id stringlengths 6 20 | source stringclasses 6
values | instruction stringlengths 11 5.18k | input stringlengths 0 306 | output stringlengths 1 308 | rationale stringlengths 0 2.9k | subject stringclasses 39
values | category stringclasses 7
values |
|---|---|---|---|---|---|---|---|
NLP4Education_799 | NLP4Education | Determine which of the following conditional statements evaluate to true (more than one answer can be correct):
A. If 5-7 < 0, then 3-7>0
B. If 5-7 > 0, then 3-7>0
C. If 5-7 < 0, then 3-7<0
D. If 5-7 > 0, then 3-7<0 | C. If 5-7 < 0, then 3-7<0 | formal_logic | mathematics | ||
allenai/sciq_1408 | allenai/sciq | Light is energy that travels in the form of what type of wave?
A. seismic
B. particle
C. molecular
D. electromagnetic | D. electromagnetic | Light is one type of electromagnetic radiation . Light is energy that travels in the form of an electromagnetic wave. Figure below shows a diagram of an electromagnetic wave. An electromagnetic (EM) wave has two parts: an electric field and a magnetic field. The electric and magnetic fields vibrate up and down, which m... | high_school_physics | physics | |
mmlu_aux_train_99766 | mmlu_aux_train | What does the earth orbit that causes the seasons to change?
A. venus
B. pluto
C. neptune
D. plasma star | D. plasma star | astronomy | physics | ||
allenai/sciq_2530 | allenai/sciq | What do fungi produce to digest nutrients?
A. exoenzymes
B. sporozoans
C. pores
D. amino | A. exoenzymes | The ability of fungi to degrade many large and insoluble molecules is due to their mode of nutrition. As seen earlier, digestion precedes ingestion. Fungi produce a variety of exoenzymes to digest nutrients. The enzymes are either released into the substrate or remain bound to the outside of the fungal cell wall. Large... | high_school_biology | biology | |
mmlu_aux_train_93419 | mmlu_aux_train | The invention of the telescope allowed which of the following to take place?
A. the discovery of cells
B. the identification of weather patterns
C. detailed observation of planets
D. communication between distant cities | C. detailed observation of planets | astronomy | physics | ||
aquarat_67994 | deepmind/aqua_rat | For a certain exam,a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam? | A. 50 B. 55 C. 48 D. 42 E. 49 | C. 48 | Mean+5SD=86
Mean+2.5SD=67
By solving above equations we get,
SD (absolute value)=7.6
Mean=48
ANS. C | high_school_statistics | mathematics |
mmlu_aux_train_2743 | mmlu_aux_train | An atom becomes an ion with a -1 charge because the atom
A. gains one electron.
B. loses one electron.
C. gains one proton.
D. loses one proton. | A. gains one electron. | high_school_chemistry | chemistry | ||
pythonio_109 | pythonio-mc | Program:
def odd_Num_Sum(n) :
j = 0
sm = 0
for i in range(1,n+1) :
j = (2*i-1)
sm = sm + (j*j*j*j*j)
return sm
Input:
odd_Num_Sum(3)
Output: | B | code | computer_science | ||
aquarat_4534 | deepmind/aqua_rat | Set R has a mean of 14 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? | A. {13,15} B. {18,19} C. {11,19} D. {15,19} E. {14,25} | A. {13,15} | The lesser the variance( values closer to mean) ,lower the standard deviation. As discussed in question the mean is 14,the values (13,15) are closer than others.
Hence Answer : A | high_school_statistics | mathematics |
math_1065 | math_mc | In the figure, $AB \perp BC, BC \perp CD$, and $BC$ is tangent to the circle with center $O$ and diameter $AD$. In which one of the following cases is the area of $ABCD$ an integer?
[asy] pair O=origin, A=(-1/sqrt(2),1/sqrt(2)), B=(-1/sqrt(2),-1), C=(1/sqrt(2),-1), D=(1/sqrt(2),-1/sqrt(2)); draw(unitcircle); dot(O); dr... | B | math_Geometry | mathematics | ||
aquarat_50950 | deepmind/aqua_rat | A 40 kg metal bar made of alloy of tin and silver lost 4 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar? | A. 1/4 B. 2/5 C. 1/2 D. 3/5 E. 2/3 | E. 2/3 | you can simply use this formula to avoid confusion:
w1/w2 = (A2 - Aavg)/(Avg - A1)
Here is how you will find the values of A1 an A2.
We have an overall loss (average loss). The average loss is 4 kg when 40 kg alloy is immersed.
This is a loss of (4/40)*100 = 10%.
This is Aavg
The loss of tin is 1.375 kg for every 10 kg... | high_school_physics | physics |
allenai/sciq_4249 | allenai/sciq | Competition within a species is called what?
A. intraspecific competition
B. species competion
C. internal competition
D. reproducible competition | A. intraspecific competition | Competition within a species is called intraspecific competition. It leads to natural selection within the species, so the species becomes better adapted to its environment. | high_school_biology | biology | |
allenai/sciq_6116 | allenai/sciq | The vast majority of what phenomena occurs along one of three types of plate boundaries?
A. earthquake
B. tornados
C. hurricane
D. volcanoes | A. earthquake | Nearly 95% of all earthquakes take place along one of the three types of plate boundaries. As you learned in the Plate Tectonics chapter, scientists use the location of earthquakes to draw plate boundaries. | college_earth_science | earth_science | |
math_578 | math_mc | A bowl contains 10 jellybeans (four red, one blue and five white). If you pick three jellybeans from the bowl at random and without replacement, what is the probability that exactly two will be red? Express your answer as a common fraction. | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_53942 | mmlu_aux_train | Submitting Assignment Online In order to upload an assignment (work given to students) to the system properly, you must save the assignment using one of the following applications: Microsoft Word, Corel WordPerfect, or Microsoft Excel. After you complete an assignment, it is important to save your work. This ensures th... | C. researchpaper.doc | high_school_computer_science | computer_science | ||
NLP4Education_711 | NLP4Education | In x86-64 Linux, the canary is \textbf{always} different for every?
A. Process
B. Namespace
C. Thread
D. Function | C. Thread | computer_security | computer_science | ||
aquarat_53909 | deepmind/aqua_rat | For each positive integer,the quantitySn is defined such thatSn+3=(Sn)^2 -S(n+1).in addition ,S2=1.then which of the following must be true. | A. a)S4 +S3 +1=0 B. b)(S1)^2 +S4 +2=0 C. c) ifS1=-1thenS4 is also equal to-1. D. d) ifS4 =-7thenS1=-2. E. e) ifS1 =-3thenS4=-7 | B. b)(S1)^2 +S4 +2=0 | Since all the answers include S4, let's start from there.
S4=S2^2-S3
S3=S1^2-S2
Substituting S3 into the first equation we get:
S4=S2^2-(S1^2-S2)
Since S2=1
S4=1-(S1^2-1)
S4=2-S1^2
We need S1^2 in order to calculate S4.
E) provides S1 and from there we can calculate S4:
S4=2-(-3)^2
S4=-7
Correct.
As a side note, I woul... | college_mathematics | mathematics |
math_463 | math_mc | Let $N$ be the number of positive integers that are less than or equal to $2003$ and whose base-$2$ representation has more $1$'s than $0$'s. Find the remainder when $N$ is divided by $1000$.
| A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_98849 | mmlu_aux_train | Imagine astronauts traveling to a distant asteroid as it passes near Earth. During their mission they leave behind boot prints. How long will these potentially last?
A. several months
B. 5 years
C. thousands of years
D. 2 weeks | C. thousands of years | astronomy | physics | ||
NLP4Education_730 | NLP4Education | Which of the following statements about mitigations are true?
A. All mitigations fully eliminate the underlying bug.
B. The effectiveness and performance of some mitigations can depend on the system's architecture.
C. No mitigation ever requires hardware support for implementation.
D. Mitigations always ensure applicat... | B. The effectiveness and performance of some mitigations can depend on the system's architecture. | computer_security | computer_science | ||
math_2209 | math_mc | Let
\[\mathbf{M} = \begin{pmatrix} a & b & c \\ b & c & a \\ c & a & b \end{pmatrix}\]be a matrix with complex entries such that $\mathbf{M}^2 = \mathbf{I}.$ If $abc = 1,$ then find the possible values of $a^3 + b^3 + c^3.$ | D | math_Precalculus | mathematics | ||
aquarat_43334 | deepmind/aqua_rat | 50 men shake hands with each other. Maximum no of handshakes without cyclic handshakes. | A. 190 B. 200 C. 1225 D. 220 E. 230 | C. 1225 | total no. of handshakes = 49+48+47+...+3+2+1 = 19*(19+1)/2 = 1225
or, if there are n persons then no. of shakehands = nC2 = 50C2 = 1225
Answer : C | abstract_algebra | mathematics |
math_736 | math_mc | In trapezoid $ABCD$, leg $\overline{BC}$ is perpendicular to bases $\overline{AB}$ and $\overline{CD}$, and diagonals $\overline{AC}$ and $\overline{BD}$ are perpendicular. Given that $AB=\sqrt{11}$ and $AD=\sqrt{1001}$, find $BC^2$.
| A | math_Geometry | mathematics | ||
math_1402 | math_mc | Real numbers $x,$ $y,$ and $z$ satisfy the following equality:
\[4(x + y + z) = x^2 + y^2 + z^2.\]Let $M$ be the maximum value of $xy + xz + yz,$ and let $m$ be the minimum value of $xy + xz + yz.$ Find $M + 10m.$ | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_98362 | mmlu_aux_train | If a thing is going to shock you, you could block the shock best with
A. a log cabin
B. a metal plane
C. an aluminium cup
D. a tin can | A. a log cabin | conceptual_physics | physics | ||
math_319 | math_mc | The positive integers $A, B$ and $C$ form an arithmetic sequence while the integers $B, C$ and $D$ form a geometric sequence. If $\frac CB = \frac 53,$ what is the smallest possible value of $A + B + C + D$? | A | math_Algebra | mathematics | ||
math_2226 | math_mc | Let $x=\frac{\sum\limits_{n=1}^{44} \cos n^\circ}{\sum\limits_{n=1}^{44} \sin n^\circ}$. What is the greatest integer that does not exceed $100x$?
| A | math_Precalculus | mathematics | ||
aquarat_14836 | deepmind/aqua_rat | The mass of 1 cubic meter of a substance is 500 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters) | A. 0.1 B. 0 C. 1 D. 2 E. 3 | D. 2 | 500 kg - 1 cubic meter;
500,000 g - 1 cubic meter;
500,000 g - 1,000,000 cubic centimeters;
1 g - 1,000,000/500,000 = 10/5 = 2 cubic centimeters.
Answer: D. | high_school_physics | physics |
allenai/sciq_9377 | allenai/sciq | What happens when a neutral atom gains or loses electrons?
A. it becomes an ion
B. it gains protons
C. it loses neutrons
D. it loses protons | A. it becomes an ion | As we studied in our chapter on the periodic table, we saw that elements share a number of important properties with other elements found in the same group. The chemical behavior of a given element is largely dictated by the configuration of its valence electrons. Many elements have a tendency to gain or lose electrons... | high_school_chemistry | chemistry | |
allenai/sciq_4077 | allenai/sciq | Ionic bonds between two atoms require one metal and one what?
A. liquid
B. nonmetal
C. gas
D. metallic | B. nonmetal | Ionic bonds tend to form between atoms for which the electronegativity differences are 2.0 and above. In general, ionic bonds between two atoms require one metal and one nonmetal. | high_school_chemistry | chemistry | |
pythonio_22 | pythonio-mc | Program:
def find_Min_Sum(num):
sum = 0
i = 2
while(i * i <= num):
while(num % i == 0):
sum += i
num /= i
i += 1
sum += num
return sum
Input:
find_Min_Sum(2)
Output: | D | code | computer_science | ||
mmlu_aux_train_94174 | mmlu_aux_train | Aluminum is an element. Which of the following best describes the smallest particle of aluminum that retains all the properties of aluminum?
A. a molecule
B. an atom
C. a proton
D. an electron | B. an atom | high_school_chemistry | chemistry | ||
math_1272 | math_mc | Let $x = \sqrt{\frac{\sqrt{53}}{2} + \frac{3}{2}}.$ There exist unique positive integers $a,$ $b,$ $c$ such that
\[x^{100} = 2x^{98} + 14x^{96} + 11x^{94} - x^{50} + ax^{46} + bx^{44} + cx^{40}.\]Find $a + b + c.$ | D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_3273 | allenai/sciq | What is the general name for a wave that travels along the surface of a medium?
A. speed wave
B. surface wave
C. light wave
D. stack wave | B. surface wave | A surface wave is a wave that travels along the surface of a medium. The medium is the matter through which the wave travels. Ocean waves are the best-known examples of surface waves. They travel on the surface of the water between the ocean and the air. | conceptual_physics | physics | |
allenai/sciq_5387 | allenai/sciq | A decline in blood flow to what organs stimulates release of the enzyme renin, in turn stimulating the reabsorption of sodium and water?
A. thyroids
B. kidneys
C. kidneys
D. lungs | B. kidneys | Kidneys The kidneys participate in several complex endocrine pathways and produce certain hormones. A decline in blood flow to the kidneys stimulates them to release the enzyme renin, triggering the renin-angiotensin-aldosterone (RAAS) system, and stimulating the reabsorption of sodium and water. The reabsorption incre... | college_medicine | biology | |
math_9 | math_mc | Suppose that $a$ is a nonzero constant for which the equation $ax^2+20x+7=0$ has only one solution. Find this solution. | C | math_Algebra | mathematics | ||
mmlu_aux_train_96436 | mmlu_aux_train | An example of an electrical circuit could be
A. Dimming the lights
B. Driving a car
C. Drinking water
D. Riding a bike | A. Dimming the lights | electrical_engineering | engineering | ||
pythonio_220 | pythonio-mc | Program:
def find_kth(arr1, arr2, m, n, k):
sorted1 = [0] * (m + n)
i = 0
j = 0
d = 0
while (i < m and j < n):
if (arr1[i] < arr2[j]):
sorted1[d] = arr1[i]
i += 1
else:
sorted1[d] = arr2[j]
j += 1
d += 1
while (i < m):
sorted1[d] = arr1[i]
d += 1
i += 1
while (j < n):
... | A | code | computer_science | ||
math_794 | math_mc | In convex quadrilateral $ABCD$, $AB=BC=13$, $CD=DA=24$, and $\angle D=60^\circ$. Points $X$ and $Y$ are the midpoints of $\overline{BC}$ and $\overline{DA}$ respectively. Compute $XY^2$ (the square of the length of $XY$). | B | math_Geometry | mathematics | ||
allenai/sciq_2092 | allenai/sciq | What term describes waves that transfer energy through matter?
A. temperature waves
B. mechanical waves
C. energy currents
D. mechanical currents | B. mechanical waves | Ocean waves are among the most impressive waves in the world. They clearly show that waves transfer energy. In the case of ocean waves, energy is transferred through matter. But some waves, called electromagnetic waves, can transfer energy without traveling through matter. These waves can travel through space. You can ... | conceptual_physics | physics | |
NLP4Education_461 | NLP4Education | Let $n$ be an integer. Which of the following is \emph{not} a group in the general case?
A. $(\mathbf{R},+)$
B. $(\mathbf{Q}\setminus\{0\},\times)$
C. $(\mathbf{Z}_n,+ \pmod{n})$
D. $(\mathbf{Z}_n,\times \pmod{n})$ | D. $(\mathbf{Z}_n,\times \pmod{n})$ | abstract_algebra | mathematics | ||
NLP4Education_820 | NLP4Education | Let \( f : A \rightarrow B \) be a function from A to B such that \(f(a) = |a| \).
f is a bijection if:
A. \( A = [0, 1] \) and \( B = [-1, 0] \)
B. \( A = [-1, 0] \) and \( B = [-1, 0] \)
C. \( A = [-1, 0] \) and \( B = [0, 1] \)
D. \( A = [-1, 1] \) and \( B = [-1, 1] \) | C. \( A = [-1, 0] \) and \( B = [0, 1] \) | college_mathematics | mathematics | ||
mmlu_aux_train_98215 | mmlu_aux_train | Which two events are guaranteed to each happen in a 24 hour cycle?
A. a large star appearing and disappearing
B. an earthquake and a tornado
C. a rainbow and a tsunami appearing
D. a dog barking and a vitamin being eaten | A. a large star appearing and disappearing | high_school_physics | physics | ||
math_187 | math_mc | A rectangular box has a volume of $4320$ cubic inches and a surface area of $1704$ square inches. The sum of the lengths of its $12$ edges is $208$ inches. What would be the volume of the box, in cubic inches, if its length, width and height were each increased by one inch? | C | math_Algebra | mathematics | ||
aquarat_70515 | deepmind/aqua_rat | If MEDICAL is written as EFNJDBM and VERSION is written as SFWTJPI then PROBLEM is written as | A. CPSQMFN B. NQOCMFN C. PSQCMFN D. PSQCMFM E. None | C. PSQCMFN | M E D I C A L
13 4
E F N J D B M
5 14
1st and 3rd letters sum is same i.e.,13=5=18 and d+n=18
and the remaining letters are increased by 1 ((e,f),(i,j),(c,d),....
for version also sequence is same....
follow the same sequence for problem :
answer is : PSQCMFN
ANSWER:C | formal_logic | mathematics |
pythonio_213 | pythonio-mc | Program:
def diff_even_odd(list1):
first_even = next((el for el in list1 if el%2==0),-1)
first_odd = next((el for el in list1 if el%2!=0),-1)
return (first_even-first_odd)
Input:
diff_even_odd([1,3,5,7,4,1,6,8])
Output: | C | code | computer_science | ||
allenai/sciq_6440 | allenai/sciq | Natural gas burns cleaner and produces less carbon dioxide than fuels of what type?
A. fossil fuels
B. biofuels
C. solar energy
D. renewable fuels | A. fossil fuels | Natural gas burns cleaner than other fossil fuels. As a result, it causes less air pollution. It also produces less carbon dioxide than the other fossil fuels. Because it burns cleaner than other fossil fuels, natural gas has a good reputation. Still, natural gas does emit pollutants. | high_school_chemistry | chemistry | |
pythonio_164 | pythonio-mc | Program:
def unique_product(list_data):
temp = list(set(list_data))
p = 1
for i in temp:
p *= i
return p
Input:
unique_product([1, 2, 3, 1,])
Output: | A | code | computer_science | ||
pythonio_435 | pythonio-mc | Program:
def zip_list(list1,list2):
result = list(map(list.__add__, list1, list2))
return result
Input:
zip_list([[1, 3], [5, 7], [9, 11]] ,[[2, 4], [6, 8], [10, 12, 14]] )
Output: | D | code | computer_science | ||
math_82 | math_mc | Given positive integers $x$ and $y$ such that $x\neq y$ and $\frac{1}{x} + \frac{1}{y} = \frac{1}{12}$, what is the smallest possible value for $x + y$? | D | math_Algebra | mathematics | ||
aquarat_71444 | deepmind/aqua_rat | A boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms /hr. Find the duration after which his friend is going to hear him. (Speed of sound = 330m/sec). | A. 3.6 secs B. 4.00 secs C. 40 secs D. 45 secs E. None of these | B. 4.00 secs | If friend hears sound after t secs, then
330*t = 1200 +(108*5/18)*t
300t =1200
t= 4 secs
ANSWER:B | conceptual_physics | physics |
mmlu_aux_train_68473 | mmlu_aux_train | Sharks frighten most of us, but Daniel Weaver, a shark scientist, swims with them for a living! We asked him some questions about this unusual job. So Daniel, what's it like to be a shark scientist? Well, it's a great job. I often travel to faraway places like South Africa and Fiji to study sharks. On the other hand, a... | D. Four | high_school_biology | biology | ||
NLP4Education_95 | NLP4Education | For the number of times the apriori algorithm and the FPgrowth algorithm for association rule mining are scanning the transaction database the following is true
A. FPgrowth always requires fewer scans than Apriori
B. FPgrowth and Apriori can require the same number of scans
C. Apriori may require fewer scans than FPgro... | B. FPgrowth and Apriori can require the same number of scans | machine_learning | computer_science | ||
allenai/sciq_5769 | allenai/sciq | Surprisingly, where would you find the earth’s tallest mountains and deepest canyons?
A. Tibet
B. taiga
C. ocean floor
D. rain forests | C. ocean floor | Scientists have learned a lot about the ocean floor. For example, they know that Earth’s tallest mountains and deepest canyons are on the ocean floor. The major features on the ocean floor are described below. They are also shown in Figure below . | astronomy | physics | |
math_756 | math_mc | In the adjoining figure, two circles with radii $8$ and $6$ are drawn with their centers $12$ units apart. At $P$, one of the points of intersection, a line is drawn in such a way that the chords $QP$ and $PR$ have equal length. Find the square of the length of $QP$.
[asy]size(160); defaultpen(linewidth(.8pt)+fontsize(... | D | math_Geometry | mathematics | ||
math_749 | math_mc | Medians are drawn from point $A$ and point $B$ in this right triangle to divide segments $\overline{BC}$ and $\overline{AC}$ in half, respectively. The lengths of the medians are 6 and $2\sqrt{11}$ units, respectively. How many units are in the length of segment $\overline{AB}$?
[asy]
draw((0,0)--(7,0)--(0,4)--(0,0)--... | B | math_Geometry | mathematics | ||
allenai/sciq_8581 | allenai/sciq | Chemical reactions that consume energy are called what?
A. greedy reactions
B. endothermic reactions
C. inefficient reactions
D. exothermic reactions | B. endothermic reactions | Chemical reactions that consume energy are called endothermic reactions . Energy is usually absorbed from the surroundings as heat. An example is the synthesis of ammonia, described above. In organisms, endothermic reactions are called anabolic reactions . Anabolic reactions construct molecules from smaller units. An e... | high_school_chemistry | chemistry | |
mmlu_aux_train_1178 | mmlu_aux_train | Louis Pasteur discovered that the bacteria in a substance can be killed by heating the substance for a short period of time. Which of these practices benefited most from Pasteur's discovery?
A. storing foods for longer periods of time
B. building ovens and other heating devices
C. creating medicines that cure infectio... | A. storing foods for longer periods of time | high_school_biology | biology | ||
aquarat_78627 | deepmind/aqua_rat | How many real roots does the equation x^2y+16xy+60y=0 have if y < 0? | A. 0 B. 1 C. 2 D. 3 E. Infinite | D. 3 | x^2y+16xy+60y=0
=> y ( x^2 + 16x + 60) = 0
=> y (x+8)^2 = 0
if y<0 , then x=-9
So although there are 2 factors , they are the same x=-9 .
The equations has 3 distinct real root .
Answer D | college_mathematics | mathematics |
math_732 | math_mc | A sector with acute central angle $\theta$ is cut from a circle of radius 6. The radius of the circle circumscribed about the sector is
$\textbf{(A)}\ 3\cos\theta \qquad \textbf{(B)}\ 3\sec\theta \qquad \textbf{(C)}\ 3 \cos \frac12 \theta \qquad \textbf{(D)}\ 3 \sec \frac12 \theta \qquad \textbf{(E)}\ 3$
| A | math_Geometry | mathematics | ||
allenai/sciq_8726 | allenai/sciq | Conducting wires have a small degree of what?
A. magnetism
B. insulation
C. electrical resistance
D. heat | C. electrical resistance | Conducting wires have a small electrical resistance. The electrical resistance of a conducting wire is related to the type of metal used and inversely related to the cross-sectional area of the wire. The larger the diameter of a wire, the greater the cross-sectional area, and the lower the electrical resistance will be... | conceptual_physics | physics | |
pythonio_790 | pythonio-mc | Program:
def sum_even_odd(list1):
first_even = next((el for el in list1 if el%2==0),-1)
first_odd = next((el for el in list1 if el%2!=0),-1)
return (first_even+first_odd)
Input:
sum_even_odd([1,5,7,9,10])
Output: | D | code | computer_science | ||
math_1348 | math_mc | An ellipse has foci at $F_1 = (0,2)$ and $F_2 = (3,0).$ The ellipse intersects the $x$-axis at the origin, and one other point. What is the other point of intersection? | C | math_Intermediate Algebra | mathematics | ||
math_574 | math_mc | If two distinct members of the set $\{ 3, 7, 21, 27, 35, 42, 51 \}$ are randomly selected and multiplied, what is the probability that the product is a multiple of 63? Express your answer as a common fraction. | C | math_Counting & Probability | mathematics | ||
pythonio_496 | pythonio-mc | Program:
def multiply_elements(test_tup):
res = tuple(i * j for i, j in zip(test_tup, test_tup[1:]))
return (res)
Input:
multiply_elements((12, 13, 14, 9, 15))
Output: | A | code | computer_science | ||
pythonio_842 | pythonio-mc | Program:
def maximum_product(nums):
import heapq
a, b = heapq.nlargest(3, nums), heapq.nsmallest(2, nums)
return max(a[0] * a[1] * a[2], a[0] * b[0] * b[1])
Input:
maximum_product([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1])
Output: | C | code | computer_science | ||
mmlu_aux_train_29494 | mmlu_aux_train | One kind of female butterfly mates only once in its life -- and then closes its wings to avoid _ " when pursued by persistent and unwanted males, a Japanese researcher said. Observations of the Small Copper Butterfly, a colourful orange and black butterfly, showed that some females closed their wings when males flew by... | A. because they close their wings to avoid "harassment" when pursued by persistent and unwanted males. | college_biology | biology | ||
math_1116 | math_mc | Let $x$ and $y$ be real numbers such that $2(x^2 + y^2) = x + y.$ Find the maximum value of $x - y.$ | D | math_Intermediate Algebra | mathematics | ||
aquarat_14151 | deepmind/aqua_rat | If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2017) = ? | A. 2018 B. 2088 C. 270 D. 1881 E. 1781 | A. 2018 | f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2017) = 2018
Ans: A | college_mathematics | mathematics |
aquarat_77848 | deepmind/aqua_rat | In each of the following questions, there are four options. The numbers, in these options, are alike in a certain manner. Only one number does not fit in. Choose the one which is different from the rest. | A. 24 B. 90 C. 54 D. 36 E. 25 | A. 24 | 24
remaing number are divisible by '9'
ANSWER:A | formal_logic | mathematics |
mmlu_aux_train_34639 | mmlu_aux_train | Smart home applications can share all kinds of helpful information with homeowners. There appears a new housing platform which can detect the stress on electricity -- and the stress on the heart. "There is a growing population of elderly people, and there are statistics to show that more and more of them are going to l... | D. save electricity | computer_security | computer_science | ||
allenai/sciq_4057 | allenai/sciq | Burning trees produces most of the same pollutants as burning what?
A. fossil fuels
B. coal fuels
C. carbon
D. fossil compounds | A. fossil fuels | Millions of acres of forest have been cut and burned to make way for farming. Figure below shows an example. Burning trees produces most of the same pollutants as burning fossil fuels. | high_school_chemistry | chemistry | |
pythonio_527 | pythonio-mc | Program:
import math
def find_Index(n):
x = math.sqrt(2 * math.pow(10,(n - 1)));
return round(x);
Input:
find_Index(4)
Output: | D | code | computer_science | ||
mmlu_aux_train_1653 | mmlu_aux_train | Which of the following is the best estimate of the number of stars in a typical galaxy?
A. tens
B. hundreds
C. thousands
D. billions | D. billions | astronomy | physics | ||
pythonio_526 | pythonio-mc | Program:
import math
def find_Index(n):
x = math.sqrt(2 * math.pow(10,(n - 1)));
return round(x);
Input:
find_Index(3)
Output: | A | code | computer_science | ||
mmlu_aux_train_95611 | mmlu_aux_train | Why would a plant not do well indoors?
A. the temperature is not as good
B. it's not by other plants
C. the roots have less light energy to absorb
D. the chlorophyll has less light energy to absorb | D. the chlorophyll has less light energy to absorb | high_school_biology | biology | ||
mmlu_aux_train_18494 | mmlu_aux_train | For many years,machines have been doing work that people once did,including some dit- ficutt jobs. Search and rescue operations in dangerous environments are often seen as the first areas that will employ high technology robots. But there is another area where they may soon take jobs traditionally held by human beings:... | D. They failed to design effective walking robots. | college_computer_science | computer_science | ||
aquarat_97057 | deepmind/aqua_rat | The sequence a1, a2, a3, ... , an, ... is such that an=an−1+an−2/2 for all n≥3n≥3. If a3=4 and a5=20, what is the value of a6 ? | A. 12 B. 16 C. 20 D. 24 E. 28 | E. 28 | Since given that an=an−1+an−2/2, then:
a5=a4+a3/2 --> 20=a4+4/2 --> a4=36
a6=a5+a4/2 --> a6=20+36/2 --> a5=28
Answer: E. | college_mathematics | mathematics |
NLP4Education_804 | NLP4Education | Let P(x) be “x is an elephant” and F(x) be “x flies” and the domain consists of all animals. Translate the following statement into English: ∃!x(P(x) ∧ F(x)).
A. There exists only one elephant that can fly
B. There is an animal that flies if it’s an elephant
C. All elephants fly
D. Some elephants can fly | A. There exists only one elephant that can fly | formal_logic | mathematics | ||
math_924 | math_mc | A right circular cone is sliced into four pieces by planes parallel to its base, as shown in the figure. All of these pieces have the same height. What is the ratio of the volume of the second-largest piece to the volume of the largest piece? Express your answer as a common fraction.
[asy]
size(150);
pair A, B, C, D, E... | C | math_Geometry | mathematics | ||
math_137 | math_mc | In a certain city the rate of taxation is the following: $x\%$ tax is collected for an income of $x$ thousand dollars. What income, in dollars, will yield the greatest take home pay? (Take-home pay is the income minus the tax on that income.) | B | math_Algebra | mathematics | ||
mmlu_aux_train_95886 | mmlu_aux_train | The property of fur that is a result of the way that it reflects or emits light is
A. an inherited characteristic
B. a fabricated characteristic
C. a manufacturing characteristic
D. an age characteristic | A. an inherited characteristic | high_school_biology | biology | ||
aquarat_5598 | deepmind/aqua_rat | Four people need to cross a dark river at night.
* They have only one torch and the river is too risky to cross without the torch.
* If all people cross simultaneously then torch light wont be sufficient.
* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes... | A. 16 minutes B. 17 minutes C. 18 minutes D. 19 minutes E. 20 minutes | B. 17 minutes | Solution:
17 min
The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 minutes. Is that it? No. That would make this question too simple even as a warm up question.
Let's brainstorm a little further. To reduce ... | conceptual_physics | physics |
allenai/sciq_6252 | allenai/sciq | What are the membrane-bound organelles that are usually larger than vesicles and can have secretory, excretory, and storage functions?
A. tubules
B. ribosomes
C. vacuoles
D. nucleolus | C. vacuoles | Vacuoles are membrane-bound organelles that can have secretory, excretory, and storage functions. They are usually larger than vesicles. | college_biology | biology | |
math_1082 | math_mc | Stuart has drawn a pair of concentric circles, as shown. He draws chords $\overline{AB}$, $\overline{BC}, \ldots$ of the large circle, each tangent to the small one. If $m\angle ABC=75^\circ$, then how many segments will he draw before returning to his starting point at $A$? [asy]
size(100); defaultpen(linewidth(0.8)... | D | math_Geometry | mathematics | ||
aquarat_21539 | deepmind/aqua_rat | The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 47. What is a possible value for the mean of the distribution? | A. 46 B. 54 C. 48 D. 49 E. 50 | B. 54 | The standard deviation ({SD}) = 2;
3 standard deviations below the mean is greater than 47:
{Mean} - 3*{SD} > 47;
{Mean} - 6 > 47;
{Mean} > 53.
Answer: B. | high_school_statistics | mathematics |
mmlu_aux_train_20877 | mmlu_aux_train | Chinese high school students have the longest study hours compared to their peers in Japan , the US and South Korea. A survey conducted by the four countries said. The survey, released by the China Youth and Children Research Center on Monday, was jointly conducted with instructions in the four countries in September-... | C. heavy burdens of high school students | high_school_statistics | mathematics | ||
allenai/sciq_1510 | allenai/sciq | Adult sea stars have what kind of symmetry?
A. skeletal symmetry
B. hydrological symmetry
C. radial symmetry
D. biological symmetry | C. radial symmetry | Adult sea stars and other echinoderms have obvious radial symmetry. What evidence supports the claim that echinoderms evolved from an ancestor with bilateral symmetry?. | high_school_biology | biology | |
math_676 | math_mc | Call a set of integers "spacy" if it contains no more than one out of any three consecutive integers. How many subsets of $\{1, 2,
3, \dots, 12\}$, including the empty set, are spacy? | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_97334 | mmlu_aux_train | A parent contributes DNA to their offspring which can result in
A. beads
B. freckles
C. frowns
D. dirt | B. freckles | high_school_biology | biology | ||
math_739 | math_mc | Let $\triangle ABC$ be a right triangle such that $B$ is a right angle. A circle with diameter of $BC$ meets side $AC$ at $D.$ If $AD = 1$ and $BD = 4,$ then what is $CD$? | C | math_Geometry | mathematics | ||
mmlu_aux_train_10679 | mmlu_aux_train | Passage 1 The Information Highway is the road that links computer users to a large number of on-line services: the Web,e-mail,and software,to mention just a few. Not long ago,the Information Highway was a new road,with not many users. Now,everyone seems to want to take a drive, with over 30 million families connected w... | D. appeals to a large number of users | high_school_computer_science | computer_science | ||
NLP4Education_311 | NLP4Education | Which statement is true for linear regression?
A. A linear regression model can be expressed as an inner product between feature vectors and a weight vector.
B. Linear regression always performs well on datasets with a high number of outliers when using standard loss functions.
C. A good fit with linear regression alwa... | A. A linear regression model can be expressed as an inner product between feature vectors and a weight vector. | machine_learning | computer_science | ||
math_1726 | math_mc | There are four distinct positive integers $a,b,c,d$ less than $8$ which are invertible modulo $8$. Find the remainder when $(abc+abd+acd+bcd)(abcd)^{-1}$ is divided by $8$. | B | math_Number Theory | mathematics | ||
pythonio_940 | pythonio-mc | Program:
def roman_to_int(s):
rom_val = {'I': 1, 'V': 5, 'X': 10, 'L': 50, 'C': 100, 'D': 500, 'M': 1000}
int_val = 0
for i in range(len(s)):
if i > 0 and rom_val[s[i]] > rom_val[s[i - 1]]:
int_val += rom_val[s[i]] - 2 * rom_val[s[i - 1]]
else:
... | A | code | computer_science | ||
math_1210 | math_mc | There is a smallest positive real number $a$ such that there exists a positive real number $b$ such that all the roots of the polynomial $x^3-ax^2+bx-a$ are real. In fact, for this value of $a$ the value of $b$ is unique. What is the value of $b?$ | D | math_Intermediate Algebra | mathematics | ||
aquarat_23201 | deepmind/aqua_rat | A textile manufacturing firm employees 125 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 125 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread ove... | A. 13000 B. 7000 C. 10000 D. 2800 E. None of these | D. 2800 | Explanation :
Profit = 5,00,000−(1,50,000+75,000) =Rs. 2,75,000.
Since, such loom contributes equally to sales and manufacturing expenses.
But the monthly charges are fixed at Rs 75,000.
If one loan breaks down sales and expenses will decrease.
New profit :-
=>500000×(124/125)−150000×(124/125)−75000.
=>Rs 2,72,... | college_mathematics | mathematics |
aquarat_24146 | deepmind/aqua_rat | You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes.
How can you do it? Please note that you can’t break the rope in half as i... | A. 25 minutes B. 35 minutes C. 45 minutes D. 55 minutes E. 65 minutes | C. 45 minutes | Solution:
45 minutes
Explanation :
All you have to do is burn the first rope from both the ends and the second rope from one end only simultaneously. The first rope will burn in 30 minutes (half of an hour since we burned from both sides) while the other rope would have burnt half. At this moment, light the second rope... | conceptual_physics | physics |
allenai/sciq_3765 | allenai/sciq | Boyle’s law applies to matter which is in what state?
A. gas
B. plasma
C. liquids
D. solids | A. gas | A piston having a certain pressure and volume (left piston) will have half the volume when its pressure is twice as much (right piston). One can also plot P versus V for a given amount of gas at a certain temperature; such a plot will look like the graph on the right. Boyle’s law is an example of a second type of mathe... | high_school_physics | physics | |
math_1612 | math_mc | How many of the 343 smallest positive integers written in base 7 use 4 or 5 (or both) as a digit? | B | math_Number Theory | mathematics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.