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 |
|---|---|---|---|---|---|---|---|
mmlu_aux_train_96469 | mmlu_aux_train | The moon is always illustrated in movies and drawings as being very rough and bumpy due to craters, but there are many areas that are
A. smooth
B. Earth
C. rainbow
D. edible | A. smooth | astronomy | physics | ||
mmlu_aux_train_25912 | mmlu_aux_train | Do you remember the good old days? Innocent times spent sharing documents and executable files without a care in the world. Okay, every month or so you might encounter a boot sector virus -- but they were easy to deal with even if the anti-virus software didn't pick them up. But those long lazy summers disappeared ... | B. Employees should be constantly warned about virus threats to ensure the normal functioning of the company's computer system. | computer_security | computer_science | ||
pythonio_860 | pythonio-mc | Program:
def chunk_tuples(test_tup, N):
res = [test_tup[i : i + N] for i in range(0, len(test_tup), N)]
return (res)
Input:
chunk_tuples((10, 4, 5, 6, 7, 6, 8, 3, 4), 3)
Output: | B | code | computer_science | ||
math_1727 | math_mc | How many distinct prime factors does the sum of the positive divisors of $400$ have? | A | math_Number Theory | mathematics | ||
math_1342 | math_mc | If $a,b,c>0$, find the smallest possible value of
\[\left\lfloor{\frac{a+b}{c}}\right\rfloor+\left\lfloor{\frac{b+c}{a}}\right\rfloor+\left\lfloor{\frac{c+a}{b}}\right\rfloor.\](Note that $\lfloor{x}\rfloor$ denotes the greatest integer less than or equal to $x$.) | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_69067 | mmlu_aux_train | "How many common English words were invented by Shakespeare?" How long did it take people to find the answer to this question 15 years ago? And now! you can google it and find the answer immediately! Google is the most popular Internet search engine in the world. It was invented by two students, Larry Page and Sergey B... | C. he or she wanted to make the readers interested in this passage | high_school_computer_science | computer_science | ||
math_1186 | math_mc | Let $a,$ $b,$ $c$ be distinct complex numbers such that
\[\frac{a}{1 - b} = \frac{b}{1 - c} = \frac{c}{1 - a} = k.\]Find the sum of all possible values of $k.$ | C | math_Intermediate Algebra | mathematics | ||
math_2223 | math_mc | Find the sum of all positive real solutions $x$ to the equation \[2\cos2x \left(\cos2x - \cos{\left( \frac{2014\pi^2}{x} \right) } \right) = \cos4x - 1,\]where $x$ is measured in radians. | A | math_Precalculus | mathematics | ||
math_2115 | math_mc | Triangles $ABC$ and $AEF$ are such that $B$ is the midpoint of $\overline{EF}.$ Also, $AB = EF = 1,$ $BC = 6,$ $CA = \sqrt{33},$ and
\[\overrightarrow{AB} \cdot \overrightarrow{AE} + \overrightarrow{AC} \cdot \overrightarrow{AF} = 2.\]Find the cosine of the angle between vectors $\overrightarrow{EF}$ and $\overrightar... | A | math_Precalculus | mathematics | ||
math_465 | math_mc | Let $\mathcal{S}$ be the set $\lbrace1,2,3,\ldots,10\rbrace$ Let $n$ be the number of sets of two non-empty disjoint subsets of $\mathcal{S}$. (Disjoint sets are defined as sets that have no common elements.) Find the remainder obtained when $n$ is divided by $1000$.
| D | math_Counting & Probability | mathematics | ||
allenai/sciq_11499 | allenai/sciq | What device uses an electromagnet to change electrical energy to kinetic energy?
A. electric motor
B. public motor
C. Magnetic motor.
D. melodic motor | A. electric motor | An electric motor is a device that uses an electromagnet to change electrical energy to kinetic energy. When current flows through the motor, the electromagnet rotates, causing a shaft to rotate as well. The rotating shaft moves other parts of the device. | electrical_engineering | engineering | |
allenai/sciq_5154 | allenai/sciq | Rich in protein and nutrients, what abundant group of organisms is being touted as an important human dietary source?
A. insects
B. fruits
C. primates
D. fungus | A. insects | In some parts of the world, insects are used for food by humans. Insects are a rich source of protein, vitamins, and minerals, and are prized as delicacies in many third-world countries. In fact, it is difficult to find an insect that is not eaten in one form or another by people. Among the most popular are cicadas, lo... | high_school_biology | biology | |
pythonio_733 | pythonio-mc | Program:
def Sum(N):
SumOfPrimeDivisors = [0]*(N + 1)
for i in range(2,N + 1) :
if (SumOfPrimeDivisors[i] == 0) :
for j in range(i,N + 1,i) :
SumOfPrimeDivisors[j] += i
return SumOfPrimeDivisors[N]
Input:
Sum(39)
Output: | B | code | computer_science | ||
allenai/sciq_139 | allenai/sciq | What are living things that obtain glucose by eating self feeders called?
A. viruses
B. producers
C. heterotrophs
D. chimeras | C. heterotrophs | Types of organisms that make glucose by photosynthesis are pictured in Figure below . They include plants, plant-like protists such as algae, and some kinds of bacteria. Living things that make glucose are called autotrophs ("self feeders"). All other living things obtain glucose by eating autotrophs (or organisms that... | high_school_biology | biology | |
pythonio_165 | 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([7, 8, 9, 0, 1, 1])
Output: | D | code | computer_science | ||
mmlu_aux_train_56153 | mmlu_aux_train | April 22,2010 will be the 18th celebration of the annual Take Our Daugluers to Work Day (TOD), a project the National Ms.Foundation for Women of America (NFW) developed to expose girls to expanding opportunities for women in the workplace. The program offers, millions of girls a first - hand view of the many career opp... | C. to show girls possibilities for work and careers | high_school_computer_science | computer_science | ||
allenai/sciq_7745 | allenai/sciq | What contains more calcium than any other organ?
A. fingernails
B. gall bladder
C. bones
D. lungs | C. bones | Storage. Bones store calcium. They contain more calcium than any other organ. Calcium is released by the bones when blood levels of calcium drop too low. The mineral, phosphorus is also stored in bones. | high_school_biology | biology | |
aquarat_20256 | deepmind/aqua_rat | How many necklace of 12 beads each can be made from 18 beads of different colours? | A. 18!(6 x 29) B. 18!(6 x 21) C. 18!(6 x 24) D. 18!(6 x 22) E. 18!(6 x 44) | C. 18!(6 x 24) | Explanation:
Here clock-wise and anti-clockwise arrangements are same.
Hence total number of circular–permutations: \inline {\color{Black} \frac{18P_{12}}{2\times 12}} = \inline {\color{Black} \frac{18!}{6\times 24}}
Answer: C) 18!(6 x 24) | college_mathematics | mathematics |
math_1127 | math_mc | For an arithmetic sequence $a_1,$ $a_2,$ $a_3,$ $\dots,$ let
\[S_n = a_1 + a_2 + a_3 + \dots + a_n,\]and let
\[T_n = S_1 + S_2 + S_3 + \dots + S_n.\]If you are told the value of $S_{2019},$ then you can uniquely determine the value of $T_n$ for some integer $n.$ What is this integer $n$? | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_1195 | mmlu_aux_train | Lemon juice turns litmus paper red, is corrosive and tastes sour. Lemon juice is classified as
A. an acid.
B. a base.
C. an element.
D. More information is needed to classify lemon juice. | A. an acid. | high_school_chemistry | chemistry | ||
math_1139 | math_mc | A function $f(x)$ is defined for all real numbers $x$. For all non-zero values $x$, we have
\[2f\left(x\right) + f\left(\frac{1}{x}\right) = 5x + 4\]
Let $S$ denote the sum of all of the values of $x$ for which $f(x) = 2004$. Compute the integer nearest to $S$.
| D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_10701 | allenai/sciq | Lead shielding is used to block what type of rays?
A. alpha
B. ultraviolet
C. gamma
D. toxic | C. gamma | Look at the classroom in Figure below . It has several sources of visible light. One source of visible light is the sun. Sunlight enters the classroom through the windows. The sun provides virtually all of the visible light that living things need. Visible light travels across space from the sun to Earth in electromagn... | high_school_physics | physics | |
pythonio_886 | pythonio-mc | Program:
def series_sum(number):
total = 0
total = (number * (number + 1) * (2 * number + 1)) / 6
return total
Input:
series_sum(7)
Output: | C | code | computer_science | ||
aquarat_43259 | deepmind/aqua_rat | Sun Life Insurance company issues standard, preferred and ultra-preferred policies. Among the company's policy holders of a certain age, 50 are standard with the probability of 0.01 dying in the next year, 30 are preferred with a probability of 0.008 of dying in the next year and 20 are ultra-preferred with a probabili... | A. 0.1591 B. 0.2727 C. 0.375 D. 0.2767 E. None of these | B. 0.2727 | Explanation :
The percentage of three different types of policy holders and the corresponding probability of dying in the next 1 year are as follow :
Type, Standard, Preferred, Ultra-Preferred
Percentage , 50 , 30, 20
Probability, 0.01 , 0.008, 0.007
The expected number of deaths among all the policy holders of the giv... | high_school_statistics | mathematics |
aquarat_28809 | deepmind/aqua_rat | What is the solution of the following simultaneous equations?
x + y + z = 6, x + 2y + 3z = 14 and x + 3y + z = 10 | A. 3 B. 7 C. 8 D. 1 E. 2 | A. 3 | x + y + z = 6 .... (i)
x + 2y + 3z = 14 .... (ii)
x + 3y + z = 10
From (i), we get z = 6 - x - y
Substitute it in (ii) and (iii)
We have from (ii)
x + 2y + 18 - 3x - 3y = 14 or 2x + y = 4
Similarily, from (iii)
x + 3y + 6 - x - y = 10 or 2y = 4 or y = 2
On solving, we get y = 2, x = 1, z = 3.
Answer:A | college_mathematics | mathematics |
aquarat_39187 | deepmind/aqua_rat | In a 8*8 chess board, what is the total number of squares refer model? | A. 201 B. 202 C. 203 D. 204 E. 205 | D. 204 | 1x1 8 8 64
2x2 7 7 49
3x3 6 6 36
4x4 5 5 25
5x5 4 4 16
6x6 3 3 9
7x7 2 2 4
8x8 1 1 1
total 204
ANSWER:D | college_mathematics | mathematics |
math_1235 | math_mc | Find the smallest solution to the equation \[\lfloor x^2 \rfloor - \lfloor x \rfloor^2 = 17.\] | B | math_Intermediate Algebra | mathematics | ||
aquarat_67836 | deepmind/aqua_rat | A boat having a length 5 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is: | A. 100 kg B. 60 kg C. 72 kg D. 96 kg E. None of these | A. 100 kg | Explanation:
Volume of water displaced = (5 x 2 x 0.01) m3
= 0.10 m3.
∴ Mass of man = Volume of Water displaced x Density of water
= (0.10 x 1000)kg
= 100 kg.
Answer: A | conceptual_physics | physics |
aquarat_49089 | deepmind/aqua_rat | If the current in a circuit equals 0 A, it is likely that the | A. 22 B. 37 C. 36 D. 28 E. 22 | D. 28 | Answer: Option D | electrical_engineering | engineering |
allenai/sciq_1100 | allenai/sciq | What type of field does earth have?
A. magnetic
B. force field
C. atmospheric
D. seismic | A. magnetic | Earth has a magnetic field ( Figure below ). The magnetic field has north and south poles. The field extends several thousand kilometers into space. Earth’s magnetic field is created by the movements of molten metal in the outer core. | earth_science | earth_science | |
allenai/sciq_6632 | allenai/sciq | When two plates of continental crust collide, the material pushes upward and forms what?
A. high mountain range
B. fault lines
C. low mountain range
D. valleys | A. high mountain range | When two plates of continental crust collide, the material pushes upward. This forms a high mountain range. The remnants of subducted oceanic crust remain beneath the continental convergence zone. | earth_science | earth_science | |
allenai/sciq_6743 | allenai/sciq | What compound gives tarnished copper it's green color?
A. brass
B. bronze
C. zinc
D. copper carbonate | D. copper carbonate | A: The copper has become tarnished. The tarnish—also called patina—is a compound called copper carbonate, which is green. Copper carbonate forms when copper undergoes a chemical reaction with carbon dioxide in moist air. The green patina that forms on copper actually preserves the underlying metal. That’s why it’s not ... | high_school_chemistry | chemistry | |
math_237 | math_mc | The circle centered at $(2,-1)$ and with radius $4$ intersects the circle centered at $(2,5)$ and with radius $\sqrt{10}$ at two points $A$ and $B$. Find $(AB)^2$. | A | math_Algebra | mathematics | ||
mmlu_aux_train_59988 | mmlu_aux_train | Visiting animals in their natural homes may sound like a great idea that helps to save them, but is it ? Researchers writing in Trends in Ecology & Evolution on Oct9 said that the interactions between wild animals and friendly eco-tourists who want to take their pictures may put animals at greater risk of being eaten. ... | C. the changes brought by eco-tourism may be harmful. | college_biology | biology | ||
mmlu_aux_train_68409 | mmlu_aux_train | It's Saturday morning and Tony's sitting at the kitchen table, staring into space and playing with a piece of bread. He's not even hungry. Is he ill? No, but he does have a problem. He has nothing to do and there's just one reason: the Internet is down and Tony has nothing to do. When he woke up this morning, Tony was ... | D. because the Internet was down | high_school_computer_science | computer_science | ||
mmlu_aux_train_96293 | mmlu_aux_train | Places lacking warmth have few what
A. biological entities
B. biological weapons
C. cold entities
D. astronomical entities | A. biological entities | high_school_biology | biology | ||
allenai/sciq_2419 | allenai/sciq | Where is glucose carried in the human body?
A. the heart
B. the blood
C. the liver
D. the brain | B. the blood | Chemical energy that organisms need comes from food. The nearly universal food for life is the sugar glucose. Glucose is a simple carbohydrate with the chemical formula C 6 H 12 O 6 . The glucose molecule stores chemical energy in a concentrated, stable form. In your body, glucose is the form of energy that is carried ... | high_school_biology | biology | |
math_1140 | math_mc | Find the largest constant $C$ so that
\[x^2 + y^2 + 1 \ge C(x + y)\]for all real numbers $x$ and $y.$ | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_4862 | mmlu_aux_train | Which is an example of melting?
A. Flowing water making a rock smooth
B. A carrot becoming soft when cooked
C. Sugar mixed into tea making the tea sweet
D. Butter changing into liquid in a warm pan | D. Butter changing into liquid in a warm pan | high_school_chemistry | chemistry | ||
math_654 | math_mc | The numbers $1447$, $1005$ and $1231$ have something in common: each is a $4$-digit number beginning with $1$ that has exactly two identical digits. How many such numbers are there?
| C | math_Counting & Probability | mathematics | ||
math_1001 | math_mc | The square with vertices $(-a, -a), (a, -a), (-a, a), (a, a)$ is cut by the line $y = x/2$ into congruent quadrilaterals. The perimeter of one of these congruent quadrilaterals divided by $a$ equals what? Express your answer in simplified radical form. | C | math_Geometry | mathematics | ||
mmlu_aux_train_32274 | mmlu_aux_train | The deep sea is one of the most mysterious places on earth. Scientists rarely go there. Those few do discover new species all of the time. Many places of the deepest parts of the ocean, where it's forever dark, can light up. Now, a teen's research has shown new light on how one of these swimming animals behaves in dark... | D. a kind of glowing fish has been found there. | high_school_biology | biology | ||
math_2116 | math_mc | On the complex plane, the parallelogram formed by the points 0, $z,$ $\frac{1}{z},$ and $z + \frac{1}{z}$ has area $\frac{35}{37}.$ If the real part of $z$ is positive, let $d$ be the smallest possible value of $\left| z + \frac{1}{z} \right|.$ Compute $d^2.$ | D | math_Precalculus | mathematics | ||
pythonio_558 | pythonio-mc | Program:
def extract_index_list(l1, l2, l3):
result = []
for m, n, o in zip(l1, l2, l3):
if (m == n == o):
result.append(m)
return result
Input:
extract_index_list([1, 1, 3, 4, 6, 5, 6],[0, 1, 2, 3, 4, 5, 7],[0, 1, 2, 3, 4, 5, 7])
Output: | C | code | computer_science | ||
mmlu_aux_train_14198 | mmlu_aux_train | One day when I opened my email, a beautiful woman named Rachel appeared on my computer screen. She greeted me by name and started talking with great enthusiasm. Every now and then she stopped to smile at me or blow a kiss. It was pretty cool. Rachel was there thanks to Facemail. Facemail lets you send email that ... | B. have the email read in a more lovely way | computer_security | computer_science | ||
aquarat_81559 | deepmind/aqua_rat | IF THE PROBABILITY is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails? | A. 0.064 B. 0.36 C. 0.64 D. 0.784 E. 0.936 | E. 0.936 | probability that at least one of the tosses will turn up tails = 1 - probability that all will be heads
= 1 - (0.4*0.4*0.4)
= 1 - 0.064
= 0.936 E | high_school_statistics | mathematics |
aquarat_19025 | deepmind/aqua_rat | If TIER is written as 8163 and BRAIN is written as 23415, how is RENT coded ? | A. 3653 B. 3658 C. 2977 D. 2790 E. 2711 | B. 3658 | Explanation:
Given :
Letter : T I E R B A N
Code : 8 1 6 3 2 4 5
Thus, the code for RENT is 3658.
ANSWER:B | abstract_algebra | mathematics |
mmlu_aux_train_93343 | mmlu_aux_train | The Grand Canyon is an example of
A. erosion.
B. deposition.
C. an earthquake.
D. volcanic activity. | A. erosion. | high_school_physics | physics | ||
aquarat_72219 | deepmind/aqua_rat | A researcher computed the mean, the median, and the standard deviation Y for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change? | A. The mean only B. The median only C. The standard deviation only D. The mean and the median E. The mean and the standard deviation | D. The mean and the median | If we add or subtract a constant to each term in a set the standard deviation Y will not change..
If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.
Answer: D. | high_school_statistics | mathematics |
mmlu_aux_train_2619 | mmlu_aux_train | Which event takes the most time to produce measurable changes?
A. flooding
B. earthquake
C. soil erosion
D. volcanic eruption | C. soil erosion | earth_sciences | earth_science | ||
aquarat_73003 | deepmind/aqua_rat | In how many ways can a group of 11 friends be seated round 2 tables if one of the tables can seat 7 and the other can seat 4 people? | A. 11C6 * 9! *4! B. 11C3 * 6! *3! C. 15C4 * 9! *3! D. 15C2 * 10! *3! E. 16C5 * 10! *4! | B. 11C3 * 6! *3! | 7 people can be selected from 11 people in 11C7 ways.
Remaining 4 people can be selected from 4 people in 4C4 ways.
Now, arranging 7 people on a round table = (7-1) ! = 6!
Arranging 4 people on a round table = (4-1) ! = 3!
Hence, total number of ways = 11C7 * 6! * 4C4 * 3!
= 11C3 * 6! * 3!
B | college_mathematics | mathematics |
allenai/sciq_11629 | allenai/sciq | How can you calculate the density of matter?
A. by subtracting mass from volume
B. by dividing its volume by its mass
C. by multiplying its mass by its volume
D. by dividing its mass by its volume | D. by dividing its mass by its volume | The density of matter can be calculated by dividing its mass by its volume. | conceptual_physics | physics | |
allenai/sciq_9611 | allenai/sciq | What decay produces helium nuclei?
A. radiative decay
B. alpha decay
C. Beta Decay
D. duo decay | B. alpha decay | A final effect of this trapped radiation merits mention. Alpha decay produces helium nuclei, which form helium atoms when they are stopped and capture electrons. Most of the helium on Earth is obtained from wells and is produced in this manner. Any helium in the atmosphere will escape in geologically short times becaus... | college_physics | physics | |
mmlu_aux_train_10317 | mmlu_aux_train | People are being lured onto Facebook with the promise of a fun, free service without realizing they're paying for it by giving up large amounts of personal information. Facebook then attempts to make money by selling their data to advertisers that want to send targeted messages. Most Facebook users don't realize this ... | B. They don't know their personal data enriches Facebook. | computer_security | computer_science | ||
math_1346 | math_mc | Let $x$ and $y$ be real numbers greater than 1 such that
\[(\log_2 x)^4 + (\log_3 y)^4 + 8 = 8 (\log_2 x)(\log_3 y).\]Compute $x^{\sqrt{2}} + y^{\sqrt{2}}.$ | A | math_Intermediate Algebra | mathematics | ||
allenai/sciq_8786 | allenai/sciq | Which is the process through which leaves collect sunlight and make food?
A. Greenhouse
B. photosynthesis
C. richness
D. compress | B. photosynthesis | Leaves are the keys not only to plant life but to virtually all life on land. The primary role of leaves is to collect sunlight and make food by photosynthesis. Leaves vary in size, shape, and how they are arranged on stems. You can see examples of different types of leaves in Figure below . | high_school_biology | biology | |
mmlu_aux_train_23642 | mmlu_aux_train | When a handheld video game runs out of power,all you have to do is plug it in and charge it up.Within a few years,some of you might do the same thing with mom's car.Automobile companies are developing vehicles that will plugin to electric sockets ,just like many laptops,digital cameras,cellphones and small video game... | C. the developing | electrical_engineering | engineering | ||
pythonio_187 | pythonio-mc | Program:
def catalan_number(num):
if num <=1:
return 1
res_num = 0
for i in range(num):
res_num += catalan_number(i) * catalan_number(num-i-1)
return res_num
Input:
catalan_number(10)
Output: | C | code | computer_science | ||
mmlu_aux_train_827 | mmlu_aux_train | Sixty years ago by a properly executed and recorded deed, Albert conveyed Greenacre, a tract of land: "To Louis for life, then to Louis's widow for her life, then to Louis's child or children in equal shares." At that time, Louis, who was Albert's grandson, was six years old. Shortly thereafter, Albert died testate. Lo... | D. Zelda for life under the terms of Albert's deed, with the remainder to the American Red Cross as the successor in interest to Norman, Louis's only child. | formal_logic | mathematics | ||
allenai/sciq_1833 | allenai/sciq | What type of energy occurs by splitting the nuclei of radioactive uranium?
A. kinetic
B. atomic
C. microwave
D. nuclear | D. nuclear | Nuclear energy is produced by splitting the nuclei of radioactive uranium. This doesn’t release air pollution or carbon dioxide, but it does produce dangerous radioactive wastes. | high_school_physics | physics | |
math_131 | math_mc | Alex needs to borrow $\$10,\!000$ from the bank. The bank gives him two options.
1. A ten-year loan with an annual interest rate of $10\%$ compounded quarterly, with the condition that at the end of 5 years, Alex must make a payment equal to half of what he owes. The other half continues to accrue interest, and at th... | C | math_Algebra | mathematics | ||
mmlu_aux_train_1841 | mmlu_aux_train | A student stirred some sand into a container of water and left the mixture alone for several hours until the sand settled on the bottom of the container. Which statement best explains why the sand separated from the water?
A. Sand particles are denser than water.
B. Water is a liquid and sand is a solid.
C. The sand w... | A. Sand particles are denser than water. | high_school_physics | physics | ||
NLP4Education_184 | NLP4Education | When using linear regression, how do you help prevent numerical instabilities? (One or multiple answers)
A. Increase the learning rate
B. Remove degenerate features
C. Add irrelevant features
D. Use a larger batch size | B. Remove degenerate features | machine_learning | computer_science | ||
aquarat_41663 | deepmind/aqua_rat | A chartered bank offers a five-year Escalator Guaranteed Investment Certificate.In successive years it pays annual interest rates of 4%, 4.5%, 5%, 5.5%, and 6%, respectively, compounded at the end of each year. The bank also offers regular five-year GICs paying a fixed rate of 5% compounded annually. Calculate and comp... | A. 1276.28 B. 1276.22 C. 1276.29 D. 1276.21 E. 1276.23 | A. 1276.28 | Explanation:
FV = $1000(1.04)(1.045)(1.05)(1.055)(1.06) = $1276.14
the maturity value of the regular GIC is
FV = $= $1276.28
Answer: A) 1276.28 | college_mathematics | mathematics |
allenai/sciq_10400 | allenai/sciq | What is a controlled scientific test that often takes place in a lab?
A. a viewing
B. an experiment
C. an observeration
D. a testing | B. an experiment | An experiment is a controlled scientific test that often takes place in a lab. It investigates the effects of an independent variable on a dependent variable. | college_biology | biology | |
math_973 | math_mc | Three vertices of a cube are $P=(7,12,10)$, $Q=(8,8,1)$, and $R=(11,3,9)$. What is the surface area of the cube?
| D | math_Geometry | mathematics | ||
mmlu_aux_train_11485 | mmlu_aux_train | As you dash outdoors in the middle of winter, you might make it halfway down the block before realizing that your ears are freezing because you forgot your hat. Now, scientists have shown that even though you've had an apparent memory lapse , your brain never forgot what you should have done. Ww w.ks 5u.c om Memory wo... | B. memory and association | college_biology | biology | ||
mmlu_aux_train_2056 | mmlu_aux_train | Which is true about reproduction for both an amoeba and a paramecium?
A. Both can conjugate.
B. Neither can conjugate.
C. An amoeba can conjugate, but a paramecium cannot.
D. A paramecium can conjugate, but an amoeba cannot. | D. A paramecium can conjugate, but an amoeba cannot. | high_school_biology | biology | ||
allenai/sciq_11336 | allenai/sciq | What is the name for compounds that contain only carbon and hydrogen?
A. particles
B. hydrocarbons
C. carbohydrates
D. carbides | B. hydrocarbons | The fuel that burns in a combustion reaction contains compounds called hydrocarbons. Hydrocarbons are compounds that contain only carbon (C) and hydrogen (H). The charcoal pictured in the Figure above consists of hydrocarbons. So do fossil fuels such as natural gas. Natural gas is a fuel that is commonly used in home f... | high_school_chemistry | chemistry | |
math_935 | math_mc | Let $C_1$ and $C_2$ be circles defined by $$
(x-10)^2+y^2=36
$$and $$
(x+15)^2+y^2=81,
$$respectively. What is the length of the shortest line segment $\overline{PQ}$ that is tangent to $C_1$ at $P$ and to $C_2$ at $Q$? | B | math_Geometry | mathematics | ||
mmlu_aux_train_59368 | mmlu_aux_train | If you do not use your arms or your legs for some time, they become weak; when you start using them again, they slowly become strong again. Everybody knows that. Yet many people do not seem to know that memory works in the same way. When someone says that he has a good memory, he really means that he keeps his memory i... | D. they become weak and won't become strong until you use them again | high_school_biology | biology | ||
aquarat_33883 | deepmind/aqua_rat | A 8% stock yields 20%. The market value of the stock is: | A. Rs 48 B. Rs 45 C. Rs 40 D. Rs 50 E. Rs 55 | C. Rs 40 | Explanation:
For an income of Rs. 20, investment = Rs. 100.
For an income of Rs 8, investment =Rs.100/20 X8 =Rs 40
Market value of Rs. 100 stock = Rs 40
Answer is C | college_mathematics | mathematics |
allenai/sciq_5009 | allenai/sciq | A hydraulic jack that makes it possible to lift a car easily is an example of what, meaning it produces mechanical advantages?
A. simple weapon
B. simple machine
C. quantum physics
D. complex machines | B. simple machine | A person is able to lift the entire rear end of the automobile using only one hand with the hydraulic jack shown in the image. Hydraulic systems are similar to simple machines in that they can produce very large mechanical advantages. | conceptual_physics | physics | |
aquarat_87357 | deepmind/aqua_rat | Gabriela’s grade was in the 90th percentile out of 100 grades in her class. In another class of 100 students there were 80 grades lower than Gabriela’s. If nobody had Gabriela’s grade, then Gabriela was what percentile of the two classes combined? | A. 90 B. 85 C. 80 D. 75 E. 70 | D. 75 | Being in 90% percentile out of 100 grades means was 91st (from the least grade) in the class (as long as nobody had Gabriela 's grades), she outscored 90.
In another class her grade would rank her 61 (from the least grade out of 101, 100+ Gabriela), 60 had the grades lower than Gabriela.
So in combined classes she outs... | high_school_statistics | mathematics |
allenai/sciq_9322 | allenai/sciq | What is produced during the hydrogenation of vegetable oils?
A. partially-hydrogenated fatty acids
B. rich fatty acids
C. trans fatty acids
D. complete fatty acids | C. trans fatty acids | taste, and nutrition of butter. (Preservatives and antioxidants are also added. ) In most commercial peanut butter, the peanut oil has been partially hydrogenated to prevent it from separating out. Consumers could decrease the amount of saturated fat in their diet by using the original unprocessed oils on their foods, ... | college_chemistry | chemistry | |
NLP4Education_816 | NLP4Education | Which of the following sets can you use Cantor’s Diagonalization Argument to prove it is uncountable (multiple answers)?
A. The set of decimal representations of negative real numbers.
B. The set of binary strings with finite length (i.e., 01, 10, 010, ...).
C. Integers between 0 and 1.
D. Real numbers not containing 7... | D. Real numbers not containing 7 in their decimal representation. | college_mathematics | mathematics | ||
math_1653 | math_mc | Find the least odd prime factor of $2019^8+1$.
| B | math_Number Theory | mathematics | ||
mmlu_aux_train_98525 | mmlu_aux_train | Scavengers eat dead what?
A. fauna
B. stars
C. meteors
D. dreams | A. fauna | high_school_biology | biology | ||
NLP4Education_641 | NLP4Education | For $K$ a field, $a,b\in K$ with $4a^3+27b^2 \neq 0$, $E_{a,b}(K)$ is
A. a field.
B. a ring.
C. a group.
D. a ciphertext. | C. a group. | abstract_algebra | mathematics | ||
NLP4Education_293 | NLP4Education | (Stochastic Gradient Descent) One iteration of standard SGD for SVM, logistic regression and ridge regression costs roughly $\mathcal{O}(D)$, where $D$ is the dimension of a data point.
A. Always true
B. False for all three models
C. Only true for SVM and logistic regression
D. Only true for ridge regression | A. Always true | machine_learning | computer_science | ||
aquarat_88320 | deepmind/aqua_rat | f1 (x) = x 0 ≤ x ≤ 1
= 1 x ≥ 1
= 0 otherwise
f2 (x) = f1(–x) for all x
f3 (x) = –f2(x) for all x
f4 (x) = f3(–x) for all x
How many of the following products are necessarily zero for every x:
f1(x) f2 (x), f2 (x) f3 (x), f2(x) f4 (x) | A. 0 B. 1 C. 2 D. 3 E. 4 | C. 2 | Explanation :
We have to consider positive and negative numbers for all the cases.
f1(x) is positive for positive numbers, and 0 for negative numbers. (0 for x = 0)
f2(x) is 0 for positive numbers, and positive for negative numbers. (0 for x = 0)
f3(x) is 0 for positive numbers, and negative for negative numbers. (0 fo... | college_mathematics | mathematics |
math_972 | math_mc | In $\triangle ABC$ points $D$ and $E$ lie on $\overline{BC}$ and $\overline{AC}$, respectively. If $\overline{AD}$ and $\overline{BE}$ intersect at $T$ so that $AT/DT=3$ and $BT/ET=4$, what is $CD/BD$?
[asy]
pair A,B,C,D,I,T;
A=(0,0);
B=(6,8);
C=(11,0);
D=(9.33,2.66);
I=(7.5,0);
T=(6.5,2);
label("$T$",T,NW);
label("$... | C | math_Geometry | mathematics | ||
aquarat_81730 | deepmind/aqua_rat | If a^2bc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1 | A. I B. none C. II D. III E. I&II | B. none | B | abstract_algebra | mathematics |
NLP4Education_118 | NLP4Education | The number of non-zero entries in a column of a term-document matrix indicates:
A. how many terms of the vocabulary a document contains
B. how often each term of the vocabulary occurs across all documents
C. how many documents contain a particular term
D. the total number of unique documents | A. how many terms of the vocabulary a document contains | college_computer_science | computer_science | ||
math_95 | math_mc | The average of two 2-digit positive integers is equal to the decimal number obtained by writing one of the two-digit integers before the decimal point and the other two-digit integer after the decimal point. What is the smaller of the two integers? | A | math_Algebra | mathematics | ||
math_1380 | math_mc | The equation
\[\frac{1}{x} + \frac{1}{x + 2} - \frac{1}{x + 4} - \frac{1}{x + 6} - \frac{1}{x + 8} - \frac{1}{x + 10} + \frac{1}{x + 12} + \frac{1}{x + 14} = 0\]has four roots of the form $-a \pm \sqrt{b \pm c \sqrt{d}},$ where $a,$ $b,$ $c,$ $d$ are positive integers, and $d$ is not divisible by the square of a prime.... | C | math_Intermediate Algebra | mathematics | ||
math_839 | math_mc | Circles $A,B$, and $C$ are externally tangent to each other and internally tangent to circle $D$. Circles $B$ and $C$ are congruent. Circle $A$ has radius 1 and passes through the center of $D$. What is the radius of circle $B$?
[asy]unitsize(1cm);
pair A,B,C,D;
A=(-1,0);
B=(0.66,0.88);
C=(0.66,-0.88);
D=(0,0);
draw(C... | A | math_Geometry | mathematics | ||
allenai/sciq_7271 | allenai/sciq | What are the two basic types of combustion engines?
A. diesel and internal combustion
B. external and internal combustion engines
C. spark and steam
D. gas and steam | B. external and internal combustion engines | A combustion engine is a complex machine that burns fuel to produce thermal energy and then uses the energy to do work. Two basic types of combustion engines are external and internal combustion engines. | engineering | engineering | |
math_1852 | math_mc | The area of trapezoid $ABCD$ is $164 \text{cm}^2$. The altitude is $8 \text{cm}$, $AB$ is $10 \text{cm}$, and $CD$ is $17 \text{cm}$. What is $BC$, in centimeters? [asy]
/* AMC8 2003 #21 Problem */
size(2inch,1inch);
draw((0,0)--(31,0)--(16,8)--(6,8)--cycle);
draw((11,8)--(11,0), linetype("8 4"));
draw((11,1)--(12,1)... | B | math_Prealgebra | mathematics | ||
aquarat_96110 | deepmind/aqua_rat | If the function Q is defined by the formula Q = 5w/(4m(z^2)), by what factor will Q be multiplied if w is quadrupled, m is doubled, and z is tripled? | A. 1/9 B. 2/9 C. 4/9 D. 3/9 E. 2/27 | B. 2/9 | We just need to find the factor thats all,
w -> quadrupled -> 4w
m-> doubled -> 2m
z-> tripled -> 3Z
Hence, Z^2 = 9Z^2
W is in numerator, and m*z in denominator.
Hence,
Additional factor being introduced = 4/2*9
=4/18 = 2/9 = B | college_mathematics | mathematics |
math_600 | math_mc | A cube 4 units on each side is composed of 64 unit cubes. Two faces of the larger cube that share an edge are painted blue, and the cube is disassembled into 64 unit cubes. Two of the unit cubes are selected uniformly at random. What is the probability that one of two selected unit cubes will have exactly two painted f... | B | math_Counting & Probability | mathematics | ||
NLP4Education_551 | NLP4Education | Tick the \textbf{true} statement regarding $\mathsf{GF}(2^k)$.
A. Addition is performed as bitwise XOR.
B. Multiplication is performed modulo $2^k$.
C. It has order $\varphi(2^k)$.
D. Its characteristic is $k$. | A. Addition is performed as bitwise XOR. | abstract_algebra | mathematics | ||
allenai/sciq_9234 | allenai/sciq | How does burning matter affect its mass?
A. the mass increases
B. the mass quadruples
C. the mass remains the same
D. the mass decreases | C. the mass remains the same | Burning and other changes in matter do not destroy matter. The mass of matter is always the same before and after the changes occur. | high_school_physics | physics | |
aquarat_3267 | deepmind/aqua_rat | find the smallest number in GP whose sum is 38 and product is 1728 | A. 5 B. 6 C. 7 D. 8 E. 9 | D. 8 | Let x,y,z be the numbers in geometric progression?
y^2=xz
x+y+z=38
xyz=1728
xyz = xzy = y^2y = y^3 = 1728
y = 12
y^2=xz=144
z=144/x
x+y+z = x+12+144/x = 38
x^2+12x+144=38x
x^2-26x+144=0
(x-18)(x-8)=0
x=8,18
If x =8, z = 38-8-12=18
The numbers are 8,12, 18
Their sum is 38
Their product is 1,728
The smallest number is 8
... | college_mathematics | mathematics |
pythonio_729 | pythonio-mc | Program:
def area_trapezium(base1,base2,height):
area = 0.5 * (base1 + base2) * height
return area
Input:
area_trapezium(6,9,4)
Output: | C | code | computer_science | ||
allenai/sciq_9631 | allenai/sciq | What is the strength of an earthquake called?
A. waves
B. force
C. power
D. magnitude | D. magnitude | Earthquake: What Does Magnitude Mean? at http://www. livescience. com/20538-earthquake-magnitude-video. html (2:00). | earth_science | earth_science | |
mmlu_aux_train_78880 | mmlu_aux_train | The first robot was invented in the 1920s. Robots have appeared in many American films. In some films, they are stronger, faster and cleverer than people. In real life, robots are mainly used in factories. They do some dangerous and difficult jobs for humans. Robots also help disabled people, for example, blind people.... | A. dangerous animals | high_school_computer_science | computer_science | ||
NLP4Education_779 | NLP4Education | Let $n \geq 2$ be a positive integer, and $M$ a uniformly distributed binary message of length $2n$. Let $P_K(M)$ denote the one-time pad encryption of $M$ with key $K$. Let $K_1$ be a uniformly distributed binary key length $n$. Let $K_2$ be the complement of $K_1$. Let $K_3$ be the reverse of $K_1$. Let $K_i||K_j$ de... | B. False, because $K_4$ does not have enough entropy to provide perfect secrecy for a $2n$-bit message. | computer_security | computer_science | ||
aquarat_56731 | deepmind/aqua_rat | If two projectiles are launched at the same moment from 1386 km apart and travel directly towards each other at 445 km per hour and 545 km per hour respectively, how many minutes will it take for them to meet? | A. 80 B. 82 C. 84 D. 86 E. 88 | C. 84 | The projectiles travel a total of 990 km per hour.
The time to meet is 1386/990=1.4 hours = 84 minutes
The answer is C. | conceptual_physics | physics |
math_2221 | math_mc | Let $\alpha$ and $\beta$ be real numbers. Find the minimum value of
\[(2 \cos \alpha + 5 \sin \beta - 8)^2 + (2 \sin \alpha + 5 \cos \beta - 15)^2.\] | D | math_Precalculus | mathematics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.