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 |
|---|---|---|---|---|---|---|---|
pythonio_258 | pythonio-mc | Program:
def cummulative_sum(test_list):
res = sum(map(sum, test_list))
return (res)
Input:
cummulative_sum([(1, 3), (5, 6, 7), (2, 6)])
Output: | D | code | computer_science | ||
NLP4Education_761 | NLP4Education | Let $\mathcal{C}$ be a binary $(6,3)$ linear code containing the codewords $\mathbf{x}_1 = 011011$, $\mathbf{x}_2 = 101101$ and $\mathbf{x}_3 = 111000$. True or false: The minimum distance of the code is $d_{\min} = 3$.
A. True
B. False
C. The minimum distance is $d_{\min} = 2$
D. The minimum distance is $d_{\min} = 4$ | A. True | college_mathematics | mathematics | ||
math_2216 | math_mc | Find the equation of the plane passing through $(-1,1,1)$ and $(1,-1,1),$ and which is perpendicular to the plane $x + 2y + 3z = 5.$ Enter your answer in the form
\[Ax + By + Cz + D = 0,\]where $A,$ $B,$ $C,$ $D$ are integers such that $A > 0$ and $\gcd(|A|,|B|,|C|,|D|) = 1.$ | C | math_Precalculus | mathematics | ||
math_201 | math_mc | The graph of $y=f(x)$ for $-3\le x\le 3$ is shown below. On this interval, what is the range of $f(x)-x$? Express your answer in interval notation.
[asy]
size(150);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0... | D | math_Algebra | mathematics | ||
NLP4Education_671 | NLP4Education | Let $C$ be a permutation over $\left\{ 0,1 \right\}^p$. Tick the \emph{incorrect} assertion:
A. $\text{DP}^C(a,0) = 1$ for some $a \neq 0$.
B. $\text{DP}^C(0,b) = 0$ for some $b \neq 0$.
C. $\sum_{b \in \left\{ 0,1 \right\}^p} \text{DP}^C(a,b) = 1$ for any $a \in \left\{ 0,1 \right\}^p$.
D. $2^p \text{DP}^C(a,b) \bmod ... | A. $\text{DP}^C(a,0) = 1$ for some $a \neq 0$. | computer_security | computer_science | ||
pythonio_841 | pythonio-mc | Program:
def maximum_product(nums):
import heapq
a, b = heapq.nlargest(3, nums), heapq.nsmallest(2, nums)
return max(a[0] * a[1] * a[2], a[0] * b[0] * b[1])
Input:
maximum_product([25, 35, 22, 85, 14, 65, 75, 25, 58])
Output: | C | code | computer_science | ||
mmlu_aux_train_97804 | mmlu_aux_train | Jeff noticed that the big dipper was in a different spot in the sky at 2am than where it was at 10pm. Why?
A. because of the earth's orbit
B. the stars had rotated
C. Jeff had been instantly transported thousands of miles from where he'd been at 10pm.
D. the earth had turned | D. the earth had turned | astronomy | physics | ||
mmlu_aux_train_61308 | mmlu_aux_train | What is the hottest topic at your school recently? In Taiyuan No.55 Middle School, it's money. The school held an activity called "making money" last weekend. About 200 Junior 1 and Junior 2 students were divided into 30 teams. They went out to make money by selling things. What did they choose to sell? Some sold newsp... | B. money | high_school_computer_science | computer_science | ||
pythonio_556 | 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, 5, 6, 7],[0, 1, 2, 3, 4, 5, 7],[0, 1, 2, 3, 4, 5, 7])
Output: | B | code | computer_science | ||
math_43 | math_mc | There are constants $\alpha$ and $\beta$ such that $\frac{x-\alpha}{x+\beta} = \frac{x^2-80x+1551}{x^2+57x-2970}$. What is $\alpha+\beta$? | C | math_Algebra | mathematics | ||
allenai/sciq_8272 | allenai/sciq | What system includes the brain and the spinal cord?
A. muscular
B. lymbic
C. digestive
D. central nervous | D. central nervous | 31.2 Central nervous system Central nervous system includes the brain and the spinal cord. Brain There are four lobes of the brain. • • • •. | high_school_biology | biology | |
math_453 | math_mc | 8 coins are simultaneously flipped. What is the probability that heads are showing on at most 2 of them? | A | math_Counting & Probability | mathematics | ||
allenai/sciq_2938 | allenai/sciq | We divide up the earth's seas into five what, which are really all interconnected?
A. oceans
B. ecosystems
C. lakes
D. continents | A. oceans | People divide up the seas into five oceans. But they are really all interconnected. Even so, they are all very different. This ocean is near a shore and is obviously in a cold region. It appears to be a good habitat for whales! No matter what, the oceans have a huge influence on the planet, locally and as a whole. | earth_science | earth_science | |
mmlu_aux_train_10011 | mmlu_aux_train | The Japanese government has launched a campaign encouraging people to go to bed and get up extra early in order to reduce household carbon dioxide emissions . The Morning Challenge campaign, launched by the Environment Ministry, is based on the belief that changing late night electricity for an extra hour of morning s... | B. reducing carbon dioxide emission at home | environmental_science | earth_science | ||
math_1777 | math_mc | The four consecutive digits $a$, $b$, $c$ and $d$ are used to form the four-digit numbers $abcd$ and $dcba$. What is the greatest common divisor of all numbers of the form $abcd+dcba$? | B | math_Number Theory | mathematics | ||
allenai/sciq_11376 | allenai/sciq | Do particles collide more in two reactants when they are both in fluid forms or solid forms?
A. neither
B. fluid
C. solid
D. plasma | B. fluid | Phase and Surface Area Effects When two reactants are in the same fluid phase, their particles collide more frequently than when one or both reactants are solids (or when they are in different fluids that do not mix). If the reactants are uniformly dispersed in a single homogeneous solution, then the number of collisio... | college_chemistry | chemistry | |
mmlu_aux_train_6798 | mmlu_aux_train | Mobile communications and the IP phone business have gradually replaced traditional long-distance calls. Mobile communications account for 28.5 percent of the total long-distance communications business. IP phones have 41.4 percent, while traditional long-distance calls are down to 30.1 percent. China Mobile, the count... | D. traditional long-distance calls | electrical_engineering | engineering | ||
allenai/sciq_200 | allenai/sciq | What substances, which are distinct from acids and bases, form when ions form ionic bonds?
A. water molecules
B. vitamins
C. salts
D. oils | C. salts | Salts Recall that salts are formed when ions form ionic bonds. In these reactions, one atom gives up one or more electrons, and thus becomes positively charged, whereas the other accepts one or more electrons and becomes negatively charged. You can now define a salt as a substance that, when dissolved in water, dissoci... | high_school_chemistry | chemistry | |
mmlu_aux_train_95181 | mmlu_aux_train | If electrical current is running
A. the wire may be hot to the touch
B. the wire may be cool to the touch
C. the wire is automatically grounded
D. the wire is automatically water safe | A. the wire may be hot to the touch | electrical_engineering | engineering | ||
math_1955 | math_mc | A triangle has a side of length 6 cm, a side of length 8 cm and a right angle. What is the shortest possible length of the remaining side of the triangle? Express your answer in centimeters as a decimal to the nearest hundredth. | D | math_Prealgebra | mathematics | ||
aquarat_64612 | deepmind/aqua_rat | In an electric circuit, two resistors with resistances D and E are connected in parallel. In this case, if F is the combined resistance of these two resistors, then the reciprocal of F is equal to the sum of the reciprocals of D and E. What is F in terms of D and E? | A. DE/(D + E) B. (D+E)/DE C. DE D. D-E E. NONE OF THESE | A. DE/(D + E) | The wording is a bit confusing, though basically we are told that 1/F= 1/D + 1/E, from which it follows that F=DE/(D + E).
Answer: A | electrical_engineering | engineering |
allenai/sciq_6113 | allenai/sciq | What sudden ground movement is caused by the sudden release of the energy stored in rocks, which is transmitted in seismic waves?
A. sandstorm
B. eruption
C. quicksand
D. earthquake | D. earthquake | An earthquake is sudden ground movement. This movement is caused by the sudden release of the energy stored in rocks. An earthquake happens when so much stress builds up in the rocks that the rocks break. An earthquake’s energy is transmitted by seismic waves. | college_earth_science | earth_science | |
NLP4Education_683 | NLP4Education | A proof system is perfect-black-box zero-knowledge if …
A. for any PPT verifier $V$, there exists a PPT simulator $S$, such that $S$ produces an output which is hard to distinguish from the view of the verifier.
B. for any PPT simulator $S$ and for any PPT verifier $V$, $S^{V}$ produces an output which has the same dis... | C. there exists a PPT simulator $S$ such that for any PPT verifier $V$, $S^{V}$ produces an output which has the same distribution as the view of the verifier. | formal_logic | mathematics | ||
allenai/sciq_6282 | allenai/sciq | Which fungi eaten by people all over the world?
A. algae
B. mushrooms
C. legumes
D. fruits | B. mushrooms | Mushrooms are fungi that are eaten by people all over the globe. | high_school_biology | biology | |
NLP4Education_412 | NLP4Education | Which cipher is AES?
A. SAFER
B. BLOWFISH
C. RIJNDAEL
D. RC5 | C. RIJNDAEL | computer_security | computer_science | ||
math_1016 | math_mc | Regular octagon $A_1A_2A_3A_4A_5A_6A_7A_8$ is inscribed in a circle of area $1.$ Point $P$ lies inside the circle so that the region bounded by $\overline{PA_1},\overline{PA_2},$ and the minor arc $\widehat{A_1A_2}$ of the circle has area $\tfrac{1}{7},$ while the region bounded by $\overline{PA_3},\overline{PA_4},$ an... | A | math_Geometry | mathematics | ||
aquarat_6406 | deepmind/aqua_rat | A 18% stock yielding 12% is quoted at: | A. s. 83.33 B. s. 110 C. s. 112 D. s. 120 E. s. 150 | E. s. 150 | Income of Rs 12 on investment of Rs 100
Income of Rs 18 on investment of ?
= (18*100)/12=150
ANSWER:E | college_mathematics | mathematics |
allenai/sciq_1381 | allenai/sciq | When electric current flows through a wire, it creates what type of field that surrounds the wire in circles?
A. thermal
B. kinetic
C. gravitational
D. magnetic | D. magnetic | Electromagnetism is magnetism produced by an electric current. When electric current flows through a wire, it creates a magnetic field that surrounds the wire in circles. You can see this in the diagram below. Note that electric current is conventionally shown moving from positive to negative electric potential, as in ... | electrical_engineering | engineering | |
math_356 | math_mc | Below is a portion of the graph of a function, $y=h(x)$:
[asy]
import graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-4.25,xmax=4.25,ymin=-7.25,ymax=6.25;
pen cqcqcq=rgb(0.75,0.75,0.75);
/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy... | B | math_Algebra | mathematics | ||
allenai/sciq_5526 | allenai/sciq | What can be used to determine the mass of a quantity of material?
A. inertial mass
B. atomic masses
C. molar masses
D. gravitational mass | C. molar masses | Molar masses can be used to determine the mass of a given quantity of material. | high_school_physics | physics | |
math_1893 | math_mc | The figure shown consists of a right triangle and two squares. If the figure's total area equals 850 square inches, what is the value of $x$ in inches? [asy]
unitsize(5mm);
defaultpen(linewidth(.7pt)+fontsize(10pt));
draw((0,5)--(0,-2)--(-2,-2)--(-2,0)--(5,0)--(5,5)--cycle--(-2,0));
draw(scale(0.2)*((-1,0)--(-1,1)--(1... | D | math_Prealgebra | mathematics | ||
aquarat_4163 | deepmind/aqua_rat | A car moves at 80 km/hr. What is the speed of the car in meters per second ? | A. 2029msec B. 2229msec C. 2429msec D. 2629msec E. None of these | B. 2229msec | ExplanaƟon:
Speed=(80
∗
518)m/sec=2009m/sec=2229msec
Answer: B | high_school_physics | physics |
math_931 | math_mc | The sides of a triangle have lengths $11, 15,$ and $k,$ where $k$ is a positive integer. For how many values of $k$ is the triangle obtuse? | A | math_Geometry | mathematics | ||
math_31 | math_mc | Let $f$ be defined by \[f(x) = \left\{
\begin{array}{cl}
2-x & \text{ if } x \leq 1, \\
2x-x^2 & \text{ if } x>1.
\end{array}
\right.\]Calculate $f^{-1}(-3)+f^{-1}(0)+f^{-1}(3)$. | B | math_Algebra | mathematics | ||
allenai/sciq_2769 | allenai/sciq | Transport epithelia that function in maintaining water balance also often function in disposal of what?
A. organisms wastes
B. metabolic wastes
C. absorption wastes
D. bacteria | B. metabolic wastes | college_biology | biology | ||
NLP4Education_590 | NLP4Education | Which of the following is well preserved by 2G?
A. Confidentiality
B. Message Integrity
C. Challenge freshness
D. Authentication of Mobile Station | D. Authentication of Mobile Station | computer_security | computer_science | ||
NLP4Education_397 | NLP4Education | If Alice receives a message proven to be coming from Bob, we say that the message is…
A. confidential
B. fresh
C. authenticated
D. correct | C. authenticated | computer_security | computer_science | ||
aquarat_83799 | deepmind/aqua_rat | Let the polynomials be:
P1(x)=3x2−7x+4,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)= | A. 2x2 + 11x - 7 B. -2x2 - 11x + 6 C. -2x2 - 11x + 6 D. 2x2 - 9x + 7 E. None of these | B. -2x2 - 11x + 6 | Solution:
P1(x)+P2(x)=(3x2−7x+4)+(−5x2−4x+2)=P1(x)+P2(x)=(3x2−7x+4)+(−5x2−4x+2)=
3x2−7x+4−5x2−4x+2=3x2−7x+4−5x2−4x+2=
−2x2−11x+6
Answer B | college_mathematics | mathematics |
pythonio_622 | 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],3)
Output: | D | code | computer_science | ||
NLP4Education_491 | NLP4Education | Select the \emph{incorrect} statement. The UMTS improves the security of GSM using
A. authentication of the challenge.
B. integrity protection.
C. A6/1 for encryption.
D. protection against replay attacks. | C. A6/1 for encryption. | computer_security | computer_science | ||
math_1300 | math_mc | Let $a,$ $b,$ $c$ be three distinct positive real numbers such that $a,$ $b,$ $c$ form a geometric sequence, and
\[\log_c a, \ \log_b c, \ \log_a b\]form an arithmetic sequence. Find the common difference of the arithmetic sequence. | C | math_Intermediate Algebra | mathematics | ||
math_2 | math_mc | If $x^2+y^2=1$, what is the largest possible value of $|x|+|y|$? | B | math_Algebra | mathematics | ||
aquarat_30033 | deepmind/aqua_rat | For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^2 -S(n+2).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 | E. e) ifS1 =-3thenS4=-7 | 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_167 | pythonio-mc | Program:
def surfacearea_cylinder(r,h):
surfacearea=((2*3.1415*r*r) +(2*3.1415*r*h))
return surfacearea
Input:
surfacearea_cylinder(4,5)
Output: | C | code | computer_science | ||
mmlu_aux_train_94325 | mmlu_aux_train | Reading from left to right, elements in the same period on the Periodic Table of the Elements
A. have the same reactivity.
B. decrease in atomic mass.
C. increase in atomic number.
D. have the same number of electrons. | C. increase in atomic number. | high_school_chemistry | chemistry | ||
mmlu_aux_train_83627 | mmlu_aux_train | Computers are very important to modern life. Many people think that in the future computers will be used a lot in everyday's life. It is thought that we won't have to go shopping because we will be able to get most things which are sold in shops on the Internet. There will be fewer books because we will be able to get ... | D. Computerized books won't be very expensive. | high_school_computer_science | computer_science | ||
NLP4Education_177 | NLP4Education | The test loss of the 1-nearest neighbor classifier is always zero.
A. True
B. Sometimes true
C. Only true if there is no noise in the data
D. False | D. False | machine_learning | computer_science | ||
math_1053 | math_mc | The points $A$, $B$ and $C$ lie on the surface of a sphere with center $O$ and radius $20$. It is given that $AB=13$, $BC=14$, $CA=15$, and that the distance from $O$ to $\triangle ABC$ is $\frac{m\sqrt{n}}k$, where $m$, $n$, and $k$ are positive integers, $m$ and $k$ are relatively prime, and $n$ is not divisible by t... | B | math_Geometry | mathematics | ||
mmlu_aux_train_1027 | mmlu_aux_train | Spender owed Midas $1,000, plus interest at 8% until paid, on a long-overdue promissory note, collection of which would become barred by the statute of limitations on June 30. On the preceding April 1, Spender and Midas both signed a writing in which Spender promised to pay the note in full on the following December 31... | A. Yes, because Spender's promise to pay interest until December 31 was consideration for Midas's promise not to sue. | formal_logic | mathematics | ||
mmlu_aux_train_39078 | mmlu_aux_train | Robots are smart. With their computer brains, they help people work in dangerous places or do difficult jobs. Some robots do regular jobs. Bobby, the robot mail carrier, brings mail to a large office building in Washington, D.C. He is one of 250 robot mail carriers in the United States. Mr. Leachim, who weights two hun... | A. To meet the needs of each student. | high_school_computer_science | computer_science | ||
mmlu_aux_train_98244 | mmlu_aux_train | What is the proper ratio of weeks to the Earth's revolution around the Sun?
A. 365 :: 1
B. 52 :: 1
C. 33 :: 1
D. 1 :: 1 | B. 52 :: 1 | astronomy | physics | ||
NLP4Education_269 | NLP4Education | Which of the following graph analysis techniques do you believe would be most appropriate to identify communities on a social graph?
A. Cliques
B. Random Walks
C. Shortest Paths
D. Association rules | A. Cliques | college_computer_science | computer_science | ||
mmlu_aux_train_45464 | mmlu_aux_train | TOKYO-- At first glance, Japanese cellphones are young people's favorites, with elegant design and quick access to the Internet. However, despite years of competition in overseas markets, Japan's cellphone makers have little presence beyond the country's shores. The only Japanese cellphone maker with any meaningful glo... | D. Finland | high_school_computer_science | computer_science | ||
aquarat_68494 | deepmind/aqua_rat | In an electric circuit, three resistors with resistances r1, r2 and r3 are connected in parallel. In this case, if R is the combined resistance of these three resistors, then the reciprocal of R is equal to the sum of the reciprocals of r1, r2 and r3. What is R in terms of r1, r2 and r3? | A. (r1 + r2 + r3) B. r1r2r3 C. 1/(x + y) D. r1r2r3/(r1 + r2 + r3) E. (r1 + r2 + r3)/r1r2r3 | D. r1r2r3/(r1 + r2 + r3) | The wording is a bit confusing, though basically we are told that 1/R = 1/r1 + 1/r2 + 1/r3, from which it follows that r=r1r2r3/(r1 + r2 + r3).
Answer: D. | electrical_engineering | engineering |
mmlu_aux_train_96138 | mmlu_aux_train | Using rubber gloves when working on electronics can
A. ruin the electronics completely
B. keep electricity moving quickly
C. keep electricity from moving as quickly
D. stop the electronics from ever working | C. keep electricity from moving as quickly | electrical_engineering | engineering | ||
NLP4Education_575 | NLP4Education | Stream ciphers often use a nonce to …
A. simplify the key schedule.
B. reduce the size of the secret key.
C. avoid the reuse of the key stream.
D. improve the efficiency of the automaton. | C. avoid the reuse of the key stream. | computer_security | computer_science | ||
mmlu_aux_train_23677 | mmlu_aux_train | A huge cloud of dust rose and an overpass disappeared. This was the scene in Zhuzhou,Hunan Province on May 17.Nine people were killed and 16 injured. Things were similar last year in the Sichuan earthquake. Thousands of people were buried in the ruins and lost their lives. What if we could have warned them? People are ... | C. A material that turns red before it breaks. | college_chemistry | chemistry | ||
allenai/sciq_1040 | allenai/sciq | What are essential for pollination, but can spread disease and destroy crops?
A. mice
B. spiders
C. fruits
D. insects | D. insects | Insects spread disease and destroy crops. However, they are essential for pollinating flowering plants. | high_school_biology | biology | |
mmlu_aux_train_5014 | mmlu_aux_train | Parent fans, both dads and mums, are shaming British football with their bad behaviour. Hundreds of junior soccer matches had to be abandoned last season because parent fans were swearing or even fighting on the touchline. At schools and clubs across the UK, hundreds of more matches also had to be called off for the sa... | B. parent fans swore and fought outside the pitch | high_school_statistics | mathematics | ||
allenai/sciq_10570 | allenai/sciq | Which rule is a result of trends in energies and is useful in explaining why atoms form the ions that they do?
A. electrons rule
B. octet rule
C. coupling rule
D. nutron rule | B. octet rule | valence shell is called the octet rule. When atoms form compounds, the octet rule is not always satisfied for all atoms at all times, but it is a very good rule of thumb for understanding the kinds of bonding arrangements that atoms can make. It is not impossible to violate the octet rule. Consider sodium: in its eleme... | high_school_chemistry | chemistry | |
allenai/sciq_5478 | allenai/sciq | Solar cells convert the energy in sunlight to what type of energy?
A. radical energy
B. active energy
C. electrical energy
D. stellar energy | C. electrical energy | Solar cells convert the energy in sunlight to electrical energy. Solar cells are also called photovoltaic (PV) cells because they use light ( photo- ) to produce voltage ( -voltaic ). Solar cells contain a material such as silicon that absorbs light energy. The energy knocks electrons loose so they can flow freely and ... | conceptual_physics | physics | |
allenai/sciq_16 | allenai/sciq | What organ systems link exchange surfaces with cells throughout the body?
A. vascular
B. pulmonary
C. nervous
D. circulatory | D. circulatory | 42.1 Circulatory systems link exchange surfaces with cells throughout the body. | college_biology | biology | |
math_27 | math_mc | Richard is building a rectangular backyard from 360 feet of fencing. The fencing must cover three sides of the backyard (the fourth side is bordered by Richard's house). What is the maximum area of this backyard? | B | math_Algebra | mathematics | ||
pythonio_447 | pythonio-mc | Program:
def count_range_in_list(li, min, max):
ctr = 0
for x in li:
if min <= x <= max:
ctr += 1
return ctr
Input:
count_range_in_list(['a','b','c','d','e','f'],'a','e')
Output: | C | code | computer_science | ||
math_2032 | math_mc | A $2\times 3$ rectangle and a $3\times 4$ rectangle are contained within a square without overlapping at any interior point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square? | D | math_Prealgebra | mathematics | ||
math_1137 | math_mc | What is the value of the sum
\[
\sum_z \frac{1}{{\left|1 - z\right|}^2} \, ,
\]where $z$ ranges over all 7 solutions (real and nonreal) of the equation $z^7 = -1$? | B | math_Intermediate Algebra | mathematics | ||
aquarat_71763 | deepmind/aqua_rat | P is the brother of Q and R. S is R's mother. T is P's father. Which of the following statements cannot be definitely true ? | A. Q is K's son B. Q is L's son C. Q is S's son D. Q is T's son E. I is T's son | D. Q is T's son | Explanation:
P, Q, R are children of same parents. So. S who is R's mother and T, who is R's father will be mother and father of all three.
However, it is not mentioned whether Q is male or female So, D cannot be definitely true.
Answer: D) Q is T's son | formal_logic | mathematics |
aquarat_82369 | deepmind/aqua_rat | If f is a function defined for all k by f(k) = k^5/16, what is f((6/4)*k) in terms of f(k)? | A. 1/8 f(k) B. 7.6 f(k) C. 2 f(k) D. 10 f(k) E. 32 f(k) | B. 7.6 f(k) | f(k) = k^5/16
f((6/4)*k) = ((6/4)*k)^5/16 = 7.6 * (k^5/16) = 7.6 (k^5/16) = 7.6 f(k).
So answer is B. | college_mathematics | mathematics |
allenai/sciq_1088 | allenai/sciq | Cells infected with viruses secrete what example of early induced proteins, which travel to adjacent cells and induce them to make antiviral proteins, a sacrifice that protects the surrounding cells?
A. metabolites
B. prokaryotes
C. interferons
D. hormones | C. interferons | Early induced Proteins Early induced proteins are those that are not constitutively present in the body, but are made as they are needed early during the innate immune response. Interferons are an example of early induced proteins. Cells infected with viruses secrete interferons that travel to adjacent cells and induce... | college_biology | biology | |
aquarat_14368 | deepmind/aqua_rat | Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest? | A. Nitin B. Sukhbir C. Manoj D. Data inadequate E. None of these | D. Data inadequate | Data Inadequate. As No relation is given among Randhir and Nitin.
ANSWER:D | formal_logic | mathematics |
aquarat_9694 | deepmind/aqua_rat | L2Q,L6S,P12U,R20W,T30U,? | A. V42Y B. U47Y C. V47Z D. V47Y E. V46X | A. V42Y | L - Q = 2
L - S = 6
P - U = 12
R - W = 20
T - W = 30
1^2 + 1 , 2^2 + 2 , 3^2 + 3 , 4^2 + 4 , 5^2 + 5 ---> As per number sequence
=> next number = 6^2 + 6 = 42
V - Y = 42 => V42Y
ANSWER:A | formal_logic | mathematics |
math_129 | math_mc | Find the sum of all possible positive integer values of $b$ such that the quadratic equation $2x^2 + 5x + b = 0$ has rational roots. | C | math_Algebra | mathematics | ||
allenai/sciq_6995 | allenai/sciq | What do you call an area covered with water, or possessing very soggy soil, all or part of the year?
A. wetland
B. stream
C. island
D. peninsula | A. wetland | Some of Earth’s freshwater is found in wetlands. A wetland is an area that is covered with water, or at least has very soggy soil, during all or part of the year. Certain species of plants thrive in wetlands, and they are rich ecosystems. Freshwater wetlands are usually found at the edges of streams, rivers, ponds, or ... | high_school_biology | biology | |
math_1508 | math_mc | Let $x$ be a positive real number. Find the maximum possible value of $$\frac{x^2+2-\sqrt{x^4+4}}{x}.$$ | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_456 | NLP4Education | A 128-bit key ...
A. has 128 decimal digits.
B. is too long for any practical application.
C. provides reasonable security for at least four decades.
D. addresses $n^2$ problem for $n=2^{64}$. | C. provides reasonable security for at least four decades. | computer_security | computer_science | ||
aquarat_66877 | deepmind/aqua_rat | A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(10)? | A. 89/55 B. 91/57 C. 93/59 D. 95/61 E. 97/63 | A. 89/55 | A(n+1)=1+(1/A(n))
A(1) = 1
A(2) = 2
A(3) = 3/2
A(4) = 5/3
A(5) = 8/5
A(6) = 13/8
A(7) = 21/13
A(8) = 34/21
A(9) = 55/34
A(10) = 89/55
The answer is A. | college_mathematics | mathematics |
math_818 | math_mc | Triangle $ABC$ has side lengths $AB=7, BC=8,$ and $CA=9.$ Circle $\omega_1$ passes through $B$ and is tangent to line $AC$ at $A.$ Circle $\omega_2$ passes through $C$ and is tangent to line $AB$ at $A.$ Let $K$ be the intersection of circles $\omega_1$ and $\omega_2$ not equal to $A.$ Then $AK=\tfrac mn,$ where $m$ an... | D | math_Geometry | mathematics | ||
math_176 | math_mc | What is the smallest positive value of $m$ so that the equation $10x^2 - mx + 420 = 0$ has integral solutions? | A | math_Algebra | mathematics | ||
allenai/sciq_4671 | allenai/sciq | Scientists can use what tool to determine an earthquake's strength?
A. telescope
B. geiger counter
C. kilocalorie
D. seismogram | D. seismogram | Seismograms record earthquake strength. Scientists can use them to determine the distance to an earthquake. Using at least three seismograms, they can locate the earthquake's epicenter. Scientists measure earthquake intensity in several ways. So far no one has found a way to predict earthquakes. | earth_science | earth_science | |
math_1879 | math_mc | In how many ways can a president and a 2-person committee be chosen from a group of 8 people (where the order in which we choose the 2 people doesn't matter)? (The president cannot be on the committee.) | B | math_Prealgebra | mathematics | ||
allenai/sciq_3716 | allenai/sciq | In a smoke detector, a battery in the electric circuit creates what between the metal plates?
A. voltage
B. magnetism
C. cooling
D. hydrogen | A. voltage | Most of us have at least one device in our homes that guards our safety and, at the same time, depends on radioactivity to operate properly. This device is a smoke detector. A typical smoke detector contains an electric circuit that includes two metal plates about 1 cm apart. A battery in the circuit creates a voltage ... | electrical_engineering | engineering | |
pythonio_896 | pythonio-mc | Program:
def heap_sort(arr):
heapify(arr)
end = len(arr) - 1
while end > 0:
arr[end], arr[0] = arr[0], arr[end]
shift_down(arr, 0, end - 1)
end -= 1
return arr
def heapify(arr):
start = len(arr) // 2
while start >= 0:
shift_down(arr, start, len(arr)... | B | code | computer_science | ||
allenai/sciq_1650 | allenai/sciq | There is a positive correlation between the ability to conduct thermal energy and what other energy, as exemplified by metals?
A. gravitational
B. nuclear
C. electricity
D. elastic | C. electricity | Your feet feel cold as you walk barefoot across the living room carpet in your cold house and then step onto the kitchen tile floor. This result is intriguing, since the carpet and tile floor are both at the same temperature. The different sensation you feel is explained by the different rates of heat transfer: the hea... | high_school_physics | physics | |
math_1223 | math_mc | For positive real numbers $x,$ $y,$ and $z,$ compute the maximum value of
\[\frac{xyz(x + y + z)}{(x + y)^2 (y + z)^2}.\] | C | math_Intermediate Algebra | mathematics | ||
allenai/sciq_2336 | allenai/sciq | The ideal gas law is used like any other gas law, with attention paid to the unit and making sure that temperature is expressed in kelvin. however, the ideal gas law does not require a change in the conditions of a gas sample. the ideal gas law implies that if you know any three of the physical properties of a gas, you... | A. fourth | The ideal gas law is used like any other gas law, with attention paid to the unit and making sure that temperature is expressed in Kelvin. However, the ideal gas law does not require a change in the conditions of a gas sample. The ideal gas law implies that if you know any three of the physical properties of a gas, you... | high_school_chemistry | chemistry | |
aquarat_20296 | deepmind/aqua_rat | In a survey, 56 percent of the people surveyed stated truthfully that they were married, while 30 percent of the people surveyed who were married at that time chose not to include that information in the survey. What percent of the people surveyed were actually married at the time of the survey? | A. 20% B. 60% C. 40% D. 75% E. 80% | E. 80% | Let the total survey population be 100x. Now, 56x are married.
Again, let the total no of married people in the survey be 100y. Thus, 30% of them lied about being married. Thus, 70% were honest about it.
Thus, 70y = 56x
And, therefore 100y = 80x.
Thus, 80% were actually married.
ANSWER:E | high_school_statistics | mathematics |
mmlu_aux_train_98612 | mmlu_aux_train | if you increase the mass of a celestial body, it will
A. lose rotation
B. lose gravitational force
C. gain gravitational force
D. maintain it's gravity | C. gain gravitational force | astronomy | physics | ||
mmlu_aux_train_44797 | mmlu_aux_train | Controlling traffic is a complex and high cost problem in many developed countries. It becomes more difficult and costly with the ever- increasing number of cars on the roads. But scientists and students at the CATT, at the University of Maryland are working to solve this problem. They are using simulation technologie... | B. They can reach an accident area faster. | college_computer_science | computer_science | ||
math_1874 | math_mc | A number is called a visible factor number if it is divisible by each of its non-zero digits. For example, 102 is divisible by 1 and 2, so it is a visible factor number. How many visible factor numbers are there from 100 through 150, inclusive? | D | math_Prealgebra | mathematics | ||
math_1749 | math_mc | Find the sum of all positive integers $n$ for which $n^2-19n+99$ is a perfect square.Find the sum of all integers $n$ such that $\dfrac{12}{n}$ is also an integer.
| A | math_Number Theory | mathematics | ||
mmlu_aux_train_96708 | mmlu_aux_train | A person will go through many stages in life, some more fun than others. Considering these stages, all are real aside from
A. physical maturation
B. infancy
C. fishinghood
D. childhood | C. fishinghood | high_school_biology | biology | ||
aquarat_90044 | deepmind/aqua_rat | In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males? | A. 75 B. 40 C. 15 D. Cannot be determined E. None of these | E. None of these | Houses containing only one person = 100 – 40 = 60%
Houses containing only a male = 60 × 25⁄100 = 15%
∴ Houses containing only one female = 60 – 15 = 45%
Answer E | high_school_statistics | mathematics |
pythonio_715 | pythonio-mc | Program:
def get_inv_count(arr, n):
inv_count = 0
for i in range(n):
for j in range(i + 1, n):
if (arr[i] > arr[j]):
inv_count += 1
return inv_count
Input:
get_inv_count([3, 1, 2], 3)
Output: | C | code | computer_science | ||
mmlu_aux_train_1776 | mmlu_aux_train | In which taxonomic group are organisms found that share the characteristic of storing hereditary material in a single loop of DNA?
A. bacteria
B. fungi
C. plants
D. animals | A. bacteria | high_school_biology | biology | ||
allenai/sciq_3792 | allenai/sciq | Which enzyme is used in step three of the polymerase chain reaction because of it's ability to withstand high temperatures?
A. taq polymerase
B. carbon polumerase
C. backronym polymerase
D. minocycline polymerase | A. taq polymerase | When appropriate, a symbol may be written above or below the arrow to indicate some special circumstance. The symbol "Δ" is often used to indicate that the reaction is to be heated. | college_biology | biology | |
mmlu_aux_train_82965 | mmlu_aux_train | Is your TV connected to the Internet? What about your chair or your fridge? It is possible that they are not. But in the future, most things in your home may be connected, as the so-called "Internet of things" is developing. The Internet of things may be coming sooner than you think. It is reported that during his spee... | A. the Internet of things will appear in our daily life sooner | computer_security | computer_science | ||
math_1366 | math_mc | Define
\[c_k = k + \cfrac{1}{2k + \cfrac{1}{2k + \cfrac{1}{2k + \dotsb}}}.\]Calculate $\sum_{k = 1}^{11} c_k^2.$ | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_50817 | mmlu_aux_train | Tim Berners-Lee is the man who wrote the software program that led to the foundation of the World Wide Web. Britain played an important part in developing the first generation of computers. The parents of Tim Berners-Lee both worked on one of the earliest commercial computers and talked about their work at home. As a... | A. British | high_school_computer_science | computer_science | ||
allenai/sciq_3652 | allenai/sciq | A rusty bike has been left outside in damp weather too many times, so the iron in the metal parts have?
A. melted
B. decayed
C. rusted
D. eroded | C. rusted | Look at this rusty bike. It has been left outside in damp weather too many times, so the iron in the metal parts has rusted. Iron rusts when it combines with oxygen in the air. Iron rusting is an example of a chemical reaction. In a chemical reaction, substances change into entirely different substances. For example, t... | high_school_chemistry | chemistry | |
pythonio_374 | pythonio-mc | Program:
def average_Even(n) :
if (n% 2!= 0) :
return ("Invalid Input")
return -1
sm = 0
count = 0
while (n>= 2) :
count = count+1
sm = sm+n
n = n-2
return sm // count
Input:
average_Even(2)
Output: | C | code | computer_science |
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