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 |
|---|---|---|---|---|---|---|---|
allenai/sciq_11668 | allenai/sciq | What is caused by differences in density at the top and bottom of the ocean?
A. still water
B. flat currents
C. deep currents
D. shallow currents | C. deep currents | Currents also flow deep below the surface of the ocean. Deep currents are caused by differences in density at the top and bottom. More dense water takes up less space than less dense water. It has the same mass but less volume. Water that is more dense sinks. Less dense water rises. What can make water more dense?. | college_earth_science | earth_science | |
math_25 | math_mc | Let $a$ and $b$ be the roots of the equation $x^2-mx+2=0.$ Suppose that $a+(1/b)$ and $b+(1/a)$ are the roots of the equation $x^2-px+q=0.$ What is $q?$ | C | math_Algebra | mathematics | ||
mmlu_aux_train_2546 | mmlu_aux_train | A city wants to build a dam nearby to increase water supplies. Which question is most important to ask about the environmental effects of building the dam?
A. How long will it take to build?
B. How much concrete is needed?
C. How will the lake be used for recreation?
D. How will the dam affect fish populations? | D. How will the dam affect fish populations? | high_school_biology | biology | ||
mmlu_aux_train_2295 | mmlu_aux_train | Which process is most directly related to constructing new land?
A. erosion
B. polluting
C. deposition
D. weathering | C. deposition | high_school_biology | biology | ||
aquarat_73552 | deepmind/aqua_rat | If Yury has been writing programming code for 13 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written? | A. 117(10^2) B. 126(10^3) C. 12.6(10^5) D. 1.26(10^7) E. .126(10^9) | A. 117(10^2) | 5 LINES IN 20 SECONDS
SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )
I HOUR = 60 MINUTES
15 X 60 = 900 LINES IN AN HOUR
13 HOURS = 900 X 13 = 117(10^2)
ANSWER A | coding | computer_science |
NLP4Education_766 | NLP4Education | Let $\mathcal{C}$ be a binary $(5,2)$ linear code with generator matrix ... True or false: The word $00101$ is certainly not one of the coset leaders.
A. True
B. False
C. Cannot be determined without more information
D. Only if $00101$ is in the code | A. True | college_mathematics | mathematics | ||
math_2219 | math_mc | Find the matrix $\mathbf{M}$ such that
\[\mathbf{M} \mathbf{v} = \begin{pmatrix} 5 \\ 2 \\ -8 \end{pmatrix} \times \mathbf{v}\]for all vectors $\mathbf{v}.$ | D | math_Precalculus | mathematics | ||
mmlu_aux_train_83089 | mmlu_aux_train | Health is important for us.But how can we keep healthy?First,you should eat vegetables and fruit four or five times a week.Then you should eat some tofu products every day because they are good for people,both the young and the old.Milk is also necessary, _ for women.So you should have milk twice a day.It can help you ... | D. vegetables and fruit | high_school_biology | biology | ||
aquarat_90407 | deepmind/aqua_rat | A certain rectangular crate measures 20 feet by 20 feet by 20 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume? | A. 4 B. 5 C. 6 D. 8 E. 10 | E. 10 | For max volume of cylinder (pi*r^2*h) we need to max out r^2*h. We don't know what the dimensions of the crate refer to. . Therefore for max vol base should be 20x20 i.e. of radius 20/2 = 10
E | college_mathematics | mathematics |
mmlu_aux_train_10959 | mmlu_aux_train | The most frightening words in the English language are, "Our computer is down." You hear it more and more when you are on business. The other day I was at the airport waiting for a ticket to Washington and the girl in the ticket office said, "I'm sorry, I can't sell you a ticket. Our computer is down." "If your... | A. When the Computer Is Down | high_school_computer_science | computer_science | ||
mmlu_aux_train_95989 | mmlu_aux_train | The way that the earth rotates and moves through space can effect how
A. the stars are viewed in the sky
B. how the moon phases
C. the heat of the sun
D. the plants we are able to eat | A. the stars are viewed in the sky | astronomy | physics | ||
mmlu_aux_train_94503 | mmlu_aux_train | Joel made some measurements and recorded this data: Sample 1 - 45 mL Sample 2 - 15 mL Sample 3 - 30 mL Sample 4 - 20 mL Which of these tools would most likely have been used to obtain these measurements?
A. test tube
B. meter stick
C. spring scale
D. graduated cylinder | D. graduated cylinder | high_school_chemistry | chemistry | ||
allenai/sciq_422 | allenai/sciq | In scientific investigations, descriptive statistics are useful for summarizing the characteristics of large what?
A. organisms
B. tissues
C. samples
D. questions | C. samples | The girls in the picture above make up a small sample—there are only four of them. In scientific investigations, samples may include hundreds or even thousands of people or other objects of study. Especially when samples are very large, it’s important to be able to summarize their overall characteristics with a few num... | high_school_statistics | mathematics | |
aquarat_62796 | deepmind/aqua_rat | a square of 2 unit is given and four circles are made on its corners having equal radius of each. and another circle of equAl radius is made on the center of the square. find out the area of square which is not covered by circles? | A. 0.76 B. 0.86 C. 0.96 D. 1.16 E. 1.26 | B. 0.86 | let the radius of circle is 'r'
area of the circle which is at corner = (22/7*r^2)/4
hence the area of all four circles are = 22/7*r^2
areaof circle which is made on center of suare is = 22/7*r^2
total area of all circles are = 2*22/7*r^2...........................(1)
if we construct the diagram we get the relation
4r ... | college_mathematics | mathematics |
aquarat_50880 | deepmind/aqua_rat | For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^3 -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 | D. d) ifS4 =-7thenS1=-2. | 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 |
pythonio_508 | pythonio-mc | Program:
import re
def replace_specialchar(text):
return (re.sub("[ ,.]", ":", text))
Input:
replace_specialchar('Python language, Programming language.')
Output: | A | code | computer_science | ||
aquarat_55822 | deepmind/aqua_rat | If each data point in a certain set Q is increased by a factor of 6, what happens with the set's standard deviation? | A. Doesn't Change B. Decreases by Factor 6 C. Increases by 6 D. Increases by Factor 6 E. Can't be determined | D. Increases by Factor 6 | Standard deviation questions will always be conceptual in nature, because the GMAT does not require that you be able to calculate standard deviation.Veritasteaches a concept known as themapping strategyfor data sufficiency, which helps make a problem like this easily understandable. The mapping strategy is just looking... | high_school_statistics | mathematics |
math_1368 | math_mc | The volume of a certain rectangular solidis $216\text{ cm}^3$, its total surface area is $288\text{ cm}^2$, and its three dimensions are in geometric progression. Find the sum of the lengths in cm of all the edges of this solid.
| A | math_Intermediate Algebra | mathematics | ||
pythonio_260 | pythonio-mc | Program:
def cummulative_sum(test_list):
res = sum(map(sum, test_list))
return (res)
Input:
cummulative_sum([(3, 5), (7, 8, 9), (4, 8)])
Output: | C | code | computer_science | ||
math_1599 | math_mc | The digits of a positive integer $n$ are four consecutive integers in decreasing order when read from left to right. What is the sum of the possible remainders when $n$ is divided by $37$? | D | math_Number Theory | mathematics | ||
aquarat_14705 | deepmind/aqua_rat | Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature E in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6 | A. 29 B. 30 C. 30.5 D. 31 E. 32 | B. 30 | to find out median===>they must be arranged in ascending order.
29 29 29...(5 times)30 30 30 30.....(11 times)31 31 31.....(8 times)32 32 32 .....(6 times)
total days=5+11+8+6=30
therefore 30 numbers ...median E will be==>mean of 15 and 16 th place temperature===>(30+30)/2=30
hence B | high_school_statistics | mathematics |
aquarat_13733 | deepmind/aqua_rat | Which of the following data sets has the smallest standard deviation? | A. {3, 3, 3, 3, 3} B. {2, 3, 3, 3, 4} C. {2, 2, 2, 4, 5} D. {0, 2, 3, 4, 6} E. {-1, 1, 3, 5, 7} | A. {3, 3, 3, 3, 3} | since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..
The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...
Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVE... | high_school_statistics | mathematics |
aquarat_2377 | deepmind/aqua_rat | The nth term in a certain sequence is defined for positive integer n as 1+(−1)(n(n+1)/2)^2. What is the total of the first 64 terms of this sequence? | A. −164 B. 0 C. 16 D. 32 E. 64 | D. 32 | sequence goes like this 0 , 1, 0 , 1, 0 ...... 1(64th term)
sum of 64 terms = 32
ANSWER:D | college_mathematics | mathematics |
pythonio_514 | pythonio-mc | Program:
def sum_Of_Subarray_Prod(arr,n):
ans = 0
res = 0
i = n - 1
while (i >= 0):
incr = arr[i]*(1 + res)
ans += incr
res = incr
i -= 1
return (ans)
Input:
sum_Of_Subarray_Prod([1,2,3],3)
Output: | B | code | computer_science | ||
math_217 | math_mc | Krzysztof solved the quadratic equation $11x^2-44x-99=0$ by completing the square. In the process, he came up with the equivalent equation $$(x+r)^2 = s,$$where $r$ and $s$ are constants.
What is $r+s$? | A | math_Algebra | mathematics | ||
allenai/sciq_2110 | allenai/sciq | What term describes the rate at which a device changes electric current to another form of energy?
A. electric power
B. kilowatts
C. voltage
D. kinetic energy | A. electric power | The rate at which a device changes electric current to another form of energy is called electric power . The SI unit of power—including electric power—is the watt. A watt equals 1 joule of energy per second. High wattages are often expressed in kilowatts, where 1 kilowatt equals 1000 watts. The power of an electric dev... | electrical_engineering | engineering | |
mmlu_aux_train_96664 | mmlu_aux_train | Quartz can very easily damage
A. smelted silica
B. granite
C. diamonds
D. steel | A. smelted silica | high_school_chemistry | chemistry | ||
aquarat_48186 | deepmind/aqua_rat | If pqr = 1, the value of the expression (1 / ( 1 + p + q-1)) + (1 / ( 1 + p + r-1)) + (1 / ( 1 + p + p-1)) | A. p + q + r B. 1/ (p + q + r ) C. 1 D. p ^ (-1) + q ^ (-1) + r ^ (-1) E. None | C. 1 | Explanation :
If p = q = r = 1, then expression = 1
Check the choice only, one choice gives the value of expression = 1.
Answer : C | college_mathematics | mathematics |
mmlu_aux_train_95257 | mmlu_aux_train | One of Kangaroo's unusual features are
A. They have horns
B. They speak English
C. They can fly
D. webbed feet | D. webbed feet | high_school_biology | biology | ||
aquarat_34216 | deepmind/aqua_rat | When a=x+(3/x) and b=x-(3/x), (2^a^2)/(2^b^2)=? | A. 2 B. 4 C. 8 D. 16 E. 4096 | E. 4096 | --> (2^a^2)/(2^b^2) ={(2)^(a^2-b^2)}=2^(a-b)(a+b). Since a-b=6/x and a+b=2x, 2^(a-b)(a+b)=2^(6/x)(2x)=2^12=4096
Therefore, the answer is E | college_mathematics | mathematics |
math_2095 | math_mc | Let $a,$ $b,$ $c$ be integers such that
\[\mathbf{A} = \frac{1}{5} \begin{pmatrix} -3 & a \\ b & c \end{pmatrix}\]and $\mathbf{A}^2 = \mathbf{I}.$ Find the largest possible value of $a + b + c.$ | D | math_Precalculus | mathematics | ||
mmlu_aux_train_10232 | mmlu_aux_train | San Francisco(People's Daily Online)-- Apple Inc. Tuesday introduced its mobile payment service Apple Pay alongside the company's iPhone 6 Plus and Apple Watch at the Flint Center in Cupertino, California. What apple does is to replace consumers' wallet with its cell phone. Apple said it hopes to speed up the checkout ... | A. Apple announces mobile payment service to replace consumers' wallet. | computer_security | computer_science | ||
mmlu_aux_train_12092 | mmlu_aux_train | You're rushing to get out of the door for a meeting, but you just can't seem to find your car keys. Or you've got tickets booked for a Caribbean cruise , but your passport disappeared. Or maybe you've just come back from a grocery store tour and realized...Hey, did I leave my baby in the checkout line? Ok, you've prob... | D. Glasses Will Help Find Your Things | computer_security | computer_science | ||
allenai/sciq_7549 | allenai/sciq | What do herbivores eat?
A. animals
B. meat and plants
C. plants
D. minerals | C. plants | Herbivores eat plants, carnivores eat meat, and omnivores eat both. | high_school_biology | biology | |
mmlu_aux_train_93556 | mmlu_aux_train | Solids that are combined together and maintain their physical properties are best labeled as a
A. solute.
B. mixture.
C. solvent.
D. compound. | B. mixture. | high_school_chemistry | chemistry | ||
math_171 | math_mc | A line through the points $(2, -9)$ and $(j, 17)$ is parallel to the line $2x + 3y = 21$. What is the value of $j$? | A | math_Algebra | mathematics | ||
aquarat_73479 | deepmind/aqua_rat | Two trains each 190m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 65km/h while the other travels at 50km/h. how long will it take for them to pass each other completely. | A. 10.7 sec B. 2.7 sec C. 11.9 sec D. 12.7 sec E. 25.7 sec | C. 11.9 sec | Explanation:
D = 190 m + 190 m = 380 m
RS = 65 + 50 = 115 * 5/18 = 319/10
T = 380 * 10/319 = 11.9 sec
Answer: Option C | high_school_physics | physics |
allenai/sciq_6595 | allenai/sciq | What is the term for when gravity pulls soil, mud, and rocks down cliffs and hillsides?
A. avalanche
B. mass pressure
C. mass movement
D. mass momentum | C. mass movement | Gravity can pull soil, mud, and rocks down cliffs and hillsides. This is called mass movement. The most destructive types of mass movement are landslides and mudslides. They occur suddenly and without warming. They engulf everything in their path. | college_geology | earth_science | |
mmlu_aux_train_23009 | mmlu_aux_train | Although man has known asbestos for many hundreds of years, it was not until 160 years ago that it was mined for the first time on the North American continent. H. W. Johns, owner of a New York City Supply Shop for roofers , was responsible for(...) the opening of that first mine. Mr. Johns was given a piece of as... | C. A "wonder" mineral | college_chemistry | chemistry | ||
NLP4Education_777 | NLP4Education | A colleague challenges you to create a $(n-1,k,d_{\min})$ code $\mathcal C'$ from a $(n,k,d_{\min})$ code $\mathcal C$ as follows: given a generator matrix $G$ that generates $\mathcal C$, drop one column from $G$. Then, generate the new code with this truncated $k \times (n-1)$ generator matrix. The catch is that your... | A. $\vec s_1$ (the all-zeros vector). | college_mathematics | mathematics | ||
mmlu_aux_train_1104 | mmlu_aux_train | Roberta Monk, a famous author, had a life insurance policy with Drummond Life Insurance Company. Her son, Peter, was beneficiary. Roberta disappeared from her residence in the city of Metropolis two years ago and has not been seen since. On the day that Roberta disappeared, Sky Airlines Flight 22 left Metropolis for Ri... | A. admissible as circumstantial evidence that Roberta Monk was on the plane. | formal_logic | mathematics | ||
aquarat_7182 | deepmind/aqua_rat | For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/9 + 9^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest recipro... | A. 1/4 B. 1/5 C. 1/6 D. 1/7 E. 1/2 | E. 1/2 | For all positive integers n and m,
A(n) = (1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/5 + 5^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number,
note:i think there's a typo in the above function, A(n) could be (1 + 1/2 + 1/2^2)(1 + 1/3 +1/3^2)(1 + 1/5 +1/5^2)…(1 + 1/p_n + 1/p_n^2)
B(m) = sum of the reciproc... | college_mathematics | mathematics |
aquarat_4035 | deepmind/aqua_rat | Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land. | A. 0.0066% B. 0.066% C. 0.66PERCENT D. 6.6% E. 66% | C. 0.66PERCENT | Approximation is a strategy that helps us arrive at less than an exact number and the inclusion in this problem of the word “approximately” is an obvious clue. First, 8.076 billion is 8,076 million. Next, 8,076 million rounds to 8,000 million and 53.42 million rounds to 53 million. Dividing 53 million by 8,000 million ... | college_mathematics | mathematics |
mmlu_aux_train_67688 | mmlu_aux_train | EVERYONE is talking about bird flu . Yes it is a very dangerous disease that could make people very sick. It will be a few months before we have good medicine for bird flu.But that doesn't mean you can't do anything to prevent it now. So far, all the people who have caught bird flu have been those who touched sick chic... | A. Bird flu is widely known to people. | high_school_biology | biology | ||
math_302 | math_mc | Find the absolute value of the difference of the solutions of $x^2-5x+5=0$. | A | math_Algebra | mathematics | ||
math_1471 | math_mc | Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\] | D | math_Intermediate Algebra | mathematics | ||
pythonio_731 | pythonio-mc | Program:
def area_trapezium(base1,base2,height):
area = 0.5 * (base1 + base2) * height
return area
Input:
area_trapezium(15,25,35)
Output: | D | code | computer_science | ||
mmlu_aux_train_78247 | mmlu_aux_train | If you are not happy with China's high Internet fees and slow speed, you are not alone.So is Premier Li Keqiang.On April 14, he said in a meeting that the government should speed up the Internet and lower the fees. "The first question people ask at a new place is 'Is there WI-FI' because Internet service fees are so hi... | D. Because Internet service fees are too high. | high_school_computer_science | computer_science | ||
aquarat_91714 | deepmind/aqua_rat | There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices? | A. 6P5 B. 1 C. 5 D. None of these E. Cannot be determined | D. None of these | Solution:
Since, all the points are equally spaced; hence the area of all the convex pentagons will be same.
Answer: Option D | college_mathematics | mathematics |
pythonio_330 | pythonio-mc | Program:
def reverse_Array_Upto_K(input, k):
return (input[k-1::-1] + input[k:])
Input:
reverse_Array_Upto_K([4, 5, 6, 7], 2)
Output: | A | code | computer_science | ||
allenai/sciq_9103 | allenai/sciq | We know from what type of waves produced by earthquakes that parts of the interior of the earth are liquid?
A. electromagnetic
B. kinetic
C. volcanic
D. seismic | D. seismic | We know from seismic waves produced by earthquakes that parts of the interior of the Earth are liquid. Shear or transverse waves cannot travel through a liquid and are not transmitted through the Earth’s core. Yet compression or longitudinal waves can pass through a liquid and do go through the core. From this informat... | earth_science | earth_science | |
math_568 | math_mc | In an office at various times during the day, the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's in-box. When there is time, the secretary takes the top letter off the pile and types it. There are nine letters to be typed during the day, and the boss delive... | D | math_Counting & Probability | mathematics | ||
pythonio_143 | pythonio-mc | Program:
def count_Pairs(arr,n):
cnt = 0;
for i in range(n):
for j in range(i + 1,n):
if (arr[i] != arr[j]):
cnt += 1;
return cnt;
Input:
count_Pairs([1,2,3,4,5],5)
Output: | D | code | computer_science | ||
aquarat_5715 | deepmind/aqua_rat | If a sample of data has mean of 24 and SD of 3, which of the following values is more than 2.5 SDs from the mean? | A. a. 19 B. b. 18.5 C. c. 15 D. d. 23.5 E. e. 26.5 | C. c. 15 | Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5SD=7.5. So the value either <24-7.5=16.5 or >24+7.5=31.5.
Answer: C. | high_school_statistics | mathematics |
math_955 | math_mc | Spot's doghouse has a regular hexagonal base that measures one yard on each side. He is tethered to a vertex with a two-yard rope. What is the area, in square yards, of the region outside the doghouse that Spot can reach? Express your answer in terms of $\pi$. | D | math_Geometry | mathematics | ||
aquarat_83585 | deepmind/aqua_rat | What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = 3/4*x - 3? | A. 1.4 B. sqrt (2) C. 1.7 D. sqrt (3) E. 2.0 | A. 1.4 | (A) 1.4
eqn of circle = x^2 + y^2 = 1, center = (0,0) radius = 1
min dist of line from circle = dist of line from the center - radius
Make the distance of the line from the circle to be 0 and we see that it becomes a tangent to the circle.
Now we know if we draw a line from the center to the point where the tangent tou... | college_mathematics | mathematics |
math_1411 | math_mc | The expression
\[a^3 (b^2 - c^2) + b^3 (c^2 - a^2) + c^3 (a^2 - b^2)\]can be factored into the form $(a - b)(b - c)(c - a) p(a,b,c),$ for some polynomial $p(a,b,c).$ Find $p(a,b,c).$ | A | math_Intermediate Algebra | mathematics | ||
aquarat_47984 | deepmind/aqua_rat | If x and y are non-zero integers, and 25x^4 – 4y^4 = 5x^2 + 2y^2, which of the following could be the value of x2 in terms of y? | A. 2y^2+1/6 B. 2y^2/5 C. 2y^2 D. 2y^2+1/5 E. 2y | D. 2y^2+1/5 | 25x^4 – 4y^4 = 5x^2 + 2y^2
(5x^2 + 2y^2) (5x^2 - 2y^2) = 5x^2 + 2y^2
5x^2 - 2y^2 = 1
5x^2 = 2y^2+1
x^2 = 2y^2+1/5
Answer : D | college_mathematics | mathematics |
NLP4Education_578 | NLP4Education | Which of the following integers has the square roots $\{2,3\}$ when taken modulo $5$ \textbf{and} the square roots $\{3,10\}$ when taken modulo $13$?
A. 4
B. 9
C. 6
D. 9 | C. 6 | abstract_algebra | mathematics | ||
mmlu_aux_train_1355 | mmlu_aux_train | Which is the most basic unit of living things?
A. Cells
B. Bones
C. Tissues
D. Organs | A. Cells | high_school_biology | biology | ||
mmlu_aux_train_1063 | mmlu_aux_train | Dooley and Melville were charged with conspiracy to dispose of a stolen diamond necklace. Melville jumped bail and cannot be found. Proceeding to trial against Dooley alone, the prosecutor calls Wixon, Melville's girlfriend, to testify that Melville confided to her that "Dooley said I still owe him some of the money fr... | B. admissible as evidence of a statement against interest by Melville. | formal_logic | mathematics | ||
mmlu_aux_train_99392 | mmlu_aux_train | All predators are also carnivorous because predators
A. listen to music
B. make stuff
C. cook veggies
D. ingest flesh | D. ingest flesh | high_school_biology | biology | ||
mmlu_aux_train_1223 | mmlu_aux_train | A scientist on a field trip discovered a new organism. She examined its cells under a microscope and observed several different structures, including a nucleus, a cell wall, and some chloroplasts. This organism would correctly be classified in which of the following kingdoms?
A. Animalia
B. Monera
C. Plantae
D. Fungi | C. Plantae | high_school_biology | biology | ||
aquarat_82163 | deepmind/aqua_rat | Statement : All the organised persons find time for rest. Sunita, in-spite of her busy schedule, finds time for rest.
Conclusions :
I. Sunita is an organised person.
II. Sunita is an industrious person. | A. I only B. II only C. I and II only D. I and III only E. II and III only | D. I and III only | Sunita has a busy schedule. This means that she is industrious. But still she finds the time for rest. This means that she is an organised person.
So both conclusions follow.
Answer D) | formal_logic | mathematics |
aquarat_38297 | deepmind/aqua_rat | f(x) is a function such that f(2x + 1) = 2f(x) + 1 for all real numbers x and f(0) = 2. Find the value of f(3). | A. 9 B. 10 C. 11 D. 12 E. 15 | C. 11 | f(2x + 1) = 2f(x) + 1 : given
f(3) = 2f(1) + 1 : x = 1 in A
f(1) = 2f(0) + 1 : x = 0 in A
f(3) = 11 : substitute
correct answer is C) 11 | college_mathematics | mathematics |
mmlu_aux_train_21882 | mmlu_aux_train | Young women are more adventurous than young men when travelling abroad in gap years.One in three female backpackers visits more than three countries during a year out and travels alone, according to new research. By contrast, the majority of their male counterparts visit only one country and tend to travel in groups, ... | D. a year off between high school and college for certain purposes | high_school_statistics | mathematics | ||
mmlu_aux_train_37159 | mmlu_aux_train | One of the tough things about being a high school student is that you never seem to get enough sleep at night, which often leaves you nodding off during classes. "The best amount of sleep to get is about seven and a half to eight hours," Peter Venn at Queen Victoria Hospital, UK, told The Telegraph. Spending either... | D. About seven and a half to eight hours. | high_school_biology | biology | ||
aquarat_11075 | deepmind/aqua_rat | Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alon... | A. 6 hours and 40 minutes B. 15 minutes C. 12 minutes D. 10 minutes E. 5 minutes | E. 5 minutes | Let the movie size be 400 u.
Given,A+C=4 hrs.
A+C=100 u/hr
And A+B+C=2.5 hrs or 400/2.5=160 u/hr
B alone=160-100=60 u/hr
Trailer=80 times smaller or400/80=5 u
B will take 5/60 hrs or 5 minutes.
Ans E | college_mathematics | mathematics |
mmlu_aux_train_66215 | mmlu_aux_train | People tend to be more impressed by evidence that seems to confirm some relationship. Thus many are convinced that their dreams are prophetic because a few have come true; they fail to notice the many that have not. Consider also the belief that "the phone always rings when I'm in the shower. " If it does ring while y... | A. unfortunate events usually happen together. | formal_logic | mathematics | ||
mmlu_aux_train_70225 | mmlu_aux_train | The Internet joins millions of computers all over the world, and it's used by people all over the world. It was invented in the 1960s in the USA. The American government needed a network of computers for its army. Then in the 1970s scientists and businesspeople also wanted to use the Internet to send and receive messag... | B. In the 1960s | high_school_computer_science | computer_science | ||
math_2097 | math_mc | Let $\mathbf{a},$ $\mathbf{b},$ $\mathbf{c}$ be vectors, and let $D$ be the determinant of the matrix whose column vectors are $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}.$ Then the determinant of the matrix whose column vectors are $\mathbf{a} \times \mathbf{b},$ $\mathbf{b} \times \mathbf{c},$ and $\mathbf{c} \times... | B | math_Precalculus | mathematics | ||
mmlu_aux_train_96277 | mmlu_aux_train | Limestone is formed by water evaporating from a solution of water and mineral and a hard sedimentary rock used as building material and for making
A. lipstick
B. cement
C. lemon-lime soda
D. mineral water | B. cement | high_school_chemistry | chemistry | ||
allenai/sciq_10612 | allenai/sciq | By 180 million years ago, pangaea began to do what?
A. break up
B. combine
C. freeze
D. grow | A. break up | By 180 million years ago, Pangaea began to break up. The continents started to drift apart. They slowly moved to where they are today. The movement of the continents caused Panthalassa to break into smaller oceans. These oceans are now known as the Pacific, Atlantic, Indian, and Arctic Oceans. The waters of all the oce... | astronomy | physics | |
aquarat_46403 | deepmind/aqua_rat | 111 = O
222 = E
333 = T
444 = S
Reading and analyzing the above, can you find out the following ?
555 = ? | A. 8 B. 3 C. 1 D. 5 E. 0 | E. 0 | E
0
1 * 1 * 1 = One
2 * 2 * 2 = Eight
3 * 3 * 3 = Twenty seven
4 * 4 * 4 = Sixty Four
For all the above, you can see that the first letter of the sum is the code.
Thus 5 * 5 * 5 = One twenty five
Thus 555 = O. | formal_logic | mathematics |
allenai/sciq_1651 | allenai/sciq | Most ocean waves are caused by what?
A. animals
B. wind
C. gravity
D. radiation | B. wind | A: Most ocean waves are caused by wind blowing across the water. Moving air molecules transfer some of their energy to molecules of ocean water. The energy travels across the surface of the water in waves. The stronger the winds are blowing, the larger the waves are and the more energy they have. | conceptual_physics | physics | |
mmlu_aux_train_98230 | mmlu_aux_train | What is the most accurate statement?
A. without global warming, most days would be hotter
B. without underground water reservoirs, most days would be hotter
C. without the Sun, most days would be hotter
D. without the ocean, most days would be hotter | D. without the ocean, most days would be hotter | conceptual_physics | physics | ||
math_1999 | math_mc | What common fraction (that is, a fraction reduced to its lowest terms) is equivalent to $.3\overline{25}$? | B | math_Prealgebra | mathematics | ||
math_1112 | math_mc | In the triangle shown, for $\angle A$ to be the largest angle of the triangle, it must be that $m<x<n$. What is the least possible value of $n-m$, expressed as a common fraction? [asy]
draw((0,0)--(1,0)--(.4,.5)--cycle);
label("$A$",(.4,.5),N); label("$B$",(1,0),SE); label("$C$",(0,0),SW);
label("$x+9$",(.5,0),S); labe... | D | math_Geometry | mathematics | ||
math_1755 | math_mc | What is the smallest positive multiple of $23$ that is $4$ more than a multiple of $89$? | A | math_Number Theory | mathematics | ||
math_865 | math_mc | In pentagon $ABCDE$, $BC=CD=DE=2$ units, $\angle E$ is a right angle and $m \angle B = m \angle C = m \angle D = 135^\circ$. The length of segment $AE$ can be expressed in simplest radical form as $a+2\sqrt{b}$ units. What is the value of $a+b$? | C | math_Geometry | mathematics | ||
mmlu_aux_train_96429 | mmlu_aux_train | Salt dissolves better in a pot of water after
A. drowning in the Atlantic ocean
B. setting the burner to maximum
C. setting the burner to minimum
D. gargling salt-water in the shower | B. setting the burner to maximum | high_school_chemistry | chemistry | ||
NLP4Education_740 | NLP4Education | Check the correct statement concerning a standard-array-based decoder.
A. For the same input, the decoder output depends on the choice of the coset leader.
B. The syndrome of a given received vector varies with the choice of the coset leader.
C. Every row in the standard array corresponds to a distinct codeword.
D. The... | A. For the same input, the decoder output depends on the choice of the coset leader. | coding | computer_science | ||
mmlu_aux_train_17431 | mmlu_aux_train | It is pretty much a one-way street. While it may be common for university researchers to try their luck in the commercial world, there is very little traffic in the opposite direction. Pay has always been the biggest deterrent, as people with families often feel they cannot afford the drop in salary when moving to a un... | C. few industrial scientists would quit to work in a university | college_biology | biology | ||
math_34 | math_mc | Given that the point $(9,7)$ is on the graph of $y=f(x)$, there is one point that must be on the graph of $2y=\frac{f(2x)}2+2$. What is the sum of coordinates of that point? | A | math_Algebra | mathematics | ||
pythonio_754 | pythonio-mc | Program:
from itertools import combinations
def sub_lists(my_list):
subs = []
for i in range(0, len(my_list)+1):
temp = [list(x) for x in combinations(my_list, i)]
if len(temp)>0:
subs.extend(temp)
return subs
Input:
sub_lists([1,2,3])
Output: | A | code | computer_science | ||
mmlu_aux_train_95977 | mmlu_aux_train | When it gets dark the earliest in California it is
A. the time California is closest to the sun
B. the time Australia is closest to the sun
C. the time Europe is closest to the sun
D. the time Mexico is closest to the sun | B. the time Australia is closest to the sun | astronomy | physics | ||
mmlu_aux_train_95803 | mmlu_aux_train | Switches can be used to cease electronic energy flow, such as when
A. a button is pushed and a fan stops spinning
B. a fridge is running loudly
C. a freezer turns off in a power outage
D. a light is turned on | A. a button is pushed and a fan stops spinning | electrical_engineering | engineering | ||
pythonio_107 | 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(1)
Output: | A | code | computer_science | ||
allenai/sciq_4449 | allenai/sciq | What is the measure of an individual’s weight-to-height ratio called?
A. body density index (bdi)
B. body mass index (bmi)
C. body matter index (bmi)
D. density index (di) | B. body mass index (bmi) | Metabolism and Obesity Obesity in the United States is epidemic. The rate of obesity has been steadily rising since the 1980s. In the 1990s, most states reported that less than 10 percent of their populations was obese, and the state with the highest rate reported that only 15 percent of their population was considered... | high_school_biology | biology | |
aquarat_5444 | deepmind/aqua_rat | How many zeroes are there at the end of the number N, if N = 90! + 180! ? | A. 15 B. 18 C. 21 D. 24 E. 27 | C. 21 | The number of zeroes at the end of 90! will be less than the number of zeroes at the end of 180!
Hence it is sufficient to calculate the number of zeroes at the end of 90!
The number of zeroes = [90/5] + [90/25] + [90/125] = 18 + 3 + 0 = 21
The answer is C. | college_mathematics | mathematics |
mmlu_aux_train_2159 | mmlu_aux_train | Which of the following does not affect the strength of an electromagnet?
A. number of times the wire is looped around the core
B. size of the object being attracted by the core
C. type of material in the core
D. amount of material in the core | B. size of the object being attracted by the core | electrical_engineering | engineering | ||
math_1828 | math_mc | At a party, each man danced with exactly three women and each woman danced with exactly two men. Twelve men attended the party. How many women attended the party? | A | math_Prealgebra | mathematics | ||
allenai/sciq_6534 | allenai/sciq | What element can form two different compounds with oxygen?
A. dioxide
B. H20
C. carbon
D. hydrogen | C. carbon | Carbon can form two different compounds with oxygen. | high_school_chemistry | chemistry | |
allenai/sciq_4548 | allenai/sciq | Which type of bryophytes are named for their horn-like sporophytes?
A. flatworms
B. tapeworms
C. hornworts
D. arthropods | C. hornworts | Liverworts, hornworts, and mosses are modern bryophytes. Liverworts are named for the liver-shaped leaves of some species. Hornworts are named for their horn-like sporophytes. | high_school_biology | biology | |
pythonio_284 | pythonio-mc | Program:
def get_median(arr1, arr2, n):
i = 0
j = 0
m1 = -1
m2 = -1
count = 0
while count < n + 1:
count += 1
if i == n:
m1 = m2
m2 = arr2[0]
break
elif j == n:
m1 = m2
m2 = arr1[0]
break
if arr1[i] <= arr2[j]:
m1 = m2
m2 = ar... | B | code | computer_science | ||
math_1024 | math_mc | Point $F$ is taken on the extension of side $AD$ of parallelogram $ABCD$. $BF$ intersects diagonal $AC$ at $E$ and side $DC$ at $G$. If $EF = 32$ and $GF = 24$, then $BE$ equals:
[asy] size(7cm); pair A = (0, 0), B = (7, 0), C = (10, 5), D = (3, 5), F = (5.7, 9.5); pair G = intersectionpoints(B--F, D--C)[0]; pair E = i... | A | math_Geometry | mathematics | ||
allenai/sciq_10856 | allenai/sciq | Wine, air, and gunpowder are all examples of what kind of common mixtures?
A. homogeneous
B. contiguous
C. heterogeneous
D. combined | A. homogeneous | Wine, air, and gunpowder are other examples of common homogeneous mixtures ( Figure below ). Their exact compositions can vary, making them mixtures rather than pure substances. Wine is a liquid mixture of water, ethanol, and a variety of other dissolved substances. Air is a mixture of nitrogen gas (78%), oxygen gas (2... | high_school_chemistry | chemistry | |
pythonio_838 | pythonio-mc | Program:
def previous_palindrome(num):
for x in range(num-1,0,-1):
if str(x) == str(x)[::-1]:
return x
Input:
previous_palindrome(1221)
Output: | A | code | computer_science | ||
aquarat_5375 | deepmind/aqua_rat | An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks? | A. 21548 B. 31502 C. 21250 D. 30240 E. 84045 | D. 30240 | Number of ways of choosing 5 stocks = 10C5
Number of ways of ranking the chosen stocks = 5!
Hence total ways of chosing and ranking = 10C5 * 5! = 30240
Correct Option: D | college_mathematics | mathematics |
allenai/sciq_5072 | allenai/sciq | Fine-grained mud in the deep ocean comes from silts and clays brought from the land by?
A. wind
B. waves
C. water
D. fire | A. wind | Fine-grained mud in the deep ocean comes from silts and clays brought from the land by wind. The particles are deposited on the sea surface. they slowly settle to the deep ocean floor, forming brown, greenish, or reddish clays. Volcanic ash may also settle on the seafloor. | earth_science | earth_science |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.