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
A 45kN weight is dropped from an airplane, with a requirement that its landing speed does not exceed 10m/s. The weight is suspended under a parachute with a drag coefficient (CD) of 2, disregarding the weight of the parachute and buoyancy. Assuming... | The required diameter of the parachute is 21.85 meters. | general_qa | 240 |
The following is a multiple choice question (with answers).
===Question
Find the zeros of the function $f(x) = \left(1 - \tan(x)\right) \cdot \left(1 + \sin(2 \cdot x)\right) - \tan(x) + \cos(2 \cdot x) - 1$.
===Choices
x_1=\frac{\pi}{4}+\pi\cdot n, x_2=\arctan\left(\frac{1}{4}\right)+\pi\cdot n
x_1=\frac{\pi}{4}+\pi\... | x_1=-\frac{\pi}{4}+\pi\cdot n, x_2=\arctan\left(\frac{1}{2}\right)+\pi\cdot n | general_qa | 317 |
The following is a multiple choice question (with answers).
===Question
A supermarket near your home placed a coupon on your door today. Originally, milk priced at 3 yuan per bag (200ML) will be 2 yuan per bag next week if you use the coupon. Assuming the store has calculated that the price elasticity of demand for cou... | -1.5 | general_qa | 149 |
The following is a multiple choice question (with answers).
===Question
Which of the following statements about current trends in landscaping is incorrect? (Select all incorrect options.)
I. Permeable paving is not suitable for rainwater harvesting as it causes waterlogging.
II. Drought-tolerant plants are rarely reque... | I, II, III, IV, and V | general_qa | 266 |
The following is a multiple choice question (with answers).
===Question
Calculation of real number integral
$$
I = \int_{0}^{2 \pi} \sin^{2n} x \, \mathrm{d}x \, (n \text{ is a natural number})
$$
===Choices
$$
\frac{2 \pi (n!) n (n + 2)}{2^{2n - 1}}
$$
$$
\frac{\pi (2n + 1)!}{2^{2n + 1} (n!)^2}
$$
$$
\frac{4 \pi n! (... | $$
\frac{2 \pi\cdot2 n ( n-1 ) \cdots( n+1 )} {2^{2 n} n!}
$$ | general_qa | 370 |
The following is a multiple choice question (with answers).
===Question
Using the series expansion for the function $(1+x)^m$, calculate approximately $\sqrt[4]{15}$ with an accuracy of 0.0001.
===Choices
1.967
1.9682
1.970
1.9675
1.9685
1.9683
1.968
1.966
1.969
1.965 | 1.968 | general_qa | 115 |
The following is a multiple choice question (with answers).
===Question
In the shown figure, there are two long fixed parallel conducting rails having negligible resistance) and are separated by distance $L$ . A uniform rod(cd) of resistance $R$ and $\operatorname { mass } M$ is placed at rest on frictionless rail. Now... | $$\frac { Q _ { 0 } L B } { M + B ^ { 2 } L ^ { 2 } C }$$ | general_qa | 486 |
The following is a multiple choice question (with answers).
===Question
Motivate the name "screening length" for $\kappa_{\mathrm{s c}}^{-1}$ by finding the electro- static potential of a single ion at rest at the origin of a degenerate, neutral plasma in the Thomas-Fermi approximation is().
===Choices
$$
Z e \operato... | $$
Z e \operatorname{e x p} (-\kappa_{s c} r ) / r ]
$$ | general_qa | 333 |
The following is a multiple choice question (with answers).
===Question
The diameter of a penstock in a hydropower station is $D = 2.5 \mathrm{m}$, with a wall thickness of $e = 25 \mathrm{mm}$. If the steel pipe conveys water from the reservoir to the hydropower station with a pipeline length $L = 2000 \mathrm{m}$, an... | Indirect Water Hammer | general_qa | 195 |
The following is a multiple choice question (with answers).
===Question
What is the centralized representation of the Japanese landscape garden, which is to a large extent a bonsai garden?
===Choices
Yuishiki
Hoshuyama
Zen Garden
Shanshikei
Joryu-en
Niwazumi
Sōseki'en
Zoenkyo
Kanshodo
Shinzensai | Zen Garden | general_qa | 87 |
The following is a multiple choice question (with answers).
===Question
In a fiber optic communication system using coherent detection technology, if the phase noise of the signal is $1 \times 10^{-4}$ radians and the carrier frequency is 200 THz, calculate the phase error caused by the phase noise (radians).
===Choic... | $$2 \times 10^{-10}$$ | general_qa | 201 |
The following is a multiple choice question (with answers).
===Question
Two thin symmetrical lenses of different nature and of different material have equal radii of curvature R=10cm. the lenses are put close together and immersed in water ($\mu w=\frac { 4 }{ 3 } $). The focal length of the system in water is 40 cm. T... | 1/6 | general_qa | 133 |
The following is a multiple choice question (with answers).
===Question
Currently, China's GDP has exceeded ( ) trillion RMB. According to current US dollar prices, China's per capita gross national income (GNI) is 8690 dollars, which falls into ( ).
===Choices
90 trillion RMB, high-income group
70 trillion RMB, upper... | 90 trillion RMB, upper-middle-income group | general_qa | 167 |
The following is a multiple choice question (with answers).
===Question
What does the formation of multiple layers of underground caves indicate?
===Choices
Sedimentary rock expansion.
Mountain range development.
Neotectonic uplift.
Volcanic activity surface.
Atmospheric pressure increase.
Oceanic crust stabilization.... | Neotectonic uplift. | general_qa | 83 |
The following is a multiple choice question (with answers).
===Question
What was the first and last name of Margaret Bourchier, Countess of Bath's first child from her second marriage?
===Choices
Jane Longford
Jane Grey
Jane Lomg
Jane Long
Jane Seymour
Jane Stanley
Jane Howard
Jane Longton
Jane Lang
Jane Bourchier | Jane Long | general_qa | 77 |
The following is a multiple choice question (with answers).
===Question
A competitive firm's demand for labor is determined directly by
===Choices
the wage and the average (physical) product of labor
the cost of production and the sales revenue
the market share of the firm
the average (physical) product of labor and t... | the marginal (physical) product of labor and the output price | general_qa | 115 |
The following is a multiple choice question (with answers).
===Question
A homogeneous rock slope with a height of 25m uses anchor spraying for support. The standard value of the horizontal component of the lateral rock pressure force (i.e., the unit width rock lateral pressure) is 2000kN/m. If the horizontal spacing of... | 800kN | general_qa | 193 |
The following is a multiple choice question (with answers).
===Question
If a firm is in a perfectly competitive product market and factor A is its only variable factor, then the firm's demand curve for factor A is given by which of the following?
===Choices
MFCa curve
MRPa + MFCa curve
All of the above
VMPa * MPPa cur... | VMPa curve | general_qa | 117 |
The following is a multiple choice question (with answers).
===Question
On April 10, the owner of a golf course entered into an oral agreement with a gardener whereby the gardener promised to install all new sprinkler heads on the sprinkler system at the 18-hole golf course. In return, the owner promised to pay the gar... | Half of the sprinkler heads installed by the gardener were determined to be defective, and the gardener refused to replace the sprinkler heads. | general_qa | 482 |
The following is a multiple choice question (with answers).
===Question
During what year was Shirin Neshat given the "Visual Art Award" from the Edinburgh International Film Festival for the first time?
===Choices
2003
1999
2004
1998
1996
1995
2001
2000
1997
2002 | 2000 | general_qa | 93 |
The following is a multiple choice question (with answers).
===Question
If $E_0 = 200$ volt, $R = 25 $ ohm, $L = 0.1 \,H$ and $C = 10^{- 5} F$ and the frequency is variable, then the current at $f = 0$ and $f = \infty $ will be respectively.
===Choices
$0A$ and $0A$
0A and 8A
$8A$ and $8A$
$8A$ and $4A$
4A and 0A
$4A$... | $0A$ and $0A$ | general_qa | 158 |
The following is a multiple choice question (with answers).
===Question
A 60-year-old diabetic male presents to your clinic for right ear pain. The patient reports noting worsening right ear pain for three weeks, purulent otorrhea initially which has resolved, and facial asymmetry for the past several days. He reports ... | Intravenous ciprofloxacin for 6 weeks | general_qa | 300 |
The following is a multiple choice question (with answers).
===Question
After processing for one hour, adding iodine solution will cause the contents of which test tube to turn blue?
===Choices
After thoroughly mixing rice soup with a certain amount of cooled boiled water, place the test tube in water maintained at 37... | After thoroughly mixing rice soup with a certain amount of cooled boiled water, place the test tube in water maintained at 37°C. | general_qa | 281 |
The following is a multiple choice question (with answers).
===Question
Two uniform non conducting balls A and B having radius R but made of different density material (density of A=2 density of B). Ball A is positively charged & ball B is negatively charged. The balls are released on the horizontal smooth surface at t... | $$x=\cfrac { 10R }{ 3 } $$ | general_qa | 253 |
The following is a multiple choice question (with answers).
===Question
A very long conducting straight circular tube has a wall thickness of 5.0 mm and an outer diameter of 50.0 mm, carrying a current of 50 A. The current flows along the axis of the tube and is uniformly distributed across the cross-section of the tub... | $$
1. 7 \times1 0^{2} \mathrm{~A / m}
$$ | general_qa | 337 |
The following is a multiple choice question (with answers).
===Question
A frog sits on the end of a long board of length $L=10cm$. The board rests on frictionless horizontal table. The frog wants to jump to the opposite end of the board. What is minimum take of speed $v$ in $ms^{-1}$ relative to the ground that the fr... | $$0.5\sqrt{2}ms^{-1}$$ | general_qa | 242 |
The following is a multiple choice question (with answers).
===Question
There is a student table: Student (Student ID, Name, Credits). If you want to output the number of students with existing credits in the report, the function that should be used when designing the report is ().
===Choices
=Count([Names])
=Count([S... | =Count([Credits]) | general_qa | 111 |
The following is a multiple choice question (with answers).
===Question
For the reaction $A(g)+B(g)\rightleftharpoons C(g)$ the equilibrium partial pressures $P_{A}=0.15$ atm and $P_{C}=0.30$ atm. When the volume of the reaction vessel was reduced to such an extent that on re-establishing the equilibrium, the partial p... | $$0.30\ atm$$ | general_qa | 191 |
The following is a multiple choice question (with answers).
===Question
The base flow level in the low-flow extension method of the stage-discharge relationship curve is ( )
===Choices
Water level when the flow rate is zero
The lowest point of the riverbed
Water level when zero discharge occurs
Initial water height at... | Water level when the flow rate is zero | general_qa | 116 |
The following is a multiple choice question (with answers).
===Question
Who is the scholar known as the father of sports psychology?
===Choices
John Henry Williams
William Coleman Roberts
Coleman Robert Griffiths
Coleman Robert Griffin
Coleman Robert Griffith
Coleman Roberts Griffith
John Henry Newman
Coleman Roberts ... | Coleman Roberts Griffith | general_qa | 77 |
The following is a multiple choice question (with answers).
===Question
The root mean square (RMS) value of the thermal expansion $\frac{\Delta V}{V}$ of the sodium unit cell at 300K is estimatedly (). The bulk modulus is taken as $7 \times 10^{10} \ \mathrm{erg} \ \mathrm{cm}^{-3}$. Note that the Debye temperature of ... | $$
\frac{\Delta V} {V} \approx0. 0 3 0
$$ | general_qa | 372 |
The following is a multiple choice question (with answers).
===Question
A series LCR circuit with $L=1H, C=1 \mu F$ and $R=40 \Omega$ is connected across a variable frequency a.c source.the angular frequency of the source at which the power transferred to the circuit is half the power at the resonant frequency is
===C... | 800 rad/s | general_qa | 142 |
The following is a multiple choice question (with answers).
===Question
The severity of the X-ray findings is disproportionate to the clinical symptoms. This is characteristic of which type of bone metastasis from the following tumors?
===Choices
Colon cancer bone metastasis
Renal cancer bone metastasis
Stomach cancer... | Thyroid cancer bone metastasis | general_qa | 118 |
The following is a multiple choice question (with answers).
===Question
The vapour pressure of two pure liquids A and B which form an ideal solution are 1000 and 1600 torr respectively at 400 K. A liquid solution of A and B for which the mole fraction of A is 0.60 is contained in a cylinder by a piston on which the pre... | $$X_A= 0.70, X_B= 0.30$$ | general_qa | 306 |
The following is a multiple choice question (with answers).
===Question
The boiling point of $0.1$ molal $K_{4}[Fe(CN)_{6}]$ solution will be $($Given $K_{b}$ for water $=0.52\ K\ kg\ mol^{-1}$)
===Choices
$$100.13 ^{o}C$$
$$100.48 ^{o}C$$
$$100.24 ^{o}C$$
$$100.65 ^{o}C$$
$$100.10 4^{o}C$$
$$102.6 ^{o}C$$
$$101.04 ^{... | $$100.52 ^{o}C$$ | general_qa | 208 |
The following is a multiple choice question (with answers).
===Question
When the bone is damaged, the ( ) has the function of repairing and regenerating bone tissue.
===Choices
joint capsule
elastic cartilage
synovial fluid
periosteal membrane
fibrous layer
cartilage matrix
cortical structure
bone tissue
osteogenic la... | osteogenic layer | general_qa | 76 |
The following is a multiple choice question (with answers).
===Question
At temperature $\theta$, the relative molecular mass of the polymer is determined using the membrane osmotic pressure method. By plotting $\frac{\pi}{R T c}$ against $c$, the slope of the resulting line is obtained is ().
===Choices
= 5
= -10
= 0
... | = 0 | general_qa | 113 |
The following is a multiple choice question (with answers).
===Question
If $\tan 15^\circ \tan 25^\circ \tan 35^\circ =\tan \theta$ and $0^\circ \le \theta \le 180^\circ,$ find $\theta.$
===Choices
10
35
15
45
25
5
20 | 5 | general_qa | 87 |
The following is a multiple choice question (with answers).
===Question
Most common symptom of Wernicke's encephalopathy
===Choices
Confusion
Delirium
Hypothermia
Seizures
Dizziness
Cognitive impairment
Ataxia
Hypertension
Ocular changes
Disorientation | Confusion | general_qa | 69 |
The following is a multiple choice question (with answers).
===Question
What is the major component of the alveolar lumen in acute pulmonary bruising?
===Choices
Alveolar macrophages
Fibrinogen
Lysozyme
Pulmonary surfactant
Heart failure cells
Lymphatic fluid
Plasma proteins
Neutrophils
Yi Red Swelling Fluid
Mucus | Yi Red Swelling Fluid | general_qa | 86 |
The following is a multiple choice question (with answers).
===Question
We now define an algorithm: The definition of a(n) is the sequence generated by the positions of bell 1 (the treble bell) in the n-th permutation of the Plain Bob Minimus change-ringing method, a traditional sequence of permutations in bell-ringing... | [2, 3, 4, 4, 3, 2, 1, 1, 2, 3] | general_qa | 452 |
The following is a multiple choice question (with answers).
===Question
What are some of the operations in plate tower operation that may have non-ideal flow?
===Choices
Excessive liquid foaming, excessive vapor escape, serious heat loss, uneven pressure distribution due to liquid viscosity difference
Excessive mist e... | Excessive mist entrapment, excessive bubble entrapment, serious liquid leakage, uneven gas distribution due to liquid level difference | general_qa | 264 |
The following is a multiple choice question (with answers).
===Question
The number of tangents to the cure $x^{3/2}+y^{3/2}=2a^{3/2}, a> 0$, which are equally inclined to the axes, is
===Choices
6
1
2
4
0
3
5 | 1 | general_qa | 74 |
The following is a multiple choice question (with answers).
===Question
We know that the function $y=y \left(x \right)$ satisfies $x \left( \operatorname{l n} x-1 \right) y^{\prime} \left( x \right)+\left( 3-\operatorname{l n} x^{2} \right) y \left( x \right)=0, \quad x > e, \, \mathrm{ and} \, y \left( \mathrm{e}^{2} ... | $$e^3$$ | general_qa | 211 |
The following is a multiple choice question (with answers).
===Question
When the stem of a woody plant increases in thickness, the part where the number of cells increases most significantly is______?
===Choices
Cortex
Apical meristem
Secondary xylem
Pith
Primary phloem
Secondary phloem
Vascular cambium
Periderm
Later... | Secondary xylem | general_qa | 87 |
The following is a multiple choice question (with answers).
===Question
For ({x_0} = 0), (mathop {lim }limits_{x to {x_0}} f(x) = left{ {matrix{ { { 1 over {1 + {e^ { { 1 over x}}}}}quad ,x ne 0} cr {0quad ,x = 0} cr } } right.), which of the following options is satisfied?
===Choices
(f(x)) is left-continuous but not... | (f(x)) is right-continuous but not left-continuous at ({x_0}) | general_qa | 309 |
The following is a multiple choice question (with answers).
===Question
Assuming that there are 2 billion yuan in cash in circulation, 10 billion yuan in deposits, 3 billion yuan in reserves in an economy, and the legal deposit reserve ratio is 0.2, then the excess deposit reserves and money multiplier held by commerci... | 1 billion and 2.4 | general_qa | 162 |
The following is a multiple choice question (with answers).
===Question
Consider a flat plate at an angle of attack in an inviscid supersonic flow. From linear theory, what is the value of the maximum lift-to-drag ratio, and at what angle of attack does it occur?
===Choices
$$\frac{1} {\alpha^2}$$
$$\frac{1} {\sqrt{\a... | $$
\frac{1} {\alpha}
$$ | general_qa | 187 |
The following is a multiple choice question (with answers).
===Question
Which of the following is the effect of molecular chain compliance and molecular weight on viscoflow temperature?
===Choices
The greater the rigidity of the molecular chain, the lower the viscous flow temperature; the smaller the molecular weight,... | The greater the flexibility of the molecular chain, the lower the viscous flow temperature; the larger the molecular weight, the higher the viscous flow temperature. | general_qa | 350 |
The following is a multiple choice question (with answers).
===Question
With a 1% horizontal adjustment deviation in a metal rings, the measurement result error introduced is ( ).
===Choices
0.8%
1.4%
1.6%
0.7%
0.3%
2.5%
1.2%
2%
1%
0.5% | 0.5% | general_qa | 74 |
The following is a multiple choice question (with answers).
===Question
Compute the mean deviations and dispersions produced by a crown prism of apex angle 10° and a flint prism of apex angle 10°. Assume the indices of refraction for crown and flint glass to be approximately 1.508 and 1.620, respectively. The dispersiv... | Flint glass: mean deviation 6.20°, dispersion 0.192°; Crown glass: mean deviation 5.08°, dispersion 0.091° | general_qa | 532 |
The following is a multiple choice question (with answers).
===Question
Ethics and planning approvals are taken in
===Choices
Institutional review practice
Institutional review board practice
Institutional health review practice
Individual practice
Solo practice
Community health practice
Group practice
Public health p... | Public health practice | general_qa | 75 |
The following is a multiple choice question (with answers).
===Question
When Company Z outsourced its manufacturing process to a local enterprise, in order to prevent potential quality issues, they started training the other company's process technicians and quality inspectors before the production line was even built.... | Feed-forward control | general_qa | 88 |
The following is a multiple choice question (with answers).
===Question
Moist air with a pressure of \( $p_{1} = 0.1 \ \text{MPa}$ \), temperature \( $t_{1}$ = $30 \ \text{°C}$ \), and relative humidity \( $\varphi_{1} = 0.7$ \) undergoes reversible polytropic compression in the compressor to \( $p_{2} = 0.8 \ \text{MP... | 100%
6.56 × 10⁻³ kg (water vapor)/kg (dry air) | general_qa | 442 |
The following is a multiple choice question (with answers).
===Question
The isohyetal method for calculating average rainfall is not suitable for ( ) areas.
===Choices
Excessive urban development areas
Coastal regions with strong winds
The terrain is quite rugged.
There are not many rain gauge stations.
Very high alti... | There are not many rain gauge stations. | general_qa | 100 |
The following is a multiple choice question (with answers).
===Question
For the reaction, $2NO(g)+O_2(g)\to 2NO_2(g); \Delta H=-35.0\ kcal $ at $300\ K$ If $6.0$ moles of $NO$ reacts with $3.0$ moles of $O_2$ at constant pressure of $1.0$ atm and temperature $300\ K$ to from $NO_2$, then the correct statement(s) is/are... | The internal energy of system decreased by $1.8\ kcal$ | general_qa | 280 |
The following is a multiple choice question (with answers).
===Question
A 32-year-old male patient presents with burning pain in the stomach, heartburn, dry and bitter mouth, thirst but unwilling to drink, sweet and sticky mouth, poor appetite and nausea, heavy body and fatigue, yellow urine, and constipation. The tong... | Damp-heat obstructing the middle, stomach qi stagnation | general_qa | 227 |
The following is a multiple choice question (with answers).
===Question
What is a key issue that must be addressed when using underground mining methods?
===Choices
lighting adequacy
labor shortages
hazardous gas release
seismic activity
air pollution
noise pollution
surface subsidence
dust management
equipment malfun... | surface subsidence | general_qa | 73 |
The following is a multiple choice question (with answers).
===Question
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be ${ 75 }^{ 0 }$C. T is given by : (... | $800^{ 0 }$C | general_qa | 233 |
The following is a multiple choice question (with answers).
===Question
What is the percentage of Carbonate in sandstone more than which if present, should be acidized with HCl only?
===Choices
18%
12%
5%
22%
20%
10%
15%
25%
28%
30% | 20% | general_qa | 71 |
The following is a multiple choice question (with answers).
===Question
The psychologist who proposed mature determinism is ___.
===Choices
Bandura
Watson
Erikson
Maslow
Vygotsky
Freud
Gesell
Piaget
Adler
Skinner | Gesell | general_qa | 60 |
The following is a multiple choice question (with answers).
===Question
The Japanese began to make their own films in _______.
===Choices
1899
1912
1905
1910
1920
1901
1918
1915
1903
1907 | 1899 | general_qa | 78 |
The following is a multiple choice question (with answers).
===Question
The normal boiling point of water is 373$\mathrm { K }$ . Vapour pressure of water at temperature $T$ is 19 $\mathrm { mm }$ Hg. If enthalpy of vaporisation is $40.67 \mathrm { kJ } / \mathrm { mol } ,$ then temperature $T$ would be (Use $: \log 2 ... | 250$\mathrm { K }$ | general_qa | 231 |
The following is a multiple choice question (with answers).
===Question
The dissociation energy of a hydrogen molecule is 4.478 eV, and the dissociation energy of a hydrogen molecular ion is 2.651 eV. Based on this information, calculate the first ionization energy of the hydrogen molecule ().
===Choices
13.894
12.129... | 15.425 | general_qa | 125 |
The following is a multiple choice question (with answers).
===Question
What was the name of the play in which American music producer George Avakian was an associate producer in 1965?
===Choices
The Fantasticks
The Music of the Night
The Music Man
The Sound of Music
The Cradle Will Rock | The Cradle Will Rock | general_qa | 69 |
The following is a multiple choice question (with answers).
===Question
What is the academic term for a character in literature who possesses unique and charming traits?
===Choices
Character motif.
Imaginative construct.
Literary archetype.
Dramatic embodiment.
Trait exemplar.
Literary figurehead.
Fictional persona.
T... | Literary archetype. | general_qa | 80 |
The following is a multiple choice question (with answers).
===Question
What was Clarence Darrow's belief about life's meaning?
===Choices
Life was uncertain but ultimately rewarding.
Life was not worthwhile.
Life was meaningful for most people.
Life was a cosmic joke without real meaning.
Life was hard but worthwhile... | Life was not worthwhile. | general_qa | 114 |
The following is a multiple choice question (with answers).
===Question
Time period of oscillation of magnet of magnetic moment M and moment of inertia I in a vertical plane perpendicular to the magnetic meridian at a place where earth's horizontal and vertical component of magnetic field are $B_h$ and $B_v$ respective... | $$T= 2 \pi \sqrt{\dfrac{1}{MBv}}$$ | general_qa | 280 |
The following is a multiple choice question (with answers).
===Question
Two charges $Q_1 = 18 \mu C$ and $Q_2 = - 2 \mu C$ are separated by a distance R, and $Q_1$ is on the left of $Q_2$. The distance of the point where the net electric field is zero is :
===Choices
right of $Q_2$ at R/3
right of $Q_2$ at R/4
left of... | right of $Q_2$ at R/2 | general_qa | 202 |
The following is a multiple choice question (with answers).
===Question
In euclidean space $R^{4}$ , there is a unit vector that is orthogonal to $\alpha_{1} \!=\! ( 1, 1, 0, 0 ), \ \ \alpha_{2} \!=\! ( 1, 1, \ -1, \ -1 ), \ \ \alpha_{3} \!=\! ( 1, \ -1, 1, \ -1 )$ , so what is this vector?
===Choices
$$
\varepsilon=\... | $$
\varepsilon=\left( \frac{1} {2},-\frac{1} {2},-\frac{1} {2}, \frac{1} {2} \right)
$$ | general_qa | 573 |
The following is a multiple choice question (with answers).
===Question
Given a particular solution of a certain second-order linear non-homogeneous differential equation, $y_{1}=x, \; y_{2}=\sin x, \; y_{3}=\cos 2x$, then the general solution of this equation is ____.
===Choices
$y=c_{1} ( x+\operatorname{s i n} 2 x ... | $y=c_{1} ( x-\operatorname{s i n} x )+c_{2} ( x-\operatorname{c o s} 2 x )+x$ | general_qa | 471 |
The following is a multiple choice question (with answers).
===Question
Which process is commonly used to treat drinking water?
===Choices
Distillation
Sedimentation
Filtration
Fermentation
Desalination
Sublimation
Evaporation
Carbonation
Pasteurization
Chlorination | Filtration | general_qa | 64 |
The following is a multiple choice question (with answers).
===Question
A tenant was broke and needed money to pay her rent.
The tenant recalled that one of her neighbor's had admired a painting she owned. The tenant asked the neighbor if he would be interested in buying the painting. The painting was worth $10,000, bu... | Only the statute of frauds. | general_qa | 322 |
The following is a multiple choice question (with answers).
===Question
When measuring vibration with a piezoelectric accelerometer, its usable frequency range is generally ( ) of its natural frequency.
===Choices
15%
60%
50%
55%
40%
25%
35%
45%
30%
20% | 30% | general_qa | 71 |
The following is a multiple choice question (with answers).
===Question
The hybrid states of carbon atoms in ${(\overset{B}CN)_4}\overset{A}{C_2}$ are A and B and number of $\pi$ bonds in compound is C. Then?
===Choices
$A=sp^3, B=sp$, and $C=9$
$A=sp, B=sp^2$ and $C=9$
$$A=sp^3, B=sp^2, and C=9$$
$$A=sp^2, B=sp^3, an... | $A=sp^3, B=sp$, and $C=9$ | general_qa | 204 |
The following is a multiple choice question (with answers).
===Question
The plateau slope of the Geiger-Müller counter tube is 5%, with a plateau length of 250 volts. When the operating voltage is higher than or at 175 volts, compared to higher than or at 50 volts, by how much does the count rate increase?
===Choices
... | 2.5% | general_qa | 119 |
The following is a multiple choice question (with answers).
===Question
Lactose operon does contain ( ).
===Choices
suppressor
activator
catalyst
oscillator
stabilizer
terminator
reinforcer
initiator
amplifier
energizer | suppressor | general_qa | 60 |
The following is a multiple choice question (with answers).
===Question
The ground state of a real helium atom is, of course, non-degenerate, but let's consider a hypothetical helium atom where the two electrons are replaced by two identical particles with spin 1, each carrying a unit negative charge. Ignoring forces r... | $$
6
$$ | general_qa | 152 |
The following is a multiple choice question (with answers).
===Question
Place a glass rod with a refractive index of 1.50, a diameter of $8.0 \times 10^{-2} \mathrm{m}$, and a convex hemispherical end face into a liquid. An object is located $6.0 \times 10^{-1} \mathrm{m}$ from the end face along the rod's axis and for... | 1.35 | general_qa | 169 |
The following is a multiple choice question (with answers).
===Question
The correct set of four quantum number for the valence electron of Kr$\left( Z=36 \right) $ having highest value of $\left( n+1 \right) $
===Choices
5,1,0,-\dfrac{1}{2}
$$4,1,-1,0$$
$$4,2,-2,-\dfrac { 1 }{ 2 } $$
5,0,0,-\dfrac{1}{2}
$$4,1,-1,\dfra... | $$5,0,0,\dfrac { 1 }{ 2 } $$ | general_qa | 201 |
The following is a multiple choice question (with answers).
===Question
One ens of uniform glass capillary tube of radius r = 0.025 cm is immersed vertically in water if a depth h = 1 cm. The excess pressure in N/m$^{2}$ requrired to blow an air bubble out of the tube is [Surface tension of water = $7\times 10^{-2}$Nm.... | $$0.0048\times 10^{5}$$ | general_qa | 296 |
The following is a multiple choice question (with answers).
===Question
When an ultrasonic field is established in a molten quartz acousto-optic medium (n=1.54) with an ultrasound frequency of $f_{s}=40 \text{ MHz}$, calculate the angle of incidence $\theta$ at which incident light with a wavelength of $\lambda=1.06 \m... | $$
2. 3 1 \times1 0^{-3}
$$ | general_qa | 280 |
The following is a multiple choice question (with answers).
===Question
The pH of a solution containing $0.1\,M\,CH_3COONa$ and $0.1\,M\,(C_2H_5COO)_2Ba$ will be:
$$[K_a(CH_3COOH)=2 \times 10^{-5}, k_a (C_2H_5COOH)=8 \times 10^{-6}]$$
===Choices
$$8.13$$
$$8.24$$
$$7.94$$
$$8.71$$
$$9.02$$
$$9.24$$
$$11.1$$
$$8.16$$
$... | $$8.13$$ | general_qa | 176 |
The following is a multiple choice question (with answers).
===Question
All of the following Vibrio species are halophilic except
===Choices
V. vulnificus
V. cholerae
V. flolis
V. floris
V. mimicus
V. alginolyticus
V. parahemolyticus | V. cholerae | general_qa | 74 |
The following is a multiple choice question (with answers).
===Question
Which of the following statements are true concerning the autocorrelation function (acf) and partial autocorrelation function (pacf)?
i) The acf and pacf will always be identical at lag one whatever the model
ii) The pacf for an MA(q) model will in... | (i), (ii), and (iii) only | general_qa | 217 |
The following is a multiple choice question (with answers).
===Question
Assuming $\gamma_e=2$ for the Earth's core, estimate $C_e$ for iron at T=4000°K and P=2 megabars ($2\times10^{11}$ Pascal).
===Choices
$C_e = 165$ J/kg·K
$C_e = 150$ J/kg·K
$C_e = 163$ J/kg·K
$C_e = 158$ J/kg·K
$C_e = 155$ J/kg·K
$C_e = 162$ J/kg·... | $C_e = 160$ J/kg·K | general_qa | 205 |
The following is a multiple choice question (with answers).
===Question
A blood loss equivalent to _______ of the total blood volume can lead to shock and might even be life-threatening.
===Choices
25%
15%
35%
20%
50%
40%
5%
10%
30%
45% | 30% | general_qa | 69 |
The following is a multiple choice question (with answers).
===Question
The density of a liquid at $0^{\circ} C $ is $d_{0} $ and the density is $d_{t}$ at $t^{\circ} C $. The coefficient of real expansion of the liquid is $\gamma_{R}$ and the coefficient of apparent expansion of the same liquid in a container is $ \ga... | $$d_{t} = d_{0} (1 + \gamma_{R} t)$$ | general_qa | 328 |
The following is a multiple choice question (with answers).
===Question
Right triangle $ABC$ has right angle at $C$ and $\angle BAC =\theta$; the point $D$ is chosen on $AB$ so that $|AC|=|AD|=1$; the point $E$ is chosen on $BC$ so that $\angle CDE = \theta$. The perpendicular to $BC$ at $E$ meets $AB$ at $F$. Evaluate... | \frac{1}{3} | general_qa | 187 |
The following is a multiple choice question (with answers).
===Question
The value of a worker in the labor market depends on all supply and demand factors that affect the margin ().
===Choices
cost
employment rate
wage level
productivity
market size
economic conditions
investment growth
profit rate
revenue
job securit... | productivity | general_qa | 68 |
The following is a multiple choice question (with answers).
===Question
A three-phase induction motor operates on a power grid with $\mathrm{U}_{\mathrm{N}}=380 \, \mathrm{V}$ and $\mathrm{f}=50 \, \mathrm{Hz}$, with its stator windings connected in a delta (triangle) configuration. It is known that the electromotive f... | 0.0053wb | general_qa | 241 |
The following is a multiple choice question (with answers).
===Question
Which of the following is the most important condition that a normal forest should meet?
===Choices
Normal species diversity
Normal rainfall pattern
Normal wildlife population
Normal soil composition
Normal growing stock
Normal tree height growth
... | Normal age-class distribution | general_qa | 73 |
The following is a multiple choice question (with answers).
===Question
In the process of oil and gas transportation, what is the main purpose of employing "boosting" measures?
===Choices
Decrease operational costs
Reduce energy consumption
Reduce Leakage
Lower transmission resistance
Enhance fluid compatibility
Incre... | Increase conveying distance | general_qa | 81 |
The following is a multiple choice question (with answers).
===Question
Which of the following statements about DNA or RNA is true?
===Choices
RNA serves as the template for protein synthesis.
mRNA functions solely as a storage molecule for DNA.
All DNA will be translated into proteins.
Only a single ribosome can func... | Multiple ribosomes can bind to a single mRNA strand. | general_qa | 132 |
The following is a multiple choice question (with answers).
===Question
The water temperature is $50 \mathrm{^\circ~F}$, and the water pump transfers water between reservoirs A and B. The water surface elevations are 5910 ft and $6060 \mathrm{~ft}$, respectively. The pump operates with a flow rate of $20 \mathrm{ft}^{3... | $$
1 0. 5 {\mathrm{f t}}
$$ | general_qa | 290 |
The following is a multiple choice question (with answers).
===Question
Powder of various ferrous and non-ferrous materials that become brittle on heating can be formed using ___.
===Choices
Grinding
Molding
Sintering
Melting
Welding
Casting
Smelting
Crushing
Shredding
Cutting | Crushing | general_qa | 73 |
The following is a multiple choice question (with answers).
===Question
Who is the French painter that created 'Spring Song'?
===Choices
Jean-Baptiste-Camille Corot
Pierre-Auguste Renoir
Claude Monet
Gustave Courbet
William Adolphe Bouguereau | William Adolphe Bouguereau | general_qa | 65 |
The following is a multiple choice question (with answers).
===Question
Satisfy the differential equation of $y^{\prime\prime}-y=\mathrm{e}^{x}+4 \operatorname{c o s} x,$L is( ), make the curve at the point of $(0, 1)$and curve $y=x^{2}-x+1$ tangent.
===Choices
$$y={\frac{3} {5}} \mathrm{e}^{x}+{\frac{9} {4}}\mathrm{e... | $$y={\frac{3} {4}} \mathrm{e}^{x}+{\frac{9} {4}}\mathrm{e}^{-x}+{\frac{1} {2}} x \mathrm{e}^{x}-2 \operatorname{c o s} x$$ | general_qa | 725 |
The following is a multiple choice question (with answers).
===Question
Within an octave of natural intervals, how many dissonant intervals are there?
===Choices
5
3
6
4 | 5 | general_qa | 40 |
The following is a multiple choice question (with answers).
===Question
Use metallic zinc to react with hydrochloric acid to produce hydrogen. At 25°C, the hydrogen is collected by the water displacement method. The gas pressure in the gas collecting bottle is 98.70 kPa (the saturated vapor pressure of water at 25°C is... | 6.30 | general_qa | 156 |
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