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mmlu_aux_train_73526
mmlu_aux_train
Men have always wanted to fly like birds. Birds can fly easily because they are light,but men's bodies are heavier. Men first went up into the air in balloons. These were big bags,and they were filled with gas. Hydrogen is a useful gas for balloons. It is lighter than air. _ is also lighter than air,but it costs a lo...
B. men's bodies are too heavy
high_school_physics
physics
aquarat_83889
deepmind/aqua_rat
Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?
A. Daughter B. Son C. Nephew D. Cannot be decided E. None
C. Nephew
since the lady is daughter of his grandfather ...so she must be sister of his mother....that means he is the nephew. ANSWER:C
formal_logic
mathematics
pythonio_452
pythonio-mc
Program: def find_ind(key, i, n, k, arr): ind = -1 start = i + 1 end = n - 1; while (start < end): mid = int(start + (end - start) / 2) if (arr[mid] - key <= k): ind = mid start = mid + 1 else: end = mid return ind def removals(arr, n, k): ans = n - 1 arr.sort() for i in ...
B
code
computer_science
allenai/sciq_10752
allenai/sciq
What does the concentration of a solution represent? A. percentage of solute B. spending of solute C. the darkness D. the percentage of contaminates
A. percentage of solute
The concentration of a solution represents the percentage of the solution that is the solute. You can calculate the concentration of a solution using this formula:.
high_school_chemistry
chemistry
allenai/sciq_1065
allenai/sciq
What is the outer core made of? A. solid rock B. compressed air C. liquid metal D. solid iron
C. liquid metal
Yes! The outer core, anyway. The outer core is liquid metal, like in this photo. Of course, the metal is under an incredible amount of pressure.
college_earth_science
earth_science
math_235
math_mc
A portion of the graph of $y = f(x)$ is shown in red below, where $f(x)$ is a quadratic function. The distance between grid lines is $1$ unit. What is the sum of all distinct numbers $x$ such that $f(f(f(x)))=-3$ ? [asy] size(150); real ticklen=3; real tickspace=2; real ticklength=0.1cm; real axisarrowsize=0.14...
D
math_Algebra
mathematics
math_833
math_mc
The center of a circle has coordinates $(6,-5)$. The circle is reflected about the line $y=x$. What are the $x,y$ coordinates of the center of the image circle? State the $x$ coordinate first.
D
math_Geometry
mathematics
math_787
math_mc
A circle passes through the three vertices of an isosceles triangle that has two sides of length 3 and a base of length 2. What is the area of this circle? Express your answer in terms of $\pi$.
D
math_Geometry
mathematics
mmlu_aux_train_1244
mmlu_aux_train
In making a pizza, which process involves a chemical change? A. mixing spices for the sauce B. slicing pepperoni for the topping C. spreading cheese on the pizza D. baking the dough to form the crust
D. baking the dough to form the crust
high_school_chemistry
chemistry
allenai/sciq_3915
allenai/sciq
Earthquake waves that travel trhough underground rocks in all directions are known as? A. tertiary waves B. typical waves C. primary waves D. secondary waves
D. secondary waves
Another example of transverse waves occurs with earthquakes. The disturbance that causes an earthquake sends transverse waves through underground rocks in all directions from the disturbance. Earthquake waves that travel this way are called secondary, or S, waves. An S wave is illustrated in Figure below .
earth_science
earth_science
math_1647
math_mc
Let $R$ be the set of all possible remainders when a number of the form $2^n$, $n$ a nonnegative integer, is divided by 1000. Let $S$ be the sum of the elements in $R$. Find the remainder when $S$ is divided by 1000.
D
math_Number Theory
mathematics
math_1044
math_mc
Let $ABCD$ be an isosceles trapezoid with $\overline{AD}||\overline{BC}$ whose angle at the longer base $\overline{AD}$ is $\dfrac{\pi}{3}$. The diagonals have length $10\sqrt {21}$, and point $E$ is at distances $10\sqrt {7}$ and $30\sqrt {7}$ from vertices $A$ and $D$, respectively. Let $F$ be the foot of the altitud...
B
math_Geometry
mathematics
math_2042
math_mc
John surveyed a group of people about their knowledge of rats. To the nearest tenth of a percent, he found that $86.8\%$ of the people surveyed thought rats carried diseases. Of the people who thought rats carried diseases, $45.7\%$ said that rats frequently carried rabies. Since rats do not frequently carry rabies, th...
A
math_Prealgebra
mathematics
math_1629
math_mc
When $1 + 7 + 7^2 + \cdots + 7^{2004}$ is divided by $1000$, a remainder of $N$ is obtained. Determine the value of $N$.
A
math_Number Theory
mathematics
NLP4Education_301
NLP4Education
Consider a linear model $\hat{y} = xv ^ op \wv$ with the squared loss under an $\ell_\infty$-bounded adversarial perturbation. For a single point $(xv, y)$, it corresponds to the following objective: \begin{align} \max_{ ilde{xv}:\ \|xv- ilde{xv}\|_\infty\leq \epsilon} \left(y - ilde{xv} ^ op \wv ight)^{2}, ...
C. $(9+5\epsilon)^2$
machine_learning
computer_science
allenai/sciq_5878
allenai/sciq
What type of minerals form when salt water evaporates? A. carbonate B. fermite C. halide D. sulfide
C. halide
Halide minerals are salts. They form when salt water evaporates. This mineral class includes more than just table salt. Halide minerals may contain the elements fluorine, chlorine, bromine, or iodine. Some halide minerals combine with metal elements. Common table salt is a halide mineral that contains the elements chlo...
high_school_chemistry
chemistry
math_1821
math_mc
In a right triangle with integer length sides, the hypotenuse has length 39 units. How many units is the length of the shorter leg?
B
math_Prealgebra
mathematics
aquarat_58236
deepmind/aqua_rat
A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
A. 238 B. 150 C. 195 D. 177 E. 171
C. 195
Let the length of the train be x m and its speed be y m/sec. Then, x/y = 15 => y = x/15 (x + 130)/25 = x/15 => x = 195 m. Answer: C
high_school_physics
physics
aquarat_7563
deepmind/aqua_rat
What is the value of X, if 1/(log442/441 X) + 1/(log443/442 X) + 1/(log444/443 X) +…+ 1/(log899/898 X) +1/(log900/899 X) = 2?
A. 2/21 B. 1 C. 7/100 D. 10/7 E. None of these
D. 10/7
The given equation = 1/(log442/441 X) = (log442/441)/logX = logX 442/441. = logX 442/441 + logX 443/442 + logX 444/443 +......+ logX 899/898 + logX 900/899 = 2. = logX 900/441 = 2 =>X2 = 900/441 =>X = 30/21 = 10/7. ANSWER:D
college_mathematics
mathematics
pythonio_124
pythonio-mc
Program: def toggle_string(string): string1 = string.swapcase() return string1 Input: toggle_string("Pangram") Output:
C
code
computer_science
allenai/sciq_7307
allenai/sciq
The shapes of minerals form as they are broken along what planes? A. calcium planes B. parallel planes C. cleavage planes D. sedimentary planes
C. cleavage planes
Minerals can form various shapes. Polygons are pictured below ( Figure below ). The shapes form as the minerals are broken along their cleavage planes. Cleavage planes determine how the crystals can be cut to make smooth surfaces. People who cut gemstones follow cleavage planes. Diamonds and emeralds can be cut to make...
college_earth_science
earth_science
pythonio_953
pythonio-mc
Program: def join_tuples(test_list): res = [] for sub in test_list: if res and res[-1][0] == sub[0]: res[-1].extend(sub[1:]) else: res.append([ele for ele in sub]) res = list(map(tuple, res)) return (res) Input: join_tuples([(5, 6), (5, 7), (6, 8), (6, 10), (7, 13)] ) Output:
D
code
computer_science
math_350
math_mc
How many square units are in the area of the triangle whose vertices are the $x$ and $y$ intercepts of the curve $y = (x-3)^2 (x+2)$?
A
math_Algebra
mathematics
pythonio_495
pythonio-mc
Program: def multiply_elements(test_tup): res = tuple(i * j for i, j in zip(test_tup, test_tup[1:])) return (res) Input: multiply_elements((2, 4, 5, 6, 7)) Output:
B
code
computer_science
allenai/sciq_9965
allenai/sciq
Where does groundwater primarily come from? A. erosion B. precipitation C. evaporation D. sediment
B. precipitation
Some precipitation that falls on land soaks into the ground. This water becomes groundwater. Groundwater may seep out of the ground at a spring or into a body of water such as the ocean. Some groundwater is taken up by plant roots. Some may flow deeper underground to an aquifer. An aquifer is an underground layer of ro...
high_school_biology
biology
aquarat_29393
deepmind/aqua_rat
If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?
A. f(x) B. 1/-f(x) C. -2/-f(x) D. -3/-f(x) E. -f(x)
E. -f(x)
If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x) answer E
college_mathematics
mathematics
pythonio_610
pythonio-mc
Program: from itertools import combinations def find_combinations(test_list): res = [(b1 + a1, b2 + a2) for (a1, a2), (b1, b2) in combinations(test_list, 2)] return (res) Input: find_combinations([(3, 5), (7, 8), (6, 2), (7, 11)]) Output:
B
code
computer_science
aquarat_18215
deepmind/aqua_rat
If f is a function defined for all k by f(k) = k^(2/3)/16, what is f(64 k) in terms of f(k)?
A. 1/8 f(k) B. 5/8 f(k) C. 2 f(k) D. 16 f(k) E. 32 f(k)
D. 16 f(k)
f(k) = k^(2/3)/16 f(64 k) = (64k)^(2/3)/16 = 16 * k^(2/3)/16 = 16 * (k^(2/3)/16) = 16 f(k). So answer is D.
college_mathematics
mathematics
allenai/sciq_9970
allenai/sciq
What is it called when currents keep reversing direction? A. circle current B. emitting current C. alternating current D. stream current
C. alternating current
When current keeps reversing direction, it is called alternating current (AC) . You can see how it works in the two diagrams below. The current that comes from a power plant and supplies electricity to homes and businesses is alternating current. The current changes direction 60 times per second. It happens so quickly ...
electrical_engineering
engineering
aquarat_43248
deepmind/aqua_rat
Two people P Q start a race in a circular track in opposite way different but constant speed. First they meet 900m cw from the starting pt. Then they meet 800m ccw from the starting pt. What's the circumference of the circle.
A. 2600 B. 2700 C. 2800 D. 2900 E. 2500
A. 2600
when they first met 900m cw from the starting pt. second time, they will meet at 1800 m cw from starting point which is 800 m CCW from starting point. so circumference of circle = 1800+800 = 2600 m ANSWER:A
college_mathematics
mathematics
aquarat_28621
deepmind/aqua_rat
A set consist of 2p-1 element. What is the number of subsets of this set which contain at most p-1 elements?
A. 2^(2p-2) B. 2^(2p) - 2 C. 2^(2p) -1 D. 2^(2p) E. 2^(2p-1)
A. 2^(2p-2)
I used p=3, so then we have 5!/2!3! + 5!/4!1! + 5!/0!5! 10 + 5 + 1 = 16 So our target is 16 Now replace in answer choices A gives us 2^4 = 16 Hence A is the correct option Read carefully it says at most so keep in mind that picking a small number such as 3 will help you save time since you have to list fewer outcomes A...
college_mathematics
mathematics
mmlu_aux_train_13628
mmlu_aux_train
I remember the first time that I was extremely happy. I was about 8 years old when for the first time, there was a computer in the classroom. I remember that my teacher allowed each student to take turns playing various educational games on the computer. One day, I found the source code for one of these games. Withou...
A. To play various educational games.
high_school_computer_science
computer_science
math_1234
math_mc
The cubic polynomial $p(x)$ satisfies $p(2) = 1,$ $p(7) = 19,$ $p(15) = 11,$ and $p(20) = 29.$ Find \[p(1) + p(2) + p(3) + \dots + p(21).\]
C
math_Intermediate Algebra
mathematics
mmlu_aux_train_89496
mmlu_aux_train
"Three apples have changed the world. One is for Eve, one is for Newton. The third is in the hands of Steve Jobs." said someone. Steve Jobs was the former CEO of the Apple computer company in his parents' garage on April Fool's Day, 1976. Through many years' hard work, Jobs and his Apple products were a great success...
D. In his parents' garage.
high_school_computer_science
computer_science
math_1585
math_mc
There exist $r$ unique nonnegative integers $n_1 > n_2 > \cdots > n_r$ and $r$ unique integers $a_k$ ($1\le k\le r$) with each $a_k$ either $1$ or $- 1$ such that\[a_13^{n_1} + a_23^{n_2} + \cdots + a_r3^{n_r} = 2008.\]Find $n_1 + n_2 + \cdots + n_r$.
A
math_Number Theory
mathematics
aquarat_81116
deepmind/aqua_rat
What type of switch is this?
A. 2 B. 7 C. 6 D. 8 E. 9
B. 7
Answer:B
electrical_engineering
engineering
allenai/sciq_10288
allenai/sciq
Deletions remove one or more what from the dna? A. nucleotides B. genes C. codons D. exons
A. nucleotides
Similar to chromosomal alteration mutations, deletion or insertion mutations add or remove genetic information. Small deletions or insertions in the DNA will alter the reading frame. Deletions remove one or more nucleotides from the DNA, whereas insertions add one or more nucleotides into the DNA. These mutations in th...
college_biology
biology
allenai/sciq_3985
allenai/sciq
What do voltmeters measure? A. frequency B. voltage C. temperature D. amplitude
B. voltage
21.4 DC Voltmeters and Ammeters • Voltmeters measure voltage, and ammeters measure current. • A voltmeter is placed in parallel with the voltage source to receive full voltage and must have a large resistance to limit its effect on the circuit. • An ammeter is placed in series to get the full current flowing through a ...
electrical_engineering
engineering
mmlu_aux_train_98199
mmlu_aux_train
A bee may be vital for A. time travel B. metal C. cars D. basil
D. basil
high_school_biology
biology
mmlu_aux_train_49219
mmlu_aux_train
Do you sometimes put off doing your homework on a school night to watch TV?A new study says that middle school students who watch TV or play video games during the week do worse in school. The study also says that watching TV and playing video games on weekends don't affect school performance that much. "They could wa...
A. Study Says Students Shouldn't Watch TV on a School Night
high_school_statistics
mathematics
pythonio_948
pythonio-mc
Program: def remove_empty(tuple1): #L = [(), (), ('',), ('a', 'b'), ('a', 'b', 'c'), ('d')] tuple1 = [t for t in tuple1 if t] return tuple1 Input: remove_empty([(), (), ('',), ("python"), ("program")]) Output:
B
code
computer_science
allenai/sciq_4701
allenai/sciq
Fertilizer runoff can create what type of zones in the ocean? A. barren zones B. hot zones C. dead zones D. fresh zones
C. dead zones
Fertilizer runoff can create dead zones in the ocean.
high_school_biology
biology
math_1870
math_mc
A square and a regular heptagon are coplanar and share a common side $\overline{AD}$, as shown. What is the degree measure of exterior angle $BAC$? Express your answer as a common fraction. [asy] for(int i=0; i <=7; ++i) { draw(dir(360*i/7+90)--dir(360*(i+1)/7+90)); } pair A = dir(360*3/7+90); pair F = dir(360*4/7+9...
D
math_Prealgebra
mathematics
NLP4Education_583
NLP4Education
Select a correct statement A. Morse alphabet is a cipher B. Morse alphabet is a code C. Morse alphabet preserves confidentiality D. Morse alphabet preserves authenticity
B. Morse alphabet is a code
computer_security
computer_science
math_1007
math_mc
Let $\overline{MN}$ be a diameter of a circle with diameter 1. Let $A$ and $B$ be points on one of the semicircular arcs determined by $\overline{MN}$ such that $A$ is the midpoint of the semicircle and $MB=\frac{3}5$. Point $C$ lies on the other semicircular arc. Let $d$ be the length of the line segment whose endpoin...
B
math_Geometry
mathematics
mmlu_aux_train_97536
mmlu_aux_train
Which is least likely to have a constant volume? A. ice B. play doh C. food D. car exhaust
D. car exhaust
high_school_physics
physics
allenai/sciq_7369
allenai/sciq
What sciences are the study of living organisms? A. life sciences B. social sciences C. earth sciences D. physical sciences
A. life sciences
The life sciences are the study of living organisms. They deal with every aspect of living organisms, from the biology of cells , to the biology of individual organisms, to how these organisms interact with other organisms and their environment.
high_school_biology
biology
mmlu_aux_train_20291
mmlu_aux_train
Siberia is a huge territory in Russia. It is more than half of Russia and is 4,000 miles wide. Most of this area is a forest with animals and birds. In autumn, the forests in Siberia are full of mushrooms and berries . Many people like picking mushrooms, but that is not as simple as you might think. Old people who liv...
A. Siberia, an interesting and beautiful place.
high_school_biology
biology
allenai/sciq_5546
allenai/sciq
What do we call the mathematical field of study credited to french mathematician-philosopher rene descartes? A. algebra B. cartesian geometry C. Euclidean geometry D. calculus
B. cartesian geometry
The plot that we know of as a graph was the brainchild of the French mathematician-philosopher Rene Descartes (1596-1650). His studies in mathematics led him to develop what was known as “Cartesian geometry”, including the idea of our current graphs. The coordinates are often referred to as Cartesian coordinates.
college_mathematics
mathematics
math_1390
math_mc
Find the sum of the absolute values of the roots of $x^4-4x^3-4x^2+16x-8=0$.
D
math_Intermediate Algebra
mathematics
aquarat_10759
deepmind/aqua_rat
How many arrangements of the letters of the word DEFEATED are there in which the three E are separated?
A. 840 B. 750 C. 770 D. 760 E. 820
A. 840
Total arrangements-Three E's together-Exactly Two E's together Total arrangement= 8!/3!2! Three E's together= 6!/2! Exactly Two E's together= Two E's together - Three E's together = 7!/2!−6/!2!=6∗6!/2! 8!/3!2!−6!/2!−6∗6!/2! 8!/3!2!−7!/2!=7!/2!∗13=840 Ans: "840" A
college_mathematics
mathematics
allenai/sciq_7713
allenai/sciq
What are mid-wavelength electromagnetic waves commonly referred to as? A. gamma rays B. electricity C. x-rays D. light
D. light
Mid-wavelength electromagnetic waves are commonly called light. This range of electromagnetic waves has shorter wavelengths and higher frequencies than radio waves, but not as short and high as X rays and gamma rays. Light includes visible light, infrared light, and ultraviolet light. If you look back at Figure above ,...
college_physics
physics
aquarat_24787
deepmind/aqua_rat
If north becomes south-west ant south-west becomes east and all the directions changed in the same manner,then what will be the direction for south-east?
A. North-West B. North-East C. North D. West E. none
C. North
North -> South-west North-east -> West East -> North-west South-east -> North South -> North-east South-west -> east West -> South-east North-west -> south ANSWER:C
formal_logic
mathematics
mmlu_aux_train_76045
mmlu_aux_train
Every time you go online you leave a digital footprint. This is just like a real footprint. It tells where you have been, how long you stayed on line and what you have been doing there. It's easy to get the information and show your digital footprint every time when you send an email, messages and photos. You shouldn...
B. By using internet.
computer_security
computer_science
math_1812
math_mc
Let $p$ be the largest prime with 2010 digits. What is the smallest positive integer $k$ such that $p^2 - k$ is divisible by 12?
D
math_Number Theory
mathematics
math_56
math_mc
What is the minimum value of $z$ if $z=x^2+2y^2+6x-4y+22?$
D
math_Algebra
mathematics
mmlu_aux_train_11741
mmlu_aux_train
As motorways become more and more blocked up with traffic, a new generation on flying cars will be needed to ferry people along skyways. That is the conclusion of engineers from the US space agency and aeronautical firms, who _ future commuters traveling by "skycar". These could look much like the concept skycar shown ...
A. Developing Skycars
engineering
engineering
aquarat_67209
deepmind/aqua_rat
A pharmaceutical company received $4 million in royalties on the first $24 million in sales of generic equivalent of one of its products and then $5 million in royalties on the next $60 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $24 million in sales to th...
A. 10% B. 20% C. 25% D. 30% E. 35%
B. 20%
change in ratio of royalties to sales = 4/24 -5/60 = 1/12 % decrease = (1/12)/(4/24) *100 = 20% Answer: B)
college_mathematics
mathematics
pythonio_90
pythonio-mc
Program: import re def fill_spaces(text): return (re.sub("[ ,.]", ":", text)) Input: fill_spaces('Probass Curve Audio') Output:
C
code
computer_science
math_1760
math_mc
What is $3^{-1} + 3^{-2} \pmod{25}$? Express your answer as an integer from $0$ to $24$, inclusive.
C
math_Number Theory
mathematics
math_1992
math_mc
Simplify $((5p+1)-2p\cdot4)(3)+(4-1\div3)(6p-9)$ to a much simpler expression of the form $ap-b$ , where $a$ and $b$ are positive integers.
B
math_Prealgebra
mathematics
NLP4Education_749
NLP4Education
Consider the following loaded dice with $6$ faces: $P(S_1=6)=5/6$ and $P(S_1 = x)=1/30$ for $x\in\{1,2,3,4,5\}$. Suppose we throw it indefinitely. Hence, we have a source $S=S_1 S_2 S_3\ldots$. Then, $H(S_n) = H(S_{n-1})$. A. Always true B. Sometimes true C. Always false D. Cannot be determined
A. Always true
college_mathematics
mathematics
mmlu_aux_train_97046
mmlu_aux_train
A skunk wards off predators with A. a noxious spray B. bad taste C. a powerful nose D. smelling good
A. a noxious spray
high_school_biology
biology
aquarat_34686
deepmind/aqua_rat
What will be the output of the following code statements? Integer a = 20, b = 30, c = 8 print (a × b / c) – c
A. 65 B. 67 C. 70 D. 26 E. 81
B. 67
Explanation: Apply BODMAS rule 20 × 30 = 600/8-8 =75 –8 =67 Answer:B
coding
computer_science
aquarat_47504
deepmind/aqua_rat
I. l-14, l, l, l, l+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
allenai/sciq_4090
allenai/sciq
Heavier isotopes of plutonium are also produced when lighter plutonium nuclei capture what? A. molecules B. protons C. electrons D. neutrons
D. neutrons
Heavier isotopes of plutonium—Pu-240, Pu-241, and Pu-242—are also produced when lighter plutonium nuclei capture neutrons. Some of this highly radioactive plutonium is used to produce military weapons, and the rest presents a serious storage problem because they have half-lives from thousands to hundreds of thousands o...
high_school_chemistry
chemistry
allenai/sciq_5015
allenai/sciq
What refers to a substance made from two or more elements joined by chemical bonds? A. basic B. contrast C. compound D. component
C. compound
In nature, elements rarely occur alone. Instead, they combine to form compounds. A compound is a substance composed of two or more elements joined by chemical bonds. For example, the compound glucose is an important body fuel. It is always composed of the same three elements: carbon, hydrogen, and oxygen. Moreover, the...
high_school_chemistry
chemistry
allenai/sciq_5352
allenai/sciq
Methane, ethane, and propane are three of the smallest what? A. atoms B. alkanes C. organisms D. microorganisms
B. alkanes
The three smallest alkanes are methane, ethane, and propane. Some hydrocarbons have one or more carbon–carbon double bonds (denoted C=C). These hydrocarbons are called alkenes. http://catalog. flatworldknowledge. com/bookhub/reader/2547 - gobch04_s06_f02shows the formulas and the molecular models of the two simplest al...
high_school_chemistry
chemistry
aquarat_95764
deepmind/aqua_rat
Let A be the positive integer satisfying the following equation. 9/10 + 99/102th + 999/103rd + · · · + 9999999999/1010th = A/1010th How many 8’s appear in the decimal representation of A ?
A. 0 B. 1 C. 5 D. 8 E. 9
E. 9
The sum equals (1- 0.1) + (1- .01) +...+ (1 - .0000000001) = 10 .1111111111 = 9:8888888889. Thus A = 98888888889 correct answer E
college_mathematics
mathematics
math_1092
math_mc
Square $ABCD$ has side length $30$. Point $P$ lies inside the square so that $AP = 12$ and $BP = 26$. The centroids of $\triangle{ABP}$, $\triangle{BCP}$, $\triangle{CDP}$, and $\triangle{DAP}$ are the vertices of a convex quadrilateral. What is the area of that quadrilateral? [asy] unitsize(120); pair B = (0, 0), A = ...
C
math_Geometry
mathematics
aquarat_38966
deepmind/aqua_rat
Computer completes the first iteration in 10 seconds and then the following iterations are completed in 7 seconds as constants are already loaded. What is the maximum number of completed iterations under 5 minutes?
A. 41 B. 42 C. 43 D. 44 E. 45
B. 42
b must be an integer as it is the number of completed iterations at a rate of 7sec/iteration 10 + 7b =5*60 7b = 290 b= 41 The total number of iterations --> 41+1 = 42 and 43rd iteration will be completed at 304seconds which is above 5 minutes ANSWER: B
college_computer_science
computer_science
allenai/sciq_3283
allenai/sciq
Chemical equations need to be balanced to satisfy the law of what? A. glow of matter B. material of matter C. conservation of matter D. speed of matter
C. conservation of matter
Chemical equations need to be balanced to satisfy the law of conservation of matter.
high_school_chemistry
chemistry
mmlu_aux_train_2741
mmlu_aux_train
Which plant part is similar to a bird's egg? A. leaf B. root C. seed D. stem
C. seed
high_school_biology
biology
math_1513
math_mc
Let $f : \mathbb{R} \to \mathbb{R}$ be a function such that \[f(f(x) - y) = f(x) + f(f(y) - f(-x)) + x\]for all real numbers $x$ and $y.$ Let $n$ be the number of possible values of $f(3),$ and let $s$ be the sum of all possible values of $f(3).$ Find $n \times s.$
A
math_Intermediate Algebra
mathematics
mmlu_aux_train_98780
mmlu_aux_train
One way to retain your own thermal energy is to A. sit in snow B. wear fluffy socks C. sleep in freezers D. bathe in ice
B. wear fluffy socks
high_school_physics
physics
NLP4Education_262
NLP4Education
After the join step, the number of k+1-itemsets A. is always equal to the number of frequent k-itemsets B. can be equal, lower or higher than the number of frequent k-itemsets C. is always higher than the number of frequent k-itemsets D. is always lower than the number of frequent k-itemsets
B. can be equal, lower or higher than the number of frequent k-itemsets
computer_security
computer_science
pythonio_326
pythonio-mc
Program: def remove_similar_row(test_list): res = set(sorted([tuple(sorted(set(sub))) for sub in test_list])) return (res) Input: remove_similar_row([[(4, 5), (3, 2)], [(2, 2), (4, 6)], [(3, 2), (4, 5)]] ) Output:
D
code
computer_science
allenai/sciq_1491
allenai/sciq
What is produced when sulfur and oxygen combine? A. Acidic oxides B. sulfur oxide C. Basic Oxides D. hydrogen oxide
B. sulfur oxide
Sulfur oxides are produced when sulfur and oxygen combine. This happens when coal that contains sulfur burns.
high_school_chemistry
chemistry
math_1578
math_mc
What is the remainder of $19^{1999}$ divided by 25?
A
math_Number Theory
mathematics
math_1661
math_mc
For a positive integer $n$ and nonzero digits $a$, $b$, and $c$, let $A_n$ be the $n$-digit integer each of whose digits is equal to $a$; let $B_n$ be the $n$-digit integer each of whose digits is equal to $b$, and let $C_n$ be the $2n$-digit (not $n$-digit) integer each of whose digits is equal to $c$. What is the gre...
B
math_Number Theory
mathematics
allenai/sciq_107
allenai/sciq
What does lattice energy of an ionic solid measure the strength of? A. metals B. bonds C. atoms D. electrons
B. bonds
Lattice energy of an ionic solid is a measure of the strength of bonds in that ionic compound.
college_chemistry
chemistry
NLP4Education_188
NLP4Education
What is the output of the following block of Python code? (one answer) \verb|my_string = 'computational'| \verb|print(my_string[1])| \verb|print(my_string[3:5])| A. c\nmpu B. o\nput C. c\nmp D. o\npu
D. o\npu
coding
computer_science
aquarat_67232
deepmind/aqua_rat
There are nine leopards and one sheep. Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s). If we leave them for some time then how many sheep and leopard will be there , when we come back ?
A. 7 leopard and 3 sheep B. 8 leopard and 1 sheep C. 6 leopard and 4 sheep D. 5 leopard and 1 sheep E. 2 leopard and 5 sheep
B. 8 leopard and 1 sheep
B 8 leopard and 1 sheep since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this.
formal_logic
mathematics
pythonio_901
pythonio-mc
Program: import re def num_position(text): for m in re.finditer("\d+", text): return m.start() Input: num_position("there are 70 flats in this apartment") Output:
A
code
computer_science
allenai/sciq_2518
allenai/sciq
At the anode, liquid chloride ions are oxidized to what? A. Heavy Gas B. chlorine gas C. elemental gas D. nitrogen gas
B. chlorine gas
In a Down’s cell, the liquid sodium ions are reduced at the cathode to liquid sodium metal. At the anode, liquid chloride ions are oxidized to chlorine gas. The reactions and cell potentials are shown below.
high_school_chemistry
chemistry
allenai/sciq_1730
allenai/sciq
What causes continents to drift closer to the poles or the equator? A. time B. plate tectonics C. earthquakes D. plate movements
D. plate movements
Plate movements cause continents to drift closer to the poles or the equator. Ocean currents also shift when continents drift. All these changes can affect Earth’s temperature.
earth_science
earth_science
mmlu_aux_train_1158
mmlu_aux_train
Why should plants be included in investigations about the water cycle? A. Plants speed up the water cycle by removing carbon from the air. B. Plants start the water cycle when they make water in photosynthesis. C. Plants are part of the water cycle through the process of transpiration. D. Plants stop the water cycle b...
C. Plants are part of the water cycle through the process of transpiration.
high_school_biology
biology
mmlu_aux_train_17516
mmlu_aux_train
After lots of hype, the new iPhone 3GS has arrived, boasting an improved camera, better battery life, and speedier performance. But is it a must? The iPhone 3GS is available in two versions: 16GB and 32GB. The 16GB version costs $199, while the 32GB version costs $299. From the outside, the iPhone 3GS looks exactly li...
D. their batteries and speeds
high_school_computer_science
computer_science
NLP4Education_34
NLP4Education
For each of the sub-questions of this question (next page), tick/check the corresponding box if the presented sentence is correct at the corresponding level (for a human). There will be a penalty for wrong boxes ticked/checked. Some sentences is hard understand to. A. lexical B. syntactic C. semantic D. pragmatic
A. lexical
formal_logic
mathematics
NLP4Education_562
NLP4Education
We want to generate a $\ell$-bit prime. The complexity is roughly… A. $\ell^2$ B. $\ell^3$ C. $\ell^4$ D. $\ell^5$
C. $\ell^4$
college_computer_science
computer_science
pythonio_20
pythonio-mc
Program: def find_Min_Sum(num): sum = 0 i = 2 while(i * i <= num): while(num % i == 0): sum += i num /= i i += 1 sum += num return sum Input: find_Min_Sum(12) Output:
B
code
computer_science
allenai/sciq_657
allenai/sciq
When sparks from a steel grinder react with oxygen, what do they form? A. rust B. steel oxide C. iron oxide D. spontaneous combustion
C. iron oxide
The sparks from a steel grinder are molten iron. The iron reacts with oxygen to form iron(III) oxide.
high_school_chemistry
chemistry
aquarat_52141
deepmind/aqua_rat
Nr Books bought Nr of People 5 3 6 3 7 7 8 2 9 8 What is the median of books bought per person?
A. a) 2 B. b) 4 C. c) 7 D. d) 8 E. e) 18
C. c) 7
5, 5, 5, 6, 6, 6, 7, 7, 7, 7,7 ,7, 7, 8, 8, 9, 9, 9,... (8 times) so you will observer that the median of the list is 7. Ans C
high_school_statistics
mathematics
pythonio_474
pythonio-mc
Program: import math import sys def sd_calc(data): n = len(data) if n <= 1: return 0.0 mean, sd = avg_calc(data), 0.0 for el in data: sd += (float(el) - mean)**2 sd = math.sqrt(sd / float(n-1)) return sd def avg_calc(ls): n, mean = len(ls), 0.0 if n <= 1: ...
B
code
computer_science
math_1216
math_mc
The real function $f$ has the property that, whenever $a,$ $b,$ $n$ are positive integers such that $a + b = 2^n,$ the equation \[f(a) + f(b) = n^2\]holds. What is $f(2002)$?
C
math_Intermediate Algebra
mathematics
allenai/sciq_8552
allenai/sciq
Noble gases are monatomic because they only contain one of what? A. atoms B. charges C. ions D. molecules
A. atoms
The Noble Gases The noble gases are helium, neon, argon, krypton, xenon, and radon. Because the noble gases are composed of only single atoms, they are monatomic. At room temperature and pressure, they are unreactive gases. Because of their lack of reactivity, for many years they were called inert gases or rare gases. ...
high_school_chemistry
chemistry
allenai/sciq_8050
allenai/sciq
What structures receive blood from the atria and pump it out of the heart? A. muscles B. ventricles C. valves D. Vascular Fibers
B. ventricles
The bottom two chambers of the heart are called the left and right ventricles. The ventricles receive blood from the atria and pump it out of the heart, either to the lungs or to the rest of the body.
high_school_biology
biology
allenai/sciq_5113
allenai/sciq
Photosynthesis uses solar energy, carbon dioxide, and water to produce energy-storing carbohydrates.what is produced as a waste product? A. calcium B. methane C. oxygen D. sulfur
C. oxygen
Figure 8.4 Photosynthesis uses solar energy, carbon dioxide, and water to produce energy-storing carbohydrates. Oxygen is generated as a waste product of photosynthesis.
high_school_biology
biology
pythonio_884
pythonio-mc
Program: def dealnnoy_num(n, m): if (m == 0 or n == 0) : return 1 return dealnnoy_num(m - 1, n) + dealnnoy_num(m - 1, n - 1) + dealnnoy_num(m, n - 1) Input: dealnnoy_num(4, 5) Output:
C
code
computer_science
math_1937
math_mc
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number. [asy] unitsize(2mm); defaultpen(linewidth(.7pt)); dotfactor=3; path[] todraw = (1,9)--(9,9)--(9,1) ^^...
A
math_Prealgebra
mathematics