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_86257 | mmlu_aux_train | We live in the computer age. People use computers to do much of their work, such as playing games, listening to music, shopping and so on. But few people know how to take care of them. Please remember the following when you use your computer: 1.Keep your computer in a dry cool room. Too much heat is bad for computers. ... | D. all of them above. | high_school_computer_science | computer_science | ||
allenai/sciq_9853 | allenai/sciq | What are genes located on the sex chromosomes called?
A. sex-linked genes
B. diploid genes
C. autosomes
D. dimorphism - linked genes | A. sex-linked genes | Genes located on the sex chromosomes are called sex-linked genes . Most sex-linked genes are on the X chromosome, because the Y chromosome has relatively few genes. Strictly speaking, genes on the X chromosome are X-linked genes , but the term sex-linked is often used to refer to them. | college_biology | biology | |
pythonio_621 | pythonio-mc | Program:
import bisect
def right_insertion(a, x):
i = bisect.bisect_right(a, x)
return i
Input:
right_insertion([1,2,4,5],6)
Output: | D | code | computer_science | ||
math_767 | math_mc | In trapezoid $ABCD$ the lengths of the bases $AB$ and $CD$ are 8 and 17 respectively. The legs of the trapezoid are extended beyond $A$ and $B$ to meet at point $E$. What is the ratio of the area of triangle $EAB$ to the area of trapezoid $ABCD$? Express your answer as a common fraction. | D | math_Geometry | mathematics | ||
allenai/sciq_1712 | allenai/sciq | Pluto's orbit is so elliptical that sometimes it is inside the orbit of which planet?
A. Mars
B. neptune
C. Earth
D. titan | B. neptune | For decades Pluto was a planet. But even then, scientists knew it was an unusual planet. The other outer planets are all gas giants. Pluto is small, icy and rocky. With a diameter of about 2400 kilometers, it has only about 1/5 the mass of Earth’s Moon. The other planets orbit in a plane. Pluto's orbit is tilted. The s... | astronomy | physics | |
aquarat_73509 | deepmind/aqua_rat | If x and y are non-zero integers, and 64x^4 – 4y^4 = 8x^2 + 2y^2, which of the following could be the value of x2 in terms of y? | A. 2y^2 B. 2y C. 2y^2/8 D. 2y^2-1/8 E. 2y^2+1/8 | E. 2y^2+1/8 | 64x^4 – 4y^4 = 8x^2 + 2y^2
(8x^2 + 2y^2) (8x^2 - 2y^2) = 8x^2 + 2y^2
8x^2 - 2y^2 = 1
8x^2 = 2y^2+1
x^2 = 2y^2+1/8
Answer : E | college_mathematics | mathematics |
math_168 | math_mc | Rationalize the denominator of $\frac{\sqrt{8}+\sqrt{3}}{\sqrt{2}+\sqrt{3}}$. Express your answer in simplest form. | B | math_Algebra | mathematics | ||
NLP4Education_292 | NLP4Education | The following function(s) have a unique minimizer.
A. \( f(x) = |x|, \ x \in [-2, 3] \)
B. \( f(x) = \cos(x), \ x \in [0, 2\pi] \)
C. \( f(x) = x^4 - 2x^2 + 1, \ x \in [-3, 3] \)
D. \( f(x) = \tan^{-1}(x), \ x \in [-1, 1] \) | C. \( f(x) = x^4 - 2x^2 + 1, \ x \in [-3, 3] \) | college_mathematics | mathematics | ||
aquarat_31934 | deepmind/aqua_rat | If there are n rays and all of them are reversed after 2006 reversals, then a possible value of n is | A. 2237 B. 3777 C. 2002 D. 3772 E. 8822 | C. 2002 | has to be same number less than (or equal to) k and of the same type as k.
k = 2006 then n = 2002.
Answer:C | college_mathematics | mathematics |
math_537 | math_mc | A scanning code consists of a $7 \times 7$ grid of squares, with some of its squares colored black and the rest colored white. There must be at least one square of each color in this grid of $49$ squares. A scanning code is called $\textit{symmetric}$ if its look does not change when the entire square is rotated by a m... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_36408 | mmlu_aux_train | For decades, public health officials have puzzled over a surprising fact about HIV: Only about 10-20 percent of infants who are breastfed by infected mothers catch the virus. Tests show, though, that HIV is indeed present in breast milk, so these children are exposed to the virus multiple times daily for the first seve... | D. It can sometimes prevent mother-to-child transmission of HIV. | virology | biology | ||
allenai/sciq_9636 | allenai/sciq | What two factors influence the pressure of fluids?
A. depth and density
B. depth and gravity
C. time and temperature
D. temperature and density | A. depth and density | Two factors influence the pressure of fluids. They are the depth of the fluid and its density. | conceptual_physics | physics | |
aquarat_54389 | deepmind/aqua_rat | For any non-zero a and b that satisfy |ab| = ab and |b| = -b
|b - 4| + |ab - b| = ? | A. a) ab - 4 B. b) 2b - ab - 4 C. c) ab + 4 D. d) ab - 2b E. e) ab - 2b + 4 | E. e) ab - 2b + 4 | |a| = -a Suggests that 'a' is Negative
|ab| = ab Suggests that 'ab' is Positive
'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative
But since 'a' is Negative therefore 'b' is Negative too.
Since b is negative so |b - 4| = -b+4
Since ab is Positive and b is Negative so |a... | college_mathematics | mathematics |
allenai/sciq_6483 | allenai/sciq | The hardest natural substance, diamond is a form of what element?
A. carbon
B. hydrogen
C. zirconium
D. zenon | A. carbon | Diamond is a form of carbon in which each carbon atom is covalently bonded to four other carbon atoms. This forms a strong, rigid, three-dimensional structure (see Figure below ). Diamond is the hardest natural substance, and no other natural substance can scratch it. This property makes diamonds useful for cutting and... | high_school_chemistry | chemistry | |
pythonio_53 | pythonio-mc | Program:
def get_pairs_count(arr, n, sum):
count = 0
for i in range(0, n):
for j in range(i + 1, n):
if arr[i] + arr[j] == sum:
count += 1
return count
Input:
get_pairs_count([1, 5, 7, -1], 4, 6)
Output: | D | code | computer_science | ||
aquarat_81448 | deepmind/aqua_rat | Which of the following is equal to 2^k*7^(k-1)? | A. 2*14^(k-1) B. 7*14^(k-1) C. 14^k D. 2*14^k E. 14^(2k-1) | A. 2*14^(k-1) | 2^k*7^(k-1) = 2*2^(k-1)*7^(k-1) = 2*14^(k-1)
The answer is A. | college_mathematics | mathematics |
pythonio_15 | pythonio-mc | Program:
def find_Rotations(str):
tmp = str + str
n = len(str)
for i in range(1,n + 1):
substring = tmp[i: i+n]
if (str == substring):
return i
return n
Input:
find_Rotations("aaaa")
Output: | C | code | computer_science | ||
aquarat_77434 | deepmind/aqua_rat | The Present worth of Rs. 1404 due in two equal half-yearly instalments at 8% per annum simple interest is : | A. Rs. 1325 B. Rs. 1300 C. Rs. 1350 D. Rs. 1500 E. None | A. Rs. 1325 | Solution
Required sum = P.W. of Rs. 702 due 6 month hence + P.W. of Rs. 702 due 1 year hence
= Rs.[(100x702/100 + 8 x1/2 )+ ( 100x702/100 + (8x1) )] = Rs. (675+650) = Rs. 1325.
Answer A | college_mathematics | mathematics |
mmlu_aux_train_90447 | mmlu_aux_train | Many companies use guards and expensive alarm systems to protect their property . Soon a new kind of protection will be used--robots. Engineers have been working on the first mobile robots for businesses. The robots will guard factories, warehouses and museums at night. The mobile robots will move around slowly on whee... | D. move around and do the programmed work | high_school_computer_science | computer_science | ||
pythonio_797 | pythonio-mc | Program:
def sum_num(numbers):
total = 0
for x in numbers:
total += x
return total/len(numbers)
Input:
sum_num((8, 2, 3, 0, 7))
Output: | A | code | computer_science | ||
aquarat_6022 | deepmind/aqua_rat | For the set {2, 2, 3, 3, 4, 4, x}, which of the following values of x will most increase the standard deviation? | A. 1 B. 2 C. 3 D. 4 E. (2)^2 | E. (2)^2 | Standard Deviation Step 1, as pointed out by others, is to find out the mean = 3
Step 2, For each number: subtract the Mean and square the result =
(1-3)^2=(-2)^2
(2-3)^2=(-1)^2
(3-3)^2 =(0)^2
(4-3)^2=(1)^2
(5-3)^2=(2)^2
Clearly (1-3)^2=(-2)^2 will give you the greatest value among all the other options.
Hence E | high_school_statistics | mathematics |
NLP4Education_453 | NLP4Education | Let $n$ be a positive integer. An element $x \in \mathbb{Z}_n$ is \emph{always} invertible when \dots
A. $x$ and $n$ are coprime.
B. $x$ and $\varphi(n)$ are coprime.
C. $x$ is even.
D. $n$ is a perfect square. | A. $x$ and $n$ are coprime. | abstract_algebra | mathematics | ||
allenai/sciq_590 | allenai/sciq | In moss, what becomes elongated to elevate the capsule to enhance spore dispersal?
A. risa
B. seta
C. porta
D. sera | B. seta | high_school_biology | biology | ||
allenai/sciq_6490 | allenai/sciq | Conotoxins released by certain marine snails can bring about paralysis in humans, indicating that this toxin attacks what system?
A. circulatory
B. neurological
C. cardiovascular
D. cerebral | B. neurological | Can Snail Venom Be Used as a Pharmacological Painkiller? Marine snails of the genus Conus (Figure 28.25) attack prey with a venomous sting. The toxin released, known as conotoxin, is a peptide with internal disulfide linkages. Conotoxins can bring about paralysis in humans, indicating that this toxin attacks neurologic... | college_biology | biology | |
allenai/sciq_9360 | allenai/sciq | Scientists will often observe and then what the reason why a phenomenon occurred?
A. realize
B. hypothesize
C. normalize
D. theorize | B. hypothesize | 2.3 Scientific method The scientific method is not a step by step, linear process. It is an intuitive process, a methodology for learning about the world through the application of knowledge. Scientists must be able to have an "imaginative preconception" of what the truth is. Scientists will often observe and then hypo... | college_science | earth_science | |
math_842 | math_mc | In rectangle $ABCD$, $AB=100$. Let $E$ be the midpoint of $\overline{AD}$. Given that line $AC$ and line $BE$ are perpendicular, find the greatest integer less than $AD$.
| D | math_Geometry | mathematics | ||
allenai/sciq_1093 | allenai/sciq | What occurs when there are differences in fitness among a population?
A. natural selection
B. natural process
C. natural change
D. evolution | A. natural selection | Natural selection occurs when there are differences in fitness among members of a population. As a result, some individuals pass more genes to the next generation. This causes allele frequencies to change. | high_school_biology | biology | |
NLP4Education_323 | NLP4Education | Let $E$ be a finite ground set and let $\mathcal{I}$ be a family of ground sets. Which of the following definitions of $\mathcal{I}$ guarantees that $M = (E, \mathcal{I})$ is a matroid?
\begin{enumerate}
\item $E$ is the edges of an undirected bipartite graph and $\mathcal{I} = \{X \subseteq E : \mbox{$X$ is an acycl... | A. (a), (b), (f) | abstract_algebra | mathematics | ||
aquarat_97301 | deepmind/aqua_rat | If KING is coded as 17 and DON is coded as 18 Then MASS is coded as | A. 21 B. 20 C. 19 D. 29 E. None | D. 29 | KING = 11+9+14+7=41 i.e (4*4)+(1*1)=17
MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29
DON = 4+14+15=33 i.e(3*3)+(3*3)=18
ANSWER:D | formal_logic | mathematics |
allenai/sciq_5275 | allenai/sciq | Subshells are subdivisions of what groupings of electrons that can be found surrounding atoms?
A. isotopes
B. analogous
C. globals
D. orbitals | D. orbitals | Carbon (atomic number 6) has six electrons. Four of them fill the 1s and 2s orbitals. The remaining two electrons occupy the 2p subshell. We now have a choice of filling one of the 2p orbitals and pairing the electrons or of leaving the electrons unpaired in two different, but degenerate, p orbitals. The orbitals are f... | high_school_chemistry | chemistry | |
aquarat_59335 | deepmind/aqua_rat | I. p-14, p, p, p, p+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following? | A. I, II, III B. I, III, II C. II, III, I D. III, I, II E. III, II, I | A. I, II, III | S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values o... | high_school_statistics | mathematics |
aquarat_12192 | deepmind/aqua_rat | You and your friend are playing Russian Roulette. Of course, the gun is filled with fake pellets. Three bullets are placed inside three consecutive chambers. The cylinder is then spun once. It won't be spun again.
As per the rules, the gun will be passed from one person to other until a pellet is shot. If you want to w... | A. 1st B. 3rd C. 4th D. 2nd E. 5th | D. 2nd | D
2nd
When the cylinder is spun for the first and last time, the following six outcomes are possible:
First:
First chamber is fired first. The first player loses.
Second:
Second chamber is fired first. The first player loses.
Third:
Third chamber is fired first. The first player loses.
Fourth:
Fourth chamber is fired f... | conceptual_physics | physics |
mmlu_aux_train_48766 | mmlu_aux_train | New crime prediction software should reduce not only the murder rate, but the rate of other crimes. Developed by Richard Berk, a professor at the University of Pennsylvania, the software has already used in Baltimore and Philadelphia to predict which individuals on probation or parole are most likely to murder and to... | C. 52. | machine_learning | computer_science | ||
mmlu_aux_train_42640 | mmlu_aux_train | British paychologists have found evidence of a link between excessive Internet use and depression, a research has shown. Leeds University researchers, writing in the Psychopathology journal, said a small part of Internet users were classed as Internet addicts and that people in this group were more likely to be depres... | A. use the Internet more than enough | clinical_knowledge | biology | ||
aquarat_92044 | deepmind/aqua_rat | A king has 1000 bottles of wine,A queen wants to kill the king and sends a servant to poison the wine .Fortunately the king's guard's catch d servant after he has only poisoned one bottle and the guard don't know which bottle is poisoned .Furthermore it takes one month to have an effect,and there is an anniversary part... | A. 1 B. 499 C. 500 D. 999 E. 10 | E. 10 | Since you need 10 digits to represent 1000 numbers in binary, you will need 10 prisoners.
Now the logic is this: Every bottle has a unique number from 1 to 1000 and a unique binary representation from 0000000001 to 1111101000.
Now you have 10 prisoners. Each bottle will be tasted by the prisoners depending on the binar... | formal_logic | mathematics |
allenai/sciq_5007 | allenai/sciq | What kind of harm does a corrosive substance cause?
A. Rust objects
B. Attracts dust
C. Builds a crust
D. eats through objects | D. eats through objects | If a substance is corrosive, it can eat through objects. Many scientists have to work with chemicals that are corrosive or otherwise dangerous. That's one reason that following safety precautions in the laboratory or field is very important. | high_school_chemistry | chemistry | |
math_1196 | math_mc | Let $a,$ $b,$ $c$ be the roots of the cubic polynomial $x^3 - x - 1 = 0.$ Find
\[a(b - c)^2 + b(c - a)^2 + c(a - b)^2.\] | A | math_Intermediate Algebra | mathematics | ||
aquarat_15752 | deepmind/aqua_rat | A certain list of 100 data has an average (arithmetic mean) of 8 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 106 data with standard deviation less than d? | A. -8 and 0 B. 0 and 0 C. 0 and 8 D. 0 and 16 E. 8 and 8 | E. 8 and 8 | Standard deviation shows how much variation there is from the mean. A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
So when we add numbers, which are far from the mean we are s... | high_school_statistics | mathematics |
allenai/sciq_3971 | allenai/sciq | What is the most common pattern of dispersion?
A. clumped
B. uniform
C. sporadic
D. random | A. clumped | college_biology | biology | ||
mmlu_aux_train_94112 | mmlu_aux_train | Which part of the atom has a negative charge?
A. neutron
B. nucleus
C. electron
D. proton | C. electron | high_school_physics | physics | ||
math_1014 | math_mc | Three circles, each of radius $3$, are drawn with centers at $(14, 92)$, $(17, 76)$, and $(19, 84)$. A line passing through $(17,76)$ is such that the total area of the parts of the three circles to one side of the line is equal to the total area of the parts of the three circles to the other side of it. What is the ab... | B | math_Geometry | mathematics | ||
pythonio_648 | pythonio-mc | Program:
def count_Rotation(arr,n):
for i in range (1,n):
if (arr[i] < arr[i - 1]):
return i
return 0
Input:
count_Rotation([7,8,9,1,2,3],6)
Output: | D | code | computer_science | ||
math_2021 | math_mc | What is the area, in square units, of triangle $ABC$ in the figure shown if points $A$, $B$, $C$ and $D$ are coplanar, angle $D$ is a right angle, $AC = 13$, $AB = 15$ and $DC = 5$? [asy]
pair A, B, C, D;
A=(12,0);
D=(0,0);
C=(0,5);
B=(0,9);
draw(A--B--C--A--D--C);
draw((0,.5)--(.5,.5)--(.5,0));
label("$A$", A, dir(-45... | D | math_Prealgebra | mathematics | ||
pythonio_176 | pythonio-mc | Program:
def interleave_lists(list1,list2,list3):
result = [el for pair in zip(list1, list2, list3) for el in pair]
return result
Input:
interleave_lists([10,20],[15,2],[5,10])
Output: | B | code | computer_science | ||
math_1094 | math_mc | The area of one lateral face of a right pyramid with an equilateral triangular base is 75 square meters. If the slant height is 30 meters, what is the length of the side of its base, in meters? | A | math_Geometry | mathematics | ||
aquarat_71476 | deepmind/aqua_rat | x is the smallest integer greater than 1000 that is not prime and that has only one factor in common with 30!. What is x? | A. 1009 B. 1021 C. 1147 D. 1273 E. 50! + 1 | C. 1147 | Next, x and 30! have only one factor in common means that this factor must be 1 (any two integers have 1 as a common factor). Thus no other factor of 30! is a factor of x. So, the least prime of x can be 31 (30! has all primes less than 30).
x cannot be 31*31 = 961 because it's less than 1,000.
The next prime is 37: 31... | college_mathematics | mathematics |
mmlu_aux_train_98073 | mmlu_aux_train | What anchors plants into the soil are called
A. a form of webbing
B. Velcro with extra grip
C. the same as an american television miniseries about slavery
D. large anchors made of metal | C. the same as an american television miniseries about slavery | high_school_biology | biology | ||
pythonio_833 | pythonio-mc | Program:
def lucky_num(n):
List=range(-1,n*n+9,2)
i=2
while List[i:]:List=sorted(set(List)-set(List[List[i]::List[i]]));i+=1
return List[1:n+1]
Input:
lucky_num(8)
Output: | D | code | computer_science | ||
pythonio_232 | pythonio-mc | Program:
def reverse_words(s):
return ' '.join(reversed(s.split()))
Input:
reverse_words("python program")
Output: | C | code | computer_science | ||
math_254 | math_mc | The graph of the quadratic $y = ax^2 + bx + c$ has the following properties: (1) The maximum value of $y = ax^2 + bx + c$ is 5, which occurs at $x = 3$. (2) The graph passes through the point $(0,-13)$. If the graph passes through the point $(4,m)$, then what is the value of $m$? | B | math_Algebra | mathematics | ||
pythonio_693 | pythonio-mc | Program:
import re
def extract_max(input):
numbers = re.findall('\d+',input)
numbers = map(int,numbers)
return max(numbers)
Input:
extract_max('hello300how546mer231')
Output: | B | code | computer_science | ||
math_864 | math_mc | The second hand on the clock pictured below is 6 cm long. How far in centimeters does the tip of this second hand travel during a period of 30 minutes? Express your answer in terms of $\pi$.
[asy]
draw(Circle((0,0),20));
label("12",(0,20),S);
label("9",(-20,0),E);
label("6",(0,-20),N);
label("3",(20,0),W);
dot((0,0))... | C | math_Geometry | mathematics | ||
math_239 | math_mc | What is the product of all the coordinates of all the points of intersection of the two circles defined by $x^2-2x +y^2-10y+25=0$ and $x^2-8x+y^2-10y+37=0$? | A | math_Algebra | mathematics | ||
math_1604 | math_mc | Let $f(n)$ be the sum of all the divisors of a positive integer $n$. If $f(f(n)) = n+2$, then call $n$ superdeficient. How many superdeficient positive integers are there? | B | math_Number Theory | mathematics | ||
mmlu_aux_train_97543 | mmlu_aux_train | Some of shelled item containers for replication processes are use by which kind of life form?
A. reptile
B. dog
C. plant
D. invisible | A. reptile | college_biology | biology | ||
mmlu_aux_train_27942 | mmlu_aux_train | Pollutants coming from automobile operation have begun to cause many environmental problems. It has been calculated, for example, that 70% of the carbon monoxide , 45% of the nitrogen oxides , and 34% of the hydrocarbon pollution in the United States can be traced directly to automobile exhausts . In addition, rubbe... | A. Nitrogen and oxygen are put together in great heat. | high_school_chemistry | chemistry | ||
allenai/sciq_124 | allenai/sciq | A few earthquakes take place away from plate boundaries, these are called what?
A. deformation earthquakes
B. distant earthquakes
C. outer earthquakes
D. intraplate earthquakes | D. intraplate earthquakes | The remaining 5% are scattered around other plate boundaries. A few earthquakes take place away from plate boundaries. These are intraplate earthquakes. | college_earth_science | earth_science | |
allenai/sciq_7348 | allenai/sciq | Electromagnetic waves are comprised of what two types of energy?
A. electric and magnetic
B. magnetic and gravitational
C. solar and kinetic
D. kinetic and electric | A. electric and magnetic | Gamma rays are electromagnetic waves. Electromagnetic waves are waves of electric and magnetic energy that travel through space at the speed of light. The energy travels in tiny “packets” of energy, called photons. Photons of gamma energy are called gamma particles. Other electromagnetic waves include microwaves, light... | conceptual_physics | physics | |
allenai/sciq_2011 | allenai/sciq | What do you call a substance that cannot be broken down to other substances by chemical reactions.?
A. a compound
B. a molecule
C. a participate
D. an element | D. an element | high_school_chemistry | chemistry | ||
math_353 | math_mc | The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$, and $p$. Find $mnp$. | C | math_Algebra | mathematics | ||
allenai/sciq_6888 | allenai/sciq | Some isotopes are stable indefinitely, while others are radioactive and do what through a characteristic form of emission?
A. bond
B. expand
C. replicate
D. decay | D. decay | Whether or not a given isotope is radioactive is a characteristic of that particular isotope. Some isotopes are stable indefinitely, while others are radioactive and decay through a characteristic form of emission. As time passes, less and less of the radioactive isotope will be present, and the level of radioactivity ... | high_school_chemistry | chemistry | |
math_1974 | math_mc | A $4$-foot by $8$-foot rectangular piece of plywood will be cut into $4$ congruent rectangles with no wood left over and no wood lost due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece? | C | math_Prealgebra | mathematics | ||
allenai/sciq_9809 | allenai/sciq | What are elements that generally do not conduct electricity?
A. iron
B. metal
C. nonmetals
D. copper | C. nonmetals | Nonmetals are elements that generally do not conduct electricity. They are one of three classes of elements (the other two classes are metals and metalloids. ) Nonmetals are the second largest of the three classes after metals. They are the elements located on the right side of the periodic table. | high_school_chemistry | chemistry | |
aquarat_91406 | deepmind/aqua_rat | 111 = O,
222 = E,
333 = T,
444 = S,
Reading and analyzing the above, can you find out the following ?
555 = ? | A. 0 B. 1 C. 3 D. 2 E. 4 | A. 0 | Solution:
0
Explanation:
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.
Answer A | formal_logic | mathematics |
allenai/sciq_1301 | allenai/sciq | What needs to be increased to change a solid into a liquid or gas?
A. temperature
B. pressure
C. volume
D. oxygen | A. temperature | In the last lesson, we studied the characteristics of liquids and solids at a macroscopic level and at the molecular level. Increasing the temperature of a solid transforms the particles from a rigid arrangement to a fluid (a liquid or gas). Conversely, decreasing the temperature of a liquid or gas slows the particles ... | high_school_physics | physics | |
aquarat_1056 | deepmind/aqua_rat | If -1 < x < 1, which of the following must be true?
I. x^3 < x^2
II. x^5 < 1 – x
III. x^4 < x^2 | A. I only B. I and II only C. II and III only D. I and III only E. I, II and III | D. I and III only | I. x^3 < x^2 --> from -1 < x < 1 x must be a decimal so multiplying it by itself makes it a smaller value positive or negative. x^2 is always positive so x^3 being a small value always makes x^3<x^2 so this statement is true.
II. x^5 < 1 – x --> x(x^4+1) < 1 --> since 1(1+1)=2 > 1, so this statement is false.
III. x^4 ... | college_mathematics | mathematics |
mmlu_aux_train_19543 | mmlu_aux_train | A team of scientists from University of Freiburg in Germany are developing a shoe with a sensor to automatically tie its laces that could be taken off when users click their heels together. It's been 26 years since we saw them magically tightening Marty McFly's Nike boots in the film Back to The Future. Now,self-tying ... | C. A shoe with self-tying laces | electrical_engineering | engineering | ||
pythonio_759 | pythonio-mc | Program:
from collections import Counter
import re
def n_common_words(text,n):
words = re.findall('\w+',text)
n_common_words= Counter(words).most_common(n)
return list(n_common_words)
Input:
n_common_words("python is a programming language",1)
Output: | B | code | computer_science | ||
math_1126 | math_mc | Find the largest prime divisor of $25^2+72^2$.
| A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_29375 | mmlu_aux_train | Hawking Fever Hit prefix = st1 /China Hawking has left much for Chinese to think about. British physicist Stephen Hawking,possibly the world's most famous scientist after Albert Einstein,gave lectures in Zhejiang and Beijing in August. An illness left him unable to move any part of his body except for the t... | A. his continuing efforts in the field of science | college_physics | physics | ||
NLP4Education_506 | NLP4Education | Tick the \textbf{true} statement regarding RSA Cryptosystem.
A. $(e, N, \varphi(N))$ are the public parameters.
B. $e$ is a valid public key if $\gcd(e, N) = 1$.
C. Encryption and decryption are performed with the same key.
D. $ed \equiv 1 \pmod{\varphi(N)}$. | D. $ed \equiv 1 \pmod{\varphi(N)}$. | computer_security | computer_science | ||
NLP4Education_17 | NLP4Education | Which flag prevents user programs from reading and writing kernel data?
A. PTE_P
B. PTE_U
C. PTE_D
D. PTE_W | B. PTE_U | computer_security | computer_science | ||
aquarat_93395 | deepmind/aqua_rat | Question: What is the remainder when R=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144? | A. 0 B. 25 C. 49 D. 81 E. 100 | D. 81 | 144 =12 *12
(1!)^3=1
2!=2, therefore (2!)^3=2*2*2=8
3!=6, therefore (3!)^3=6*6*6=216
4!=24 therefore (4!)^3= 24*24*24 which is completely divisible by 144
thus from 4! onwards each term will be divisible by 144 and will leave the remainder of 0
now the remainder when R=(1!)^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided... | college_mathematics | mathematics |
allenai/sciq_7316 | allenai/sciq | The atoms of a compound are held together by what type of bonds?
A. mineral
B. radiation
C. chemical
D. covalent | C. chemical | The atoms of a compound are held together by chemical bonds. Chemical bonds form when atoms share electrons. There are different types of chemical bonds, and they vary in how strongly they hold together the atoms of a compound. Two of the strongest types of bonds are covalent and ionic bonds. Covalent bonds form betwee... | high_school_chemistry | chemistry | |
mmlu_aux_train_87584 | mmlu_aux_train | When Mr. Jones went to a restaurant one day, he left his coat near the door. There was nothing in the pockets of the coat when he left it, so he was very surprised when he took his coat after his meal and found the pockets full of jewelry .There was a waiter near the door, so Mr. Jones said to him, "Somebody has made a... | D. The thief. | formal_logic | mathematics | ||
mmlu_aux_train_2510 | mmlu_aux_train | Which is the best evidence that rocks found deep underground were once exposed at the surface?
A. The rocks have been melted by a magma.
B. The rocks have been broken by faults.
C. The rocks have been weathered by water.
D. The rocks have been folded by pressure. | C. The rocks have been weathered by water. | college_earth_science | earth_science | ||
aquarat_87546 | deepmind/aqua_rat | A researcher computed the mean, the median, and the standard deviation R 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 R 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 |
allenai/sciq_1972 | allenai/sciq | The law of conservation mass states that matter cannot be created or what?
A. moved
B. destroyed
C. observed
D. changed | B. destroyed | The law of conservation of mass states that matter cannot be created or destroyed. | high_school_chemistry | chemistry | |
math_616 | math_mc | How many positive integers less than 10,000 have at most two different digits?
| A | math_Counting & Probability | mathematics | ||
aquarat_72145 | deepmind/aqua_rat | A 14% stock yields 8%.The market value of the stock is : | A. Rs. 175 B. Rs. 92 C. Rs. 112.50 D. Rs. 116.50 E. None of these | A. Rs. 175 | solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 14, investment = Rs.(100/8X14)= Rs. 175
∴ Market value of Rs. 100 stock = Rs.175
Answer A | college_mathematics | mathematics |
aquarat_77185 | deepmind/aqua_rat | Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking ? | A. His son B. His cousin C. His uncle D. His nephew E. His Sister | A. His son | Explanation:
Since Harsh has no brother or sister, so he is his father's only son. Now, wife of my father's son — my wife.
So, Harsh's wife is the man's mother or the man is Harsh's son.
Answer: A) His son | formal_logic | mathematics |
pythonio_564 | pythonio-mc | Program:
def count_reverse_pairs(test_list):
res = sum([1 for idx in range(0, len(test_list)) for idxn in range(idx, len(
test_list)) if test_list[idxn] == str(''.join(list(reversed(test_list[idx]))))])
return str(res)
Input:
count_reverse_pairs(["makes", "best", "sekam", "for", "rof"])
Output: | B | code | computer_science | ||
aquarat_42028 | deepmind/aqua_rat | If a certain sample of data has a mean of 35.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? | A. (14.0; 16.5) B. (14.5; 21.0) C. (14.0; 26.5) D. (16.5; 26.0) E. (28.0; 46.5) | E. (28.0; 46.5) | 2.5 standard deviation equals to 2.5*2=5;
2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 30 40.
The correct answer choice must cover all this range: only answer choice E does this.
Answer:E. | high_school_statistics | mathematics |
aquarat_59922 | deepmind/aqua_rat | Which is better investment 11% stock at 143 or 9 ¾% stock at 117 | A. 11% stock at 143 B. 9 3/4 % stock at 117 C. Both D. Cannot be compared E. None of these | B. 9 3/4 % stock at 117 | Let the investment in each (143*117)
Income in first case = (11/143*143*117)=1287
Income in second case=((39/117*4)*143*117)=1394.25
Clearly, 9 ¾% stock at 117
Option B | college_mathematics | mathematics |
pythonio_439 | pythonio-mc | Program:
def count_even(array_nums):
count_even = len(list(filter(lambda x: (x%2 == 0) , array_nums)))
return count_even
Input:
count_even([10,15,14,13,-18,12,-20])
Output: | B | code | computer_science | ||
aquarat_11729 | deepmind/aqua_rat | The following sets each have a mean of 5 and the standard deviations are given in variable form.
Set I = {5, 5, 5, 5, 5, 5}, standard deviation = H
Set II = {1, 1, 1, 9, 9, 9}, standard deviation = J
Set III = {2, 3, 4, 6, 7, 8}, standard deviation = K
Rank these three standard deviations from least to greatest. | A. K, J, H B. K, H, J C. H, J, K D. H, K, J E. J, H, K | D. H, K, J | The answer should be D as the mean is least deviated in Set I followed by Set III and then Set II. | high_school_statistics | mathematics |
mmlu_aux_train_24102 | mmlu_aux_train | You can't escape the message that smoking is bad for you. But what if one or both of your parents smoke? You might be worried about their health, sick of smelling the smoke, or even a little embarrassed by it. You can't order your mom or dad to stop smoking, but you can encourage them to quit. There are lots of good r... | B. the smokers may become very annoyed at once | high_school_biology | biology | ||
allenai/sciq_812 | allenai/sciq | What strong and lightweight manmade material is derived from hydrocarbons and used in ropes, tents and parachutes?
A. cellophane
B. nylon
C. styrofoam
D. aluminum | B. nylon | nylon: Human-made fabric. Material is made from hydrocarbons found in petroleum products. It is found in a number of plastic utensils. Taking advantages of its strength and light weight, nylon is a component of ropes, fishing nets, tents, and parachutes. | high_school_chemistry | chemistry | |
aquarat_17833 | deepmind/aqua_rat | Let a be a positive integer. If n is divisible by 2^a and n is also divisible by 3^(2a), then it is possible that n is NOT divisible by | A. 6 B. 3 × 2^a C. 2 × 3^(2a) D. 6^a E. 6^(2a) | E. 6^(2a) | Easiest method is to assume a value of a = 1
Given n is divisible by 2^2 ---> n = 2^1*p ---> n =2p
Also, n is also divisible by 3^(2a) ---> n = 3^(2a) * q = 3^2*q = 9q
Lets look at a few numbers that are multiples of both 2 and 9 are 18,36,72....
Thus looking at the options , A-D divide the numbers 18,36,72.... while E... | abstract_algebra | mathematics |
math_1688 | math_mc | What is the largest positive integer that is not the sum of a positive integral multiple of $42$ and a positive composite integer?
| B | math_Number Theory | mathematics | ||
mmlu_aux_train_10458 | mmlu_aux_train | Cooking programs and classes for children seem to positively influence children's food preferences and behaviors, according to a recent review. And, although the review didn't look at long-term effects of such programs, the findings suggest that such programs might help children develop long-lasting healthy habits. Thi... | C. children may learn information unknown to their parents | high_school_biology | biology | ||
allenai/sciq_11245 | allenai/sciq | What causes cobalt chloride to turn pink?
A. discussed 2 + ions
B. h20 + ions
C. co 2+ ions
D. show 2 + ions | C. co 2+ ions | A solution of cobalt chloride in water is pink due to the presence of the solvated Co 2+ ion. If sufficient HCl is added, the solution turns blue as the CoCl 4 2- ion forms. The reaction can be shifted back to the pink form if more water is added to the solution. | high_school_chemistry | chemistry | |
mmlu_aux_train_2481 | mmlu_aux_train | How does the tilt of Earth’s axis and its rotation affect the weather?
A. The tilt of Earth allows Earth to absorb all of the Sun’s radiation as it rotates.
B. The tilt allows certain latitudes of Earth to be heated at a greater rate while Earth rotates.
C. The tilt of Earth allows Earth to rotate fast enough to allow... | B. The tilt allows certain latitudes of Earth to be heated at a greater rate while Earth rotates. | astronomy | physics | ||
allenai/sciq_7930 | allenai/sciq | According to which process, sublevels and orbitals are filled with electrons in order of increasing energy?
A. Schrodinger's cat
B. hausen
C. particle dynamics
D. aufbau | D. aufbau | According to the Aufbau process, sublevels and orbitals are filled with electrons in order of increasing energy. Since the s sublevel consists of just one orbital, the second electron simply pairs up with the first electron as in helium. The next element is lithium and necessitates the use of the next available subleve... | high_school_chemistry | chemistry | |
allenai/sciq_389 | allenai/sciq | Covalent solutes separate into what when dissolved?
A. individual molecules
B. new molecules
C. second molecules
D. true molecules | A. individual molecules | Ionic solutes separate into individual ions when they dissolve. Covalent solutes separate into individual molecules. | high_school_chemistry | chemistry | |
allenai/sciq_2627 | allenai/sciq | The properties of liquids are intermediate between those of gases and solids but are more similar to?
A. gases
B. oils
C. solids
D. plasma | C. solids | The properties of liquids are intermediate between those of gases and solids but are more similar to solids. In contrast to intramolecular forces, such as the covalent bonds that hold atoms together in molecules and polyatomic ions, intermolecular forces hold molecules together in a liquid or solid. Intermolecular forc... | high_school_chemistry | chemistry | |
math_1506 | math_mc | A parabola has focus $(3,3)$ and directrix $3x + 7y = 21.$ Express the equation of the parabola in the form
\[ax^2 + bxy + cy^2 + dx + ey + f = 0,\]where $a,$ $b,$ $c,$ $d,$ $e,$ $f$ are integers, $a$ is a positive integer, and $\gcd(|a|,|b|,|c|,|d|,|e|,|f|) = 1.$ | D | math_Intermediate Algebra | mathematics | ||
aquarat_15227 | deepmind/aqua_rat | A polling company reports that there is a 80% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the cand... | A. 10 B. 16 C. 6 D. 4 E. 5 | B. 16 | 80% - Candidate Elected
100%-60% = 40% - Candidate doesnotsigh Bill X
50% - Candidate randomly chooses between two bills.
These are multiplicative:
80% x 40% x 50%
0.8 x 0.4 x 0.5 = 0.16 = 16%
Answer (B) | high_school_statistics | mathematics |
mmlu_aux_train_91651 | mmlu_aux_train | An inventor has created his perfect girlfriend,a robot who can do the cleaning,remember his favorite drink and read the newspaper to him. Le Trung,33,has spent 14000 dollars creating the robot.He made the robot look like a woman in her twenties with shiny hair and blue eyes. She can speak English and Japanese and she i... | D. cooking | college_computer_science | computer_science | ||
allenai/sciq_9545 | allenai/sciq | What kind of reactions between an acid and a base yield a salt and water?
A. neutralization
B. oxidation
C. distillation
D. evaporation | A. neutralization | Neutralization reactions between an acid and a base yield a salt and water. In some cases, this results in a completely neutral solution. However, some salts are weakly acidic or basic. How can we tell whether a given salt will act as an acid or base? Looking at the relative strengths of the acid and base that were use... | high_school_chemistry | chemistry |
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