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 Given ${ k }_{ 1 }=1500N/m,{ k }_{ 2 }=500N/m,{ m }_{ 1 }=2kg,{ m }_{ 2 }=1kg$. Find:(a) Potential energy stored in the springs in equilibrium, and(b) work done in slowly pulling down ${m}_{2}$ by $8cm$ ===Choices (a) $0.3J$  (b) $1.5J$ (a) $0.3J$...
(a) $0.4J$  (b) $1J$
general_qa
266
The following is a multiple choice question (with answers). ===Question When using the iodometric method to measure dissolved oxygen in water, the presence of reducing substances in the water can produce ( ). ===Choices Negative enhancement Positive contribution Standard deviation Negative interference Direct contamin...
Negative interference
general_qa
73
The following is a multiple choice question (with answers). ===Question An uncharged capacitor of capacitance $100 \mu F$ is connected  to a battery of emf $20 V$ at t = 0 through a resistance $10\Omega$ at what time at which the rate of energy stored the capacitors is maximum: ===Choices (1 ln 2) ms (3 ln 2) ms (8 ln...
(2 ln 2) ms
general_qa
153
The following is a multiple choice question (with answers). ===Question The choice of standard state affects which of the following sets of physical quantities? ===Choices $$ \rho \,, n^{\Theta} \,, \Delta_{T} S_{m}^{\Theta} $$ $$ V \,, P^{\Theta} \,, \Delta_{\theta} H_{m}^{\Theta} $$ $$ d \,, \eta^{\Theta} \,, \Delta...
$$ a \,, \mu^{\Theta} \,, \Delta_{\tau} G_{m}^{\Theta} $$
general_qa
318
The following is a multiple choice question (with answers). ===Question When the transistor operates in the saturation region, the voltage applied to the emitter junction and collector junction should be__ ===Choices The former is reversed and the latter is reversed The former is biased and the latter is reversed The ...
The former is biased and the latter is biased
general_qa
128
The following is a multiple choice question (with answers). ===Question For the cell at $298$K$Ag(s) | AgBr(s) | Br^-(0.01M) | | I^-(0.02M) | AgI (s) | Ag(s)$the correct information is:[ Given : $Ksp (AgBr) = 4 \times 10^{-13}, Ksp (AgI) = 8 \times 10^{-17}, \dfrac{2.303RT}{F} = 0.06V, log 2 = 0.3$] ===Choices $$E^0_{...
$$E^0_{cell} = 0$$
general_qa
327
The following is a multiple choice question (with answers). ===Question The correct options are I. WHO's principles for chronic disease control and management are based on community, establishing supportive environments, emphasizing personal responsibility, with the medical system as the main focus. II. Occupationally ...
IV, V and VIII
general_qa
246
The following is a multiple choice question (with answers). ===Question The value of $(4!)! $ is $$$620, 448, abc, 733, 239, 439, 360, 000$$$ where $a$ , $b$ , $c$ are digits. What is $100a + 10b + c$ ? ===Choices 402 401 406 404 407 410 405 412 411 403
401
general_qa
135
The following is a multiple choice question (with answers). ===Question $10$ gm of ice at $-20C$ is added to $10$ gm of water at $50C$. Specific heat of water $=1 cal/g-c$. specific heat of ice $= 0.5 cal/gm-C$.Latent heat of ice $= 80 cal/gm$. Then resulting temperature is ===Choices $$15C$$ $$12C$$ $$50C$$ 30C $$0C$...
$$50C$$
general_qa
141
The following is a multiple choice question (with answers). ===Question In which energy region does the resonance absorption of U238 mainly occur? ===Choices Dynamic energy region Intermediate energy region High energy region Slow energy region Moderate energy region Thermal energy region Rapid energy region Effective...
Intermediate energy region
general_qa
75
The following is a multiple choice question (with answers). ===Question Let $Y_{0}=28$, according to the recurrence formula $$ Y_{n} = Y_{n-1} - \frac{1}{100} \sqrt{783} \ \ \ (n = 1, 2, \cdots) $$ calculate up to $Y_{100}$. If $\sqrt{783} \approx 27.982$ (to five significant figures), how much error will there be in t...
$$ Y_{1 0 0} \leqslant\frac{1} {2} \times1 0^{-3} $$
general_qa
462
The following is a multiple choice question (with answers). ===Question What is correctly described about the shared characteristics between Escherichia coli and mouse cells? ===Choices Do not contain linear DNA and ribosomes. Both lack ribosomes and DNA. Both exclusively contain linear DNA and chloroplasts. All conta...
All contain circular DNA and ribosomes.
general_qa
116
The following is a multiple choice question (with answers). ===Question Arrange the following in the order of rate of oxidation with periodic acidI. $HOCH_{2}CH_{2}OH$II. $CH_{3}CHOHCHOHCH_{3}$III. $(CH_{3})_{2} C(OH)C(OH) (CH_{3})_{2}$ ===Choices $$II > III > I$$ $$III > I > II$$ $$II > I > III$$ $$I > II > III$$ $$I...
$$I > II > III$$
general_qa
133
The following is a multiple choice question (with answers). ===Question If the electric charge $q$ is divided into $n$ point charges each with a charge of $\frac{q}{n}$, how much work is done by an external force to move these $n$ point charges from infinity to a metal sphere with radius $R$ and charge $Q$? ===Choices...
$$ \frac{k q Q} {R}+\frac{k q^{2}} {2 R} ( 1-\frac{1} {n} ) $$
general_qa
470
The following is a multiple choice question (with answers). ===Question The peak flow of the historical flood is obtained by _____ ===Choices Mapping the geographical terrain surrounding the river Examining the color and clarity of the water during peak times Estimating using mathematical models of fluid dynamics Meas...
Investigate the relationship curve between water level and discharge of historical peak flood levels based on surveys
general_qa
134
The following is a multiple choice question (with answers). ===Question The autonomic nervous system in cardiovascular regulation belongs to ( ). ===Choices Navigator unit Intervening agent Regulatory network Activation mechanism Feedback module Control information Detection system Sensory apparatus Control system Con...
Control system
general_qa
64
The following is a multiple choice question (with answers). ===Question In the animal classification system, ①family ②phylum ③species ④genus are four different taxonomic ranks. What should be the order from highest to lowest rank? ===Choices 2431 1243 2314 1342 2143 3412 1234 4123 4321 2134
2143
general_qa
108
The following is a multiple choice question (with answers). ===Question Which sociological concept refers to the societal expectations and behaviors associated with one's position in a social hierarchy? ===Choices Social Class Behavioral Norms Group Dynamics Positional Power Cultural Norm Social Division Social Functi...
Social Role
general_qa
73
The following is a multiple choice question (with answers). ===Question An 8K×8-bit dynamic RAM chip has an internal structure arranged in a 256×256 format, with an access cycle of $0.1\mu\mathrm{s}$. What is the refresh interval for the distributed refresh method? ===Choices $$ 4 9. 9 \mu\mathrm{s} $$ $$ 5 4. 2 \mu\m...
$$ 5 1. 2 \mu\mathrm{s} $$
general_qa
230
The following is a multiple choice question (with answers). ===Question What corps was also known as the Druzhina during World War I? ===Choices Ukrainian Legion Polish Legion Russian Volunteer Legion Russian Legion Russian Volunteer Guard Russian Imperial Guard Czechoslovak Legion Russian Guard Russian Volunteer Corp...
Czechoslovak Legion
general_qa
74
The following is a multiple choice question (with answers). ===Question Someone's food intake is 2500 calories/day, of which 1200 calories/day is used for basic metabolism, in fitness exercise, he consumes 16 calories/kg/day multiplied by his weight, assuming that the calories stored in the form of fat are 100% effecti...
$$w \left( t \right)=\frac{3 2 5} {4}+\left( w_{0}-\frac{3 2 5} {4} \right) \mathrm{e}^{-\frac{t} {6 2 5}}$$
general_qa
743
The following is a multiple choice question (with answers). ===Question The solubility of $ BaSO_4 $ in water is 0.00233 g per litre at $ 30^o C $ (atomic weight of Ba = 137). The solubility of $ BaSO_4 $ in $ 0.1 M (NH_4)_2SO_4 $ solution at the same temperature is - ===Choices $$10^{-7} mole /litre$$ $$ 10^{-9} mole...
$$ 10^{-11} mole /litre $$
general_qa
197
The following is a multiple choice question (with answers). ===Question In 1937, after Huang Zi resigned from the post of Dean of Academic Affairs of Shanghai National Conservatory of Music, he concentrated on the compilation of two textbooks, "_______" and "________". ===Choices Ethnomusicology, analysis Musicology, ...
Music history, harmony
general_qa
116
The following is a multiple choice question (with answers). ===Question Let $\alpha_{1}, \ldots, \alpha_{n}$ and $b_{1}, \ldots, b_{n}$ be complex numbes such that $a_{i} \!+\! b_{j} \neq 0$ for all $i, j=1, \ldots, n$ . Define $c_{i j} :={\frac{1} {a_{i}+b_{j}}}$ for all $i, j=1, \ldots, n$ , and let $C$ be the $n\tim...
$$\frac{\prod_{1 \leq i < j \leq n} ( a_{i}-a_{j} ) ( b_{i}-b_{j} )} {\prod_{1 \leq i, j \leq n} ( a_{i}+b_{j} )}$$
general_qa
863
The following is a multiple choice question (with answers). ===Question How many double diminished intervals can be formed within an octave downwards from the note ♯F? ===Choices 2 1 3 4
1
general_qa
43
The following is a multiple choice question (with answers). ===Question Two moles of air,When heated through $10k$ expand by an amount of $1.66 \times {10^{ - 3}}{m^{ - 3}}$ under a constant pressure of ${10^5}N/{m^2}.$ If ${C_v} = 20.81J/mole\,K,$ then $C_p$ is ===Choices $$39.11J/mole\,K$$ $$49.11J/mole\,K$$ $$32.11...
$$49.11J/mole\,K$$
general_qa
242
The following is a multiple choice question (with answers). ===Question Calculate the threshold energy required to produce a $\mathrm{K^{-}}$ meson by bombarding a stationary proton target with a $\pi$ meson. ===Choices $$ 1. 5 5 0 ( \mathrm{G e V} ) $$ $$ 1. 3 9 6 ( \mathrm{G e V} ) $$ $$ 1. 5 0 2 ( \mathrm{G e V} ) ...
$$ 1. 5 0 2 ( \mathrm{G e V} ) $$
general_qa
258
The following is a multiple choice question (with answers). ===Question On what day, month, and year did Frank Schreider, an American explorer, die? ===Choices January 21, 1993 January 21, 1995 January 21, 1992 January 21, 1996 January 21, 1990 January 21, 1997 January 21, 1999 January 21, 1991 January 21, 1994 Januar...
January 21, 1994
general_qa
146
The following is a multiple choice question (with answers). ===Question For a certain oil, at 20°C, the refractive index is 3.2°E, and at 70°C, the refractive index is 1.6°E. Its viscosity-temperature index $\lambda$ is (). ===Choices $$ \lambda=0.06{°C}^{-1} $$ $$ \lambda=0.07{°C}^{-1} $$ $$ \lambda=0.04{°C}^{-1} $$ ...
$$ \lambda=0.02{°C}^{-1} $$
general_qa
249
The following is a multiple choice question (with answers). ===Question A block mass m is kept on an inclined plane of a lift moving down with acceleration of 2 $ms^{-2}$. What should be minimum coefficient of friction to let the block move down with constant velocity? ===Choices \(\mu = 0.6 \) \(\mu = 0.75\) \(\mu = ...
$$\mu = 0.8$$
general_qa
164
The following is a multiple choice question (with answers). ===Question An increase in corporate optimism will have which of the following effects in the market for loanable funds? ===Choices An increase in demand increasing the interest rate. A decrease in demand increasing the interest rate. An increase in supply an...
An increase in demand increasing the interest rate.
general_qa
151
The following is a multiple choice question (with answers). ===Question Phenol test or Reidel walker test is done to determine? ===Choices Effectiveness of a disinfectant in different pH levels Efficiency of a disinfectant Chlorine demand Hardness of water Potency of a disinfectant Effectiveness of a disinfectant Effe...
Efficacy of a disinfectant
general_qa
111
The following is a multiple choice question (with answers). ===Question Triangle $ABC$ has side lengths $AB = 9$ and $AC = 15.$ Points $P$ and $Q$ are on sides $\overline{AC}$ and $\overline{AB}$ respectively, such that $PB = AB$ and $QC = AC.$ If the circumcircle of $\triangle APQ$ passes through the midpoint of $\ove...
204
general_qa
145
The following is a multiple choice question (with answers). ===Question Two wires AO and OC carry currents $i$ as shown in figure. One end of both the wires extends to infinity $\angle AOC$ =$\alpha$, the magnitude of magnetic field at a point P on the bisector of the two wires at a distance $r$ from O is ===Choices ...
$$\dfrac{\mu_{0}i}{2\pi r}\dfrac{\left ( 1+\cos\dfrac{\alpha }{2} \right )}{\sin\left ( \dfrac{\alpha}{2} \right)}$$
general_qa
566
The following is a multiple choice question (with answers). ===Question From the specific rotation of quartz for \lambda = 508.582 nm, \beta = 29.728 Deg/mm , compute the difference in refractive index (n_L-n_R), setting the thickness of the quartz plate = 1 mm. ===Choices 6.4 × 10^-5 10.4 × 10^-5 9.4 × 10^-5 7.2 × 10...
8.4 × 10^-5
general_qa
175
The following is a multiple choice question (with answers). ===Question Which of the following types of data involves counting the number of occurrences of a behavior observed during a specified time period? ===Choices Latency recording Partial-interval recording Momentary time sampling Rate recording Duration recordi...
Event recording
general_qa
77
The following is a multiple choice question (with answers). ===Question In what year did conductor David Randolph receive his master's degree from Columbia University? ===Choices 1944 1949 1948 1943 1942 1947 1940 1946 1941 1945
1942
general_qa
82
The following is a multiple choice question (with answers). ===Question In 1860, the British and French coalition captured Beijing, robbed and burned down the royal garden known as the "Garden of Ten Thousand Gardens" (). ===Choices Yuanmingyuan Purple Bamboo Park Zhongnanhai Old Summer Palace Beihai Temple of Heaven ...
Yuanmingyuan
general_qa
98
The following is a multiple choice question (with answers). ===Question An 82-year-old woman is brought to the physician by her nephew, who lives with her because she has a pessimistic attitude and has displayed overall distrust of her nephew for 1 year. She frequently argues with her nephew and embarrasses him in fron...
Reporting possible elder abuse by phone
general_qa
345
The following is a multiple choice question (with answers). ===Question What surgery should be performed on women with rheumatic heart disease and Grade III heart function, ectopic pregnancy and ruptured right fallopian tube? ===Choices Right tubectomy, left tubal ligation Left adnexectomy, right oophorectomy Left oop...
Right tubectomy, left tubal ligation
general_qa
158
The following is a multiple choice question (with answers). ===Question Let $0<a<b<c<d<e<f<g$ be a geometric sequence of integers. Let $\star(x)$ denote the number of divisors of $x$ . For example, $\star(6)=4$ because $1$ , $2$ , $3$ , and $6$ are the divisors of $6$ . If $\star(a)=7$ , $\star(g)=13$ , and $d-c=432$ ,...
972
general_qa
159
The following is a multiple choice question (with answers). ===Question The process through which humanity understands and transforms the world is one that encompasses innovative development. Human innovative activities are rich in content and manifestation, and can be primarily summarized into two fundamental aspects....
Practical Innovation and Theoretical Innovation
general_qa
144
The following is a multiple choice question (with answers). ===Question A channel samples once every 1/8 second, and the transmission signal has a total of 16 different states. The maximum data transmission rate is (). ===Choices 48b/s 64b/s 96b/s 12b/s 4b/s 8b/s 128b/s 16b/s 32b/s 24b/s
32b/s
general_qa
98
The following is a multiple choice question (with answers). ===Question Vitamin ____ contains metal elements. ===Choices D2 B12 C3 F9 J7 E5 K4 A1 H2 B6
B12
general_qa
54
The following is a multiple choice question (with answers). ===Question The standard reaction Gibbs energies (at pH= 7) for the hydrolysis of glucose-1-phosphate, glucose-6-phosphate, and glucose-3-phosphate are-21, -14, and -9.2 kJ mol. The equilibrium constants for the hydrolyses at 37°C is (). ===Choices $$ 4. 1 \t...
$$ 3. 5 \times1 0^{3};2. 3 \times1 0^{2};{3 6} $$
general_qa
416
The following is a multiple choice question (with answers). ===Question The automobile drive shaft $AB$ made from seamless steel pipe, with an outer diameter $D=90 \, \mathrm{mm}$ and a wall thickness $t=2.5 \, \mathrm{mm}$, is composed of 45 steel, with an allowable shear stress $\left[ \begin{matrix} \tau \\ \end{mat...
$$53.2mm$$
general_qa
237
The following is a multiple choice question (with answers). ===Question A defendant was suspected of having burglarized his neighbor's apartment. The neighbor reported that his apartment had been ransacked and several items of clothing had been stolen. During the course of their investigation, two police detectives wen...
suppress the confession because it was obtained in violation of his Fifth Amendment right to counsel, and the clothing because the search warrant was secured as a result of the confession.
general_qa
588
The following is a multiple choice question (with answers). ===Question _______ refers to the use of artificial methods to control the gender of animals before birth, altering the natural gender ratio of offspring, and thereby producing livestock of a specific gender in accordance with human wishes, significantly enhan...
Gender control
general_qa
96
The following is a multiple choice question (with answers). ===Question Mites are known to transmit- ===Choices Mange Chiggers Sarcoptic mange Scabies Relapsing fever Dermatitis Human babesiosis Lyme disease Acariasis KFD
Scabies
general_qa
62
The following is a multiple choice question (with answers). ===Question For a third-year computer science program at a university, there are 5 elective courses. Students have simultaneously enrolled in the following course pairs: Course 1 and 2, Course 1 and 3, Course 1 and 4, Course 2 and 4, Course 2 and 5, Course 3 a...
3
general_qa
134
The following is a multiple choice question (with answers). ===Question A factory has three self-owned power supplies, which are used only when one fails and disconnects. The failure rate is 0.2*10^-5/hour, then the system is a ____ system. Try to predict the reliability of the factory not experiencing a power outage f...
standby redundancy, 0.9999997
general_qa
238
The following is a multiple choice question (with answers). ===Question In a nautral decay, series starts with $_{90}Th^{232}$ and finally terminates at $_{82}Pb^{208}$. A thorium one sample was found to contain $8\times 10^{-5} $ml of helium at $1$ atm and $273$ K and $5\times 10^{-7}$ gm of $Th^{232}$. Find the age o...
$$t=4.89 \times 10^{9} years$$
general_qa
329
The following is a multiple choice question (with answers). ===Question The national anthem of Austria was composed by ________. ===Choices Mahler Brahms Bruckner Wagner Mozart Beethoven Haydn Offenbach Strauss Schubert
Haydn
general_qa
62
The following is a multiple choice question (with answers). ===Question The novel 'Lake Side Children's Words' tells the story of a suffering family from a child's perspective. Who is the author? ===Choices Mao Dun Lu Xun Wang Tongzhao Bing Xin Xu Dishan Zhou Zuoren Feng Wenbing
Wang Tongzhao
general_qa
76
The following is a multiple choice question (with answers). ===Question In 2015, in what exhibition was Henry Ossawa Tanner's work included? ===Choices African American Artists: 1920-1970s African American Artists in Philadelphia, 1920-1970s: A Century of Creativity African American Artists: 1920-1970 African American...
We Speak: Black Artists in Philadelphia, 1920s-1970s
general_qa
223
The following is a multiple choice question (with answers). ===Question What is Pence's main objective in his article "Will Cloning Harm People?" ===Choices to argue for the potential benefits of cloning to use consequentialist arguments to show that cloning is immoral to use Kant's humanity formulation to show that c...
to object to consequentialist arguments against cloning
general_qa
146
The following is a multiple choice question (with answers). ===Question Using the bisection method to find the root of the equation $$ f(x) = x^{3} + x^{2} - 3x - 3 = 0 $$ The interval $[1, 2]$ is(), where the absolute error must not exceed $10^{-2}$. ===Choices $$ x_{7}=1. 7 0 4 8 5 $$ $$ x_{7}=1. 7 2 6 5 6 $$ $$ x_{...
$$ x_{7}=1. 7 2 6 5 6 $$
general_qa
293
The following is a multiple choice question (with answers). ===Question Since what year has the Bader Award for Organic Chemistry been awarded? ===Choices 1992 1985 1998 1986 1989 1990 1987 1999 1988 1991
1989
general_qa
80
The following is a multiple choice question (with answers). ===Question Set $A=\left( \begin{matrix} {{{1}}} & {{{2}}} & {{{3}}} \\ {{{-1}}} & {{{g}}} & {{{2}}} \\ {{{0}}} & {{{0}}} & {{{1}}} \\ \end{matrix} \right)$, and the eigenvalues of $A$ are 1,2,3, then what is the value of $g$ ? ===Choices $$1 $$ $$2 $$ $$-2 $...
$$4 $$
general_qa
153
The following is a multiple choice question (with answers). ===Question What are the contraindications to extracorporeal shock wave lithotripsy? ===Choices Creatinine level normal, Proximal urinary tract obstruction, No urinary infection, Not pregnant Creatinine >270µmol/L, Proximal urinary blockage with stones, Chron...
Creatinine >265µmol/L, Distal urinary tract obstruction from stones, Acute urinary tract infection, Pregnancy
general_qa
281
The following is a multiple choice question (with answers). ===Question Sports medicine encompasses all of the following fields of study related to sport except (). ===Choices Coaching Strength training and conditioning Massage therapy Rehabilitation services Injury diagnosis and treatment Biomechanics Athletic traini...
Sport psychology
general_qa
73
The following is a multiple choice question (with answers). ===Question A ruby laser is aimed in free space at a target 10,000 Km away. If the laser beam initially is 14 mm in diameter, how large in diameter will the beam be when it hits the target? (\lambda = 694.3 nm) ===Choices 2000 m 1210 m 1310 m 1600 m 1000 m 14...
1210 m
general_qa
135
The following is a multiple choice question (with answers). ===Question The science that studies the fundamental theories, technological processes, production equipment, and quality management of dosage forms and pharmaceutical manufacturing is called ( ). ===Choices Modern Pharmaceutics Biopharmaceutics Pharmaceutica...
Industrial Pharmaceutics
general_qa
89
The following is a multiple choice question (with answers). ===Question A prism of apex angle 72° and refractive index 1.66 is immersed in water, which has an index of refraction of 1.33. Find the angle of minimum deviation. ===Choices 30 degrees 19.5 degrees 25 degrees 18 degrees 22.4 degrees 28 degrees 20 degrees 24...
22.4 degrees
general_qa
106
The following is a multiple choice question (with answers). ===Question At which meeting did the Communist Party of China propose the slogan of collecting folk songs and carry out related work during the struggle against Jinggang Mountain? ===Choices Lushan Conference Xibaipo Conference Zunyi Conference Luding Bridge ...
Gutian Conference
general_qa
96
The following is a multiple choice question (with answers). ===Question What model is usually used for the mathematical model of electrical equipment in the steady-state analysis of power system? ===Choices Linear Impedance Model Constant Impedance Model Variable Current Model Constant Voltage Model Variable Voltage M...
Constant Power Model
general_qa
83
The following is a multiple choice question (with answers). ===Question Which one is suitable for moisture determination using the toluene method? ===Choices Bezoar Foxglove Strychnine Seeds Lilac Licorice Japanese Honeysuckle Ophiopogon japonicus Evening Primrose Red Clover Echinacea
Lilac
general_qa
78
The following is a multiple choice question (with answers). ===Question A container is filled with water ($\mu =$1.33) upto a  height of $33.25 cm$. A concave mirror is placed $15 cm$ above the water level and the image of an object placed at the bottom is formed $25 cm$ below the water level. The focal length of the m...
19 cm
general_qa
134
The following is a multiple choice question (with answers). ===Question A 61-year-old woman comes to the physician because of a constant, dull headache and generalized body pains for the past 8 months. She has also had difficulty hearing from her left side, which started a month after the onset of the headaches. Five m...
Mixed lytic and sclerotic lesions
general_qa
321
The following is a multiple choice question (with answers). ===Question Under light conditions, which of the following plant organs or structures will not have any cells forming chloroplasts? ===Choices Roots of the Peanut Plant The "cotyledon" of soybeans after germination Filaments in Wheat Anthers Seeds of the Rice...
Petals of the Soybean Flower
general_qa
121
The following is a multiple choice question (with answers). ===Question What is the ratio of the aging rate of rocks at the center of the earth to that at the surface, due to the earth's rotation and gravitational effects? What is the ratio of the aging rate of rocks at the midpoint of the radius to that at the surface...
$$ 1+f $$ $$ ( 1+f ) / ( 1+f / 4 ) $$
general_qa
360
The following is a multiple choice question (with answers). ===Question Given that the modulated signal is a single-frequency cosine signal of 8MHz, we assume that channel noise unilateral power spectral density $n_{0}=5 \times10 0^{-1 5} \, \mathrm{W/Hz}$ , channel power loss $\alpha= 50 ~ \mathrm{d B}$ , And the know...
$96\mathrm{M H z},1067 \mathrm{W},16\mathrm{M H z},120\mathrm{W}$
general_qa
498
The following is a multiple choice question (with answers). ===Question A uniformly dense spherical symmetrical cavity, with an inner radius $R$, thickness $H$, total mass $M$, and a rotation period $P$-what is the ratio of the aging rates of rock or air at the center, the inner radius, and the surface due to rotationa...
$$ 1 : \left( 1-\frac{2 \pi^{2} R^{2}} {P^{2} c^{2}} \right) : \left[ 1+\frac{G M} {6 R c^{2}}-\frac{2 \pi^{2} R^{2}} {P^{2} c^{2}} \right] $$
general_qa
886
The following is a multiple choice question (with answers). ===Question Given real numbers $b_0, b_1, \dots, b_{2019}$ with $b_{2019} \neq 0$, let $z_1,z_2,\dots,z_{2019}$ be the roots in the complex plane of the polynomial \[ P(z) = \sum_{k=0}^{2019} b_k z^k. \] Let $\mu = (|z_1| + \cdots + |z_{2019}|)/2019$ be the av...
2019^{-1/2019}
general_qa
364
The following is a multiple choice question (with answers). ===Question The truth table at the bottom of this page gives values for the three Propositional Logic sentences on the right for all possible values of the three proposition constants shown on the left. | p | q | r | p ⇒ q ∨ r | p ⇒ r | q ⇒ r | |-----|-----|--...
No, Yes, No, No, Yes
general_qa
454
The following is a multiple choice question (with answers). ===Question In a container, there are several grams of ice at 0°C. If warm water at a temperature of $t_{1}=30 \mathrm{~°C}$ and mass of $m_{1}=30 \mathrm{~g}$ is poured into the container, the ice melts and the resulting temperature is half of the intended te...
$$5°C,10g$$
general_qa
249
The following is a multiple choice question (with answers). ===Question In which year did the earliest self-organized architectural education in China begin? ===Choices 1895 1945 1950 1905 1920 1923 1960 1935 1910 1980
1923
general_qa
81
The following is a multiple choice question (with answers). ===Question Maximum magnetic moments of $ Cr (Z = 24), Mn^{+} (Z=25),$ and $Fe^{2+} (Z=26), $ are x, y, and z. They are in order: ===Choices z < y < x x = z <y z = y < x x < z = y z < x = y x < y < z x < y = z x = y = z z < x < y x = y < z
x = z <y
general_qa
126
The following is a multiple choice question (with answers). ===Question The indices for the three-phase proportion of soil include: particle density of soil, moisture content, weight, porosity ratio, porosity rate, and saturation. Among these indices, which are the direct experimental indices? ===Choices Particle dens...
Particle density, moisture content, specific gravity
general_qa
162
The following is a multiple choice question (with answers). ===Question Where is the occurrence of a malformed central cusp most common? ===Choices First molars Central incisors Second premolars First incisors Incisors Canines Premolars Molars Third molars Lateral incisors
Premolars
general_qa
66
The following is a multiple choice question (with answers). ===Question What is the formula for calculating the dependence of national debt? ===Choices Fiscal expenditure amount of the year/public debt balance of the year Public debt issuance amount of the year/GDP of the year Public debt balance of the year/fiscal re...
Public debt issuance amount of the year/fiscal expenditure amount of the year
general_qa
168
The following is a multiple choice question (with answers). ===Question In what year did Timothy "Tim" Griffin obtain a political appointment as a Special Assistant to the Assistant Attorney General for the Criminal Division? ===Choices 2000 2004 2005 2002 2003 2009 2008 2007 2001 2006
2001
general_qa
93
The following is a multiple choice question (with answers). ===Question What is the main characteristic of a Continuing Appropriation? ===Choices It emphasizes immediate disbursement of allocated resources It expires at the end of the first fiscal quarter every year It prohibits the rollover of funds into subsequent f...
It becomes available at the beginning of the FY following the appropriation act
general_qa
138
The following is a multiple choice question (with answers). ===Question Fill in the blanks with the appropriate answers: The main memory management jobs for game resources are ________, __________ and __________. ① Memory size limit ② memory allocation ③ access flow setting ④ access guarantee ⑤ memory lock ⑥ memory rel...
②④⑥
general_qa
140
The following is a multiple choice question (with answers). ===Question What is it about international education, which has been formed and developed since the 1960s, that has become the dominant ideology in the formulation of education policies in developing countries and countries? ===Choices Education for all Digit...
Lifelong education
general_qa
96
The following is a multiple choice question (with answers). ===Question What is the chemical component that gives wood its smooth grain tensile strength? ===Choices Keratin Suberin Cellulose Chitin Elastin Glycerol Hemicellulose Collagen Lignin Pectin
Cellulose
general_qa
70
The following is a multiple choice question (with answers). ===Question During the French Renaissance, which writer's work was most influenced by Italian literature? ===Choices Pierre de Lonza Joakim Dubele Marguerite de Navarre François Rabelais
François Rabelais
general_qa
58
The following is a multiple choice question (with answers). ===Question What is the name of the garden in which people can walk around and enjoy? ===Choices window box garden vertical garden rooftop garden rock garden water garden hydroponic garden bonsai garden terrarium garden container garden backyard garden
backyard garden
general_qa
70
The following is a multiple choice question (with answers). ===Question The equation $y =A\cos^2\left(2\pi\, nt -2\pi \dfrac{x}{\lambda}\right)$ represents a wave with ===Choices amplitude $A/2$, frequency $2n$& wavelength $\lambda$ amplitude $A/2$, frequency $n$& wavelength $\lambda/2$ amplitude $A/2$, frequency $n$&...
amplitude $A/2$, frequency $2n$& wavelength $\lambda/2$
general_qa
228
The following is a multiple choice question (with answers). ===Question What is the correct position for examining the spine? ===Choices Sitting Supine Fowler's position Left lateral decubitus Valsalva maneuver Right lateral decubitus Knee-chest position Prone Upright with arms elevated Supine with neck extension
Sitting
general_qa
76
The following is a multiple choice question (with answers). ===Question In order to increase the efficiency of calculation, FFT function is used to calculate cross-correlation in Matlab. How many times does the FFT function need to be called? ===Choices 3 2 5 8 10 6 1 7 9 4
3
general_qa
70
The following is a multiple choice question (with answers). ===Question A man with blood type AB married a woman with blood type A. If the woman's father has blood type O, what genotypes can be expected for their children? ===Choices $1I^{A}I^{B}:1I^{B}i:1I^{B}I^{B}:1I^{O}i$ $1I^{O}i:1I^{A}i:1I^{B}I^{B}:1I^{A}I^{B}$ $...
$1I^{A}I^{A}:1I^{A}i:1I^{A}I^{B}:1I^{B}i$
general_qa
384
The following is a multiple choice question (with answers). ===Question Iggy has a garden with length 234 feet and width 123 feet. Iggy decides to create a sidewalk of constant width around the garden such that the area of the sidewalk is equal to the area of the garden. What is the largest possible distance, in feet, ...
357
general_qa
124
The following is a multiple choice question (with answers). ===Question What is the effect of dissolution of $\mathrm{CaCO_3}$ in seawater on total alkalinity (Alk) and total inorganic carbon (TCO₂) in seawater, respectively? ===Choices Alk increases and TCO₂ decreases. Alk remains constant and TCO₂ increases. Alk rem...
Alk increases and TCO₂ increases.
general_qa
146
The following is a multiple choice question (with answers). ===Question An Anganwadi worker works for population of ===Choices 300-1000 in plain areas 400-700 in plain areas 300-800 in plain areas 400-900 in plain areas 400-1000 in plain areas 400-820 in plain areas 400-850 in plain areas 400-800 in plain areas 300-90...
400-800 in plain areas
general_qa
140
The following is a multiple choice question (with answers). ===Question When the working medium absorbs 50kJ of heat and does 100kJ of work in a certain process, how do the energy and entropy in the working medium change? ===Choices Internal energy reduction; Entropy increase Internal energy reduction; Entropy reducti...
Internal energy reduction; Entropy increase
general_qa
138
The following is a multiple choice question (with answers). ===Question Given positive numbers $a$, $b$, $c$, and $d$, find the minimum value of $$ S = \frac{ a }{ b+c+d }+\frac{ b }{ a+c+d }+\frac{ c }{ a+b+d }+\frac{ d }{ a+b+c }+\frac{ b+c+d }{ a }+\frac{ a+c+d }{ b }+\frac{ a+b+d }{ c }+\frac{ a+b+c }{ d } $$ ===C...
40/3
general_qa
173
The following is a multiple choice question (with answers). ===Question China's national standards for library cataloging of published books include___ cataloging entries in the bibliographic data section. ===Choices seven nine ten four five eleven six eight twelve three
six
general_qa
61
The following is a multiple choice question (with answers). ===Question A 61 year old man undergoes CT scan study of the abdomen for unexplained abdominal distension. Low attenuation intraperitoneal collections with enhancing septae are demonstrated. There is scalloping of the liver border and omental thickening. Which...
Cystadenocarcinoma of the appendix
general_qa
185
The following is a multiple choice question (with answers). ===Question In the process of T cell development in the thymus, the stage at which TCR is expressed earliest is ( ). ===Choices Memory T Cells Naive T cells Double-negative cells Mature T cells Pre-T cell Progenitor T cells Effector T Cells Regulatory T cells...
Double-positive cells
general_qa
89