" ], [ "I", "$$0.111or11.1vol%$$" ], [ "J", "$$0.121or12.1vol%$$" ] ]
C
$$0.081or8.1vol%$$
Engineering
Materials Science and Engineering
Materials Physics and Chemistry
middle
b805ec58ae8746f9bc9f7f7b48545260
supergpqa
In 2020, what percentage of people were of Malay descent according to Singapore's census?
A) 13.5
[ [ "A", "13.5" ], [ "B", "13.4" ], [ "C", "13.6" ], [ "D", "13.55" ], [ "E", "13.58" ], [ "F", "13.3" ], [ "G", "13.45" ], [ "H", "13.52" ], [ "I", "13.7" ], [ "J", "13.53" ] ]
A
13.5
Sociology
Sociology
Demography and Anthropology
easy
33cbc26ad7244d2085c67ea71131f63e
supergpqa
"The Lord Is My Firm Support" was created by ________.
J) Martin Luther
[ [ "A", "Dietrich Bonhoeffer" ], [ "B", "John Wesley" ], [ "C", "Jonathan Edwards" ], [ "D", "Thomas Aquinas" ], [ "E", "Huldrych Zwingli" ], [ "F", "George Whitefield" ], [ "G", "Augustine of Hippo" ], [ "H", "Charles Spurgeon" ], [ "I", "John Calvin" ], [ "J", "Martin Luther" ] ]
J
Martin Luther
Philosophy
Philosophy
Religious Studies
easy
25b3541bde4b44ce848f5a6007f1564b
supergpqa
The radiation power of a certain antenna is 50 W, and the average power density in the far field at a distance of 1 km in its maximum radiation direction is 0.5 mW/m². If the radiation power remains unchanged and the original antenna is replaced with an elementary dipole, how many times is the average power density of the original antenna at 1 km in the maximum radiation direction compared to that of the elementary dipole?
J) 84.03
[ [ "A", "92.02" ], [ "B", "67.03" ], [ "C", "80.04" ], [ "D", "88.07" ], [ "E", "82.06" ], [ "F", "90.01" ], [ "G", "95.08" ], [ "H", "76.05" ], [ "I", "70.09" ], [ "J", "84.03" ] ]
J
84.03
Engineering
Information and Communication Engineering
Antenna and Radio Communication
middle
c21cce7c933c4be9b214f74a44efee86
supergpqa
A failed attempt at committing a crime means ().
I) The necessary elements for a specific crime were not completed
[ [ "A", "The crime was aborted before being fully executed" ], [ "B", "The basic structures for illicit activity collapsed" ], [ "C", "The criminal act was not fully carried out" ], [ "D", "The detailed plan for the crime fell through" ], [ "E", "The repercussions of the crime were greatly reduced" ], [ "F", "The critical segments for the very crime were lacking" ], [ "G", "The unlawful actions were interrupted beforehand" ], [ "H", "No harmful consequences occurred" ], [ "I", "The necessary elements for a specific crime were not completed" ], [ "J", "The criminal intent was not realized" ] ]
I
The necessary elements for a specific crime were not completed
Law
Law
Criminal Law
middle
627570276b434f1b8b72791c6ae7d504
supergpqa
The principle of enhancing or weakening radiation heat transfer is to change () and ().
C) System blackness, temperature conditions
[ [ "A", "Object radiance, climate states" ], [ "B", "Material darkness, room temperature" ], [ "C", "System blackness, temperature conditions" ], [ "D", "Surface reflectivity, ambient pressure" ], [ "E", "Object thickness, environmental humidity" ], [ "F", "Material opacity, pressure levels" ], [ "G", "Surface color, spatial dimensions" ], [ "H", "Surface gloss, atmospheric pressure" ], [ "I", "Material density, airflow speed" ], [ "J", "Object texture, external temperature" ] ]
C
System blackness, temperature conditions
Engineering
Power Engineering and Engineering Thermophysics
Heat Transfer
easy
109c6405e35447c3b4717f34ae15bb4f
supergpqa
Which company initially synthesized thalidomide?
D) Ciba Pharmaceutical
[ [ "A", "Bayer Pharmaceutical" ], [ "B", "Hoffman-La Roche Pharmaceutical" ], [ "C", "Merck Pharmaceutical" ], [ "D", "Ciba Pharmaceutical" ], [ "E", "Eli Lilly Pharmaceutical" ], [ "F", "Boehringer Ingelheim Pharmaceutical" ], [ "G", "Sandoz Pharmaceutical" ], [ "H", "Roche Pharmaceutical" ], [ "I", "Novartis Pharmaceutical" ], [ "J", "GlaxoSmithKline Pharmaceutical" ] ]
D
Ciba Pharmaceutical
Medicine
Pharmacy
Medicinal Chemistry
easy
b87ec45917804ffc890a7fe8f51ce481
supergpqa
Consider a 30 km-long rectangular tidal bay with a uniform depth of 20 m. The tidal pattern is semi-diurnal, with a tidal range of 6 m at the bay's apex. Calculate the maximum tidal current velocity at the bay's mouth and the maximum tidal amplitude at the bay's apex. Use the following assumptions: - \( A = 3 \, \text{m} \), \( h = 20 \, \text{m} \), \( T = 12 \, \text{h} 24 \, \text{min} = 44640 \, \text{s} \) - The wave propagation speed is given by \( c = \sqrt{gh} \). - Wavelength \( \lambda = cT \). - Tidal current velocity is \( u = -A \sqrt{\frac{g}{h}} \cos \left( \frac{2\pi x}{\lambda} \right) \sin \left( \frac{2\pi t}{T} \right) \). - Tidal amplitude at the bay's apex is \( \zeta = A \sin \left( \frac{2\pi x}{\lambda} \right) \cos \left( \frac{2\pi t}{T} \right) \).
E) Maximum velocity: \( 0.63 \, \text{m/s} \), Maximum amplitude: \( 5.72 \, \text{m} \)
[ [ "A", "Maximum velocity: \\( 0.60 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.50 \\, \\text{m} \\)" ], [ "B", "Maximum velocity: \\( 0.62 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.60 \\, \\text{m} \\)" ], [ "C", "Maximum velocity: \\( 0.63 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.50 \\, \\text{m} \\)" ], [ "D", "Maximum velocity: \\( 0.55 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.40 \\, \\text{m} \\)" ], [ "E", "Maximum velocity: \\( 0.63 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.72 \\, \\text{m} \\)" ], [ "F", "Maximum velocity: \\( 0.70 \\, \\text{m/s} \\), Maximum amplitude: \\( 6.00 \\, \\text{m} \\)" ], [ "G", "Maximum velocity: \\( 0.50 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.20 \\, \\text{m} \\)" ], [ "H", "Maximum velocity: \\( 0.68 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.90 \\, \\text{m} \\)" ], [ "I", "Maximum velocity: \\( 0.64 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.70 \\, \\text{m} \\)" ], [ "J", "Maximum velocity: \\( 0.65 \\, \\text{m/s} \\), Maximum amplitude: \\( 5.80 \\, \\text{m} \\)" ] ]
E
Maximum velocity: \( 0.63 \, \text{m/s} \), Maximum amplitude: \( 5.72 \, \text{m} \)
Science
Physical Oceanography
Physical Oceanography
hard
4f23a8fe644b4cadbbd674d592f7e2bc
supergpqa
In the quote "吾闻汉购我头千金,邑万户" the word "购" means ()
E) Reward Offered
[ [ "A", "Search Requested" ], [ "B", "Buy at a high price" ], [ "C", "Price Demanded" ], [ "D", "Trade Arranged" ], [ "E", "Reward Offered" ], [ "F", "Bounty Claimed" ], [ "G", "Money Promised" ], [ "H", "Sell" ], [ "I", "Payment Posted" ], [ "J", "Seek" ] ]
E
Reward Offered
Literature and Arts
Language and Literature
Classical Chinese Literature
middle
3babbfc7c26347d29e160a30997cf9ed
supergpqa
The ( ) of the function $f(x)=x+sin x$.
A) The convex interval is $(2n\pi,(2n+1)\pi)$, the concave interval is $((2n-1)\pi,2n\pi)$
[ [ "A", "The convex interval is $(2n\\pi,(2n+1)\\pi)$, the concave interval is $((2n-1)\\pi,2n\\pi)$" ], [ "B", "The convex interval is $(n\\pi,(n+1)\\pi)$, the concave interval is $((n-1)\\pi,n\\pi)$" ], [ "C", "The convex interval is $((2n-1)\\pi,2n\\pi)$, the concave interval is $(2n\\pi,(2n+1)\\pi)$" ], [ "D", "The convex interval is $((n-1)\\pi,n\\pi)$, the concave interval is $(n\\pi,(n+1)\\pi)$" ], [ "E", "The convex interval is $((2n-2)\\pi,(2n-1)\\pi)$, the concave interval is $((2n-1)\\pi,2n\\pi)$" ] ]
A
The convex interval is $(2n\pi,(2n+1)\pi)$, the concave interval is $((2n-1)\pi,2n\pi)$
Science
Mathematics
Mathematical Analysis
hard
5158af0215984967a13c146154dc71f3
supergpqa
Regarding the stroma of the tumor, which statement is correct?
B) Nonspecific
[ [ "A", "Highly diverse" ], [ "B", "Nonspecific" ], [ "C", "Composed only of epithelial cells" ], [ "D", "Mainly composed of muscles" ], [ "E", "Blood vessel-free" ], [ "F", "Specific" ], [ "G", "All tumors have stroma." ], [ "H", "There are variations in form." ], [ "I", "Generally contains neurons" ], [ "J", "Frequently includes congestion" ] ]
B
Nonspecific
Medicine
Basic Medicine
Pathology and Pathophysiology
middle
34c8dbb18c3445dfbe833c7a79926e9e
supergpqa
The coordinates of the southwest corner of a 1:2000 real estate map are x=3948Km and y=(35)126Km, what is the complete and abbreviated numbering of the map in terms of the numbered area code for that map?
G) 351392648 4800
[ [ "A", "351292648 4800" ], [ "B", "351392648 4801" ], [ "C", "351392548 4800" ], [ "D", "351392648 4804" ], [ "E", "351392648 4803" ], [ "F", "351392650 4800" ], [ "G", "351392648 4800" ], [ "H", "351392648 4799" ], [ "I", "351392649 4800" ], [ "J", "351392648 4802" ] ]
G
351392648 4800
Engineering
Surveying and Mapping Science and Technology
Cartography and Geographic Information Engineering
easy
182d920b98be4045b88379e6e80470d9
supergpqa
A sample of chalcanthite ($\mathrm{CuSO}_{4} \cdot \mathrm{5H}_{2} \mathrm{O}$) weighing $0.5180 \ \mathrm{g}$ was analyzed using an iodometric titration method. At the endpoint of the titration, $18.58 \ \mathrm{mL}$ of $\mathrm{Na}_{2} \mathrm{S}_{2} \mathrm{O}_{3}$ standard solution was consumed. When the $\mathrm{Na}_{2} \mathrm{S}_{2} \mathrm{O}_{3}$ solution was standardized with $\mathbf{K}_{2} \mathbf{Cr}_{2} \mathbf{O}_{7}$, it was found that $41.22 \ \mathrm{mL}$ of $\mathbf{Na}_{2} \mathbf{S}_{2} \mathbf{O}_{3}$ solution corresponded to $0.2121 \ \mathrm{g}$ of $\mathbf{K}_{2} \mathbf{Cr}_{2} \mathbf{O}_{7}$. Calculate the content of $\mathrm{CuSO}_{4} \cdot \mathrm{5H}_{2} \mathrm{O}$ in the sample is().($M_{\mathrm{K_{2}Cr_{2}O_{7}}} = 294.2$, $M_{\mathrm{CuSO_{4} \cdot 5H_{2}O}} = 249.7$)
H) $$ 9 3. 9 5 \% $$
[ [ "A", "$$\n1 0 0. 7 2 \\%\n$$" ], [ "B", "$$\n9 8. 4 7 \\%\n$$" ], [ "C", "$$\n8 2. 5 1 \\%\n$$" ], [ "D", "$$\n8 8. 9 4 \\%\n$$" ], [ "E", "$$\n8 5. 7 8 \\%\n$$" ], [ "F", "$$\n9 4. 1 6 \\%\n$$" ], [ "G", "$$\n1 0 2 . 3 0 \\%\n$$" ], [ "H", "$$\n9 3. 9 5 \\%\n$$" ], [ "I", "$$\n9 6. 8 9 \\%\n$$" ], [ "J", "$$\n9 0. 6 3 \\%\n$$" ] ]
H
$$ 9 3. 9 5 \% $$
Science
Chemistry
Analytical Chemistry
hard
06068d1890b64c1b84aa2b3dd43f5a68
supergpqa
We now define an algorithm: The definition of a(n) is the number of Baxter permutations of length n (Baxter numbers). Baxter permutations are permutations that avoid the patterns 2-14-3 and 3-41-2. Given the input x_list (a series of values): [15, 16, 17, 18, 19, 20, 21, 22, 23, 24], determine the corresponding output sequence y_list.
I) [2593341586, 16458756586, 105791986682, 687782586844, 4517543071924, 29949238543316, 200234184620736, 1349097425104912, 9154276618636016, 62522506583844272]
[ [ "A", "[2593341584, 16458756584, 105791986684, 687782586842, 4517543071922, 29949238543314, 200234184620734, 1349097425104917, 9154276618636013, 62522506583844269]" ], [ "B", "[2593341589, 16458756589, 105791986689, 687782586849, 4517543071929, 29949238543319, 200234184620739, 1349097425104919, 9154276618636019, 62522506583844279]" ], [ "C", "[2593341587, 16458756587, 105791986683, 687782586845, 4517543071925, 29949238543317, 200234184620737, 1349097425104913, 9154276618636017, 62522506583844273]" ], [ "D", "[2593341582, 16458756580, 105791986680, 687782586840, 4517543071920, 29949238543310, 200234184620730, 1349097425104915, 9154276618636010, 62522506583844270]" ], [ "E", "[2593341583, 16458756583, 105791986683, 687782586841, 4517543071921, 29949238543312, 200234184620732, 1349097425104918, 9154276618636012, 62522506583844275]" ], [ "F", "[2593341588, 16458756588, 105791986688, 687782586848, 4517543071928, 29949238543318, 200234184620738, 1349097425104912, 9154276618636020, 62522506583844278]" ], [ "G", "[2593341580, 16458756580, 105791986680, 687782586840, 4517543071919, 29949238543309, 200234184620729, 1349097425104911, 9154276618636009, 62522506583844268]" ], [ "H", "[2593341581, 16458756581, 105791986681, 687782586841, 4517543071921, 29949238543311, 200234184620731, 1349097425104914, 9154276618636014, 62522506583844274]" ], [ "I", "[2593341586, 16458756586, 105791986682, 687782586844, 4517543071924, 29949238543316, 200234184620736, 1349097425104912, 9154276618636016, 62522506583844272]" ], [ "J", "[2593341585, 16458756585, 105791986685, 687782586843, 4517543071923, 29949238543315, 200234184620735, 1349097425104916, 9154276618636015, 62522506583844271]" ] ]
I
[2593341586, 16458756586, 105791986682, 687782586844, 4517543071924, 29949238543316, 200234184620736, 1349097425104912, 9154276618636016, 62522506583844272]
Science
Mathematics
Special Number Theory
hard
10d08a365e264eafbb9b80b9d75c3562
supergpqa
The principle of amino acid paper chromatography is based on differences in ___.
A) Distribution coefficient of mixed amino acids in two immiscible solvents
[ [ "A", "Distribution coefficient of mixed amino acids in two immiscible solvents" ], [ "B", "Separation rate of mixed amino acids in dual phases" ], [ "C", "Binding affinity of amino acids in two immiscible solvents" ], [ "D", "Movement speed of different amino acids in mobile phase" ], [ "E", "Optical density measurements of amino acids in visible light" ], [ "F", "Interaction intensity of amino acids with a stationary phase" ], [ "G", "Molecular weight of various amino acids in stationary phase" ], [ "H", "Reaction velocity of amino acids with a developer" ], [ "I", "Solubility rate of individual amino acids in a single solvent" ], [ "J", "Permeability factor of various amino acids in one solvent" ] ]
A
Distribution coefficient of mixed amino acids in two immiscible solvents
Science
Chemistry
Analytical Chemistry
middle
aefca8bb95f2489cb583155abcce2b4e
supergpqa
A rope of length L and mass M is being pulled on a rough horizontal floor by a constant horizontal force $F=Mg$. The force is acting at one end of the rope in the same direction as the length of the rope. The coefficient of kinetic friction between rope and floor is $1/2$. Then, the tension at the midpoint of the rope is
E) $$\dfrac{Mg}{2}$$
[ [ "A", "$$\\dfrac{Mg}{3}$$" ], [ "B", "$$\\dfrac{Mg}{8}$$" ], [ "C", "$$\\dfrac{3Mg}{4}$$" ], [ "D", "$$\\dfrac{Mg}{5}$$" ], [ "E", "$$\\dfrac{Mg}{2}$$" ], [ "F", "$$\\dfrac{2Mg}{5}$$" ], [ "G", "$$\\dfrac{Mg}{6}$$" ], [ "H", "$$\\dfrac{Mg}{4}$$" ], [ "I", "$$\\dfrac{3Mg}{8}$$" ] ]
E
$$\dfrac{Mg}{2}$$
Engineering
Mechanics
Rigid Body Mechanics
middle
ceb13a28bd444730972ab8e1a2f2d98d
supergpqa
At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface ( R = radius of earth)
H) $$0.414 \ R$$
[ [ "A", "$$1.44 \\ R$$" ], [ "B", "$$R$$" ], [ "C", "0.586 \\ R" ], [ "D", "0.514 \\ R" ], [ "E", "0.436 \\ R" ], [ "F", "$$2R$$" ], [ "G", "0.314 \\ R" ], [ "H", "$$0.414 \\ R$$" ], [ "I", "0.500 \\ R" ], [ "J", "0.707 \\ R" ] ]
H
$$0.414 \ R$$
Science
Geophysics
Solid Earth Geophysics
hard
843fe61cd9554e519513e3e6978186ae
supergpqa
State one important reason why Smith's principle of the "invisible hand" does not assure the "perfect functioning," without government intervention, of the U.S. economy today.
A) Perfect competition is required for Smith's principle to be completely effective
[ [ "A", "Perfect competition is required for Smith's principle to be completely effective" ], [ "B", "The \"invisible hand\" only works in non-technological markets" ], [ "C", "The principle is based on global, not national, economies" ], [ "D", "The \"invisible hand\" is countered by the presence of monopolies and oligopolies" ], [ "E", "Smith's principle does not account for externalities affecting the economy" ], [ "F", "Government intervention is always necessary" ], [ "G", "Smith's principle assumes all actors have perfect information" ], [ "H", "Smith's principle relies on the assumption of unlimited natural resources" ], [ "I", "Smith's principle only applies to certain markets" ], [ "J", "Smith's principle is outdated" ] ]
A
Perfect competition is required for Smith's principle to be completely effective
Economics
Theoretical Economics
Economic History
middle
70aacd0e66a24f99b6e2af112b64e011
supergpqa
Calculate the maximum and minimum number of electrons. Which may have magetic quantum number m = +1 and spin quantum $s=\cfrac { 1 }{ 2 } $ in Chromium (Cr) :
B) 3,2
[ [ "A", "5,3" ], [ "B", "3,2" ], [ "C", "4,3" ], [ "D", "4,1" ], [ "E", "5,2" ], [ "F", "2,1" ], [ "G", "4,2" ], [ "H", "6,4" ], [ "I", "2,3" ], [ "J", "3,1" ] ]
B
3,2
Science
Physics
Atomic and Molecular Physics
hard
4686d427c6db4eb3a580784b98ecc26f
supergpqa
Estimate the mean ionic activity coefficient and activity of a solution that is 0.015 mol kg$^{-1}$ Mg$F_{\mathrm{2}}$(ac) and 0.025 mol kg$^{-1}$ NaCI(aq).
H) $$ {0. 0 7 0} $$ $$ {0. 54} $$ $$ {0. 0081} $$ $$ {0. 016} $$ $$ {0. 73} $$ $$ {0. 018} $$ $$ {0. 018} $$
[ [ "A", "$$\n{0. 0 5 5}\n$$\n$$\n{0. 50}\n$$\n$$\n{0. 0031}\n$$\n$$\n{0. 011}\n$$\n$$\n{0. 68}\n$$\n$$\n{0. 013}\n$$\n$$\n{0. 013}\n$$" ], [ "B", "$$\n{0. 0 8 5}\n$$\n$$\n{0. 49}\n$$\n$$\n{0. 0021}\n$$\n$$\n{0. 010}\n$$\n$$\n{0. 67}\n$$\n$$\n{0. 012}\n$$\n$$\n{0. 012}\n$$" ], [ "C", "$$\n{0. 0 6 5}\n$$\n$$\n{0. 51}\n$$\n$$\n{0. 0051}\n$$\n$$\n{0. 013}\n$$\n$$\n{0. 70}\n$$\n$$\n{0. 015}\n$$\n$$\n{0. 015}\n$$" ], [ "D", "$$\n{0. 0 7 5}\n$$\n$$\n{0. 57}\n$$\n$$\n{0. 0111}\n$$\n$$\n{0. 019}\n$$\n$$\n{0. 76}\n$$\n$$\n{0. 021}\n$$\n$$\n{0. 021}\n$$" ], [ "E", "$$\n{0. 0 9 0}\n$$\n$$\n{0. 52}\n$$\n$$\n{0. 0061}\n$$\n$$\n{0. 014}\n$$\n$$\n{0. 71}\n$$\n$$\n{0. 016}\n$$\n$$\n{0. 016}\n$$" ], [ "F", "$$\n{0. 0 6 0}\n$$\n$$\n{0. 53}\n$$\n$$\n{0. 0071}\n$$\n$$\n{0. 015}\n$$\n$$\n{0. 72}\n$$\n$$\n{0. 017}\n$$\n$$\n{0. 017}\n$$" ], [ "G", "$$\n{0. 0 9 5}\n$$\n$$\n{0. 50}\n$$\n$$\n{0. 0041}\n$$\n$$\n{0. 012}\n$$\n$$\n{0. 69}\n$$\n$$\n{0. 014}\n$$\n$$\n{0. 014}\n$$" ], [ "H", "$$\n{0. 0 7 0}\n$$\n$$\n{0. 54}\n$$\n$$\n{0. 0081}\n$$\n$$\n{0. 016}\n$$\n$$\n{0. 73}\n$$\n$$\n{0. 018}\n$$\n$$\n{0. 018}\n$$" ], [ "I", "$$\n{0. 0 8 0}\n$$\n$$\n{0. 55}\n$$\n$$\n{0. 0091}\n$$\n$$\n{0. 017}\n$$\n$$\n{0. 74}\n$$\n$$\n{0. 019}\n$$\n$$\n{0. 019}\n$$" ], [ "J", "$$\n{0. 0 5 0}\n$$\n$$\n{0. 56}\n$$\n$$\n{0. 0101}\n$$\n$$\n{0. 018}\n$$\n$$\n{0. 75}\n$$\n$$\n{0. 020}\n$$\n$$\n{0. 020}\n$$" ] ]
H
$$ {0. 0 7 0} $$ $$ {0. 54} $$ $$ {0. 0081} $$ $$ {0. 016} $$ $$ {0. 73} $$ $$ {0. 018} $$ $$ {0. 018} $$
Science
Chemistry
Physical Chemistry
hard
464c84719812457abf3dbb316a87c4fa
supergpqa
The foundation has a rectangular base, with an additional base pressure of 200 kPa. Below the base, there is a $2.5 \mathrm{m}$ thick layer of silty clay followed by a very thick layer of dense sand. It is known that the natural unit weight of the silty clay is $19 \mathrm{kN/m^{3}}$, the average void ratio is 0.750, the average coefficient of compressibility is $0.25 \mathrm{MPa}^{-1}$, and the additional stress coefficient at a depth of $2.5 \mathrm{m}$ below the center of the base is 0.48. If the deformation of the dense sand is disregarded, calculate the consolidation settlement of this foundation.(Note: For calculation, consider the foundation soil as a single layer.)
C) $$ 5 2. 8 6 {\mathrm{m m}} $$
[ [ "A", "$$\n4 8. 5 0 {\\mathrm{m m}}\n$$" ], [ "B", "$$\n4 7. 9 7 {\\mathrm{m m}}\n$$" ], [ "C", "$$\n5 2. 8 6 {\\mathrm{m m}}\n$$" ], [ "D", "$$\n5 6. 9 2 {\\mathrm{m m}}\n$$" ], [ "E", "$$\n4 9. 7 3 {\\mathrm{m m}}\n$$" ], [ "F", "$$\n5 1. 3 2 {\\mathrm{m m}}\n$$" ], [ "G", "$$\n5 0. 2 5 {\\mathrm{m m}}\n$$" ], [ "H", "$$\n5 3. 6 8 {\\mathrm{m m}}\n$$" ], [ "I", "$$\n5 5. 4 4 {\\mathrm{m m}}\n$$" ], [ "J", "$$\n5 4. 1 0 {\\mathrm{m m}}\n$$" ] ]
C
$$ 5 2. 8 6 {\mathrm{m m}} $$
Engineering
Civil Engineering
Geotechnical Engineering
hard
ea50216c3b2a4c1b9aad4106e2adff36
supergpqa
Find the first-order best uniform approximation polynomial of the function $f(x) = \sqrt{1 + x^2}$ on the interval $\left[ 0, 1 \right]$, and determine its deviation as ____.
G) $$ P_{1} ( \ x )=0. 9 5 5+0. 4 1 4 2 \, x $$ $$ \Delta( f, P_{1} )=0.045 $$
[ [ "A", "$$\nP_{1} ( \\ x )=0. 9 5 3+0. 4 1 7 1 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.049\n$$" ], [ "B", "$$\nP_{1} ( \\ x )=0. 9 5 9+0. 4 0 5 5 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.046\n$$" ], [ "C", "$$\nP_{1} ( \\ x )=0. 9 5 4+0. 3 8 9 9 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.051\n$$" ], [ "D", "$$\nP_{1} ( \\ x )=0. 9 5 2+0. 4 0 0 8 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.060\n$$" ], [ "E", "$$\nP_{1} ( \\ x )=0. 9 6 0+0. 4 2 1 4 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.047\n$$" ], [ "F", "$$\nP_{1} ( \\ x )=0. 9 5 6+0. 4 4 9 2 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.050\n$$" ], [ "G", "$$\nP_{1} ( \\ x )=0. 9 5 5+0. 4 1 4 2 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.045\n$$" ], [ "H", "$$\nP_{1} ( \\ x )=0. 9 5 7+0. 4 3 3 9 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.055\n$$" ], [ "I", "$$\nP_{1} ( \\ x )=0. 9 5 0+0. 3 9 8 7 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.048\n$$" ], [ "J", "$$\nP_{1} ( \\ x )=0. 9 5 8+0. 4 2 3 5 \\, x\n$$\n$$\n\\Delta( f, P_{1} )=0.030\n$$" ] ]
G
$$ P_{1} ( \ x )=0. 9 5 5+0. 4 1 4 2 \, x $$ $$ \Delta( f, P_{1} )=0.045 $$
Science
Mathematics
Numerical Analysis
hard
95c7561eb45d47899026a3fc6bb497fe
supergpqa
Compared with the near-surface air, the content of () in soil air is not significantly different.
H) N2
[ [ "A", "Hydrogen and Oxygen" ], [ "B", "CO2" ], [ "C", "Water vapor and CO2" ], [ "D", "Nitrogen and Methane" ], [ "E", "CO and O2" ], [ "F", "Methane and CO2" ], [ "G", "02" ], [ "H", "N2" ], [ "I", "Oxygen only" ], [ "J", "O2 and N2" ] ]
H
N2
Science
Atmospheric Science
Atmospheric Physics and Atmospheric Environment
easy
f974b5ba331a44029c2c024c2b32c188
supergpqa
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Calculate the final pressure of a sample of carbon dioxide that expands reversibly and adiabatically from $57.4 \mathrm{kPa}$ and $1.0 \mathrm{dm}^3$ to a final volume of $2.0 \mathrm{dm}^3$. Take $\gamma=1.4$.
H) 22$\text{kPA}$
[ [ "A", "20 kPa" ], [ "B", "15$\\text{kPA}$" ], [ "C", "28 kPa" ], [ "D", "40 kPa" ], [ "E", "30$\\text{kPA}$" ], [ "F", "45 kPa" ], [ "G", "18 kPa" ], [ "H", "22$\\text{kPA}$" ], [ "I", "25$\\text{kPA}$" ], [ "J", "35 kPa" ] ]
H
22$\text{kPA}$
Science
Physics
Thermodynamics
hard
63d811c685a74ce8a5e2f59368a09d3c
supergpqa
What does aesthetic judgment often go beyond?
D) Sensory levels
[ [ "A", "Personal beliefs" ], [ "B", "Tangible elements" ], [ "C", "Logical analysis" ], [ "D", "Sensory levels" ], [ "E", "Basic perception" ], [ "F", "Rational thinking" ], [ "G", "Emotional states" ], [ "H", "Artistic criteria" ], [ "I", "Cognitive processes" ], [ "J", "Surface details" ] ]
D
Sensory levels
Philosophy
Philosophy
Philosophical Aesthetics
middle
d31d4255b33d4998b389dd7dae675afb
supergpqa
Under normal circumstances, the lower borders of both lungs are roughly the same, situated at the ____ intercostal space along the midclavicular line, the ____ intercostal space along the midaxillary line, and the _____ rib at the scapular line.
D) sixth, eighth, tenth
[ [ "A", "third, fifth, seventh" ], [ "B", "eighth, tenth, twelfth" ], [ "C", "seventh, eighth, eleventh" ], [ "D", "sixth, eighth, tenth" ], [ "E", "second, fourth, sixth" ], [ "F", "fourth, sixth, eighth" ], [ "G", "seventh, ninth, eleventh" ], [ "H", "fifth, seventh, ninth" ], [ "I", "fifth, eighth, tenth" ], [ "J", "sixth, seventh, tenth" ] ]
D
sixth, eighth, tenth
Medicine
Clinical Medicine
Geriatric Medicine
easy
bece18bfb16748948c723f93595e960b
supergpqa
Three moles of an ideal gas $\left (C_{P} = \dfrac {7R}{2}\right )$ at pressure $P_{A}$ and temperature $T_{A}$ is isothermally expanded to twice the initial volume. The gas is then compressed at constant pressure to its original volume. Finally the gas is heated at constant volume to its original pressure $P_{A}$. Calculate the net work done by the gas and the net heat supplied to the gas during the complete process.
I) $0.579\ RT_{A}, \triangle Q = 0.579\ RT_{A}$.
[ [ "A", "$0.9\\ RT_{A}, \\triangle Q = 0.779\\ RT_{A}$." ], [ "B", "$$0.479\\ RT_{A}, \\triangle Q = 0.579\\ RT_{A}$$" ], [ "C", "$$0.679\\ RT_{A}, \\triangle Q = 0.779\\ RT_{A}$$" ], [ "D", "$79\\ RT_{A}, \\triangle Q = 0.679\\ RT_{A}$." ], [ "E", "$0.7\\ RT_{A}, \\triangle Q = 0.979\\ RT_{A}$." ], [ "F", "$$0.679\\ RT_{A}, \\triangle Q = 0.579\\ RT_{A}$$" ], [ "G", "$$0.679\\ RT_{A}, \\triangle Q = 0.879\\ RT_{A}$$" ], [ "H", "$$0.579\\ RT_{A}, \\triangle Q = 0.779\\ RT_{A}$$" ], [ "I", "$0.579\\ RT_{A}, \\triangle Q = 0.579\\ RT_{A}$." ], [ "J", "$$0.679\\ RT_{A}, \\triangle Q = 0.679\\ RT_{A}$$" ] ]
I
$0.579\ RT_{A}, \triangle Q = 0.579\ RT_{A}$.
Science
Physics
Thermodynamics and Statistical Physics
hard
585d256377e64bef8b1836fae00d1c49
supergpqa
Mass spectrometry is the process of analyzing samples in a mass spectrometer by vaporizing them at high temperatures, generating ions that are impacted by a certain amount of energy in the ion source, and then separated in order by mass-to-nuclear ratio and expressed by the detector. The following options do not belong to the type of mass spectrometry ion source: __. I. Electron bombardment II Fourier transform III. Chemical ionization IV. Fast atom bombardment
C) Only II
[ [ "A", "I and II" ], [ "B", "I and IV" ], [ "C", "Only II" ], [ "D", "I and III" ], [ "E", "Only III" ], [ "F", "Only I" ], [ "G", "I ,II and III" ], [ "H", "II ,III and IV" ], [ "I", "Only IV" ], [ "J", "I ,II and IV" ] ]
C
Only II
Science
Oceanography
Marine Biology
easy
81c415e816bf47258cd793bbe00e086a
supergpqa
The permissible deviation of raw materials by weight is specified in the concrete mixing operation, including cement and admixture What is the allowable deviation of?
E) ±2%
[ [ "A", "±1.5%" ], [ "B", "±1%" ], [ "C", "±3.5%" ], [ "D", "±0.5%" ], [ "E", "±2%" ], [ "F", "±6%" ], [ "G", "±4%" ], [ "H", "±2.5%" ], [ "I", "±3%" ], [ "J", "±5%" ] ]
E
±2%
Engineering
Civil Engineering
Structural Engineering
easy
510e9df51e7048dea776bc809ce413da
supergpqa
Which of the following about geochemical province is correct?
A) In a certain large area of the Earth's crust, certain components are particularly enriched, with not only one or two types of rocks showing especially high element abundance, but also deposits of these elements often appearing in groups, resulting in a particularly high occurrence rate
[ [ "A", "In a certain large area of the Earth's crust, certain components are particularly enriched, with not only one or two types of rocks showing especially high element abundance, but also deposits of these elements often appearing in groups, resulting in a particularly high occurrence rate" ], [ "B", "Within a vast segment of the Earth's crust, multiple substances are distinctly deficient, presenting only a handful of rock forms that reveal exceedingly low element concentrations, thereby leading to a notably low frequency of these deposits." ], [ "C", "Across a broad segment of the Earth's crust, various substances are excessively abundant, including numerous rock forms showcasing elevated element levels, thereby generating a commonly high rate of occurrences." ], [ "D", "Within a limited region of the Earth's core, specific substances are considerably enriched, exhibiting a few rock types with high elemental concentrations, thus leading to a frequently high occurrence rate." ], [ "E", "Within a vast section of the Earth's core, several substances are notably enriched, including diverse rock forms exhibiting elevated elemental concentrations, thus resulting in a frequently high occurrence rate." ], [ "F", "Within a vast region of the Earth's mantle, several components are substantially enriched, featuring not only multiple rock types demonstrating high elemental presence, but also these elements frequently appearing in clusters, thus indicating a significantly high occurrence rate." ], [ "G", "In a specific ample zone of the Earth's crust, some minerals are markedly depleted, with only one or two kinds of rocks demonstrating notably low element levels, and deposits of these elements seldom manifest, consequently showing a particularly low occurrence rate." ], [ "H", "Within an extensive zone of the Earth's core, specific elements are unusually scarce, encompassing only a few varieties of minerals that show remarkably low elemental presence, hence displaying a really low occurrence." ], [ "I", "In a broad expansive area of the Earth's mantle, different constituents are notably concentrated, possessing not only several rock types with increased elemental quantity, but also clusters of these elements regularly surfacing, thus indicating a considerably high presence." ], [ "J", "Within a broad region of the Earth's mantle, distinct substances are notably depleted, including several kinds of minerals exhibiting reduced elemental concentrations, thus producing a decreased frequency of occurrences." ] ]
A
In a certain large area of the Earth's crust, certain components are particularly enriched, with not only one or two types of rocks showing especially high element abundance, but also deposits of these elements often appearing in groups, resulting in a particularly high occurrence rate
Science
Geology
Geochemistry
easy
4f6a6113a0fe4d08aefda145a66f44b9
supergpqa
After activation, it can promote the transduction of T cell activation signal, and the PIK associated with the CD4/CD8 cytoplasmic region is ().
D) $$\mathrm{p 5 6^{L e k}}$$
[ [ "A", "$$\\mathrm{P L C-V}$$" ], [ "B", "$$\\mathrm{Z A P-8 0}$$" ], [ "C", "$$\\mathrm{p 5 9^{L e k}}$$" ], [ "D", "$$\\mathrm{p 5 6^{L e k}}$$" ], [ "E", "$$\\mathrm{p 5 7^{L e k}}$$" ], [ "F", "$$\\mathrm{p 5 8^{L e k}}$$" ], [ "G", "$$\\mathrm{P L C-Y}$$" ], [ "H", "$$\\mathrm{p 5 3^{L e k}}$$" ], [ "I", "$$\\mathrm{Z A P-6 0}$$" ], [ "J", "$$\\mathrm{Z A P-7 0}$$" ] ]
D
$$\mathrm{p 5 6^{L e k}}$$
Medicine
Basic Medicine
Immunology
easy
6dc7ab023c674c04b0f2703450c4a42d
supergpqa
From what school did Phyllida Barlow graduate in 1966?
G) the Slade School of Art
[ [ "A", "the Slade School of Art and Design" ], [ "B", "the Slade School of Art and Fine Art" ], [ "C", "the Slade School of Fine Art and Design" ], [ "D", "the Chelsea College of Art and Design" ], [ "E", "the Central Saint Martins College of Art and Design" ], [ "F", "the Royal College of Art" ], [ "G", "the Slade School of Art" ], [ "H", "the Slade School of Fine Arts and Design" ], [ "I", "the Slade School of Art and Fine Arts" ], [ "J", "the Slade School of Fine Art" ] ]
G
the Slade School of Art
Literature and Arts
Art Studies
Fine Arts
easy
000e8e0a7fd84b6c8fa6a82dd110076c
supergpqa
Japan's national land development plan is based on which law?
B) National Land Development Planning Act
[ [ "A", "National Land Use Planning Act" ], [ "B", "National Land Development Planning Act" ], [ "C", "National Land Development and Planning Regulation" ], [ "D", "National Land Development and Use Act" ], [ "E", "National Land Development and Planning Act (1967)" ], [ "F", "National Land Development and Planning Act (1968)" ], [ "G", "National Land Development and Planning Act" ], [ "H", "National Land Development and Planning Act (1970)" ], [ "I", "National Land Development and Planning Act (1969)" ], [ "J", "National Land Development and Planning Law" ] ]
B
National Land Development Planning Act
Law
Law
International Law
easy
b8560cf85ce04f398680d634e605a0d7
supergpqa
Let $f(x)$ be a monotonically decreasing function on $(0,+\infty)$. Then ()
E) $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n}{f(x)dx}$
[ [ "A", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+1/2}{f(x)dx}$" ], [ "B", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+1}{f(x)dx}$" ], [ "C", "$int_{1}^{n}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+1}{f(x)dx}$" ], [ "D", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n-2}{f(x)dx}$" ], [ "E", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n}{f(x)dx}$" ], [ "F", "$int_{1}^{n}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n}{f(x)dx}$" ], [ "G", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+2}{f(x)dx}$" ], [ "H", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n-1}{f(x)dx}$" ], [ "I", "$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le int_{1}^{n}{f(x)dx}$" ], [ "J", "$int_{1}^{n}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le int_{1}^{n}{f(x)dx}$" ] ]
E
$int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n}{f(x)dx}$
Science
Mathematics
Mathematical Analysis
hard
60229b38c3a04fb390d20459da3cbd24
supergpqa
The colonial spider (Metepeira incrassata) is a social species of spider. Individuals located on the edges of the colony have a higher rate of food capture, but their risk of predation is three times that of individuals in the center of the colony. Based on the above information, please determine which of the following statements about the distribution of different individuals in the colony is correct.
E) Mature spiders of larger size are located at the center of the group.
[ [ "A", "Mature spiders of smaller size are located along the edges of the group." ], [ "B", "Smaller young spiders are distributed in the center of the group." ], [ "C", "Mature spiders that are relatively small in size are distributed along the edges of the group." ], [ "D", "Larger young spiders are distributed in the center of the group." ], [ "E", "Mature spiders of larger size are located at the center of the group." ], [ "F", "Mature spiders of larger size are distributed along the edges of the group." ], [ "G", "Mature spiders of smaller size are distributed at the center of the group." ], [ "H", "Smaller spiders of larger size are located at the center of the group." ], [ "I", "Smaller young spiders are located along the edges of the group." ], [ "J", "Larger young spiders are distributed along the edges of the group." ] ]
E
Mature spiders of larger size are located at the center of the group.
Science
Biology
Ecology
middle
434b14eb658c49d4893989fe8c37c8dc
supergpqa
The following statements about the replication of Escherichia coli DNA are correct ( ).
G) Requires the action of DNA ligase.
[ [ "A", "Necessitates the exchange of histone proteins." ], [ "B", "Necessitates 4 types of RNA-supported precursors." ], [ "C", "not Involves the formation of a DNA primer." ], [ "D", "Requires the creation of 5 types of polypeptides." ], [ "E", "not Requires DNA polymerase II." ], [ "F", "not Involves the degradation of RNA primers." ], [ "G", "Requires the action of DNA ligase." ] ]
G
Requires the action of DNA ligase.
Science
Biology
Microbiology
middle
ae88330bcae64fe39f3a00c7bac16c94
supergpqa
Calderas are formed by which of the following causes?
H) Following the sudden outbreak, there was a downturn.
[ [ "A", "Sudden shift in tectonic plates below." ], [ "B", "Sudden change in underground pressures" ], [ "C", "Misaligned eruptions several times" ], [ "D", "Rapid cooling leading to surface depression" ], [ "E", "Continuous eruptions disrupting geographical layers" ], [ "F", "Massive land displacement during eruptions" ], [ "G", "Subsequent collapse after the peak explosion" ], [ "H", "Following the sudden outbreak, there was a downturn." ], [ "I", "Explosive eruption" ], [ "J", "Lava accumulation spewing from the edge fissures" ] ]
H
Following the sudden outbreak, there was a downturn.
Science
Geology
Mineralogy, Petrology, and Economic Geology
easy
795e291b85874cb2ae50d7c230d37ba1
supergpqa
______ regulation goes further than the ______ that CSOs have with businesses, as it also concerns _______of such processes.
F) Civil, Relations, Outcomes
[ [ "A", "Economic, Relations, Mechanics" ], [ "B", "Legal, Interactions, Mechanics" ], [ "C", "Ethical, Interactions, Mechanics" ], [ "D", "Social, Interactions, Outcomes" ], [ "E", "Human rights, Relations, Mechanics" ], [ "F", "Civil, Relations, Outcomes" ], [ "G", "Environmental, Relations, Mechanics" ], [ "H", "Cultural, Relations, Outcomes" ], [ "I", "Financial, Interactions, Outcomes" ], [ "J", "Political, Interactions, Outcomes" ] ]
F
Civil, Relations, Outcomes
Law
Law
Civil and Commercial Law
middle
dcbb413859b8418e890ed41357db84a8
supergpqa
The mass ratio of objects A, B, and C is 1:2:3. If their kinetic energy is equal and the braking force acting on each object is the same, what is the ratio of their braking distances?
C) 1:1:1
[ [ "A", "1:4:9" ], [ "B", "2:2:3" ], [ "C", "1:1:1" ], [ "D", "3:2:1" ], [ "E", "3:1:2" ], [ "F", "1:2:3" ], [ "G", "3:3:1" ], [ "H", "2:1:3" ], [ "I", "2:3:1" ], [ "J", "4:1:2" ] ]
C
1:1:1
Science
Physics
Thermodynamics
middle
5c7da2e3eac84616b7a79a67e7d64e10
supergpqa
Foraminal brain herniation leads to?
F) Respiratory arrest
[ [ "A", "Hypertensive crisis" ], [ "B", "Hyperventilation" ], [ "C", "Bruit over the skull" ], [ "D", "Ipsilateral hemiplegia" ], [ "E", "Locked in state" ], [ "F", "Respiratory arrest" ], [ "G", "Coma" ], [ "H", "Immediate loss of consciousness" ], [ "I", "Bilateral hemiplegia" ], [ "J", "Ipsilateral pupillary dilatation" ] ]
F
Respiratory arrest
Medicine
Clinical Medicine
Neurology
middle
96b35fcbee6842998a21ddff710cb853
supergpqa
the magnetic needles has magnetic moment $6.7 \times {10^{ - 2}}\;A{m^2}$ and moment of inertia $I = 7.5 \times {10^{ - 6}}\;kg{m^2}$ . It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field?
C) 0.01 T
[ [ "A", "0.1 T" ], [ "B", "0.06 T" ], [ "C", "0.01 T" ], [ "D", "0.12 T" ], [ "E", "0.02 T" ], [ "F", "0.2 T" ], [ "G", "0.04 T" ], [ "H", "0.03 T" ], [ "I", "0.05 T" ], [ "J", "0.08 T" ] ]
C
0.01 T
Science
Physics
Electrodynamics
middle
fb9cc30e4c1540269f5525e9189634a0
supergpqa
Country A is a Member State of the United Nations. In 2006, a United Nations agency in country A, on behalf of the United Nations, signed an agreement with the Government of country A to purchase a batch of office supplies. Due to the delay in the delivery of country A, a dispute arose between the two parties. Which of the following options is correct under the Charter of the United Nations and the relevant rules of international law?
A) The above-mentioned acts on behalf of the United Nations shall be considered to be common to all States Members of the United Nations
[ [ "A", "The above-mentioned acts on behalf of the United Nations shall be considered to be common to all States Members of the United Nations" ], [ "B", "The General Assembly of the United Nations shall have the right to request an advisory opinion from the International Court of Justice in respect of the dispute, whether or not State A agrees to it" ], [ "C", "The Security Council may impose a binding obligation on any State to submit to the jurisdiction of the International Court of Justice without the consent of that State" ], [ "D", "Purchases by the United Nations are automatically deemed to be the same obligations of all Member States" ], [ "E", "As a political international organization, the above-mentioned purchase by the United Nations organization shall be invalid ab initio" ], [ "F", "The General Assembly of the United Nations shall have the right to institute proceedings against State A before the International Court of Justice in respect of the dispute, with or without the consent of State A" ], [ "G", "The Secretary-General of the United Nations may bring proceedings concerning disputes directly before the International Court of Justice without the authorization of any body" ], [ "H", "The judgment of the International Court of Justice shall be binding on either party to the dispute without prior confirmation of its jurisdiction" ], [ "I", "As an international organization, all acts of the United Nations are not subject to the laws of any State" ], [ "J", "All decisions of the United Nations shall be considered legally binding without procedural review" ] ]
A
The above-mentioned acts on behalf of the United Nations shall be considered to be common to all States Members of the United Nations
Law
Law
International Law
middle
3d17be807c2b4d3d88fc0b63af97423a
supergpqa
A pulley in the form of a uniform disc of mass $2\ m$ and radius $r$ free to rotate in a vertical plane about a fixed horizontal axis through its centre. A light inextensible string has one end fastened to a point on the rim of the pulley and is wrapped several times round the rim. The portion of string not wrapped round the pulley id of length $8r$ and carries a particle of mass $m$ at its free end. The particle is held close to the rim of the pulley and level with its centre. If the particle is released from this position, then initial angular velocity of the pulley is $\omega$ and the impulse of the sudden tension in the string when it becomes taut is $J$, then
C) $$J=2m\sqrt{gr}$$
[ [ "A", "$$J=m\\sqrt{gr}$$" ], [ "B", "$$J=4m\\sqrt{gr}$$" ], [ "C", "$$J=2m\\sqrt{gr}$$" ], [ "D", "$$\\omega=2\\sqrt {\\dfrac {2g}{r}}$$" ], [ "E", "$$J=2m\\sqrt{2gr}$$" ], [ "F", "$$J=m\\sqrt{2gr}$$" ], [ "G", "$$J=5m\\sqrt{gr}$$" ], [ "H", "$$J=3m\\sqrt{gr}$$" ], [ "I", "$$J=6m\\sqrt{gr}$$" ] ]
C
$$J=2m\sqrt{gr}$$
Science
Physics
Thermodynamics and Statistical Physics
hard
861c3c5c372b454e9017b5b381147b35
supergpqa
At what temperature, hydrogen molecules will escape from the earth's surface? (TAke mass of hydrogen molecule $=0.34\times{10}^{-6}kg$, Boltzmann constant $=1.38\times{10}^{-23}K{J}^{-1}$, Radius of earth $=6.4\times{10}^{6}m$ and acceleration due to gravity $=9.8m{s}^{-2}$)
I) $$10K$$
[ [ "A", "1000K" ], [ "B", "$${10}^{4}K$$" ], [ "C", "$${10}^{2}K$$" ], [ "D", "10000K" ], [ "E", "20K" ], [ "F", "50K" ], [ "G", "100K" ], [ "H", "500K" ], [ "I", "$$10K$$" ] ]
I
$$10K$$
Science
Physics
Thermodynamics and Statistical Physics
hard
8d9d51a154e74af0a8b79175b28a0686
supergpqa
Determine the period of oscillation of mercury of mass m = 200g poured into a bent tube whose right arm forms an angle $\theta$ = 30 with the vertical. The cross-sectional area of the tube S = 0.50 $cm^{2}$. The viscosity of mercury is to be neglected.
C) 0.8 sec
[ [ "A", "1.0 sec" ], [ "B", "0.7 sec" ], [ "C", "0.8 sec" ], [ "D", "0.5 sec" ], [ "E", "0.4 sec" ], [ "F", "0.6 sec" ], [ "G", "0.9 sec" ], [ "H", "0.3 sec" ], [ "I", "0.1 sec" ], [ "J", "1.1 sec" ] ]
C
0.8 sec
Science
Physics
Fluid Physics
middle
adef1e93011a443db055ca121fea7275
supergpqa
Let $P_n(x)=1+x+x^2+\cdots+x^n$ and $Q_n(x)=P_1\cdot P_2\cdots P_n$ for all integers $n\ge 1$ . How many more distinct complex roots does $Q_{1004}$ have than $Q_{1003}$ ?
C) 528
[ [ "A", "526" ], [ "B", "530" ], [ "C", "528" ], [ "D", "531" ], [ "E", "524" ], [ "F", "527" ], [ "G", "529" ], [ "H", "522" ], [ "I", "523" ], [ "J", "525" ] ]
C
528
Science
Mathematics
Polynomials and Series Expansions
middle
ea055ea17db442bebdaafe59c0c6f3dd
supergpqa
A transverse wave propagating on the string can be described by the equation y = 2 sin (10x + 300t), where x and y are in metres and t in second. If the vibrating string has linear density of 0.6 x $10^{-3}$ g/cm, then the tension in the string is
C) $$5.4 \times 10^{-2} \, \text{N}$$
[ [ "A", "0.54 N" ], [ "B", "$$54 \\times 10^{-3} \\, \\text{N}$$" ], [ "C", "$$5.4 \\times 10^{-2} \\, \\text{N}$$" ], [ "D", "540 N" ], [ "E", "0.054 N" ], [ "F", "54 N" ], [ "G", "$$54 \\times 10^{-2} \\, \\text{N}$$" ], [ "H", "0.0054 N" ], [ "I", "$$0.54 \\times 10^{-2} \\, \\text{N}$$" ] ]
C
$$5.4 \times 10^{-2} \, \text{N}$$
Science
Physics
Acoustics
hard
bf67d274c35c4933bbd60fe73c107a30
supergpqa
$10\ lt$. box contains $O_{3}$ and $O_{2}$ at equilibrium at $2000\ K$. The $\triangle G^{\circ} = -534.52\ kJ$ at $8$ atm equilibrium pressure. The following equilibrium is present in the container$2O_{3}(g)\rightleftharpoons 3O_{2}(g)$. The partial pressure of $O_{3}$ will be : $(ln\ 10 = 2.3, R = 8.3\ Jmol^{-1} K^{-1})$.
J) $$8\times 10^{-6}$$
[ [ "A", "$$6.48 \\times 10^{-6}$$" ], [ "B", "$$7.56 \\times 10^{-6}$$" ], [ "C", "$$9.71\\times 10^{-2}$$" ], [ "D", "$$22.62\\times 10^{-7}$$" ], [ "E", "$$2.43 \\times 10^{-6}$$" ], [ "F", "$$7.21 \\times 10^{-6}$$" ], [ "G", "$$9.71\\times 10^{-6}$$" ], [ "H", "$$3.71 \\times 10^{-6}$$" ], [ "I", "$$4.87 \\times 10^{-6}$$" ], [ "J", "$$8\\times 10^{-6}$$" ] ]
J
$$8\times 10^{-6}$$
Science
Chemistry
Physical Chemistry
hard
2e1d297065d247068eaa68f6585f9764
supergpqa
Which one the following has largest number of isomers? (R = alkyl group, en = ethylenediamine)
C) $$\left[ Ru(N{ H }_{ 3 }{ ) }_{ 4 }{ Cl }_{ 2 } \right] ^{ + }$$
[ [ "A", "$$\\left[ Co(NH_{ 3 }{ ) }_{ 5 }Cl \\right] ^{ 2+ }$$" ], [ "B", "$$\\left[ Co(en{ ) }_{ 2 }{ Cl }_{ 2 } \\right] ^{ + }$$" ], [ "C", "$$\\left[ Ru(N{ H }_{ 3 }{ ) }_{ 4 }{ Cl }_{ 2 } \\right] ^{ + }$$" ], [ "D", "$$\\left[ Ru(N{ H }_{ 3 }{ ) }_{ 3 }{ Cl }_{ 3 } \\right] ^{ + }$$" ], [ "E", "$$\\left[ Ru(NH_{ 3 }{ ) }_{ 3 }{ Cl }_{ 3 } \\right] ^{ 2+ }$$" ], [ "F", "$$\\left[ Ru(N{ H }_{ 3 }{ ) }_{ 4 }{ Cl }_{ 2 } \\right] ^{ - }$$" ], [ "G", "$$\\left[ Ru(NH_{ 3 }{ ) }_{ 3 }{ Cl }_{ 3 } \\right] ^{ + }$$" ], [ "H", "$$\\left[ Co(NH_{ 3 }{ ) }_{ 4 }{ Cl }_{ 2 } \\right] ^{ + }$$" ], [ "I", "$$\\left[ Ir({ PR }_{ 3 }{ ) }_{ 2 }H(CO) \\right] ^{ 2+ }$$" ] ]
C
$$\left[ Ru(N{ H }_{ 3 }{ ) }_{ 4 }{ Cl }_{ 2 } \right] ^{ + }$$
Science
Chemistry
Inorganic Chemistry
hard
bcea769ec0e64dc29004b8e135de15af
supergpqa
The non-electrostatic force that produces motional electromotive force is ___ , and the non-electrostatic force that induces electromotive force is ___.
H) Lorentz force, electromotive force
[ [ "A", "Thermal pressure, magnetic resistance" ], [ "B", "Centripetal force, electric charge" ], [ "C", "Magnetic force, induced current" ], [ "D", "Frictional force, electric potential" ], [ "E", "Electric field, electrical resistance" ], [ "F", "Gravitational pull, magnetic flux" ], [ "G", "Magnetic field, electric current" ], [ "H", "Lorentz force, electromotive force" ], [ "I", "Normal force, magnetic field" ], [ "J", "Kinetic force, electric current" ] ]
H
Lorentz force, electromotive force
Engineering
Electronic Science and Technology
Electromagnetic Field and Microwave Technology
middle
a70988fb4a6c411db1036baaee92841b
supergpqa
Which of the following algal life cycles exhibits a heteromorphic alternation of generations dominated by the sporophyte phase?
I) Kelp
[ [ "A", "Chara" ], [ "B", "Fucus" ], [ "C", "Polysiphonia" ], [ "D", "Water and Clouds" ], [ "E", "Ulva" ], [ "F", "Chlamydomonas" ], [ "G", "Spirogyra" ], [ "H", "Volvox" ], [ "I", "Kelp" ], [ "J", "Laminaria" ] ]
I
Kelp
Science
Oceanography
Marine Biology
middle
ce27f7d532334cb4a2384d8c11c12532
supergpqa
A point moves along a straight line $x$, with its acceleration changing according to the following rule: $a = ct - k^{2}x$, where $x$ is the coordinate of the point, and $c$ and $k$ are constants. When $t=0$, $x=\dot{x}=0$. Determine the law of motion of the point.
J) $x=\frac{c}{k^{3}}( kt-\sin kt )$
[ [ "A", "$x=\\frac{k}{c^{3}}( ct-\\sin kt )$" ], [ "B", "$x=\\frac{c}{k^{2}}( kt-\\sin ct )$" ], [ "C", "$x=\\frac{c}{k^{2}}( t-\\cos kt )$" ], [ "D", "$x=\\frac{c}{k^{3}}( \\sin kt+kt )$" ], [ "E", "$x=\\frac{k}{c^{3}}( kt-\\sin ct )$" ], [ "F", "$x=\\frac{k}{c^{2}}( \\sin kt-ct )$" ], [ "G", "$x=\\frac{c}{k^{3}}( kt+\\sin kt )$" ], [ "H", "$x=\\frac{c}{k^{2}}( \\sin ct-kt )$" ], [ "I", "$x=\\frac{c}{k^{3}}( \\cos kt-kt )$" ], [ "J", "$x=\\frac{c}{k^{3}}( kt-\\sin kt )$" ] ]
J
$x=\frac{c}{k^{3}}( kt-\sin kt )$
Engineering
Mechanics
Fundamentals of Dynamics and Control
middle
445c1798b92c4664b77138dc2589cefc
supergpqa
$C$ is on a semicircle with diameter $AB$ and center $O.$ Circle radius $r_1$ is tangent to $OA,OC,$ and arc $AC,$ and circle radius $r_2$ is tangent to $OB,OC,$ and arc $BC$ . It is known that $\tan AOC=\frac{24}{7}$ . The ratio $\frac{r_2} {r_1}$ can be expressed $\frac{m} {n},$ where $m,n$ are relatively prime positive integers. Find $m+n.$
C) 59
[ [ "A", "63" ], [ "B", "61" ], [ "C", "59" ], [ "D", "67" ], [ "E", "65" ] ]
C
59
Science
Mathematics
Geometry and Topology
hard
792931e0b74940f798d10ed50eb050dc
supergpqa
$K_{sp} (AgCl) = 2 \times 10^{-10}, \, K_{sp} (AgCNS) = 2.5 \times 10^{-11}$. When water is saturated with both solids, then :
F) Solubility of $AgCl $ is $1.5 \times 10^{-5}$
[ [ "A", "None of these" ], [ "B", "Solubility of $AgCl $ is $1.7 \\times 10^{-5}$" ], [ "C", "Solubility of $AgCNS$ is $1.67 \\times 10^{-5}M$" ], [ "D", "Solubility of $AgCl $ is $1.3 \\times 10^{-5}$" ], [ "E", "Solubility of $AgCl $ is $1.6 \\times 10^{-5}$" ], [ "F", "Solubility of $AgCl $ is $1.5 \\times 10^{-5}$" ], [ "G", "Solubility of $AgCl$ is $1.42 \\times 10^{-5}$" ], [ "H", "Silver ion conc. = $15 \\times 10^{-6} M$" ], [ "I", "Solubility of $AgCl$ is $1.4 \\times 10^{-5}$" ], [ "J", "Solubility of $AgCl$ is $1.45 \\times 10^{-5}$" ] ]
F
Solubility of $AgCl $ is $1.5 \times 10^{-5}$
Science
Chemistry
Analytical Chemistry
middle
b5ff74c78d48466c977dbf4e70c3c5a2
supergpqa
What are the expected teaching outcomes and standards in physical education teaching that are to be achieved by the teacher and students within a certain time frame and scope?
J) Physical Education Teaching Objectives
[ [ "A", "Education Sports Development Objectives" ], [ "B", "Physical Education Teaching Design" ], [ "C", "Sports Education Program Goals" ], [ "D", "Physical Education Teaching Techniques" ], [ "E", "Sports Teaching Methodology" ], [ "F", "Physical Education Teaching Evaluation" ], [ "G", "Physical Activity Teaching Expectations" ], [ "H", "Sports Teaching Environment" ], [ "I", "Physical Education Instruction Standards" ], [ "J", "Physical Education Teaching Objectives" ] ]
J
Physical Education Teaching Objectives
Education
Physical Education
Sports Humanities and Sociology
easy
6ba2d2825e204033a69a8b85b15f7567
supergpqa
A non-conducting sphere has a total charge Q uniformly distributed throughout its volume. the centre of the sphere is at origin and its radius is R. let $ U_1 $be the electrostatic potential energy in the region inside the sphere and $ U_2 $ be the electrostatic potential energy in another imaginary spherical shell, having inner radius R and outer radius infinity, centred at origin. select the correct alternative(s)
D) $$ U_1 = \dfrac {Q^2}{8 \pi\varepsilon_0 R} $$
[ [ "A", "$$ U_1 = \\dfrac {3Q^2}{20 \\pi\\varepsilon_0 R } $$" ], [ "B", "$$ U_2 = \\dfrac {Q^2}{8 \\pi\\varepsilon_0 R} $$" ], [ "C", "$$U_1 = \\dfrac {3Q^2}{16 \\pi \\varepsilon_0 R}$$" ], [ "D", "$$ U_1 = \\dfrac {Q^2}{8 \\pi\\varepsilon_0 R} $$" ], [ "E", "$$ U_1 + U_2 = \\dfrac {3}{5} \\times \\dfrac {Q^2}{4 \\pi\\varepsilon_0 R} $$" ], [ "F", "$$U_1 = \\dfrac {Q^2}{12 \\pi \\varepsilon_0 R}$$" ], [ "G", "$$U_1 = \\dfrac {Q^2}{6 \\pi\\varepsilon_0 R}$$" ], [ "H", "$$U_1 = \\dfrac {Q^2}{10 \\pi\\varepsilon_0 R}$$" ], [ "I", "$$U_1 = \\dfrac {2Q^2}{15 \\pi\\varepsilon_0 R}$$" ] ]
D
$$ U_1 = \dfrac {Q^2}{8 \pi\varepsilon_0 R} $$
Science
Physics
Electrodynamics
hard
ac6d1aae0313488a9ec779b17a722304
supergpqa
What is the purpose of using pre-coding on the input sequence in some responsive technologies?
J) Enhancing Effectiveness
[ [ "A", "Stabilizing dynamic range output" ], [ "B", "Reduction of frequency interference" ], [ "C", "Improving system latency" ], [ "D", "Preventing the Spread of Errors" ], [ "E", "Balancing the signal-to-noise ratio" ], [ "F", "Amplification of targeted signals" ], [ "G", "Increasing spectral efficiency" ], [ "H", "Eliminate phase ambiguity" ], [ "I", "Attenuation of the trailing amplitude in accelerated impulse response" ], [ "J", "Enhancing Effectiveness" ] ]
J
Enhancing Effectiveness
Engineering
Information and Communication Engineering
Signal and Information Processing
easy
30defbe4286c4d6591c662b466195b50
supergpqa
A 12-year-old girl is brought to your psychiatry office by her parents, who are concerned that she has not made any friends since starting middle school last year. The girl tells you that she gets nervous around other children, as she cannot tell what they are feeling, when they are joking, or what she has in common with them. Her teachers describe her as "easily distracted" and "easily upset by change." When asked about her hobbies and interests, she states that "marine biology" is her only interest and gives you a 15-minute unsolicited explanation of how to identify different penguin species. Mental status exam is notable for intense eye contact, flat affect, and concrete thought process. Which of the following is true regarding this child's disorder?
A) Boys are more commonly affected than girls
[ [ "A", "Boys are more commonly affected than girls" ], [ "B", "Girls are more commonly affected than boys" ], [ "C", "Typical age of onset is 3-5 years of age" ], [ "D", "Impaired attention is a key feature of the disorder" ], [ "E", "It is usually associated with a family history of schizophrenia" ], [ "F", "Intellectual disability is a key feature of the disorder" ], [ "G", "Girls are equally affected as boys" ], [ "H", "Boys and girls are equally affected" ] ]
A
Boys are more commonly affected than girls
Medicine
Clinical Medicine
Psychiatry and Mental Health
middle
1df5b164a69d4f11b8ea7e72b636ba5b
supergpqa
In ultra-low oxygen storage, the concentration of oxygen is below_____.
A) 1.5%
[ [ "A", "1.5%" ], [ "B", "4%" ], [ "C", "0.75%" ], [ "D", "2.7%" ], [ "E", "2.5%" ], [ "F", "2.2%" ], [ "G", "3.5%" ], [ "H", "0.5%" ], [ "I", "1%" ], [ "J", "2%" ] ]
A
1.5%
Engineering
Food Science and Engineering
Food Processing and Storage Engineering
easy
b34d27ef8fb64cb289a8de649671d430
supergpqa
Three particles each of mass m are located at vertices of an equilateral triangle ABC. They starts moving with equal speed v each along the medians of the triangle and collide at its centroid G. If, after collision, A comes to rest and B retraces its path along GB, then C
H) moves with a speed v along BG.
[ [ "A", "moves with a speed v/3 along CG." ], [ "B", "moves with a speed v along AG." ], [ "C", "moves with a speed 2v along CG." ], [ "D", "moves with a speed 3v/4 along CG." ], [ "E", "moves with a speed v along CG." ], [ "F", "moves with a speed v/2 along CG." ], [ "G", "moves with a speed 3v/2 along CG." ], [ "H", "moves with a speed v along BG." ], [ "I", "moves with a speed v/2 along BG." ], [ "J", "also comes to rest." ] ]
H
moves with a speed v along BG.
Science
Physics
Particle and Nuclear Physics
middle
c2a8e5cb746c4e91ad2b1ca84c8a3231
supergpqa
We now define an algorithm: The definition of a(n) is the n-th prime number p such that q - p = 36, where q is the next prime after p. Given the input x_list (a series of values): [25, 26, 27, 28, 29, 30, 31, 32, 33, 34], determine the corresponding output sequence y_list.
B) [62423, 65993, 66301, 68171, 69073, 69557, 71597, 72577, 72823, 73783]
[ [ "A", "[62437, 65983, 66313, 68159, 69061, 69569, 71585, 72587, 72835, 73773]" ], [ "B", "[62423, 65993, 66301, 68171, 69073, 69557, 71597, 72577, 72823, 73783]" ], [ "C", "[62425, 65991, 66303, 68169, 69071, 69559, 71595, 72575, 72821, 73785]" ], [ "D", "[62431, 65999, 66307, 68165, 69067, 69563, 71591, 72581, 72829, 73779]" ], [ "E", "[62427, 65989, 66305, 68167, 69069, 69561, 71593, 72573, 72819, 73787]" ], [ "F", "[62439, 65981, 66315, 68157, 69059, 69571, 71583, 72589, 72837, 73771]" ], [ "G", "[62421, 65995, 66299, 68173, 69075, 69555, 71599, 72579, 72825, 73781]" ], [ "H", "[62435, 65985, 66311, 68161, 69063, 69567, 71587, 72585, 72833, 73775]" ], [ "I", "[62433, 65987, 66309, 68163, 69065, 69565, 71589, 72583, 72831, 73777]" ], [ "J", "[62429, 65997, 66297, 68175, 69077, 69553, 71601, 72571, 72817, 73789]" ] ]
B
[62423, 65993, 66301, 68171, 69073, 69557, 71597, 72577, 72823, 73783]
Science
Mathematics
Discrete Mathematics
hard
f3039294af3f465a93684fdac2f406be
supergpqa
Let $f : N \to N$ be a function such that $$$f(n) = \sum_{\substack{abc=n, a,b,c\in N}}ab + bc + ca$$$ For example, $f(5) = (1 \cdot 1 + 1 \cdot 5 + 5 \cdot 1) + (1\cdot 5 + 5 \cdot 1 + 1 \cdot 1) + (5 \cdot 1 + 1 \cdot 1 + 1 \cdot 5) = 33$ , where we are summing over the triples $(a, b,c) = (1,1, 5)$ , $(1,5,1)$ , and $(5,1,1)$ . Find the last three digits of $f(303)$ .
J) 164
[ [ "A", "161" ], [ "B", "165" ], [ "C", "167" ], [ "D", "168" ], [ "E", "169" ], [ "F", "163" ], [ "G", "166" ], [ "H", "160" ], [ "I", "162" ], [ "J", "164" ] ]
J
164
Science
Mathematics
Number Theory
hard
f5b5bddc389f45b885ea86703b2cadd2
supergpqa
Determine (a) the specific speed of a pump that is to deliver 2,000gpmagainst a head of 150 ft with arotativespeed of 600 rpm.(b) If therotativespeed were doubled, what would bethe flow rate and the head developed by the pump? Assume no change in efficiency. (c) The specific speed for theconditions given in (b). And (d) find the required operatingspeed of a two-stage pump to satisfy the requirementsin (a).
C) (a) 625, (b) 4000gpm and 600ft, (c) 625, (d) 365 rpm
[ [ "A", "(a) 590, (b) 2800gpm and 420ft, (c) 590, (d) 410 rpm" ], [ "B", "(a) 640, (b) 3800gpm and 570ft, (c) 640, (d) 355 rpm" ], [ "C", "(a) 625, (b) 4000gpm and 600ft, (c) 625, (d) 365 rpm" ], [ "D", "(a) 675, (b) 5000gpm and 750ft, (c) 675, (d) 330 rpm" ], [ "E", "(a) 625, (b) 3500gpm and 550ft, (c) 650, (d) 375 rpm" ], [ "F", "(a) 610, (b) 3200gpm and 480ft, (c) 610, (d) 390 rpm" ], [ "G", "(a) 650, (b) 4500gpm and 650ft, (c) 650, (d) 350 rpm" ], [ "H", "(a) 600, (b) 3000gpm and 450ft, (c) 600, (d) 400 rpm" ], [ "I", "(a) 650, (b) 4200gpm and 630ft, (c) 650, (d) 340 rpm" ], [ "J", "(a) 630, (b) 4600gpm and 690ft, (c) 630, (d) 345 rpm" ] ]
C
(a) 625, (b) 4000gpm and 600ft, (c) 625, (d) 365 rpm
Engineering
Power Engineering and Engineering Thermophysics
Engineering Fluid Mechanics
middle
7e904b02aaf74201955adfd4c6b1bfa5
supergpqa
Which of the following is not a fundamental aspect fo Disaster management?
G) Disaster awakening
[ [ "A", "Disaster resilience" ], [ "B", "Disaster recovery" ], [ "C", "Disaster awareness" ], [ "D", "Disaster vigilance" ], [ "E", "Disaster response" ], [ "F", "Disaster preparedness" ], [ "G", "Disaster awakening" ], [ "H", "Disaster alertness" ], [ "I", "Disaster prevention" ], [ "J", "Disaster mitigation" ] ]
G
Disaster awakening
Management
Public Administration
Social Medicine and Health Management
easy
1384ea2ffd454b93a494753b5a8c351b
supergpqa
The following descriptions of representatives and their works in Russian socialist realist literature are correct: I. Fedin's (Константин Федин) trilogy Early Joys (Первые радости), No Ordinary Summer (Необыкновенное лето), and The Bonfire (Костер) represents the pinnacle of his creative achievements. II. The novel The City in the Steppe (Город в степи) is Serafimovich's (Александр Серафимович) most important and representative work created before the October Revolution, which garnered widespread attention at the time. III. Serafimovich's most significant socialist masterpiece is The Iron Flood (Железный поток), which deals with the theme of the Civil War. Its protagonist is Guo Ruhe. IV. Gorky's (Максим Горький) real name is Alexei Maximovich Peshkov (Алексей Максимович Пешков). He is considered "the most outstanding representative of proletarian art" and the founder of Russian socialist realist literature. V. In The Song of the Falcon (Песня о Соколе), the author uses fairy tales and personification to create two opposing artistic images: the falcon and the snake. VI. Gorky's first published work is Makar Chudra (Макар Чудра), which, through the themes of freedom and love, praises people's virtues of cherishing freedom, inspiring them to resist enslavement and oppression and to strive for the courage to be free.
F) I and II and III and IV and V and VI
[ [ "A", "I and II and III" ], [ "B", "I and II and III and IV and VI" ], [ "C", "II and III and IV and V" ], [ "D", "I and II and III and V" ], [ "E", "I and II and IV and VI" ], [ "F", "I and II and III and IV and V and VI" ], [ "G", "I and II and VI" ], [ "H", "V and VI" ], [ "I", "III and V and VI" ], [ "J", "Only IV" ] ]
F
I and II and III and IV and V and VI
Literature and Arts
Language and Literature
Russian Language and Literature
middle
a0cca4177c6a46fbb60af95e80d7c282
supergpqa
What is the typical protein content in normal urine when a urine protein qualitative test is negative?
B) 0.04~0.1g/L
[ [ "A", "0.15~0.25g" ], [ "B", "0.04~0.1g/L" ], [ "C", "0.3~0.7g/L" ], [ "D", "0.2~0.5g/L" ], [ "E", "0.5~1.0g/L" ], [ "F", "0.05~0.11g/L" ], [ "G", "0.01~0.02g/L" ], [ "H", "0.75~1.5g/L" ], [ "I", "0.0~0.03g/L" ], [ "J", "1.0~2.0g" ] ]
B
0.04~0.1g/L
Medicine
Clinical Medicine
Clinical Laboratory Diagnostics
easy
3fda8c6f385545c99c9102e9697e6935
supergpqa
The common reflection point gather records, subtracting the normal time difference from the propagation time of each reflected wave, this is called ().
G) Dynamic correction
[ [ "A", "Spatial correction" ], [ "B", "Kinematic correction" ], [ "C", "Static adjustment" ], [ "D", "Phase correction" ], [ "E", "Kinematic adjustment" ], [ "F", "Dynamic adjustment" ], [ "G", "Dynamic correction" ], [ "H", "Static correction" ], [ "I", "Temporal adjustment" ], [ "J", "Temporal correction" ] ]
G
Dynamic correction
Science
Geology
Principles of Seismic Exploration
middle
3ce093b4a712499690106b7079ca7d78
supergpqa
Find the area of the figure enclosed between the curves $y = 4 \cdot x^2$, $y = \frac{ x^2 }{ 3 }$, and $y = 2$.
H) \frac{\left(8\cdot\sqrt{3}-4\right)\cdot\sqrt{2}}{3}
[ [ "A", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{7}}{3}" ], [ "B", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{1}}{3}" ], [ "C", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{8}}{3}" ], [ "D", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{4}}{3}" ], [ "E", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{6}}{3}" ], [ "F", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{9}}{3}" ], [ "G", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{3}}{3}" ], [ "H", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{2}}{3}" ], [ "I", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{5}}{3}" ], [ "J", "\\frac{\\left(8\\cdot\\sqrt{3}-4\\right)\\cdot\\sqrt{10}}{3}" ] ]
H
\frac{\left(8\cdot\sqrt{3}-4\right)\cdot\sqrt{2}}{3}
Science
Mathematics
Mathematical Analysis
hard
0d4799f3b6d44200879b69438e35a647
supergpqa
If SR = 100 torr and PR = 350 torr, then which of the following cannot be a mole fraction of A in vapour phase and a mole fraction of A in liquid phase respectively?
A) $\dfrac{2}{9}$ and $\dfrac{7}{10} $
[ [ "A", "$\\dfrac{2}{9}$ and $\\dfrac{7}{10} $" ], [ "B", "$\\dfrac{3}{10}$ and $\\dfrac{2}{9} $" ], [ "C", "$\\dfrac{2}{9}$ and $\\dfrac{5}{10}$" ], [ "D", "$\\dfrac{2}{9}$ and $\\dfrac{3}{10} $" ], [ "E", "$\\dfrac{2}{9}$ and $\\dfrac{6}{10}$" ], [ "F", "\\dfrac{2}{9} and \\dfrac{9}{10}" ], [ "G", "\\dfrac{3}{10} and \\dfrac{2}{7}" ], [ "H", "$\\dfrac{2}{9}$ and $\\dfrac{8}{10}$" ], [ "I", "\\dfrac{2}{9} and \\dfrac{4}{10}" ], [ "J", "$\\dfrac{7}{9}$ and $\\dfrac{3}{10} $" ] ]
A
$\dfrac{2}{9}$ and $\dfrac{7}{10} $
Engineering
Chemical Engineering and Technology
Mass Transport and Separation Process in Chemical Engineering
middle
b6c0a35384b14471b3abea8967e888ed
supergpqa
When the transaction is based on the seller's samples, the seller usually backs up some samples as a basis for quality assessment in order to prevent any objections to quality in the future. These samples are called ( ).
D) Retained Duplicate Sample
[ [ "A", "Benchmark samples" ], [ "B", "Standard samples" ], [ "C", "Control samples" ], [ "D", "Retained Duplicate Sample" ], [ "E", "Equivalent samples" ], [ "F", "Replica samples" ], [ "G", "Returned Sample" ], [ "H", "Reference samples" ], [ "I", "Reserve samples" ], [ "J", "Test samples" ] ]
D
Retained Duplicate Sample
Economics
Applied Economics
International Trade
easy
0671518b930b49c68a9f2418560d7e4b
supergpqa
Which of the following structures are associated with Bell's palsy?
H) Seventh cranial nerve
[ [ "A", "Eight cranial nerve" ], [ "B", "Temporomandibular joint" ], [ "C", "Sixth cranial nerve" ], [ "D", "Facial nerve" ], [ "E", "Glossopharyngeal nerve" ], [ "F", "Fifth cranial nerve" ], [ "G", "Submandibular gland" ], [ "H", "Seventh cranial nerve" ], [ "I", "Trigeminal nerve" ], [ "J", "Ninth cranial nerve" ] ]
H
Seventh cranial nerve
Medicine
Clinical Medicine
Neurology
middle
cfa24c4236e6497d97dfa39c9e979c0e
supergpqa
For a strontium salt solution labeled with Sr$^{89}$, the specific radioactivity is 2 mCi/ml. If 0.2 ml of the solution is used to prepare a sample and the counting efficiency is 0.1, how many times must the original solution be diluted to achieve a radioactivity of 1000 counts per minute in a beta counting tube?
C) 89 times
[ [ "A", "90 times" ], [ "B", "85 times" ], [ "C", "89 times" ], [ "D", "79 times" ], [ "E", "88 times" ], [ "F", "84 times" ], [ "G", "92 times" ], [ "H", "91 times" ], [ "I", "82 times" ], [ "J", "95 times" ] ]
C
89 times
Science
Chemistry
Radiochemistry
middle
e99f1525c7524fccb88cdb44d26b311b
supergpqa
Per capita allowance of water per day is recommended at:
F) 150-200 lit
[ [ "A", "80-120 lit" ], [ "B", "150-210 lit" ], [ "C", "70-80 lit" ], [ "D", "150-190 lit" ], [ "E", "160-210 lit" ], [ "F", "150-200 lit" ], [ "G", "120-150 lit" ], [ "H", "130-170 lit" ], [ "I", "150-220 lit" ], [ "J", "140-180 lit" ] ]
F
150-200 lit
Engineering
Environmental Science and Engineering
Environmental and Resource Protection
easy
40d92b1ef9484ac5bb8c1ddbfa39db95
supergpqa
Human capital content becomes a measure of the quality level of human resources ().
B) Intrinsic determinants
[ [ "A", "Talent acquisition" ], [ "B", "Intrinsic determinants" ], [ "C", "Core competencies" ], [ "D", "Performance benchmarks" ], [ "E", "Capability indicators" ], [ "F", "Workforce metrics" ], [ "G", "External influencers" ], [ "H", "Skill sets" ], [ "I", "Extrinsic determinants" ], [ "J", "Important conditions" ] ]
B
Intrinsic determinants
Management
Business Administration
Business and Accounting Management
easy
e57d7ba124b545b2880c2cb235e5173f
supergpqa
When installing a pressure gauge on a pipeline to measure the pressure of high-temperature (above 60°C) fluid media, to prevent direct contact between the hot medium and the elastic element, a ( ) should be installed before the pressure instrument to avoid the impact of temperature changes on measurement accuracy and the elastic element.
B) u-shaped or coiled tube type condenser
[ [ "A", "v-shaped or straight tube type condenser" ], [ "B", "u-shaped or coiled tube type condenser" ], [ "C", "v-shaped or coiled tube type condenser" ], [ "D", "u-shaped or straight tube type condenser" ], [ "E", "looped tube or straight tube type condenser" ], [ "F", "corrugated tube or looped tube type condenser" ], [ "G", "u-shaped or looped tube type condenser" ], [ "H", "corrugated tube or coiled tube type condenser" ], [ "I", "corrugated tube or straight tube type condenser" ], [ "J", "looped tube or coiled tube type cushion" ] ]
B
u-shaped or coiled tube type condenser
Engineering
Instrument Science and Technology
Instrument Science and Technology
middle
2b9c99379cc7412ea49d315b056ba132
supergpqa
Which method is commonly used for imaging blood flow in the brain?
J) Doppler ultrasound
[ [ "A", "Fluorescence microscopy" ], [ "B", "MRI" ], [ "C", "Magnetic resonance angiography" ], [ "D", "Computed tomography scan" ], [ "E", "X-ray" ], [ "F", "Contrast-enhanced imaging" ], [ "G", "PET scan" ], [ "H", "Single-photon emission" ], [ "I", "Electroencephalography technique" ], [ "J", "Doppler ultrasound" ] ]
J
Doppler ultrasound
Medicine
Clinical Medicine
Imaging and Nuclear Medicine
middle
0aac53164c6b41ceb8c7a7161dbec9b8
supergpqa
Currently, the main types of vapor deposition films are aluminum plating and ______.
H) silicon plating
[ [ "A", "copper coating" ], [ "B", "carbon lay-up" ], [ "C", "silver film" ], [ "D", "gold plating" ], [ "E", "titanium plating" ], [ "F", "tungsten cladding" ], [ "G", "bronze coating" ], [ "H", "silicon plating" ], [ "I", "platinum cladding" ], [ "J", "magnesium film" ] ]
H
silicon plating
Engineering
Materials Science and Engineering
Materials Processing Engineering
easy
0134b9df8c5a4bd89f0d9d438a88bbec
supergpqa
Watson believes that the initial caress, scratching, and patting of the child's skin will cause the child to smile, smile, and produce pleasant expressions and behaviors. What are these innate emotions?
I) Love
[ [ "A", "Rage" ], [ "B", "Anxiety" ], [ "C", "fear" ], [ "D", "Happy" ], [ "E", "Contentment" ], [ "F", "Jealousy" ], [ "G", "Surprise" ], [ "H", "Disgust" ], [ "I", "Love" ], [ "J", "Sadness" ] ]
I
Love
Education
Psychology
Psychology
easy
324af210e8ba4366b6cd6acdc8633419
supergpqa
Find the refracting angle of a glass prism (n = 1.52) for which the minimum deviation is 15°.
B) 27° 44' 36"
[ [ "A", "31° 20' 10\"" ], [ "B", "27° 44' 36\"" ], [ "C", "24° 05' 50\"" ], [ "D", "25° 30' 20\"" ], [ "E", "26° 15' 55\"" ], [ "F", "33° 33' 30\"" ], [ "G", "32° 10' 05\"" ], [ "H", "30° 45' 50\"" ], [ "I", "28° 50' 45\"" ], [ "J", "29° 55' 40\"" ] ]
B
27° 44' 36"
Science
Physics
Subatomic and Atomic Physics
hard
4c289966d04647ca8ff38bc188454a32
supergpqa
A rectangular conductor frame with a width of $a$ and a length of $b$ is placed in a magnetic field, where the magnetic flux density is $B = B_0 \sin \omega t \, e_y$. When the conductor frame is stationary, its normal direction $e_n$ forms an angle of $\alpha$ with $e_y$. What is the induced electromotive force when the conductor frame is stationary or rotating around the $x$-axis at an angular velocity of $o$ (assuming that at time $t = 0$, $\alpha = 0$)?
H) $$ - a b B_{0} \omega\operatorname{c o s} 2 \omega t $$
[ [ "A", "$$\n- a b B_{0} \\sin 2 \\omega t\n$$" ], [ "B", "$$\na b B_{0} \\sin \\omega t\n$$" ], [ "C", "$$\na b \\omega B_{0} \\sin \\alpha\n$$" ], [ "D", "$$\na b \\omega B_{0}\\operatorname{c o s} \\omega t\n$$" ], [ "E", "$$\na b B_{0} \\operatorname{c o s} \\omega t\n$$" ], [ "F", "$$\na b B_{0}\\operatorname{c o s} \\alpha\n$$" ], [ "G", "$$\n- a B_{0} \\omega \\sin 2 \\omega t\n$$" ], [ "H", "$$\n- a b B_{0} \\omega\\operatorname{c o s} 2 \\omega t\n$$" ], [ "I", "$$\n- a b \\alpha B_{0}\\operatorname{c o s} \\omega t\n$$" ], [ "J", "$$\n- b B_{0} \\omega\\operatorname{c o s} \\omega t\n$$" ] ]
H
$$ - a b B_{0} \omega\operatorname{c o s} 2 \omega t $$
Engineering
Electrical Engineering
Electrical Theory and New Technologies
hard
b1f48415cbab400baf4c364fde294fe4
supergpqa
Consider the following system of differential equations: $$ \ddot{y} \,+\, 3 \dot{y} \,+\, 2 \, y \,=\, 0, \qquad y ( 0 ) \,=\, 0.1, \qquad \dot{y} ( 0 ) \,=\, 0.05 $$ What is the response $y \left( t \right)$ of the system under the given initial conditions?
D) $$ \mathbf{y}=[ \mathbf{1} \qquad0 ] \left[ \begin{matrix} {{{\mathbf{x}_{1}}}} \\ {{{\mathbf{x}_{2}}}} \\ \end{matrix} \right] $$
[ [ "A", "$$\n\\mathbf{y}=[ \\mathbf{2} \\qquad-1 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{1}}}} \\\\ {{{\\mathbf{x}_{2}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "B", "$$\n\\mathbf{y}=[ \\mathbf{1} \\qquad0 ] \\left[ \\begin{matrix} {{{\\mathbf{0}}}} \\\\ {{{\\mathbf{x}_{2}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "C", "$$\n\\mathbf{y}=[ \\mathbf{1} \\qquad1 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{1}}}} \\\\ {{{\\mathbf{x}_{2}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "D", "$$\n\\mathbf{y}=[ \\mathbf{1} \\qquad0 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{1}}}} \\\\ {{{\\mathbf{x}_{2}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "E", "$$\n\\mathbf{y}=[ \\mathbf{0} \\qquad1 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{1}}}} \\\\ {{{\\mathbf{x}_{2}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "F", "$$\n\\mathbf{y}=[ \\mathbf{1} \\qquad2 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{2}}}} \\\\ {{{\\mathbf{x}_{1}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "G", "$$\n\\mathbf{y}=[ \\mathbf{-1} \\qquad0 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{1}}}} \\\\ {{{\\mathbf{x}_{2}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "H", "$$\n\\mathbf{y}=[ \\mathbf{0} \\qquad1 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{2}}}} \\\\ {{{\\mathbf{x}_{1}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "I", "$$\n\\mathbf{y}=[ \\mathbf{1} \\qquad0 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{1}}}} \\\\ {{{\\mathbf{0}}}} \\\\ \\end{matrix} \\right]\n$$" ], [ "J", "$$\n\\mathbf{y}=[ \\mathbf{1} \\qquad0 ] \\left[ \\begin{matrix} {{{\\mathbf{x}_{2}}}} \\\\ {{{\\mathbf{x}_{1}}}} \\\\ \\end{matrix} \\right]\n$$" ] ]
D
$$ \mathbf{y}=[ \mathbf{1} \qquad0 ] \left[ \begin{matrix} {{{\mathbf{x}_{1}}}} \\ {{{\mathbf{x}_{2}}}} \\ \end{matrix} \right] $$
Engineering
Control Science and Engineering
Control Theory and Control Engineering
middle
65c71010f5a94804a2b3f5e2118682cd
supergpqa
What is the buffer capacity of seawater?
D) The number of equivalents of an acid or base that need to be added to change a buffer solution by one pH unit.
[ [ "A", "The total volume of acids or bases necessary to shift the buffer by one pH level." ], [ "B", "The sum of ions necessary to balance one pH value in seawater." ], [ "C", "The range of pH values that seawater can neutralize without alteration." ], [ "D", "The number of equivalents of an acid or base that need to be added to change a buffer solution by one pH unit." ], [ "E", "The total volume of ions required to offset a pH change by one." ], [ "F", "The amount of dissolved oxygen needed to adjust the seawater pH by one unit." ], [ "G", "The volume of water required to dilute seawater to neutralize one pH unit." ], [ "H", "The total amount of dissolved salts necessary to stabilize the pH level by one unit." ], [ "I", "The quantity of salts that must be accumulated to adjust pH by a single unit." ], [ "J", "The level of dissolved substances necessary to alter the buffer by one pH point." ] ]
D
The number of equivalents of an acid or base that need to be added to change a buffer solution by one pH unit.
Science
Oceanography
Marine Chemistry
easy
a9630b8f8f3b4d1c96a74f67cf97f3af
supergpqa
A light of wavelength $ \lambda$ is incident on a metal sheet of work function $ \phi$ = 2eV. The wavelength $ \lambda$ varies with time as$ \lambda = 3000 + 40t,  $ where   $\lambda$ is in $\mathring{A}$  and t is in second. The power incident on metal  sheet is constant at $100 W$. This signal is switched on and off for time intervals of $2 mins$ and $1 min$ respectively. Each time the signal is switched on, the $ \lambda$ start from initial value of $3000$. The metal plate is grounded and electron clouding is negligible. The efficiency of photo-emission is $1  \%$.  $(hc = 12400 eV)$The total number of photoelectrons ejected in one hour is
F) $$ 3.71 \times 10^{21}$$
[ [ "A", "3.71 \\times 10^{20}" ], [ "B", "3.71 \\times 10^{24}" ], [ "C", "3.71 \\times 10^{25}" ], [ "D", "3.71 \\times 10^{22}" ], [ "E", "$$ 3.71 \\times 10^{23}$$" ], [ "F", "$$ 3.71 \\times 10^{21}$$" ] ]
F
$$ 3.71 \times 10^{21}$$
Science
Physics
Quantum Mechanics
hard
f887931965c642a696b5c7f9f9d75fac
supergpqa
An organic compound, $C_3H_8O$ does not give a precipitate with $2,4$-dinitrophenyl hydrazine reagent and does not react with metallic sodium. It could be:
H) $$CH_2=CH-O-CH_3$$
[ [ "A", "$$CH_3-CH=CH-CH_3$$" ], [ "B", "$$CH_3-CH=CH-OH$$" ], [ "C", "$$CH_3-O-CH_3$$" ], [ "D", "$$CH_2=CH-CH_3$$" ], [ "E", "$$CH_3-CH_2-O-CH_2$$" ], [ "F", "$$CH_3-CH_2-CH_2OH$$" ], [ "G", "$$CH_2=CH-CH_2OH$$" ], [ "H", "$$CH_2=CH-O-CH_3$$" ], [ "I", "$$CH_3-CH_2-CHO$$" ], [ "J", "$$CH_3-CH_2-O-CH_3$$" ] ]
H
$$CH_2=CH-O-CH_3$$
Science
Chemistry
Organic Chemistry
middle
55e40224a5c44e5e8cd6c3b666e67952
supergpqa
The most frequently implicated antibiotic among the causes of drug induced liver injury is:
H) Amoxicillin-clavulanic acid
[ [ "A", "Nalidixic acid" ], [ "B", "Amoxicillin-clavulanate sodium" ], [ "C", "Ciprofloxacin" ], [ "D", "Amoxicillin-clavulanate potassium" ], [ "E", "Amoxicillin-clavulanate" ], [ "F", "Tetracycline" ], [ "G", "Amoxicillin" ], [ "H", "Amoxicillin-clavulanic acid" ], [ "I", "Erythromycin" ] ]
H
Amoxicillin-clavulanic acid
Medicine
Pharmacy
Pharmaceutical Analysis
easy
4155ad6d7f494aefac6a108ec09dc213
supergpqa
If $\oint _{ s }^{  }{ E.dS } =0$ over a surface, then:
F) All charges must necessarily be outside the surface.
[ [ "A", "The number of flux lines entering the surface is greater than the number of flux lines leaving it." ], [ "B", "The electric field inside the surface is constant." ], [ "C", "All charges are uniformly distributed on the surface." ], [ "D", "The number of flux lines entering the surface must equal to the number of flux lines leaving it." ], [ "E", "The number of flux lines entering the surface must necessarily equal the number of flux lines leaving it." ], [ "F", "All charges must necessarily be outside the surface." ], [ "G", "The electric field inside the surface is necessarily uniform." ], [ "H", "The electric field inside the surface is uniform." ], [ "I", "The electric field inside the surface and on it is zero." ], [ "J", "The electric field inside the surface is zero." ] ]
F
All charges must necessarily be outside the surface.
Science
Physics
Electrodynamics
middle
50c45942a3534a5a91991c05ef4b3d15
supergpqa
To avoid the first-pass effect of the liver when using a suppository for systemic action, it should be inserted to a distance of ( ) from the anus.
B) 2 cm
[ [ "A", "1 cm" ], [ "B", "2 cm" ], [ "C", "10 cm" ], [ "D", "7 cm" ], [ "E", "8 cm" ], [ "F", "9 cm" ], [ "G", "4 cm" ], [ "H", "5 cm" ], [ "I", "3 cm" ], [ "J", "6 cm" ] ]
B
2 cm
Medicine
Pharmacy
Pharmaceutics
easy
bad1d8f9b0ce48bfa163112594a343e4
supergpqa
An equilibrium reaction $X+Y \rightleftharpoons W+Z, \triangle H=+ve $ is spontaneous in the forward direction. Then corresponding sign of $\triangle G$ and $\triangle S $ should be respectively:
A) +ve, +ve
[ [ "A", "+ve, +ve" ], [ "B", "+ve, -ve" ], [ "C", "-ve, -ve" ], [ "D", "-ve , +ve" ] ]
A
+ve, +ve
Science
Chemistry
Physical Chemistry
hard
7798266e6fc742a09d37f73bd742358d
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