problem
stringlengths
14
4.09k
solution
stringlengths
1
802k
task_type
stringclasses
3 values
problem_tokens
int64
5
895
The following is a multiple choice question (with answers). ===Question Let ${,{{f}_{n}}{(x)=}{sin}{\frac{x}{n}}}$, then ${,{{f}_{n}}{(x)}}$ on ${(-}{\infty }{,+}{\infty }{)}$ is () ===Choices converges uniformly on the entire real line does not converge converges but not uniformly converges uniformly on a bounded int...
converges but not uniformly
general_qa
140
The following is a multiple choice question (with answers). ===Question Sulphide ion reacts with solid sulphur $$ \mathrm { s } _ { ( \mathrm { aq } ) } ^ { 2 - } + \mathrm { S } _ { ( \mathrm { s } ) } \rightleftharpoons  \mathrm { S } _ { 2 ( \mathrm { aq } ) } ^ { 2 - } ; \mathrm { K } _ { 1 } = 10 $$ $$ \mathrm { s...
11
general_qa
285
The following is a multiple choice question (with answers). ===Question We are search a pattern of size m in a text string of size n using the BM algorithm with BC+GS strategy. What's the time complexity for the best/worst case? ===Choices O(n/m), O(n+m) O(n/m), O(n+m+1) O(n/m), O(m+n+1) O(n/m), O(nm) O(n), O(m+n) O(n...
O(n/m), O(m+n)
general_qa
135
The following is a multiple choice question (with answers). ===Question Who was the first person to use an electric motor to propel a spacecraft? ===Choices Hermann Oberth Konstantin Tsiolkovsky Robert Goddard Gaston Tissandier
Gaston Tissandier
general_qa
56
The following is a multiple choice question (with answers). ===Question Multi-source information fusion is a technology that integrates and matches information from various remote sensing platforms, multi-temporal remote sensing data, and remote sensing data with __________ remote sensing data. ===Choices physical sin...
non-remote
general_qa
73
The following is a multiple choice question (with answers). ===Question Male, 30 years old with pulsatile tinnitus, blue tympanic membrane, conductive hearing loss for 2 years. CT shows a soft tissue mass in the tympanic cavity. The most likely diagnosis is ____. ===Choices Eustachian tube dysfunction, ear popping, pr...
Glomus tumor, exposed internal jugular vein
general_qa
185
The following is a multiple choice question (with answers). ===Question A 68-year-old man is brought to the physician by his wife because she is concerned about his speech being irregular. Specifically, she says that over the last 8 months, her husband has been saying increasingly nonsensical statements at home. In add...
Hyperphosphorylated tau inclusion bodies
general_qa
264
The following is a multiple choice question (with answers). ===Question In radio astronomy, transitions between highly excited states of hydrogen atoms are observed, such as the transition from $n = 109$ to $n = 108$. Try to determine the wavelength and frequency of the radiation from this transition is____. ===Choice...
$$ 5. 8 \mathrm{c m} $$ $$ 5. 1 5 \times1 0^{9} \mathrm{H z} $$
general_qa
449
The following is a multiple choice question (with answers). ===Question The direction of natural processes is from states of ===Choices chaos to equilibrium disorder to equilibrium disorder to organization equilibrium to higher order higher order to lower order lower order to higher order disorganization to organizati...
higher order to lower order
general_qa
69
The following is a multiple choice question (with answers). ===Question A point moves in a straight line so that its displacement $x$ m at time t sec is given by $ x^2= 1+t^2$. Its acceleration in $ m/s^2 $  at a time t sec is: ===Choices $$\cfrac {1} {x} - \cfrac {t^2} {x^3}$$ \cfrac {1} {x} - \cfrac {4t^2} {x^3} \cf...
$$\cfrac {1} {x} - \cfrac {t^2} {x^3}$$
general_qa
274
The following is a multiple choice question (with answers). ===Question A neutral water molecule is placed in electic field $E= 1.25 \times { 10 }^{ 4 } N/C.$ The work done to rotate it by ${ 180 }^{ \circ   }\ is \ 2.5 \times { 10 }^{ -25 }J.$ Find aproximate separation of center of charges. ===Choices $$0.725 \times...
$$0.625\times { 10 }^{ -9 }m$$
general_qa
282
The following is a multiple choice question (with answers). ===Question The part of the cerebral cortex that matures earliest in infants is ___. ===Choices Insular Cortex Hippocampus Parietal Lobe Medulla Oblongata Temporal lobe Brainstem Frontal lobe Amygdala Corpus Callosum Occipital Lobe
Occipital Lobe
general_qa
79
The following is a multiple choice question (with answers). ===Question The system function of an LTI causal system is $$ H ( z )={\frac{1} {z^{2}+z+0. 2 5+A}} $$ , Find the range of values of A that makes the system stable (). ===Choices -0.20<A<0. -0.40<A<0.60 -0.35<A<0.65 -0.30<A<0.70 0<A<1 -1<A<0 -0.10<A<0.80 -0.1...
-0.25<A<0.75
general_qa
176
The following is a multiple choice question (with answers). ===Question A guided wave with an operating wavelength of 8mm is transmitted using a circular waveguide made of copper, with the desired mode being the $TE_{11}$ mode. What are the attenuation constants for the circular waveguide when transmitting in the $\mat...
$$ 1.2 8 \ \mathrm{d B / m} $$ $$ 4. 2 0 1 \times1 0^{3} \mathrm{~ d B / m} $$
general_qa
564
The following is a multiple choice question (with answers). ===Question Frozen-core $\mathrm{SCF} / \mathrm{DZP}$ and CI-SD/DZP calculations on $\mathrm{H}_2 \mathrm{O}$ at its equilibrium geometry gave energies of -76.040542 and -76.243772 hartrees. Application of the Davidson correction brought the energy to -76.2545...
0.9731
general_qa
193
The following is a multiple choice question (with answers). ===Question Given that $$f(n) = \sum_{i=0}^{n} 2^{i} = 2^{n+1} - 1 = \overbrace{1 1 \cdots 1 1}^{n+1 \text{ digits}}$$, compute the C language function $f1$ of $f(n)$ as follows: ```c int f1(unsigned n){ int sum = 1, power = 1; for (unsigned i = 0, i < n - 1; ...
$$ +\infty,126,23 $$
general_qa
434
The following is a multiple choice question (with answers). ===Question Which of the following is a factor affecting the emergence of perceptual states? ===Choices Regress Duration Hormone Levels Advancement Age Adjustment Interval Expansion Era Maturity Phase Formation Years Development Stage Progression Epoch Evolut...
Hormone Levels
general_qa
69
The following is a multiple choice question (with answers). ===Question Given that: $2SO_3(g) \rightarrow 2SO_2(g)+O_2(g)$; $\triangle H^o=+197.8 kj/mol-RXN$ $S(s)+ (\frac { 1 }{ 3 } )O_2(g) \rightarrow SO_3(g)$; $\triangle H^o=-395.7 kj/mol-RXN$ Determine the heat of formation for $SO_2$ ===Choices $$-296.8 kj/mol$$ ...
$$+98.9 kj/mol$$
general_qa
224
The following is a multiple choice question (with answers). ===Question The variation of rate constant 'K' of a chemical reaction with temperature T is observed to follow the expansion: $\ln{K} = \alpha + \beta \ln{\left( T - \frac{\gamma}{T} \right)}$ where $\alpha, \beta, \gamma$ are constants, The Arrhenius activati...
$$\beta RT+\gamma R$$
general_qa
189
The following is a multiple choice question (with answers). ===Question Two particles are initially (at $t=0$) located at a point $A$. Each of them now start to move with the same constant speed $u$, the first particle moving clockwise on a circle of radius $r$ and center $C$ and the second on the straight line $XY$ wh...
$$\cfrac{u^2}{r}$$
general_qa
207
The following is a multiple choice question (with answers). ===Question What is the common urinary system disease in cats? ===Choices Urolithiasis Uremia Glomerulonephritis Diuresis Polyuria Nephrolithiasis Pyelonephritis Hydronephrosis Cystitis Urethral Obstruction
Cystitis
general_qa
80
The following is a multiple choice question (with answers). ===Question A 47-year-old male presented with a 3-month history of chest pain and progressive dyspnea. MRI examination revealed a well-circumscribed soft tissue mass in the right anterior mediastinum, demonstrating moderately high signal intensity on both T1- ...
Thymoma
general_qa
181
The following is a multiple choice question (with answers). ===Question Find the volume of the prism with vertices $A(0,0,0)$, $B(4,0,0)$, $C(4,6,0)$, $D(0,6,0)$, $E(0,0,1)$, and $F(4,0,1)$. ===Choices 24 12 8 16 10 18 20 28
12
general_qa
108
The following is a multiple choice question (with answers). ===Question A $1 \mathrm{~m}^{3}$ adiabatic container is filled with air at the same pressure as the standard atmospheric pressure outside, but the wall of the container has a crack. If the container is slowly heated from 0°C to 20°C, how much heat is absorbed...
$$4.7kJ$$
general_qa
252
The following is a multiple choice question (with answers). ===Question Earliest sign of raised ICT is: ===Choices Silver beaten appearance Thickening of dorsum sella Copper beaten appearance Displacement of dorsum sella Erosion of dorsum sphenoidale Displacement of pineal gland Erosion of dorsum sella Erosion of petr...
Erosion of dorsum sella
general_qa
103
The following is a multiple choice question (with answers). ===Question For the curve $x = a \cdot \left(t - \sin(t)\right)$, $y = a \cdot \left(1 - \cos(t)\right)$, determine the curvature. Use $a = 4$. ===Choices 1/(4*|sin(t/2)|) 1/(16*|sin(t/2)|) 1/(32*|sin(t/2)|) 1/(8*|sin(t/2)|) 1/(28*|sin(t/2)|) 1/(12*|sin(t/2)|...
1/(16*|sin(t/2)|)
general_qa
161
The following is a multiple choice question (with answers). ===Question Which of the following geometric shapes is a typical projection target in map projection technology? ===Choices Cone Sphere Cylinder Rectangle Hexagon Pentagon Octagon
Cylinder
general_qa
52
The following is a multiple choice question (with answers). ===Question If the 101.200.16.0/20 network is divided into 5 subnets, the smallest possible subnet has an allocatable IP address count of (). ===Choices 14 2046 30 126 510 254 6 62 511 1022
254
general_qa
94
The following is a multiple choice question (with answers). ===Question What is volcaniclastic rock? ===Choices The rock created from rapid cooling of lava on the earth's surface is called obsidian. The conglomerate structured by the conglomeration and hardening of several volcanic elements is termed volcanic granite....
The rock formed by the accumulation and consolidation of various volcanic debris is called volcanic breccia.
general_qa
201
The following is a multiple choice question (with answers). ===Question What high school did the architect Richard Meier attend? ===Choices New Jersey High School New York High School Queens High School Columbia High School Brooklyn High School Staten Island High School Columbia Preparatory High School Bronx High Scho...
Columbia High School
general_qa
83
The following is a multiple choice question (with answers). ===Question What is the bore of a 12 bore gun? ===Choices 0.735" 0.726" 0.727" 0.730" 0.721" 0.729" 0.731" 0.725" 0.723" 0.733"
0.729"
general_qa
89
The following is a multiple choice question (with answers). ===Question How many countries does the equator cross? ===Choices 13 15 12 16 10 18 19 14 11 17
14
general_qa
55
The following is a multiple choice question (with answers). ===Question Among the ship's resistance, it belongs to the differential pressure resistance ===Choices Wave resistance and air resistance Frictional resistance and wave resistance Wave-breaking resistance and viscous resistance Compressive resistance and indu...
Viscous resistance and wave resistance
general_qa
98
The following is a multiple choice question (with answers). ===Question When did the Luzhou Linyu Yangtze River Bridge open to traffic? ===Choices 2024 2020 2022 2026 2025 2027 2029 2021 2023 2028
2023
general_qa
83
The following is a multiple choice question (with answers). ===Question The compressibility factor $z=\dfrac{PV}{nRT}$ of a gas above $T=\dfrac{a}{Rb}$ will be: ===Choices Always equal to 0.95 Always equal to 1.05 Always equal to unity Always equal to 0.98 Depends on pressure Always equal to 0 Always greater than Unit...
Always greater than Unity
general_qa
117
The following is a multiple choice question (with answers). ===Question Hydrocortisone injection solvent is (). ===Choices Injection oil ethanol-glycerol-water complex solvent Jojoba oil infusion Dilute ethanol solution Isopropyl alcohol solution Hexane-ethanol blend Dimethyl sulfoxide Fermented ethanol mixture Water ...
Dilute ethanol solution
general_qa
88
The following is a multiple choice question (with answers). ===Question The linear speed $V$ of a particle moving in a circle of radius $R$ varies with time t as $V=V_0-Kt$, where $K$ is a positive constant and $V_0$ is initial velocity. The time at which magnitude of tangential acceleration and angular velocity become...
$$\cfrac {(V_0+KR)} K$$
general_qa
247
The following is a multiple choice question (with answers). ===Question When using the transportation simplex method to solve the transportation problem, the initial solution must ( ). ===Choices involve solely basic variables initially include multiple zero-value allocations require the maximum cost method be calcula...
contain a number of non-zero elements
general_qa
103
The following is a multiple choice question (with answers). ===Question Habrdness of water has a beneficial effect againts which one of the following - ===Choices Renal diseases Respiratory diseases Cerebrovascular accidents Metabolic diseases Cerebrovascular diseases Renal stones Hypertension Metabolic syndrome Cardi...
Cardiovascular diseases
general_qa
82
The following is a multiple choice question (with answers). ===Question Consider the thermodynamic cycle shown on $PV$ diagram. The process $A \to B$ is isobaric, $B \to C$ is and isochoric and $C \to A$ is a straight line process. The following internal energy and heat are given: $\Delta U_{A \to B} = +400kJ$ and $Q_{...
$$-20kJ$$
general_qa
175
The following is a multiple choice question (with answers). ===Question In the shallow sea with uniform hard bottom, the sound speed in the sea water is 1500m/s, and the depth of the sea is 100 meters. What is the horizontal wave number of normal wave No. 1 at a frequency of 1.5kHz? ===Choices $$ \xi_{1}=\sqrt{k^{2}-k...
$$ \xi_{1}=\sqrt{k^{2}-k_{z 1}^{2}} \approx2 \pi $$
general_qa
379
The following is a multiple choice question (with answers). ===Question Select the complex in which metal have primary valency=2, secondary valency=4 and shows stereo-isomerism: ===Choices $$PtCl_3.2NH_3$$ $$PtCl_4.3NH_3$$ $$PtCl_4.2NH_3$$ $$PtCl_3.4NH_3$$ $$PtCl_2.2NH_3$$ $$PtCl_3.3NH_3$$ $$PtCl_2.3NH_3$$ $$PtCl_2.4N...
$$PtCl_4.2NH_3$$
general_qa
137
The following is a multiple choice question (with answers). ===Question We now define an algorithm: The definition of a(n) is the irregularity index of the n-th prime: the number of integers k, where 1 <= k <= (p-3)/2 and p = prime(n), such that the prime p divides the numerator of the Bernoulli number B(2k). Given the...
[0, 0, 1, 1, 2, 1, 0, 0, 0, 1]
general_qa
449
The following is a multiple choice question (with answers). ===Question with respect to the hyperbola $(3x-3y{ ) }^{ 2 }-(2x+2y{ ) }^{ 2 }=36$ ===Choices (3,2) lies on tranverse axis (3,2) lies on directrix (3,2) lies inside hyperbola (3,2) lies on the hyperbola's asymptote (3,2) lies on the hyperbola's focus (3,2) li...
(3,2) lies on conjugate axis
general_qa
181
The following is a multiple choice question (with answers). ===Question in a certain region of free space a non-uniform electric field which depends on x-coordinates is given by $ ec E = E_0 x \hat i$. What is the total amount of electric potential energy contained within the cube of sides of length L as shown below? ...
$$ \dfrac{1}{2} \varepsilon_0 E_0^2 L^5 $$
general_qa
311
The following is a multiple choice question (with answers). ===Question Which of the following descriptions of unlocking and retaining locks in a transaction process is correct? ===Choices The S lock must be retained until the end of the transaction to avoid losing updates; The X blockade can be lifted at any time to ...
The X lock must be retained until the end of the transaction to avoid losing updates; The S blockade can be lifted at any time to increase concurrency.
general_qa
272
The following is a multiple choice question (with answers). ===Question Assuming that the cytoplasm of a diploid plant A is genetically different from that of plant B. In order to study the nuclear cytoplasmic relationship, we want to obtain a plant with A cytoplasm and B genome in the nucleus. How should we proceed? ...
The offspring of AXB continuously backcrossed with B
general_qa
180
The following is a multiple choice question (with answers). ===Question In an industrial process, nitrogen is heated to $500 \mathrm{~K}$ at a constant volume of $1.000 \mathrm{~m}^3$. The gas enters the container at $300 \mathrm{~K}$ and $100 \mathrm{~atm}$. The mass of the gas is $92.4 \mathrm{~kg}$. Use the van der ...
140 $\mathrm{~atm}$
general_qa
264
The following is a multiple choice question (with answers). ===Question What is the main difference between an avalanche and a tumbling rock? ===Choices A wildfire underscores rapid fire spread affecting regions; a rolling pebble mainly demonstrates simple directional rolling. A landslide emphasizes the vertical movem...
A landslide emphasizes the vertical movement process and the hazards it creates; a rolling stone, in addition to its vertical trajectory, also reflects the hazards caused by lateral "rolling".
general_qa
253
The following is a multiple choice question (with answers). ===Question To reduce the viscosity of a polymer melt by half, estimate how much the weight-average molecular weight of the polymer should be reduced. ===Choices 0.816 0.940 0.810 0.980 0.920 0.750 0.890 1.050 0.700 1.020
0.816
general_qa
102
The following is a multiple choice question (with answers). ===Question Microtubules are an important type of cytoskeletal structure. Among the following microtubule-related cellular structures, which group exhibits a similar structural pattern of microtubules? ===Choices Flagella and Spindle Apparatus Elementary Part...
Elementary Particles and Intermediate Particles
general_qa
136
The following is a multiple choice question (with answers). ===Question A gas park in two processes in which it is hcated from the same initial state 1 to the same final temperature. The processes are shown on the P - V diagram by the straight lines $1-3$ and $1-2$. $2$ and $3$ are the points on the same isothermal cur...
$$Q_1\, >\, Q_2$$
general_qa
227
The following is a multiple choice question (with answers). ===Question What is the full name of the solo exhibition Kara Walker had in 2016? ===Choices The Ecstasy of St. Kara Walker The Ecstasy of Kara St. Vincent Walker The Ecstasy of Kara St. Vincenta The Ecstasy of Kara St. Vincen Walker The Ecstasy of Kara St. W...
The Ecstasy of St. Kara
general_qa
130
The following is a multiple choice question (with answers). ===Question Under the Trade Union Act, 1926, for which of the following purposes are the general funds of a registered trade union NOT permitted to be used? ===Choices The conduct of trade disputes on behalf of the trade union or any of its members The paymen...
The maintenance of any person who is a member of any legislative body constituted under the Constitution or any local authority
general_qa
158
The following is a multiple choice question (with answers). ===Question Which fruit tree is known for requiring a specific number of chilling hours to fruit effectively? ===Choices Banana Pineapple Grape Cherry Peach Orange Mango Papaya Lemon Apple
Apple
general_qa
63
The following is a multiple choice question (with answers). ===Question Calculate solubility of $Pb{I}_{2}$ (${K}_{sp}=1/4\times {10}^{-8}$) in water at ${25}^{o}$, which is $90$% dissociated. ===Choices 2.3 \times 10^{-3} \ M $$7.5 \times 10^{-4} \ M$$ 1.8 \times 10^{-3} \ M 1.5 \times 10^{-3} \ M $$1.6 \times 10^{-3...
$$1.6 \times 10^{-3} \ M$$
general_qa
216
The following is a multiple choice question (with answers). ===Question Two spherical planets P and Q have the same uniform density $\rho$, masses $M_P$ and $M_Q$, and surface areas $A$ and $4A$, respectively. A spherical planet R also has uniform density $\rho$ and its mass is $(M_P+M_Q)$. The escape velocities from t...
$$V_P/V_Q=1/2$$
general_qa
201
The following is a multiple choice question (with answers). ===Question According to the composition of the drainage channel, soakaway can be divided into pipe soakaway and what? ===Choices Pressure trench Sand-based soakaway Ground infiltration trench Hole-type soakaway Layered absorption trench Gravel drainage pit P...
Hole-type soakaway
general_qa
79
The following is a multiple choice question (with answers). ===Question When did the "League of Nations" last? ===Choices August 15, 1920 to July 1942 December 22, 1919 to March 1944 April 10, 1919 to October 1945 September 11, 1921 to May 1948 January 17, 1870 to November 1934 February 3, 1922 to September 1941 March...
January 17, 1870 to November 1934
general_qa
203
The following is a multiple choice question (with answers). ===Question When was the first individual business license issued in Wenzhou City? ===Choices 1982 1984 1977 1979 1980 1985 1983 1978 1986 1981
1980
general_qa
80
The following is a multiple choice question (with answers). ===Question For a chemical reaction of the type $A \rightleftharpoons  B,K=2.0$ and $B \rightleftharpoons C,K=0.01$ Equilibrium constant for the reaction $2C \rightleftharpoons  2A$ is ===Choices $$500$$ $$25$$ $$2500$$ $$200$$ $$100$$ $$400$$ $$2000$$ $$50$$...
$$50$$
general_qa
143
The following is a multiple choice question (with answers). ===Question In a rectangular water trough with a width of $a$ and a length of $b$, where the water depth is $h$, determine the possible standing wave frequencies of the fluid. ===Choices $$ \pi\sqrt{\frac{m^{2}} {a^{2}}+\frac{n^{2}} {b^{2}}} $$ $$ \pi\sqrt{\f...
$$ \pi\sqrt{\frac{m^{2}} {a^{2}}+\frac{n^{2}} {b^{2}}} $$
general_qa
376
The following is a multiple choice question (with answers). ===Question An ammeter and a voltmeter are connected in series to an ideal battery of emf $E$. If the ammeter reads $I$ and voltmeter reads $V$, then. ===Choices Ammeter and voltmeter have equivalent resistance $=I/E$ Ammeter and voltmeter have equivalent res...
Ammeter and voltmeter have equivalent resistance $=E/I$
general_qa
176
The following is a multiple choice question (with answers). ===Question For the same material, under a certain drying rate, the thicker the material, the critical moisture content (). ===Choices The minimal The denser The lower The slighter The larger The equal Not necessarily Unchanging The less significant The highe...
The larger
general_qa
71
The following is a multiple choice question (with answers). ===Question The operation of the labor market is influenced by multiple factors. The internal factors affecting labor market operation include ( ).I. Labor priceII. Government policiesIII. Social cultureIV. Labor supply and demand conditionsV. Social organizat...
I,IV
general_qa
113
The following is a multiple choice question (with answers). ===Question If $Cu{ SO }_{ 4 }.{ 5H }_{ 2 }O\left( s \right) \rightleftharpoons Cu{ SO }_{ 4 }.{ 3H }_{ 2 }O\left( s \right) +{ 2H }_{ 2 }O\left( v \right) { K }_{ p }=1.086\times { 10 }^{ -4 }{ atm }^{ 2 }$ at ${ 25 }^{ \circ  }C$. The efflorescent nature of ...
> 7.92 mm
general_qa
263
The following is a multiple choice question (with answers). ===Question Let the continuous function $f(x)$ satisfy: $f(x) - \int_{0}^{x} f(x-t) \, dt = e^x$, then $f(x) = ()$. ===Choices $$\left( x^2+1 \right) \mathrm{e}^{x}$$ $$\left( x+1 \right) \mathrm{e}^{x}$$ $$\left( x+1 \right)^2 \mathrm{e}^{x}$$ $$\left( 2x+1 ...
$$\left( x+1 \right) \mathrm{e}^{x}$$
general_qa
265
The following is a multiple choice question (with answers). ===Question Which of the following are common points between knock combustion in gasoline engines and rough operation in diesel engines?(Choose the option that includes all the correct statements) 1.Both occur at the beginning of the rapid combustion phase. 2....
345
general_qa
146
The following is a multiple choice question (with answers). ===Question Regarding the "new people" portrayed by Turgenev, the correct characters are: I. Lavretsky II. Rudin III. Bazarov IV. Insarov ===Choices Only II Only I I and II and III I and II and IV III and IV II and III Only III II and III and IV I and III I a...
III and IV
general_qa
103
The following is a multiple choice question (with answers). ===Question A stone is thrown vertically upward with a speed of $40 \ m/s$. The time interval for which particle was above $40 \ m$ from the ground is $(g=10 \ m/s^2)$ ===Choices $$3 \ s$$ $$4 \sqrt2 \ s$$ $$8 \ s$$ $$7 \ s$$ $$4s$$ $$2\sqrt2 \ s$$ $$4 \sqrt3...
$$6 \ s$$
general_qa
125
The following is a multiple choice question (with answers). ===Question What is the representative work of Thomas Aquinas? ===Choices Divine Ethics Faithful Teachings Comprehensive Theology Ecclesiast Spiritual Wisdom Universal Dogma Theological Studies Religious Discourses Moral Instructions General Philosophy
Comprehensive Theology
general_qa
70
The following is a multiple choice question (with answers). ===Question Find the area bounded by the spiral r = ln θ on the interval π <= θ <= 2π. ===Choices 5.027 4.81 2.564 1.874 2.931 4.196 3.912 4.456 3.743 2.405
3.743
general_qa
99
The following is a multiple choice question (with answers). ===Question In foreign trade settled in foreign currency, if the foreign currency appreciates against the local currency, the importer will pay more in local currency. This risk is called (). ===Choices Currency fluctuation risk Exchange rate risk Price risk ...
Transaction risk
general_qa
86
The following is a multiple choice question (with answers). ===Question At $1000 \, \text{K}, 101325 \, \text{Pa}$, there is a mixture solution of metals A and B, where the amount of substance for metal A is $n_{\mathrm{A}} = 5000 \, \text{mol}$, and for metal B is $n_{\mathrm{B}} = 40 \, \text{mol}$. It is known that ...
$$ 0. 0 1 0 \ 1 5 $$
general_qa
522
The following is a multiple choice question (with answers). ===Question GPS field data is converted to GIS data using which of the following software? ===Choices ArcSurveyor ArcMap GeoDirector GeoMapper MapConverter ArcScene ArcCatalog EarthPlot MapDesk ArcGlobe
ArcMap
general_qa
63
The following is a multiple choice question (with answers). ===Question What year was the municipality of El Cocuy, Boyacá, Colombia, founded? ===Choices 1544 1542 1540 1541 1543 1545 1547 1546 1538 1539
1541
general_qa
84
The following is a multiple choice question (with answers). ===Question In which month and year did Sir Frederick Lugard organize the West African Frontier Force? ===Choices October 1897 April 1897 May 1897 June 1897 December 1897 August 1897 November 1897 July 1897 September 1897 March 1897
August 1897
general_qa
103
The following is a multiple choice question (with answers). ===Question A flat plate is maintained at a constant temperature of 225°F (107.6°C). Air at 1 atm. and a temperature, T_\infty, of 140°F (60.3°C) moves across this plate at a velocity, U_\infty, of 2.5 ft/sec (0.762 m/sec). Calculate the local heat transfer co...
h_x= 1.77 W/m^2-sec, h= 3.54 W/m^2-sec, Q = 45.7 W
general_qa
532
The following is a multiple choice question (with answers). ===Question The paper copying process must go through four main stages: dehydration, pressing, drying, and ______ before rolling up. ===Choices enhancing cooling compressing bonding heating calendering smoothing packaging soaking trimming
calendering
general_qa
70
The following is a multiple choice question (with answers). ===Question We now define an algorithm: The definition of a(n) is the period length of the sequence of Fibonacci numbers taken modulo n, also known as the Pisano period. Given the input x_list (a series of values): [58, 59, 60, 61, 62, 63, 64, 65, 66, 67], det...
[42, 58, 120, 60, 30, 48, 96, 140, 120, 136]
general_qa
550
The following is a multiple choice question (with answers). ===Question There is a continuously operating rotary vacuum filter, whose production capacity is expressed in (m³ filtrate/h). The amount of filtrate obtained per rotation is expressed as V(m³). If the resistance of the filtering medium can be ignored, which o...
V decreases, Q increases
general_qa
148
The following is a multiple choice question (with answers). ===Question A 45-year-old woman is admitted to the hospital with neck pain. An MRI examination reveals a herniated disk in the cervical region. Physical examination reveals weakness in wrist extension and paranesthesia on the back of her arm and forearm. Which...
C7
general_qa
90
The following is a multiple choice question (with answers). ===Question In digital electronic circuit, when MOSFET is turned on, which region does it worked in? ===Choices insulative region reflective region receptive region conductive region inductive region transitive region absorptive region resistive region produc...
resistive region
general_qa
78
The following is a multiple choice question (with answers). ===Question If a business changes its plans and increases the total amount spent on acquiring new machinery and building new factories, which of the following statements is correct? ===Choices gnp will decrease, but consumption spending will be unaffected gnp...
gnp will rise, but consumption spending will be unaffected
general_qa
152
The following is a multiple choice question (with answers). ===Question Let the random variable \( X \sim N(0, 1) \), and let \( Y = 2X^2 + 1 \). Find the density function \( f_Y(y) \) of \( Y \) ( ). ===Choices \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{2}}, & y > 1 \\ 0, & \text...
\( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{4}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
general_qa
752
The following is a multiple choice question (with answers). ===Question Molar heat capacity of ${CD}_{2}O$ (deuterated form of formaldehyde) vapour at constant pressure is vapour $14cal/K-mol$. The entropy change associated with the cooling of $3.2g$ of ${CD}_{2}O$ vapour from $1000K$ to $900K$ at constant pressure is ...
$$+0.14cal/K$$
general_qa
220
The following is a multiple choice question (with answers). ===Question Which essay collection by Zhang Ailing reflects the influence of British essays? ===Choices One's Own Writing Rumors The Contrast On the Art of Poetry Look Around Nightmare of the Red Chamber
Rumors
general_qa
58
The following is a multiple choice question (with answers). ===Question The driver of a police car hears an echo of the car's siren from a wall toward which the car is moving with a speed of 3.5 m/s. If the speed of sound is 350 m/s and the frequency of the siren is 600 Hz, the driver hears the echo at a frequency near...
612 Hz
general_qa
142
The following is a multiple choice question (with answers). ===Question For a matrix \(A_{n \times n}\), the necessary and sufficient condition for \(r(A) = r < n\) is ===Choices Any \((r + 1)\) column vectors of \(A\) are linearly dependent, but there exists at least one set of \(r\) column vectors that are not linea...
Any \((r + 1)\) column vectors of \(A\) are linearly dependent, while there exist \(r\) column vectors that are linearly independent
general_qa
356
The following is a multiple choice question (with answers). ===Question The inverse Laplace transform of function $\mathrm{F ( s )}=1 / [ \mathrm{s} ( 1+\mathrm{e}^{-s})]$ is ( ). ===Choices $\begin{array} {l} {{{\sum_{n=0}^{+\infty} \left[ u ( t-n )-u ( t-n-1 ) \right]}}} \\ \end{array}$ $\begin{array} {l} {{{\sum_{n...
$\begin{array} {l} {{{\sum_{n=0}^{+\infty} \left[u(t-2n)-u(t-2n-1)\right]}}}\end{array}$
general_qa
511
The following is a multiple choice question (with answers). ===Question The condition for a polymer to undergo forced elastomeric deformation is (). ===Choices Strain energy equals stored potential energy. Deformation speed exceeds polymer viscosity. Cross-link density surpasses glass transition. Shear stress surpasse...
Fracture stress is greater than yield stress.
general_qa
112
The following is a multiple choice question (with answers). ===Question At 298K, a NaCl aqueous solution with a concentration of $5.00 \times 10^{-3} \ mol \cdot kg^{-1}$ is diluted with water to half of its original concentration. The ratio of the mean ionic activity coefficients in the final state to the initial stat...
1.02
general_qa
150
The following is a multiple choice question (with answers). ===Question In which year was the island of New South Greenland, considered to be non-existent, first recorded? ===Choices 1828 1823 1824 1822 1821 1820 1829 1826 1825 1827
1823
general_qa
86
The following is a multiple choice question (with answers). ===Question A coaxial line with inner and outer radii of $a$ and $b$, respectively, is filled with an ideal dielectric with a relative permittivity of 2.25 between the inner and outer conductors. Given $a = 5 \mathrm{~ mm}$, determine the range of operating fr...
$$ 0 < f < f_{m a x}=2. 6 9 \mathrm{~ G H z} $$
general_qa
381
The following is a multiple choice question (with answers). ===Question What are the two parts of the perianth that serve roles such as attracting insects for pollination and protection? ===Choices Ovule, Pollen Stigma, Receptacle Corolla, Calyx Petal, Sepal Leaf, Bud Root, Shoot Anther, Filament Pistil, Ovary Filamen...
Corolla, Calyx
general_qa
97
The following is a multiple choice question (with answers). ===Question What kind of singularity is the point $\infty$ for the function $f(z) = \frac{z-5}{2z+3}$? Find the residue of the function at the point $\infty$. ===Choices Removable pole, $\frac{8 5}{4}$ Essential singularity, $\frac{7 1}{2}$ Jump discontinuity...
Removable singularity, ${\frac{1 3} {4}}$
general_qa
210
The following is a multiple choice question (with answers). ===Question The maturity of cotton fiber refers to the thickening degree of the fiber (). () The thicker, the better the ripeness. ===Choices Microfiber, cell wall Between cells, cell wall Cytoplasm, cytoplasm Cell margin, cell wall Cell wall, microfiber Cell...
Cell wall, cell wall
general_qa
104
The following is a multiple choice question (with answers). ===Question According to the different indices of blast action, blasting can be categorized and the following options are correct: ( ). ===Choices When n < 0.55, for the light blasting; when 0.55 ≤ n < 0.80, for the mitigation of the impact blast. When n < 0....
When n < 0.75, for the loose blasting; when 0.75 ≤ n < 1, for the weakening of the throwing blast.
general_qa
406
The following is a multiple choice question (with answers). ===Question What is a prevalent architectural style in Portugal that results from the combination of local building traditions and European what style? ===Choices Gothic Neobaroque Renaissance Neoclassical Renaissance Baroque Blend Baroque Renaissance Baroque...
Baroque
general_qa
88
The following is a multiple choice question (with answers). ===Question In which of the following diseases may the sucrose hemolysis test be falsely positive? ===Choices thalassemia melanoma hemophilia leukaemia pancreatitis diabetes anaemia tuberculosis hepatitis lymphoma
leukaemia
general_qa
72