benchmark_id stringclasses 1
value | question stringlengths 17 2.34k | ground_truth stringlengths 4 504 | choices listlengths 4 10 | answer_key stringclasses 10
values | answer_value stringlengths 1 501 | discipline stringclasses 13
values | field stringclasses 72
values | subfield stringclasses 285
values | difficulty stringclasses 3
values | uuid stringlengths 32 32 |
|---|---|---|---|---|---|---|---|---|---|---|
supergpqa | To get maximum current in resistance of $3\Omega$, one can use $n$ parallel rows of $m$ cells each connected in series. If the total no. of cells is $24$ and the internal resistance is $0.5$ ohm then: | I) $$m=12,n=2$$ | [
[
"A",
"m=12, n=2.5"
],
[
"B",
"$$m=2, n=12$$"
],
[
"C",
"m=10, n=2.4"
],
[
"D",
"$$m=6,n=4$$"
],
[
"E",
"m=12, n=3"
],
[
"F",
"m=4, n=6"
],
[
"G",
"$$m=8, n=3$$"
],
[
"H",
"m=10,n=2.5"
],
[
"I",
"$$m=12,n=2$$"
... | I | $$m=12,n=2$$ | Engineering | Electrical Engineering | Power Electronics and Electrical Drives | middle | 2e18efcb8ef6418fb4c069fab3cfdf31 |
supergpqa | What type of connection is present between the jaw arch and the braincase in mammals? | G) Skull-to-skull connection type | [
[
"A",
"Flexible hinge bond type"
],
[
"B",
"Self-receiving type"
],
[
"C",
"Jointed cartilage design type"
],
[
"D",
"Tongue and groove type"
],
[
"E",
"Bone-hinge alignment type"
],
[
"F",
"Cartilage-arc formation type"
],
[
"G",
"Sku... | G | Skull-to-skull connection type | Medicine | Stomatology | Basic Stomatology | easy | 5836f9abb8b94127b699bc5b8181ec76 |
supergpqa | For long-distance oil and gas pipelines, what is the most important maintenance task? | F) Anticorrosion | [
[
"A",
"Environmental monitoring"
],
[
"B",
"Antifreeze"
],
[
"C",
"Emergency drills"
],
[
"D",
"Endpoint security"
],
[
"E",
"Leak Prevention"
],
[
"F",
"Anticorrosion"
],
[
"G",
"Engine maintenance"
],
[
"H",
"Fire Prevent... | F | Anticorrosion | Engineering | Petroleum and Natural Gas Engineering | Oil and Gas Field Development and Storage & Transportation Engineering | middle | 13fb09b5c8a3444a934c2c8c67cf687f |
supergpqa | Which of the following tissues is often present in growing organs? | G) Collenchyma | [
[
"A",
"Sclerenchyma"
],
[
"B",
"Parenchyma"
],
[
"C",
"Cortex"
],
[
"D",
"Periderm"
],
[
"E",
"Xylem"
],
[
"F",
"Aerenchyma"
],
[
"G",
"Collenchyma"
],
[
"H",
"Endodermis"
],
[
"I",
"Epidermis"
],
[
"J",... | G | Collenchyma | Science | Biology | Botany | middle | 4710c6212ed347c29921f55c091a1070 |
supergpqa | An inductor $20\ mH$, a capacitor $50\ \mu F$ and a resistor $40\ \Omega$ are connected in series across a source of emf $V=10\sin 340t$. The power loss in A.C. circuit is: | G) $$0.51\ W$$ | [
[
"A",
"0.61\\ W"
],
[
"B",
"$$0.67\\ W$$"
],
[
"C",
"0.59\\ W"
],
[
"D",
"$$0.89\\ W$$"
],
[
"E",
"0.58\\ W"
],
[
"F",
"0.54\\ W"
],
[
"G",
"$$0.51\\ W$$"
],
[
"H",
"0.52\\ W"
],
[
"I",
"0.56\\ W"
],
[
"... | G | $$0.51\ W$$ | Engineering | Electrical Engineering | Power Electronics and Electrical Drives | middle | e0d9f59c48f74539b6973c15372c2c67 |
supergpqa | Anhydrous calcium chloride is often used as a dessicant. In the presence of excess of $CaCl_2$, the amount of the water taken up is governed by $K_p = 6.4 \times 10^{85}$ for the following reaction at room temperature, $CaCl_2 (s) + 6H_2O (g)\rightleftharpoons CaCl_2 \cdot 6H_2O (s)$. What is the equilibrium vapour pre... | H) $$P_{H_2O} = 5 \times 10^{-15}atm$$ | [
[
"A",
"$$P_{H_2O} = 3.5 \\times 10^{-15}atm$$"
],
[
"B",
"$$P_{H_2O} = 7.5 \\times 10^{-14}atm$$"
],
[
"C",
"$$P_{H_2O} = 7.5 \\times 10^{-15}atm$$"
],
[
"D",
"$$P_{H_2O} = 10 \\times 10^{17}atm$$"
],
[
"E",
"$$P_{H_2O} = 2.5 \\times 10^{-15}atm$$"
],
[
... | H | $$P_{H_2O} = 5 \times 10^{-15}atm$$ | Science | Chemistry | Physical Chemistry | hard | 4f92ece51ef248b6b4864bb47137a512 |
supergpqa | What is the critical radius of the hotspot for RDX at ignition temperatures of \(300^\circ \text{C}\) and \(500^\circ \text{C}\). Given the parameters for RDX: \(\rho = 1.8 \, \text{g/cm}^3\), \(c = 2.1 \, \text{J/g·K}\), \(Q = 2093 \, \text{J/g}\), \(Z = 10^{18.5} \, \text{s}^{-1}\), \(E = 198.87 \, \text{kJ/mol}\), a... | I) The critical radius is \(r_c = 0.00587 \, \text{cm}\) at \(300^\circ \text{C}\), \(r_c = 0.0106 \, \text{cm}\) at \(500^\circ \text{C}\). | [
[
"A",
"The critical radius is \\(r_c = 0.00600 \\, \\text{cm}\\) at \\(300^\\circ \\text{C}\\), \\(r_c = 0.0110 \\, \\text{cm}\\) at \\(500^\\circ \\text{C}\\)."
],
[
"B",
"The critical radius is \\(r_c = 0.00578 \\, \\text{cm}\\) at \\(300^\\circ \\text{C}\\), \\(r_c = 0.0108 \\, \\text{cm}\\)... | I | The critical radius is \(r_c = 0.00587 \, \text{cm}\) at \(300^\circ \text{C}\), \(r_c = 0.0106 \, \text{cm}\) at \(500^\circ \text{C}\). | Engineering | Weapon Science and Technology | Military Chemistry and Pyrotechnics | hard | 5e67c7fc664b4c219cac55dbea8d8ed7 |
supergpqa | Consider the network described by the following equation:
$$
G(s) = \frac{s + \frac{1}{T_{1}}}{s + \frac{1}{T_{2}}}
$$
What is the steady-state output of this network? | B) $$
y_{\mathrm{s s}} ( t ) \,=\, {\frac{X T_{2} {\sqrt{1 \,+\, T_{1}^{2} \omega^{2}}}} {T_{1} {\sqrt{1 \,+\, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \,+\, \operatorname{a r c t a n} T_{1} \omega\,-\, \operatorname{a r c t a n} T_{2} \omega)
$$ | [
[
"A",
"$$\ny_{\\mathrm{s s}}( t ) \\, = \\, {\\frac{X T_{1} T_{2} } {T_{1} \\, + \\, T_{2}}} \\, \\mathrm{s i n} (\\omega t \\, + \\, \\operatorname{a r c t a n} T_{1} \\omega - \\operatorname{a r c t a n} T_{2} \\omega)\n$$"
],
[
"B",
"$$\ny_{\\mathrm{s s}} ( t ) \\,=\\, {\\frac{X T_{2} {\\sqr... | B | $$
y_{\mathrm{s s}} ( t ) \,=\, {\frac{X T_{2} {\sqrt{1 \,+\, T_{1}^{2} \omega^{2}}}} {T_{1} {\sqrt{1 \,+\, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \,+\, \operatorname{a r c t a n} T_{1} \omega\,-\, \operatorname{a r c t a n} T_{2} \omega)
$$ | Engineering | Control Science and Engineering | Control Theory and Control Engineering | hard | e06aff545c46413cb86a7f960ca4091e |
supergpqa | Which of the following when added to $1.0L$ of$0.5M$ HBr would result in maximum increase in pH:-$\left[ {PKa\left( {C{H_3}COOH} \right) = 4.74} \right]$ | F) $$0.5\,mol\,C{H_3}COOH$$ | [
[
"A",
"$$0.7\\,mol\\,C{H_3}COOH$$"
],
[
"B",
"$$0.45\\,mol\\,C{H_3}COOH$$"
],
[
"C",
"$$0.55\\,mol\\,C{H_3}COONa$$"
],
[
"D",
"$$0.6\\,mol\\,C{H_3}COOH$$"
],
[
"E",
"$$01.0\\,mol\\,NaCl$$"
],
[
"F",
"$$0.5\\,mol\\,C{H_3}COOH$$"
],
[
"G",
... | F | $$0.5\,mol\,C{H_3}COOH$$ | Science | Chemistry | Analytical Chemistry | middle | 07c0cd09e06e42e6a3adf7f2b58611d1 |
supergpqa | Which is the correct statement about the maxillary first premolar? | F) It is the largest of the premolars, with two cusps on the symphysis, and most of the E-roots are divided into buccolingual roots at the mid-root or apical 1/3 of the root. | [
[
"A",
"It is the largest of the incisors, with two cusps on the symphysis, and most of the E-roots are divided into buccal roots at the mid-root or apical 1/4 of the root."
],
[
"B",
"It is the smallest of the premolars, with one cusp on the symphysis, and most of the E-roots are fused into mes... | F | It is the largest of the premolars, with two cusps on the symphysis, and most of the E-roots are divided into buccolingual roots at the mid-root or apical 1/3 of the root. | Medicine | Stomatology | Clinical Stomatology | easy | 795fdc9cfb9b43459ec3d2a01a831f3a |
supergpqa | Y,K,n represent the Young's modulus, bulk modulus and rigidity modulus of a body respectively. If rigidity modulus is twice the bulk modulus, then | J) $$Y=18 K/5$$ | [
[
"A",
"$$Y=9 n/18$$"
],
[
"B",
"$$Y=10 n/18$$"
],
[
"C",
"$$Y=9K/5$$"
],
[
"D",
"$$Y=9 n/5$$"
],
[
"E",
"$$Y=5 n/9$$"
],
[
"F",
"$$Y=5 n/10$$"
],
[
"G",
"$$Y=18 n/9$$"
],
[
"H",
"$$Y=9 n/10$$"
],
[
"I",
"$$Y=5K/... | J | $$Y=18 K/5$$ | Engineering | Mechanics | Solid Mechanics | middle | 8d139f11f2e14ee4aa2ffb2aed1817cf |
supergpqa | Which of the following is the most likely cause of a buzzing sound when a beginner snare drum student plays fast? | B) The student is hammering the drumstick onto the drum. | [
[
"A",
"The student is playing multiple strokes on the drum."
],
[
"B",
"The student is hammering the drumstick onto the drum."
],
[
"C",
"The student is dropping the drumstick onto the drum."
],
[
"D",
"The student is playing single strokes on the drum."
]
] | B | The student is hammering the drumstick onto the drum. | Literature and Arts | Musicology | Instrumentation and Performance | easy | 6f81b6379f3e478295f5aec3f680746b |
supergpqa | We now define an algorithm: The definition of a(n) is: Sums of distinct powers of 5, which are the numbers that can be represented as the sum of unique terms from the sequence 5^0, 5^1, 5^2, and so on. Given the input x_list (a series of values): [40, 41, 42, 43, 44, 45, 46, 47, 48, 49], determine the corresponding out... | J) [3250, 3251, 3255, 3256, 3275, 3276, 3280, 3281, 3750, 3751] | [
[
"A",
"[3200, 3201, 3215, 3216, 3225, 3226, 3230, 3231, 3700, 3701]"
],
[
"B",
"[3500, 3501, 3515, 3516, 3525, 3526, 3530, 3531, 3600, 3601]"
],
[
"C",
"[3350, 3351, 3365, 3366, 3375, 3376, 3380, 3381, 3850, 3851]"
],
[
"D",
"[3600, 3601, 3625, 3626, 3635, 3636, 3640, 36... | J | [3250, 3251, 3255, 3256, 3275, 3276, 3280, 3281, 3750, 3751] | Science | Mathematics | Discrete Mathematics | middle | 522f0177f321449b84bf036ab6c13232 |
supergpqa | A ball of mass $m$ falls vertically from a height $h$ and collides with a block of equal mass $m$ moving horizontally with a velocity $v$ on a surface. The coefficient of kinetic friction between the block and the surface is ${ \mu }_{ k }=0.2$, while the coefficient of resittution ($e$) between the ball and the block... | C) can't be said | [
[
"A",
"$$0$$"
],
[
"B",
"$$0.6\\sqrt{2gh}$$"
],
[
"C",
"can't be said"
],
[
"D",
"$$0.4\\sqrt{2gh}$$"
],
[
"E",
"$$0.7\\sqrt{2gh}$$"
],
[
"F",
"$$0.1\\sqrt{2gh}$$"
],
[
"G",
"$$0.3\\sqrt{2gh}$$"
],
[
"H",
"$$0.5\\sqrt{2gh}$... | C | can't be said | Science | Physics | Thermodynamics | middle | 310c8b15b2214e7cb68e765cdd1cc774 |
supergpqa | In which year did the uprising of the sailors of the Baltic Sea 'Gangut' battleship occur in Russia? | H) 1915 | [
[
"A",
"1912"
],
[
"B",
"1910"
],
[
"C",
"1911"
],
[
"D",
"1914"
],
[
"E",
"1913"
],
[
"F",
"1917"
],
[
"G",
"1916"
],
[
"H",
"1915"
],
[
"I",
"1919"
],
[
"J",
"1918"
]
] | H | 1915 | History | History | World History | easy | 79629d13185344f985a34b2507e9fde7 |
supergpqa | Given that the degree of polymerization of the polyethylene sample is $5 \times 10^{4}$, with a $\mathrm{C-C}$ bond length of 0.154 nm and a bond angle of $109.5^{\circ}$, calculate the mean square end-to-end distance of the polyethylene sample when considered as a freely rotating chain is (). | I) $$
4 743. 2 nm^{2}
$$ | [
[
"A",
"$$\n5 600. 1 nm^{2}\n$$"
],
[
"B",
"$$\n4 600. 7 nm^{2}\n$$"
],
[
"C",
"$$\n6 200. 4 nm^{2}\n$$"
],
[
"D",
"$$\n4 800. 5 nm^{2}\n$$"
],
[
"E",
"$$\n5 000. 2 nm^{2}\n$$"
],
[
"F",
"$$\n4 300. 8 nm^{2}\n$$"
],
[
"G",
"$$\n4 500. 3... | I | $$
4 743. 2 nm^{2}
$$ | Science | Physics | Polymer Physics | middle | 5c34a077e47349a599203f48eac06d6c |
supergpqa | In which year did Rudolf Diesel publish the paper 'Theory and Construction of a Rational Heat Engine to Replace the Steam Engine and Combustion Engines Known Today'? | J) 1893 | [
[
"A",
"1890"
],
[
"B",
"1894"
],
[
"C",
"1896"
],
[
"D",
"1895"
],
[
"E",
"1898"
],
[
"F",
"1891"
],
[
"G",
"1899"
],
[
"H",
"1897"
],
[
"I",
"1892"
],
[
"J",
"1893"
]
] | J | 1893 | Engineering | Power Engineering and Engineering Thermophysics | Internal Combustion Engineering | easy | 0e96c231e886438ea33f85394ba8b9c8 |
supergpqa | In oil and gas pipelines, what might be the reasons for a continuous increase in internal diameter? | A) Pipeline Expansion | [
[
"A",
"Pipeline Expansion"
],
[
"B",
"Sediment Accumulation"
],
[
"C",
"External Pressure Factors"
],
[
"D",
"Temperature Fluctuations"
],
[
"E",
"Equipment Malfunction"
],
[
"F",
"Pipeline Leakage"
],
[
"G",
"Fluid Dynamics Shift"
]... | A | Pipeline Expansion | Engineering | Petroleum and Natural Gas Engineering | Oil and Gas Field Development and Storage & Transportation Engineering | easy | abae7b2873034152aa41c38536a9e52f |
supergpqa | Who is Mo Jiren from the Neapolitan opera school during the Baroque period? | J) Provenzal | [
[
"A",
"Lotti"
],
[
"B",
"Handel"
],
[
"C",
"Pergolesi"
],
[
"D",
"Vivaldi"
],
[
"E",
"Corelli"
],
[
"F",
"Albinoni"
],
[
"G",
"Scarlatti"
],
[
"H",
"Galuppi"
],
[
"I",
"Vinci"
],
[
"J",
"Provenzal"
... | J | Provenzal | Literature and Arts | Musicology | Music History, Education, and Technology | easy | 18356a49b43344ef90d7d35eb4c8e884 |
supergpqa | The gas pressure at the base of the photosphere is approximately $2 \times1 0^{4} \; \mathrm{N} \; /\mathrm{m}^{-2}$ and the mass density is $3. 2 \times1 0^{-4}$ kg /$\mathrm{m}^{-3}$ . Estimate the sound speed at the base of the photosphere is (). | F) $7km/s^{-1}$ | [
[
"A",
"$12km/s^{-1}$"
],
[
"B",
"$6km/s^{-1}$"
],
[
"C",
"$5km/s^{-1}$"
],
[
"D",
"$11km/s^{-1}$"
],
[
"E",
"$4km/s^{-1}$"
],
[
"F",
"$7km/s^{-1}$"
],
[
"G",
"$9km/s^{-1}$"
],
[
"H",
"$8km/s^{-1}$"
],
[
"I",
"$1... | F | $7km/s^{-1}$ | Science | Astronomy | Solar System Science | middle | a39483ffd40f4a9eaa487027190caa7c |
supergpqa | Since what year has the Bader Award for Organic Chemistry been awarded? | E) 1989 | [
[
"A",
"1992"
],
[
"B",
"1985"
],
[
"C",
"1998"
],
[
"D",
"1986"
],
[
"E",
"1989"
],
[
"F",
"1990"
],
[
"G",
"1987"
],
[
"H",
"1999"
],
[
"I",
"1988"
],
[
"J",
"1991"
]
] | E | 1989 | Science | Chemistry | Organic Chemistry | easy | b6e5c44afdf3477ba7cd4aa5842bd535 |
supergpqa | Highways and primary roads should generally ensure _________. | A) Stopping sight distance | [
[
"A",
"Stopping sight distance"
],
[
"B",
"Meeting sight distance"
],
[
"C",
"Yielding sight distance"
],
[
"D",
"Serving sight distance"
],
[
"E",
"Merging sight distance"
],
[
"F",
"Sharing sight distance"
],
[
"G",
"Turning sight di... | A | Stopping sight distance | Engineering | Transportation Engineering | Traffic Information Engineering and Control | easy | 34baa853c4de44b885e166a420bef9e4 |
supergpqa | A $500 \mathrm{kV}$ gas-insulated cable features a phase-separated, enclosed coaxial cylindrical electrode structure, with the outer diameter of the conductive core measuring $89 \mathrm{mm}$ and the inner diameter of the shell being 248mm. The gas pressure at 20°C is 0.4MPa. What is the breakdown voltage of this sligh... | I) $$
3150.6\mathrm{kV},~1 1 4. 7 \%
$$ | [
[
"A",
"$$\n3225.8\\mathrm{kV},~1 2 4. 6 \\%\n$$"
],
[
"B",
"$$\n2875.3\\mathrm{kV},~8 2. 4 \\%\n$$"
],
[
"C",
"$$\n3332.4\\mathrm{kV},~1 3 5. 0 \\%\n$$"
],
[
"D",
"$$\n3062.9\\mathrm{kV},~9 1. 2 \\%\n$$"
],
[
"E",
"$$\n2990.1\\mathrm{kV},~9 8. 1 \\%\n$$"
],... | I | $$
3150.6\mathrm{kV},~1 1 4. 7 \%
$$ | Engineering | Electrical Engineering | High Voltage and Insulation Technology | hard | 2114baa81ce7471ea947a99547f1e3e9 |
supergpqa | The outcomes of ________ include: recovery; prolonged unresolved or progression to chronic; spreading and disseminating. | E) inflammation | [
[
"A",
"treatment"
],
[
"B",
"stimulation"
],
[
"C",
"vaccination"
],
[
"D",
"nutrition"
],
[
"E",
"inflammation"
],
[
"F",
"hydration"
],
[
"G",
"incubation"
],
[
"H",
"medication"
],
[
"I",
"infection"
],
[... | E | inflammation | Medicine | Basic Medicine | Pathology and Pathophysiology | middle | d1ad4c97aab64bf98a2555d0ab6a87b7 |
supergpqa | Determine the potential for the cell.$Pt\mid ^{Fe^{2+}}_{Fe_{3+}}\mid Cr_{2}O_{7}^{-2}\mid Cr^{+3},H^{+},Pt \mid$in which [$ Fe^{+2} $] and [$ Fe^{+3} $] are 0.5M and 0.75 M respectively and $ [Cr_{2}O_{7}^{-2}] ,[$ Cr^{+3} $] and $ H^[+} are 2 M, 4 M and 1 M respectively.Given: $ Fe^{+2} + e \rightarrow Fe^{+3}$ ... | F) 0.56 V | [
[
"A",
"0.82 V"
],
[
"B",
"0.85 V"
],
[
"C",
"0.72 V"
],
[
"D",
"0.79 V"
],
[
"E",
"0.86 V"
],
[
"F",
"0.56 V"
],
[
"G",
"0.71 V"
],
[
"H",
"0.78 V"
],
[
"I",
"0.76V"
],
[
"J",
"0.66 V"
]
] | F | 0.56 V | Science | Chemistry | Electrochemistry | middle | 4d43cb0481514150a4416524f17d8b66 |
supergpqa | The sequence $\{y_{n} \}$ satisfies the recurrence relation
$$
y_{n}=10 \, y_{n-1}-1 \quad( \, n=1, 2, \cdots\, ).
$$
If $y_{0}=\sqrt{2} \approx 1.41$ (to three significant figures), how large is the error when calculating up to $y_{10}$? Set $\delta=0.5 \times 10^{-2}$ | H) $$
\leqslant1 0^{1 0} \, \delta
$$ | [
[
"A",
"$$\n\\approx8 .4 \\times 10^{7} \\, \\delta\n$$"
],
[
"B",
"$$\n\\approx6 .2 \\times 10^{9} \\, \\delta\n$$"
],
[
"C",
"$$\n=3.2 \\times 1 0^{9} \\, \\delta\n$$"
],
[
"D",
"$$\n\\geqslant2 0^{9} \\, \\delta\n$$"
],
[
"E",
"$$\n\\approx9 \\times 10^{10}... | H | $$
\leqslant1 0^{1 0} \, \delta
$$ | Science | Mathematics | Numerical Analysis | hard | f2d9b1d7900c48449e1ab05ca8061404 |
supergpqa | An ideal diatomic gas undergoes a process in which internal energy relates to its volume as $ U= k\sqrt V$, where k is a positive constant. Based on the given information, answer the following question.
The molar heat capacity of gas for this process is : | C) $$4.5 R$$ | [
[
"A",
"$$6.5 R$$"
],
[
"B",
"$$2 R$$"
],
[
"C",
"$$4.5 R$$"
],
[
"D",
"$$3 R$$"
],
[
"E",
"$$4.25 R$$"
],
[
"F",
"$$3.5 R$$"
],
[
"G",
"$$5.5 R$$"
],
[
"H",
"$$2.5 R$$"
]
] | C | $$4.5 R$$ | Science | Physics | Thermodynamics and Statistical Physics | hard | c0e59c81abcf454183dc00022025607a |
supergpqa | Which of the following condition is associated with the presence of Kerley B lines on chest X ray? | A) Interstitial oedema | [
[
"A",
"Interstitial oedema"
],
[
"B",
"Pulmonary capillary wedge pressure elevation"
],
[
"C",
"Pulmonary capillary wedge pressure reduction"
],
[
"D",
"COPD"
],
[
"E",
"Pulmonary venous hypertension"
],
[
"F",
"Pulmonary aery hypeension"
],
[... | A | Interstitial oedema | Medicine | Clinical Medicine | Imaging and Nuclear Medicine | middle | bf226edb60864567960d0ef2cae2c449 |
supergpqa | In the basic theory of blitzkrieg, cutting off which side's connection with the enemy's front-line forces can weaken the enemy's morale and combat effectiveness? | C) the rear | [
[
"A",
"the command center"
],
[
"B",
"the flank"
],
[
"C",
"the rear"
],
[
"D",
"the front"
],
[
"E",
"the artillery"
],
[
"F",
"the supply lines"
],
[
"G",
"the logistics"
],
[
"H",
"the reserves"
],
[
"I",
"th... | C | the rear | Military Science | Military Science | Military Thought and History | middle | b08925e8d9f442948edb7ccd5a709a7c |
supergpqa | Let the domain of discourse $R = \{ 1, 2, 3, 4, 5 \}, \; A, B \in \mathcal{F}(R)$, and
$A = \left( 0.2, 0.3, 0.6, 0.1, 0.9 \right), \; B = \left( 0.1, 0.2, 0.7, 0.2, 0 \right)$.
What is the Euclidean nearness degree? | C) 0.6 | [
[
"A",
"0.3"
],
[
"B",
"0.8"
],
[
"C",
"0.6"
],
[
"D",
"0.7"
],
[
"E",
"0.5"
],
[
"F",
"0.1"
],
[
"G",
"0.9"
],
[
"H",
"0.4"
],
[
"I",
"0.65"
],
[
"J",
"0.2"
]
] | C | 0.6 | Science | Mathematics | Fuzzy Mathematics | middle | 1feae4da21f14ef88c7fc8f91190a02f |
supergpqa | The lift on a spinning circular cylinder in a freestream with a velocity of 30 m/s and at standard sea level conditions is 6 N/m of span. Calculate the circulation around the cylinder. | E) $$
0. 1 6 3 \ \mathrm{m}^{2} / \mathrm{s e c}
$$ | [
[
"A",
"$$\n0. 1 3 7 \\ \\mathrm{m}^{2} / \\mathrm{s e c}\n$$"
],
[
"B",
"$$\n0. 2 1 5 \\ \\mathrm{m}^{2} / \\mathrm{s e c}\n$$"
],
[
"C",
"$$\n0. 0 9 8 \\ \\mathrm{m}^{2} / \\mathrm{s e c}\n$$"
],
[
"D",
"$$\n0. 1 8 4 \\ \\mathrm{m}^{2} / \\mathrm{s e c}\n$$"
],
[
... | E | $$
0. 1 6 3 \ \mathrm{m}^{2} / \mathrm{s e c}
$$ | Engineering | Mechanics | Theoretical Fluid Mechanics | middle | ea88ce2bd7044690b310e325b6dd23ff |
supergpqa | A 60-year-old woman presents to the Emergency Department with right-sided pleuritic chest pain and mild shortness of breath for two days. The patient denies any coughing, fevers, syncope, chest trauma, recent travel or sick contacts, recent surgeries or hospitalizations, known history of cancer, hormone use, or prior h... | F) Draw a D-Dimer test | [
[
"A",
"Perform a V/Q scan"
],
[
"B",
"Initiate bedside echocardiography"
],
[
"C",
"Give lorazepam"
],
[
"D",
"Prescribe broad-spectrum antibiotics"
],
[
"E",
"Conduct an arterial blood gas"
],
[
"F",
"Draw a D-Dimer test"
],
[
"G",
"P... | F | Draw a D-Dimer test | Medicine | Clinical Medicine | Emergency Medicine | hard | 7d09ef0797ce4e5985bf74b721552ca7 |
supergpqa | $9.0 g$ ice at $0^{\circ}\! C$ is mixed with $36 g$ of water at $50^{\circ}\! C$ in a thermally insulated container. Using the following data, answer the question that follow ?$C_P(H_2O)=4.18 \:Jg^{-1}K^{-1}; \:\Delta H_{fusion}(ice) =335\:J\:g^{-1}$ $\Delta S_{ice}$ is : | G) $$14.2 \:JK^{-1}$$ | [
[
"A",
"$$12.8 \\:JK^{-1}$$"
],
[
"B",
"$$14.6 \\:JK^{-1}$$"
],
[
"C",
"$$3.16 \\:JK^{-1}$$"
],
[
"D",
"$$12.5 \\:JK^{-1}$$"
],
[
"E",
"$$15.2 \\:JK^{-1}$$"
],
[
"F",
"$$13.2 \\:JK^{-1}$$"
],
[
"G",
"$$14.2 \\:JK^{-1}$$"
],
[
"H... | G | $$14.2 \:JK^{-1}$$ | Science | Physics | Thermodynamics and Statistical Physics | hard | a3fec94715ff4d55a9dcff1f14f087d3 |
supergpqa | In a fiber optic communication system, the signal's state of polarization changes due to the polarization mode dispersion (PMD) of the fiber. If the maximum phase delay induced by PMD is 0.2 radians, find the change in the signal's state of polarization in the worst-case scenario (in radians). | I) 0.4 | [
[
"A",
"0.25"
],
[
"B",
"0.15"
],
[
"C",
"0.2"
],
[
"D",
"0.05"
],
[
"E",
"0.35"
],
[
"F",
"0.3"
],
[
"G",
"0.1"
],
[
"H",
"0.45"
],
[
"I",
"0.4"
],
[
"J",
"0.6"
]
] | I | 0.4 | Engineering | Optical Engineering | Optoelectronic Technology | middle | 5a311f1334ff4f0eb107c4f8d12c6391 |
supergpqa | When estimating the unknown parameter θ, given an unbiased estimator x of θ and a sufficient statistic T, if y represents the conditional mean of x given T, which of the following statements are correct? | E) y is a usable estimator of θ | [
[
"A",
"y follows a Gaussian distribution"
],
[
"B",
"the variance of y is greater than the variance of x"
],
[
"C",
"y is an unbiased estimator of x"
],
[
"D",
"the variance of y is less than the variance of x"
],
[
"E",
"y is a usable estimator of θ"
],
... | E | y is a usable estimator of θ | Science | Mathematics | Probability and Statistics | hard | 7452f4dcc50c4317bd31c4be4ac294f2 |
supergpqa | A machine learning problem involves four attributes plus a class. The attributes have 3, 2, 2, and 2 possible values each. The class has 3 possible values. How many maximum possible different examples are there? | E) 72 | [
[
"A",
"60"
],
[
"B",
"Both 72 and 96 are correct"
],
[
"C",
"96"
],
[
"D",
"108"
],
[
"E",
"72"
],
[
"F",
"36"
],
[
"G",
"48"
],
[
"H",
"144"
],
[
"I",
"24"
],
[
"J",
"12"
]
] | E | 72 | Engineering | Computer Science and Technology | Pattern Recognition | easy | 8fd0c79ef489452f99a477b866cb48d2 |
supergpqa | As shown in figure a horizontal platform with a mass $m$ placed on it is executing SHM along y-axis. If the amplitude of oscillation is $2.5cm$, the minimum period of the motion for the mass not to be detached from the platform is
($g=10m/{sec}^{2}={\pi}^{2}$) | B) $$\cfrac{1}{\sqrt{10}}s$$ | [
[
"A",
"$$\\cfrac{2}{\\sqrt{10}}s$$"
],
[
"B",
"$$\\cfrac{1}{\\sqrt{10}}s$$"
],
[
"C",
"$$\\cfrac{10}{\\pi}s$$"
],
[
"D",
"$$\\cfrac{\\pi}{\\sqrt{10}}s$$"
],
[
"E",
"$$\\cfrac{5}{\\sqrt{10}}s$$"
],
[
"F",
"$$\\cfrac{\\pi}{10\\sqrt{10}}s$$"
],
[... | B | $$\cfrac{1}{\sqrt{10}}s$$ | Engineering | Mechanics | Fundamentals of Dynamics and Control | hard | b20d66dc73134099b41d59e72ca340fa |
supergpqa | What has directed and supported the reform of the education system? | C) Politics | [
[
"A",
"Culture"
],
[
"B",
"Level of economic development"
],
[
"C",
"Politics"
],
[
"D",
"Technological advancements"
],
[
"E",
"Community engagement"
],
[
"F",
"Social movements"
],
[
"G",
"Globalization"
],
[
"H",
"Educat... | C | Politics | Education | Education | Educational Technology and Principles | middle | 008297c806424471888585d80f10fed6 |
supergpqa | At 25°C, the diffusion-controlled rate of a certain electrode reaction is $3 \times 10^{-2} \text{ mol/m}^2 \text{s}$. If the diffusion rate is increased 1000 times through vigorous stirring, the diffusion step can become a non-controlling step. How much should the diffusion activation energy be changed for this purpos... | G) The diffusion activation energy should be reduced to 17106 J/mol. | [
[
"A",
"The diffusion activation energy should be stabilized at 29000 J/mol."
],
[
"B",
"The diffusion activation energy should be adjusted to 6000 J/mol."
],
[
"C",
"The diffusion activation energy should remain unchanged at 5000 J/mol."
],
[
"D",
"The diffusion activati... | G | The diffusion activation energy should be reduced to 17106 J/mol. | Science | Chemistry | Electrochemistry | middle | bcb195fdafc24e9687047ce5cce61f05 |
supergpqa | A homeowner agreed to buy a neighbor's car for the fair market value of $16,000. The two-year-old car was a popular make and model in excellent condition. The contract specified that, if for any reason the homeowner failed to pay the full $16,000 on the agreed date of the sale, the homeowner would owe the neighbor $16,... | B) No, because the neighbor would be able to sell the car to another buyer if the neighbor desired to do so, making the amount of the neighbor's actual loss much lower than $16,000. | [
[
"A",
"Yes, because $16,000 was the fair market value of the car, and thus is a reasonable estimate of the neighbor's anticipated loss."
],
[
"B",
"No, because the neighbor would be able to sell the car to another buyer if the neighbor desired to do so, making the amount of the neighbor's actua... | B | No, because the neighbor would be able to sell the car to another buyer if the neighbor desired to do so, making the amount of the neighbor's actual loss much lower than $16,000. | Law | Law | Contract Law | middle | 9db11707c7a4418f900f8238ff4ca25a |
supergpqa | We now define an algorithm: The definition of a(n) is: The number of ways to arrange a linear forest composed of exactly 2 rooted trees with n nodes. Given the input x_list (a series of values): [23, 24, 25, 26, 27, 28, 29, 30, 31, 32], determine the corresponding output sequence y_list. | B) [506909562, 1408854940, 3925075510, 10959698606, 30665337738, 85967279447, 241433975446, 679192039401, 1913681367936, 5399924120339] | [
[
"A",
"[506909563, 1408854941, 3925075511, 10959698607, 30665337739, 85967279448, 241433975447, 679192039402, 1913681367937, 5399924120340]"
],
[
"B",
"[506909562, 1408854940, 3925075510, 10959698606, 30665337738, 85967279447, 241433975446, 679192039401, 1913681367936, 5399924120339]"
],
[
... | B | [506909562, 1408854940, 3925075510, 10959698606, 30665337738, 85967279447, 241433975446, 679192039401, 1913681367936, 5399924120339] | Engineering | Computer Science and Technology | Data Structures | hard | b048cab043ac46689c4345c5608b4730 |
supergpqa | Blackbody radiation force at the same temperature compared to other substances () | F) Maximum | [
[
"A",
"Minimal"
],
[
"B",
"Lower"
],
[
"C",
"Constant"
],
[
"D",
"Higher"
],
[
"E",
"Equivalent"
],
[
"F",
"Maximum"
],
[
"G",
"Minimalistic"
],
[
"H",
"Negligible"
],
[
"I",
"Average"
],
[
"J",
"Red... | F | Maximum | Engineering | Power Engineering and Engineering Thermophysics | Heat Transfer | easy | 6a158d4791134a4487a557f82a4ffdbc |
supergpqa | Consider a granite column with a cross-sectional area of $A$ and a length of $l$, connected at both ends to other rock blocks. Suppose the temperature of the column suddenly drops by 40°C, while the distance between the two ends remains unchanged. Given that the linear expansion coefficient of granite is $a = 7 \times ... | J) $70kg/cm^{2}$ | [
[
"A",
"$75kg/cm^{2}$"
],
[
"B",
"$60kg/cm^{2}$"
],
[
"C",
"$55kg/cm^{2}$"
],
[
"D",
"$65kg/cm^{2}$"
],
[
"E",
"$50kg/cm^{2}$"
],
[
"F",
"$95kg/cm^{2}$"
],
[
"G",
"$90kg/cm^{2}$"
],
[
"H",
"$80kg/cm^{2}$"
],
[
"I",
... | J | $70kg/cm^{2}$ | Engineering | Mechanics | Solid Mechanics | middle | c5eb6fb4d3d54c3c8ec40307066a5432 |
supergpqa | Which of the following are the conditions for the simple reproduction of total social capital? (Choose the option that includes all the correct statements)
I. I (v+m) = II c
II. I (c+v+m) = I c + II c
III. II (c+v+m) = I (v+m) + II (v+m)
IV. I (c+v+m) = I (v+△c) + II (c+△c)
V. I (v+m) > II c. | C) I, II, and III | [
[
"A",
"I, III, and IV"
],
[
"B",
"I, II, and V"
],
[
"C",
"I, II, and III"
],
[
"D",
"Only II"
],
[
"E",
"Only I"
],
[
"F",
"I, II, and IV"
],
[
"G",
"Only III"
],
[
"H",
"I, II, III, and IV"
],
[
"I",
"II, III,... | C | I, II, and III | Economics | Theoretical Economics | Political Economy | easy | 65b77df05e5a4818b6223a2017ea37f3 |
supergpqa | A protostar that will eventually turn into a star like the Sun is significantly(). | B) $$
\mathrm{m o r e \ l u m i n o u s}
$$ | [
[
"A",
"$$\n\\mathrm{m o r e \\ c o m p a c t}\n$$"
],
[
"B",
"$$\n\\mathrm{m o r e \\ l u m i n o u s}\n$$"
],
[
"C",
"$$\n\\mathrm{m o r e \\ t u r b u l e n t}\n$$"
],
[
"D",
"$$\n\\mathrm{m o r e \\ d i s f u s e}\n$$"
],
[
"E",
"$$\n\\mathrm{l e s s \\ l ... | B | $$
\mathrm{m o r e \ l u m i n o u s}
$$ | Science | Astronomy | Cosmology | middle | fd4b569c1c1541cc9d9844beab603212 |
supergpqa | Student-A: at maximum extension $ mv^\prime(l_0+\Delta\ell)=mv_0\ell_0 $
Student-B: at maximum extension $ k\Delta\ell=\dfrac{mv^{\prime2}}{\ell_0+\Delta\ell}
$.
Student-C: $ \dfrac {1}{2} mv_0^2=\dfrac{1}{2}mv^\prime{2}+\dfrac{1}{2}k\Delta\ell^2 $
where $ v^\prime $ is velocity at instant of maximum extension | G) Only Student-A and C are correct | [
[
"A",
"Only Student-C and B are correct"
],
[
"B",
"Only Student-B and A are correct"
],
[
"C",
"Only Student-C and A are incorrect"
],
[
"D",
"Only Student-A and B are incorrect"
],
[
"E",
"Only Student-B and C are correct"
],
[
"F",
"Only Studen... | G | Only Student-A and C are correct | Science | Physics | Thermodynamics and Statistical Physics | hard | 1cee752ddde645029bc7ea6e2a621acf |
supergpqa | If the price of US Treasury bonds falls, and other conditions remain unchanged, the difference between the LIBOR rate and the US Treasury bond rate of the same maturity will ( ). | B) decrease | [
[
"A",
"remain unchanged"
],
[
"B",
"decrease"
],
[
"C",
"widen"
],
[
"D",
"double"
],
[
"E",
"stabilize"
],
[
"F",
"increase"
],
[
"G",
"fluctuate"
],
[
"H",
"tighten"
],
[
"I",
"become 0"
],
[
"J",
... | B | decrease | Economics | Applied Economics | Finance | middle | 884d17ef47a448e7b013f7fad63a9f66 |
supergpqa | Digital signs have become all the rage in your municipality. As Planning Director you ask your senior staff to revise your existing sign ordinances to address:
I. Message control
II. Amortization
III. Illumination
IV. No net increase policies | B) III, IV | [
[
"A",
"II, III, IV"
],
[
"B",
"III, IV"
],
[
"C",
"II, IV"
],
[
"D",
"I, IV"
],
[
"E",
"I, II"
],
[
"F",
"I, II, III, IV"
],
[
"G",
"I, III"
],
[
"H",
"III, II"
],
[
"I",
"II, III"
]
] | B | III, IV | Engineering | Architecture | Urban Planning and Design | middle | 647997516159445788daeeb9851bf2c5 |
supergpqa | The optimal solution for the following problem is ( ).
max z=2 x1+3x2;
x1 + x3=5;
x1+2x2+x4=10;
x2 +x5=4; | A) (5, 5/2, 0, 0, 3/2) | [
[
"A",
"(5, 5/2, 0, 0, 3/2)"
],
[
"B",
"(5, 2, 0, 0, 3)"
],
[
"C",
"(0, 4, 5, 2, 0)"
],
[
"D",
"(5, 3/2, 0, 5/2, 0)"
],
[
"E",
"(0, 0, 5, 10, 4)"
],
[
"F",
"(2, 4, 3, 0, 0)"
],
[
"G",
"(5, 7/2, 0, 0, 1/2)"
],
[
"H",
"(2, 4, ... | A | (5, 5/2, 0, 0, 3/2) | Engineering | Control Science and Engineering | Operations Research and Cybernetics | middle | 3fca0bf7f4cd48cdab5110efecbf7f93 |
supergpqa | Escape velocity of a satellite of the earth at an altitude equal to radius of the earth is $v$. What will be the escape velocity at an altitude equal to $7R$, where $r$ = radius of the earth? | H) $$8v$$ | [
[
"A",
"\\cfrac{v}{6}"
],
[
"B",
"\\cfrac{v}{8}"
],
[
"C",
"$$\\cfrac{v}{2}$$"
],
[
"D",
"$$4v$$"
],
[
"E",
"\\cfrac{v}{3}"
],
[
"F",
"\\cfrac{v}{9}"
],
[
"G",
"$$\\cfrac{v}{4}$$"
],
[
"H",
"$$8v$$"
],
[
"I",
"\\... | H | $$8v$$ | Science | Astronomy | Astrophysics | middle | cd315d1f4f2142ae9cfb818ed3310bd9 |
supergpqa | Let $\mathcal{P}$ be a parabola with vertex $V$ , focus $F$ , and directrix $\ell$ . $FV$ intersects $\ell$ at $D$ . Let $A$ be a point on $\mathcal{P}$ , and suppose that the intersection of $AD$ and $\mathcal{P}$ is $B$ . Given that $AB=3$ and $BD=1$ , the value of $AF^2$ can be written as $\tfrac mn$ , where $m$ and... | A) 441 | [
[
"A",
"441"
],
[
"B",
"442"
],
[
"C",
"444"
],
[
"D",
"445"
],
[
"E",
"440"
],
[
"F",
"443"
],
[
"G",
"446"
]
] | A | 441 | Science | Mathematics | Geometry and Topology | hard | aa5971d225084474b5bd0a4e2a4c2203 |
supergpqa | What are the characteristics of action potentials? | C) Incremental spread, all-or-none characteristic, conduction properties. | [
[
"A",
"Steady flow, variable intensity, transmission traits."
],
[
"B",
"Gradual expansion, partial flexibility, movement properties."
],
[
"C",
"Incremental spread, all-or-none characteristic, conduction properties."
],
[
"D",
"Uniform development, full spectrum, transf... | C | Incremental spread, all-or-none characteristic, conduction properties. | Science | Biology | Biophysics | middle | 1a20d6c6bd9c4cd2b6ad2d9ca775c5a6 |
supergpqa | If OLS is applied separately to each equation that is part of a simultaneous system, the resulting estimates will be | E) Biased and inconsistent | [
[
"A",
"Unbiased and efficient"
],
[
"B",
"Biased but inconsistent for one equation only"
],
[
"C",
"Unbiased and consistent"
],
[
"D",
"Consistent but inefficient"
],
[
"E",
"Biased and inconsistent"
],
[
"F",
"It is impossible to apply OLS to equ... | E | Biased and inconsistent | Economics | Applied Economics | Quantitative Economics | middle | b3601015cc0f42de9c9bdcc500a2e8be |
supergpqa | Mutual inductance of a system of two thin coaxial conducting loops of radius 0.1 m, and then center separated by distance 10 m is (Take $\mu^{2} = 10$) | D) $2 \times 10^{-20}$ H | [
[
"A",
"$2 \\times 10^{-18}$ H"
],
[
"B",
"$2 \\times 10^{-14}$ H"
],
[
"C",
"$2 \\times 10^{-15}$ H"
],
[
"D",
"$2 \\times 10^{-20}$ H"
],
[
"E",
"$2 \\times 10^{-13}$ H"
],
[
"F",
"$$2 \\times 10^{-19} H$$"
],
[
"G",
"$$2 \\times 10^{... | D | $2 \times 10^{-20}$ H | Engineering | Electrical Engineering | Electrical Theory and New Technologies | middle | a7c1ef5c96454a238145151a9c2e74a7 |
supergpqa | Compute the number of positive integer triplets $(a,b,c)$ with $1\le a,b,c\le 500$ that satisfy the following properties:
(a) $abc$ is a perfect square,
(b) $(a+7b)c$ is a power of $2$ ,
(c) $a$ is a multiple of $b$ . | E) 115 | [
[
"A",
"111"
],
[
"B",
"110"
],
[
"C",
"114"
],
[
"D",
"112"
],
[
"E",
"115"
],
[
"F",
"117"
],
[
"G",
"113"
],
[
"H",
"118"
],
[
"I",
"116"
],
[
"J",
"119"
]
] | E | 115 | Science | Mathematics | Number Theory | hard | 5aa5ef57a4fe4330906513b3a7d24988 |
supergpqa | Among the following theft actions, the one that may be punishable by the death penalty is (). | H) Theft of an exceptionally large amount from a financial institution | [
[
"A",
"Theft of a significantly large sum from a jewelry store"
],
[
"B",
"Theft of a particularly large amount from a shopping mall"
],
[
"C",
"Theft of a notably high quantity from a government building"
],
[
"D",
"Theft of a particularly large amount from a warehouse"... | H | Theft of an exceptionally large amount from a financial institution | Law | Law | Criminal Law | middle | 53aec0ac73554b99918196d37831add1 |
supergpqa | About the role of map annotations, "( )" is correct. | C) Map annotations can indicate quantity and quality. | [
[
"A",
"Map annotations can specify texture and density."
],
[
"B",
"Map annotations can dictate size and contour."
],
[
"C",
"Map annotations can indicate quantity and quality."
],
[
"D",
"Map annotations can express height and distance."
],
[
"E",
"Map annot... | C | Map annotations can indicate quantity and quality. | Engineering | Surveying and Mapping Science and Technology | Cartography and Geographic Information Engineering | easy | ff304152c9d24d3eb81c84faa654f46d |
supergpqa | The minimum value of the function \( f(x) = \begin{cases} \frac{x^2}{4} + \frac{x}{2} - \frac{15}{4}, & x < 0 \\ x^3 - 6x^2 + 8x, & x \ge 0 \end{cases} \) on \( (-\infty, +\infty) \) is ( ). | C) -4 | [
[
"A",
"-2"
],
[
"B",
"-3.5"
],
[
"C",
"-4"
],
[
"D",
"1"
],
[
"E",
"4"
],
[
"F",
"-4.5"
],
[
"G",
"-5"
],
[
"H",
"-4.25"
],
[
"I",
"-1"
],
[
"J",
"-3"
]
] | C | -4 | Science | Mathematics | Mathematical Analysis | middle | a2bcbc612b614d179393a5db58687c23 |
supergpqa | Estimate the Roche limit for the Earth-Moon system. Express your answer in units of the radius of Earth. | A) $$
0. 0 4 8 a_{\mathrm{M o o n}}
$$ | [
[
"A",
"$$\n0. 0 4 8 a_{\\mathrm{M o o n}}\n$$"
],
[
"B",
"$$\n0. 1 0 4 a_{\\mathrm{M e r c u r y}}\n$$"
],
[
"C",
"$$\n0. 0 7 9 a_{\\mathrm{M a r s}}\n$$"
],
[
"D",
"$$\n0. 3 2 8 a_{\\mathrm{N e p t u n e}}\n$$"
],
[
"E",
"$$\n0. 2 1 6 a_{\\mathrm{J u p i t e... | A | $$
0. 0 4 8 a_{\mathrm{M o o n}}
$$ | Science | Astronomy | Solar System Science | hard | 2145e6f56fe148c4831c7edd0c171d15 |
supergpqa | A bridge on a first-class highway consists of a main bridge and approach bridges. Its structure: the main bridge is a three-span (70m + 100m + 70m) variable cross-section prestressed concrete continuous box girder; each approach bridge consists of 5 spans of 40m prestressed concrete small box-shaped section girders. Th... | C) 647.96 | [
[
"A",
"625.50"
],
[
"B",
"655.40"
],
[
"C",
"647.96"
],
[
"D",
"640.65"
],
[
"E",
"672.30"
],
[
"F",
"699.20"
],
[
"G",
"679.15"
],
[
"H",
"682.45"
],
[
"I",
"610.25"
],
[
"J",
"630.80"
]
] | C | 647.96 | Engineering | Civil Engineering | Structural Engineering | middle | 6f69753d72f649ce93c0c6c12ec435f1 |
supergpqa | If one affirms , and denies , then ( ) is required. | J) violates the law of contradiction | [
[
"A",
"violates the law of exclusion"
],
[
"B",
"aligns with the law of double negation"
],
[
"C",
"violates the law of identity"
],
[
"D",
"does not violate the fundamental laws of logic"
],
[
"E",
"reinforces the law of identity"
],
[
"F",
"upho... | J | violates the law of contradiction | Philosophy | Philosophy | Logic | middle | c1b42337068e4371bca26bbdfaf70516 |
supergpqa | Which American YouTuber hosted the 11th Streamy Awards broadcast on YouTube on December 11, 2021, along with Issa Twaimz? | E) Larray | [
[
"A",
"Larray and Jack and Issa"
],
[
"B",
"Larray and Issa Twaimz"
],
[
"C",
"Larray and Jack"
],
[
"D",
"Larray and Issa Twaimz and Jack"
],
[
"E",
"Larray"
],
[
"F",
"Larray and Jack and Issa Twaimz"
],
[
"G",
"Larray and Issa"
]
... | E | Larray | Literature and Arts | Journalism and Communication | Communication and Broadcasting | easy | d9cea6fcb3b74408b0aca438976cfbba |
supergpqa | Under Chinese law,State employee A accepted a bank card as a bribe for "doing favors" for someone. B used the 3 million yuan on the card to purchase stocks. B's actions constitute (). | J) The crime of money laundering | [
[
"A",
"The crime of harboring a criminal"
],
[
"B",
"The act of illegal financial speculation"
],
[
"C",
"The crime of fraudulent misrepresentation"
],
[
"D",
"The crime of bribery"
],
[
"E",
"The misuse of corporate funds"
],
[
"F",
"The violatio... | J | The crime of money laundering | Law | Law | Criminal Law | middle | 9919cd2e226e467f90398650e2fc57ad |
supergpqa | "This is a matter of lifelong importance for the child; the child should decide for themselves." Which work is this line from? | A) Lifelong Matters* | [
[
"A",
"Lifelong Matters*"
],
[
"B",
"*Gone with the Wind*"
],
[
"C",
"*Pride and Prejudice*"
],
[
"D",
"*The Little Prince*"
],
[
"E",
"*A Doll's House*"
],
[
"F",
"*The Red Chamber*"
],
[
"G",
"*To Kill a Mockingbird*"
],
[
"H... | A | Lifelong Matters* | Literature and Arts | Language and Literature | Literary History | easy | 45c012db5eb24f348b9e1a2d6b58d23d |
supergpqa | For all real numbers $x$ satisfying $x^4+173056\leq 2768x^2$, what is the maximum value of $f(x)=x^3-3x$? | E) 140452 | [
[
"A",
"140450"
],
[
"B",
"140455"
],
[
"C",
"140453"
],
[
"D",
"140456"
],
[
"E",
"140452"
],
[
"F",
"140457"
],
[
"G",
"140451"
],
[
"H",
"140459"
],
[
"I",
"140458"
],
[
"J",
"140454"
]
] | E | 140452 | Science | Mathematics | Fundamental Mathematics | hard | 6c535032a6eb44e98af1646a3cabc2bd |
supergpqa | For a given fluid flow potential $f(z) = \frac{1}{z^{2}-1}$, try to respectively determine the flow rate and circulation along the circles (1) $C_{1}: \mid z-1 \mid=\frac{1}{2}$, (2) $C_{2}: \mid z+1 \mid=\frac{1}{2}$, and (3) $C_{3} : \mid z \mid=3$. | H) $$0$$
$$0$$
$$0$$ | [
[
"A",
"$$2$$\n$$2$$\n$$2$$"
],
[
"B",
"$$-3$$\n$$-3$$\n$$-3$$"
],
[
"C",
"$$i$$\n$$i$$\n$$i$$"
],
[
"D",
"$$-2$$\n$$-2$$\n$$-2$$"
],
[
"E",
"$$-\\frac{1}{2}$$\n$$-\\frac{1}{2}$$\n$$-\\frac{1}{2}$$"
],
[
"F",
"$$3$$\n$$3$$\n$$3$$"
],
[
"G",... | H | $$0$$
$$0$$
$$0$$ | Science | Mathematics | Functions of Complex Variables | middle | f4f6dbb2705f4ac0b2e6bb6a631850f2 |
supergpqa | Two moles of an ideal gas undergo an irreversible isothermal expansion from $V_{A}=1 0 0$ liters to $V_{B}=3 0 0$ liters at $T=3 0 0 \mathrm{K}.$ What is the entropy change for this process? | I) $$
4. 3 9 {\frac{\mathrm{c a l}} {\mathrm{d e g}}}
$$ | [
[
"A",
"$$\n3. 9 5 {\\frac{\\mathrm{c a l}} {\\mathrm{d e g}}}\n$$"
],
[
"B",
"$$\n3. 7 2 {\\frac{\\mathrm{c a l}} {\\mathrm{d e g}}}\n$$"
],
[
"C",
"$$\n4. 1 9 {\\frac{\\mathrm{c a l}} {\\mathrm{d e g}}}\n$$"
],
[
"D",
"$$\n6. 0 1 {\\frac{\\mathrm{c a l}} {\\mathrm{d e g... | I | $$
4. 3 9 {\frac{\mathrm{c a l}} {\mathrm{d e g}}}
$$ | Science | Physics | Thermodynamics and Statistical Physics | middle | 216d45dff8b749128b6eb05ea7dc0367 |
supergpqa | Consider the following two statements regarding a linearly polarised, plane electromagnetic wave:
(A) The electric field and the magnetic field have equal average values.
(B) The electric energy and the magnetic field have equal average values | J) Both (A) and (B) are true. | [
[
"A",
"(A) is false and (B) is false."
],
[
"B",
"(B) is false but (A) is true."
],
[
"C",
"(A) is false and (B) is true."
],
[
"D",
"(A) is true but (B) is false."
],
[
"E",
"(B) is true but (A) is false."
],
[
"F",
"(A) is false but (B) is true.... | J | Both (A) and (B) are true. | Science | Physics | Electrodynamics | middle | dc24510021e14e348cb4461ffad4908e |
supergpqa | Musgrave believes that in the entire development stage, the relationship between government investment and total investment is (). | C) The proportion of total investment continues to rise, and the proportion of government investment in GDP continues to decline | [
[
"A",
"The proportion of total investment continues to decline, and the proportion of government investment in GDP remains stable"
],
[
"B",
"The proportion of total investment fluctuates, and the proportion of government investment in GDP continues to decline"
],
[
"C",
"The propor... | C | The proportion of total investment continues to rise, and the proportion of government investment in GDP continues to decline | Economics | Applied Economics | Public Finance | middle | 29c0b11e95784bbab09b577d068faae5 |
supergpqa | Which are the ethical violations in current news photography? | C) Post-production falsification; Lack of humanitarian concern in disaster and violence news | [
[
"A",
"Unauthorized digital manipulation; Excessive dramatization in conflict coverage"
],
[
"B",
"Pre-editing scene construction; Overlooked subject consent in war reporting"
],
[
"C",
"Post-production falsification; Lack of humanitarian concern in disaster and violence news"
],
... | C | Post-production falsification; Lack of humanitarian concern in disaster and violence news | Literature and Arts | Journalism and Communication | Journalism and News Practice | middle | 51f70cb317ee4b4c9fcb9f8e4209a5dc |
supergpqa | There is a tubular heat exchanger with an inner tube made of steel, measuring $\phi180\mathrm{mm}\times10\mathrm{mm}$. Water is used to cool crude oil, employing a countercurrent operation. The water flows inside the tube, entering at a temperature of 15°C and exiting at 55°C. The crude oil flows through the annular sp... | B) 6.2m | [
[
"A",
"9.8m"
],
[
"B",
"6.2m"
],
[
"C",
"10.5m"
],
[
"D",
"23.9m"
],
[
"E",
"18.4m"
],
[
"F",
"15.6m"
],
[
"G",
"12.5m"
],
[
"H",
"78.4m"
],
[
"I",
"11.3m"
],
[
"J",
"7.1m"
]
] | B | 6.2m | Engineering | Power Engineering and Engineering Thermophysics | Heat Transfer | middle | 8d0c7bbaccbf46cb8e876fa5dbe503f2 |
supergpqa | Which of the following is not a lymphatic organ? | A) Parathyroid gland | [
[
"A",
"Parathyroid gland"
],
[
"B",
"Pancreatic islet"
],
[
"C",
"Tonsil"
],
[
"D",
"Dirty cards"
],
[
"E",
"Thyroid cartilage"
],
[
"F",
"Bone marrow"
],
[
"G",
"Adenoid gland"
],
[
"H",
"Pronephros"
],
[
"I",
... | A | Parathyroid gland | Medicine | Basic Medicine | Immunology | easy | 532ded6c70ba4383a3715330b5fab9e3 |
supergpqa | When creating visual images,you can use () structures to give people a sense of movement and instability. | H) oblique line | [
[
"A",
"jagged line"
],
[
"B",
"zigzag line"
],
[
"C",
"spiral line"
],
[
"D",
"dotted line"
],
[
"E",
"horizontal line"
],
[
"F",
"curve"
],
[
"G",
"vertical line"
],
[
"H",
"oblique line"
],
[
"I",
"wavy line"
... | H | oblique line | Literature and Arts | Art Studies | Design Arts | middle | e6eed7fc12c24be29d2c641e4fa6f18c |
supergpqa | What are the characteristics of localized aggressive periodontitis? | F) Attachment loss localized to the proximal surfaces of the first permanent molar or incisors, affecting at least two permanent teeth, with one being a first molar. Other affected teeth (not including first molars and incisors). | [
[
"A",
"Attachment loss localized to the proximal surfaces of the first permanent molars, affecting at least three permanent teeth, with no more than two other affected teeth (not including first molars and incisors)."
],
[
"B",
"Attachment loss localized to apical surfaces of first permanent mo... | F | Attachment loss localized to the proximal surfaces of the first permanent molar or incisors, affecting at least two permanent teeth, with one being a first molar. Other affected teeth (not including first molars and incisors). | Medicine | Stomatology | Basic Stomatology | middle | 54693672db394753b00b2d76ad505169 |
supergpqa | Which is a triazole antifungal drug ? | F) Fluconazole | [
[
"A",
"Isavuconazole"
],
[
"B",
"Terconazole"
],
[
"C",
"Sertaconazole"
],
[
"D",
"Luliconazole"
],
[
"E",
"Miconazole"
],
[
"F",
"Fluconazole"
],
[
"G",
"Voriconazole"
],
[
"H",
"Ketoconazole"
],
[
"I",
"Yikang... | F | Fluconazole | Medicine | Pharmacy | Medicinal Chemistry | easy | d3a26ef159894168a21bd6c3c56e0aed |
supergpqa | A 32-year-woman is admitted to the emergency department as a rape case. Fluids from her vagina are collected for DNA and fructose examination. Which of the following male organs is responsible for fructose production? | E) Seminal vesicles | [
[
"A",
"Testis"
],
[
"B",
"Prostate gland"
],
[
"C",
"Kidneys"
],
[
"D",
"Epididymis"
],
[
"E",
"Seminal vesicles"
]
] | E | Seminal vesicles | Medicine | Basic Medicine | Forensic Medicine | easy | 0c3b215aab55489ba018325fb518f419 |
supergpqa | Two electrons are tightly confined to different neighboring positions in a certain solid. In this way, they are distinguishable and can be described by their respective Pauli spin matrices $\sigma^{(1)}$ and $\sigma^{(2)}$. Their Hamiltonian is given by
$$
H = -J \left[ \sigma_{x}^{(1)} \sigma_{x}^{(2)} + \sigma_{y}^{(... | H) $$
3
$$
$$
2 J, \ 0, \ -2 J
$$ | [
[
"A",
"$$\n2\n$$\n$$\n3 J, \\ -3 J\n$$"
],
[
"B",
"$$\n3\n$$\n$$\n2 J, \\ 4 J, \\ 6 J\n$$"
],
[
"C",
"$$\n3\n$$\n$$\n0, \\ -2 J, \\ -4 J\n$$"
],
[
"D",
"$$\n2\n$$\n$$\n4 J, \\ -4 J\n$$"
],
[
"E",
"$$\n3\n$$\n$$\n3 J, \\ 0, \\ -3 J\n$$"
],
[
"F",
"... | H | $$
3
$$
$$
2 J, \ 0, \ -2 J
$$ | Science | Physics | Quantum Mechanics | middle | ac5436fba4a544b3845edab511f1b399 |
supergpqa | Which of the following composers is considered a pioneer of "electronic music," and whose work **Electronic Studies** marked the beginning of a new era in electronic music? | C) Karlheinz Stockhausen | [
[
"A",
"La Monte Young"
],
[
"B",
"Philip Glass"
],
[
"C",
"Karlheinz Stockhausen"
],
[
"D",
"Igor Stravinsky"
],
[
"E",
"Steve Reich"
],
[
"F",
"Terry Riley"
],
[
"G",
"John Cage"
],
[
"H",
"Pierre Boulez"
],
[
"I",... | C | Karlheinz Stockhausen | Literature and Arts | Musicology | Music History, Education, and Technology | easy | 413cabcd48ae46a891472805fb26b1a3 |
supergpqa | For small, slowly falling objects, the assumption made in the text that the drag force is proportional to the velocity is a good one. For larger, more rapidly falling objects, it is more accurate to assume that the drag force is proportional to the square of the velocity. If m = 10 kg, find the drag coefficient so that... | E) $\frac{2}{49}$ | [
[
"A",
"$\\frac{1}{98}$"
],
[
"B",
"$\\frac{4}{49}$"
],
[
"C",
"$\\frac{3}{49}$"
],
[
"D",
"$\\frac{8}{49}$"
],
[
"E",
"$\\frac{2}{49}$"
],
[
"F",
"$\\frac{5}{49}$"
],
[
"G",
"$\\frac{6}{49}$"
],
[
"H",
"$\\frac{7}{49}$"
]... | E | $\frac{2}{49}$ | Science | Physics | Fluid Physics | middle | 04c5a8805d2b4ba6801e49d2289ff43a |
supergpqa | The cell most closely associated with acute allograft rejection is ( ) | F) CD8+ T cells | [
[
"A",
"NK cells"
],
[
"B",
"mast cells"
],
[
"C",
"B cells"
],
[
"D",
"CD4+ T cells"
],
[
"E",
"eosinophils"
],
[
"F",
"CD8+ T cells"
]
] | F | CD8+ T cells | Medicine | Basic Medicine | Immunology | middle | 29d70b32b94e4a5f96f4d3590ad5bea6 |
supergpqa | According to the leadership lifecycle theory, when the average maturity level of organizational members is at an immature stage, the leadership style that leaders should adopt is: | C) High task, low relationship. | [
[
"A",
"Low task, high relationship."
],
[
"B",
"Low task, low relationship."
],
[
"C",
"High task, low relationship."
],
[
"D",
"High task, high relationship."
]
] | C | High task, low relationship. | Military Science | Military Science | Military Management | middle | 1bc9f264ff644c34a979b7eca4201108 |
supergpqa | What can be a solution to run large jobs with small memory? | J) Virtual Storage Management Solution | [
[
"A",
"Dynamic Resource Allocation Strategy"
],
[
"B",
"Cloud-Based Task Allocation System"
],
[
"C",
"Multi-Threaded Execution Framework"
],
[
"D",
"Distributed Memory Allocation Network"
],
[
"E",
"Scalable Data Handling Interface"
],
[
"F",
"Ad... | J | Virtual Storage Management Solution | Engineering | Computer Science and Technology | Operating Systems | middle | d40935c240af4435ba00fbe836d0ab91 |
supergpqa | A small satellite galaxy moves in a circular orbit around a much more massive parent and happens to be moving exactly parallel to the line of sight as seen from Earth. The recession welocities of the satellite and the parent galaxy are measured to be 6450 km/s and 6500 km/s, respectively, and the two galaxies are separ... | F) $9. 4 \times1 0^{1 0}$ solar masses | [
[
"A",
"$1. 5 \\times1 0^{1 1}$ solar masses"
],
[
"B",
"$8. 8 \\times1 0^{1 0}$ solar masses"
],
[
"C",
"$1. 0 \\times1 0^{1 1}$ solar masses"
],
[
"D",
"$1. 2 \\times1 0^{1 0}$ solar masses"
],
[
"E",
"$7. 3 \\times1 0^{1 0}$ solar masses"
],
[
"F",
... | F | $9. 4 \times1 0^{1 0}$ solar masses | Science | Astronomy | Cosmology | hard | 8abd20ea4fc148858365f1929a6360d2 |
supergpqa | This question refers to the following information.
"The quicksilver mines of Huancavelica are where the poor Indians are so harshly punished, where they are tortured and so many Indians die; it is there that the noble caciques [headmen] of this kingdom are finished off and tortured. The same is true in all the other mi... | A) widely did not condone intermingling with the natives | [
[
"A",
"widely did not condone intermingling with the natives"
],
[
"B",
"forced the natives to convert to Christianity"
],
[
"C",
"used the natives as guides and allies in their exploration"
],
[
"D",
"viewed the natives as true equals as they settled the Americas"
],
... | A | widely did not condone intermingling with the natives | History | History | World History | middle | 010bf639fa704b8d9ccaadef1f236673 |
supergpqa | When \( x \to 1 \), which of the following is an infinitesimal quantity? | G) \( \ln x \) | [
[
"A",
"\\ln (x + 0.1)"
],
[
"B",
"\\(\\ln (x^2)\\)"
],
[
"C",
"\\( \\ln (x - 1) \\)"
],
[
"D",
"\\( x^2 \\)"
],
[
"E",
"\\( \\ln (x + 1) \\)"
],
[
"F",
"\\( e^x \\)"
],
[
"G",
"\\( \\ln x \\)"
],
[
"H",
"\\ln (x + 0.5)"
]... | G | \( \ln x \) | Science | Mathematics | Fundamental Mathematics | middle | ec9c85c5b33e46c2a585740bffc81a97 |
supergpqa | Fold the line segment $[0,a]$ arbitrarily into three folds, so what is the probability that these three folds can form a triangle? | C) $$
{\frac{1} {4}}
$$ | [
[
"A",
"$$\n{\\frac{1} {12}}\n$$"
],
[
"B",
"$$\n{\\frac{1} {2}}\n$$"
],
[
"C",
"$$\n{\\frac{1} {4}}\n$$"
],
[
"D",
"$$\n{\\frac{1} {3}}\n$$"
],
[
"E",
"$$\n{\\frac{1} {8}}\n$$"
],
[
"F",
"$$\n{\\frac{1} {9}}\n$$"
],
[
"G",
"$$\n{\\frac... | C | $$
{\frac{1} {4}}
$$ | Science | Mathematics | Probability and Statistics | middle | 7eecaba3f91a4ab0a9a635158df27e44 |
supergpqa | In a certain cylinder, the initial parameters of the air are $p_{1}=8 \mathrm{~MPa,}\; t_{1}=1300°C$. After undergoing a reversible polytropic process, the final state is $p_{2}=0.4 \mathrm{~MPa,}\; t_{2}=400 \mathrm{~}^{\circ} \mathrm{C}$. The gas constant of the air is $R_{g}=0.287\ \mathbf{kJ} / (\mathbf{kg} \cdot\m... | I) $$
6.9kJ/kg
$$ | [
[
"A",
"$$\n8.1kJ/kg\n$$"
],
[
"B",
"$$\n5.5kJ/kg\n$$"
],
[
"C",
"$$\n9.3kJ/kg\n$$"
],
[
"D",
"$$\n5.9kJ/kg\n$$"
],
[
"E",
"$$\n8.5kJ/kg\n$$"
],
[
"F",
"$$\n7.2kJ/kg\n$$"
],
[
"G",
"$$\n6.2kJ/kg\n$$"
],
[
"H",
"$$\n4.7kJ/kg\... | I | $$
6.9kJ/kg
$$ | Engineering | Power Engineering and Engineering Thermophysics | Engineering Thermophysics | hard | eba09a2f348f49b18fff0503d24d4678 |
supergpqa | The boundary particle size between giant grain soil and coarse grain soil in highway soil classification is _____. | J) 60mm | [
[
"A",
"50mm"
],
[
"B",
"10mm"
],
[
"C",
"80mm"
],
[
"D",
"30mm"
],
[
"E",
"200mm"
],
[
"F",
"25mm"
],
[
"G",
"90mm"
],
[
"H",
"5mm"
],
[
"I",
"20mm"
],
[
"J",
"60mm"
]
] | J | 60mm | Engineering | Transportation Engineering | Road and Railway Engineering | easy | 7f06212584564c669413a72423525546 |
supergpqa | Which substance is used as a reference standard to define practical salinity? | B) Potassium chloride | [
[
"A",
"Copper sulfate"
],
[
"B",
"Potassium chloride"
],
[
"C",
"Zinc sulfate"
],
[
"D",
"Barium chloride"
],
[
"E",
"Sodium chloride"
],
[
"F",
"Calcium carbonate"
],
[
"G",
"Lithium chloride"
],
[
"H",
"Sodium bicarbonate... | B | Potassium chloride | Science | Oceanography | Marine Chemistry | middle | ec4aec44381543e7be9ab96073b7ed9d |
supergpqa | Who defined the golden mean as the "moderation of all things"? | J) Euclid | [
[
"A",
"Archimedes"
],
[
"B",
"Thales"
],
[
"C",
"Democritus"
],
[
"D",
"Pythagoras"
],
[
"E",
"Plato"
],
[
"F",
"Aristotle"
],
[
"G",
"Heraclitus"
],
[
"H",
"Epicurus"
],
[
"I",
"Socrates"
],
[
"J",
... | J | Euclid | Philosophy | Philosophy | Ethics | easy | baa72d30788f498f965582d99aec1faa |
supergpqa | 200 tons of peanut oil have been contaminated with aflatoxins and urgently need detoxification. The first-choice measure is ( ). | I) Adding Alkali to Detoxify | [
[
"A",
"Using Vinegar Neutralization"
],
[
"B",
"Charcoal Filtering Process"
],
[
"C",
"Exposure to Sunlight"
],
[
"D",
"White Kaolin Clay Adsorption"
],
[
"E",
"Ultraviolet radiation"
],
[
"F",
"Hydrogen Peroxide Washing"
],
[
"G",
"Bl... | I | Adding Alkali to Detoxify | Medicine | Public Health and Preventive Medicine | Nutrition and Food Hygiene | middle | 4448a50db59846d7b9885cf1271b5a18 |
supergpqa | The deficit caused by the inability of fiscal revenue, including debt revenue, to offset fiscal expenditure is called ( ). | H) hard deficit | [
[
"A",
"structural deficit"
],
[
"B",
"cash flow deficit"
],
[
"C",
"revenue deficit"
],
[
"D",
"debtization of deficit"
],
[
"E",
"operational deficit"
],
[
"F",
"fiscal shortfall"
],
[
"G",
"soft deficit"
],
[
"H",
"hard d... | H | hard deficit | Economics | Applied Economics | Public Finance | middle | c00723f095a44ca8939fea4338a51728 |
supergpqa | Solve the integral:
$$
\int \frac{ 1 }{ \sin(8 \cdot x)^5 } \, dx
$$ | E) C+\frac{1}{128}\cdot\left(2\cdot\left(\tan(4\cdot x)\right)^2+6\cdot\ln\left(\left|\tan(4\cdot x)\right|\right)+\frac{1}{4}\cdot\left(\tan(4\cdot x)\right)^4-\frac{2}{\left(\tan(4\cdot x)\right)^2}-\frac{1}{4\cdot\left(\tan(4\cdot x)\right)^4}\right) | [
[
"A",
"C+\\frac{1}{128}\\cdot\\left(2\\cdot\\left(\\tan(4\\cdot x)\\right)^2+6\\cdot\\ln\\left(\\left|\\tan(4\\cdot x)\\right|\\right)+\\frac{1}{4}\\cdot\\left(\\tan(4\\cdot x)\\right)^4-\\frac{2}{\\left(\\tan(4\\cdot x)\\right)^2}+\\frac{1}{4\\cdot\\left(\\tan(4\\cdot x)\\right)^4}\\right)"
],
[
"... | E | C+\frac{1}{128}\cdot\left(2\cdot\left(\tan(4\cdot x)\right)^2+6\cdot\ln\left(\left|\tan(4\cdot x)\right|\right)+\frac{1}{4}\cdot\left(\tan(4\cdot x)\right)^4-\frac{2}{\left(\tan(4\cdot x)\right)^2}-\frac{1}{4\cdot\left(\tan(4\cdot x)\right)^4}\right) | Science | Mathematics | Mathematical Analysis | hard | 6f536925f22a4015bce0e9870351f565 |
supergpqa | One mole of a monatomic ideal gas initially at a pressure of 2.00 bar and a temperature of 273 K is taken to a final pressure of 4.00 bar by a reversible path defined by p/V = constant. Taking $C_V$ to be equal to $12.5 J mol^{-1} K^{-1}$, the value of $\triangle U/ w$ for this process is calculated to be | G) $$- 3.0$$ | [
[
"A",
"$$+ 2.0$$"
],
[
"B",
"$$- 1.0$$"
],
[
"C",
"$$- 2.0$$"
],
[
"D",
"$$- 4.0$$"
],
[
"E",
"$$+ 3.0$$"
],
[
"F",
"$$+ 1.5$$"
],
[
"G",
"$$- 3.0$$"
],
[
"H",
"$$- 2.5$$"
],
[
"I",
"$$- 1.5$$"
]
] | G | $$- 3.0$$ | Science | Physics | Thermodynamics and Statistical Physics | hard | 40efbcf4af87435892ee546f857d10de |
supergpqa | The differences between meeting minutes and decisions are manifested in:
I. Completely different nature
II. Completely different functions
III. Different content
IV. Different formation process
V. Different document relationships | D) III,IV,V | [
[
"A",
"I,II,V"
],
[
"B",
"I,III,IV"
],
[
"C",
"I,IV,V"
],
[
"D",
"III,IV,V"
],
[
"E",
"II,IV,V"
],
[
"F",
"II,III,IV"
],
[
"G",
"I,III,V"
],
[
"H",
"II,III,V"
],
[
"I",
"I,II,III,IV"
],
[
"J",
"III,V... | D | III,IV,V | Management | Library, Information and Archival Management | Information Management Science | middle | 8daf6a8fe2284c6a90382b99990566c3 |
supergpqa | Two blocks of masses ${m}_{1}={m}_{2}=m$ are connected by a string of neglected mass, which passes over a frictionless pulley fixed on the top of an inclined pane shown in the given figure. When angle of inclination $\theta={30}^{o}$, the mass $m$, just begins to move up the inclined plane. what is the coefficient of f... | C) $$\cfrac { 1 }{ \sqrt { 2 } } $$ | [
[
"A",
"$$\\cfrac { 1 }{ 2\\sqrt { 2 } } $$"
],
[
"B",
"$$\\cfrac { 1 }{2 \\sqrt { 3 } } $$"
],
[
"C",
"$$\\cfrac { 1 }{ \\sqrt { 2 } } $$"
],
[
"D",
"\\cfrac{1}{\\sqrt{3} + 1}"
],
[
"E",
"\\cfrac{1}{2\\sqrt{3} - 1}"
],
[
"F",
"\\cfrac{1}{2\\sqrt{2... | C | $$\cfrac { 1 }{ \sqrt { 2 } } $$ | Engineering | Mechanics | Fundamentals of Dynamics and Control | hard | c91e1aa3560e426ea58ac854abdb000e |
supergpqa | In traditional harmonic progression, the resolution direction of the ninth in a dominant ninth chord is usually | C) Descending by a second to the fifth | [
[
"A",
"Remains unchanged"
],
[
"B",
"Ascending by a second to the root"
],
[
"C",
"Descending by a second to the fifth"
],
[
"D",
"Descending by a second to the root"
]
] | C | Descending by a second to the fifth | Literature and Arts | Musicology | Composition | middle | 7453d15853af46a2a58cf6318df1a4c1 |
supergpqa | Let $A$be a third-order matrix, $\alpha_{1}, \alpha_{2}$ be the eigenvectors of $A$ belonging to the eigenvalues $- 1, 1$ , and vector $\alpha_{3}$ satisfy $A \alpha_{\frac{1} {3}}=\alpha_{\frac{1} {2}}+\alpha_{\frac{1} {3}}$ . Let $P=( \alpha_{1}, \alpha_{2}, \alpha_{3} )$, then what is the value of $P^{-1} A P$ ? | B) $$
P^{-1} A P=\left( \begin{matrix} {{{-1}}} & {{{0}}} & {{{0}}} \\ {{{0}}} & {{{1}}} & {{{1}}} \\ {{{0}}} & {{{0}}} & {{{1}}} \\ \end{matrix} \right)
$$ | [
[
"A",
"$$\nP^{-1} A P=\\left( \\begin{matrix} {{{-1}}} & {{{-1}}} & {{{0}}} \\\\ {{{0}}} & {{{1}}} & {{{1}}} \\\\ {{{0}}} & {{{0}}} & {{{1}}} \\\\ \\end{matrix} \\right)\n$$"
],
[
"B",
"$$\nP^{-1} A P=\\left( \\begin{matrix} {{{-1}}} & {{{0}}} & {{{0}}} \\\\ {{{0}}} & {{{1}}} & {{{1}}} \\\\ {{{... | B | $$
P^{-1} A P=\left( \begin{matrix} {{{-1}}} & {{{0}}} & {{{0}}} \\ {{{0}}} & {{{1}}} & {{{1}}} \\ {{{0}}} & {{{0}}} & {{{1}}} \\ \end{matrix} \right)
$$ | Science | Mathematics | Advanced Algebra | middle | 0315df42edf74eea8c61bb4b2e38c0df |
supergpqa | On which day, month, and year was the Tamil daily newspaper Hindu Tamil Thisai founded? | I) 16 September 2013 | [
[
"A",
"16 September 2017"
],
[
"B",
"16 September 2014"
],
[
"C",
"16 September 2015"
],
[
"D",
"16 September 2019"
],
[
"E",
"16 September 2010"
],
[
"F",
"16 September 2012"
],
[
"G",
"16 September 2018"
],
[
"H",
"16 Sep... | I | 16 September 2013 | Literature and Arts | Journalism and Communication | Journalism and News Practice | easy | ef0644f04edb4a7dbcf70b5ca75f847c |
supergpqa | What is the relationship between the internal force symbols of a beam and the coordinate system? | F) The symbols for shear force and bending moment are independent of the coordinate system. | [
[
"A",
"The symbols for cutting force and flexural stress transform with the system axes."
],
[
"B",
"The symbols for shear load and angular momentum modify the coordinate setup."
],
[
"C",
"The characters for pull strength and bending load adapt to the coordinate setup."
],
[
... | F | The symbols for shear force and bending moment are independent of the coordinate system. | Engineering | Civil Engineering | Structural Engineering | easy | e049548b70e04544957a26e09126d79a |
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