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allenai/sciq_9003
allenai/sciq
What function does a vacuole do for a cell? A. reproduction B. storage C. division D. transfer
B. storage
Most mature plant cells have a central vacuole that occupies more than 30% of the cell's volume. The central vacuole can occupy as much as 90% of the volume of certain cells. The central vacuole is surrounded by a membrane called the tonoplast . The central vacuole has many functions. Aside from storage, the main role ...
high_school_biology
biology
pythonio_384
pythonio-mc
Program: def Check_Vow(string, vowels): final = [each for each in string if each in vowels] return(len(final)) Input: Check_Vow('true','AaEeIiOoUu') Output:
C
code
computer_science
allenai/sciq_9628
allenai/sciq
Which plants sometimes colonize areas by disrupting interactions between native organisms? A. denser exotic plants B. carnivorous exotic plants C. invasive exotic plants D. bacteria exotic plants
C. invasive exotic plants
college_biology
biology
math_868
math_mc
In the figure, $m\angle A = 28^{\circ}$, $m\angle B = 74^\circ$ and $m\angle C = 26^{\circ}$. If $x$ and $y$ are the measures of the angles in which they are shown, what is the value of $x + y$? [asy] size(150); draw((0,5)--(0,0)--(15,0)--(15,5),linewidth(1)); draw((0,5)--(2,2)--(5,5)--(12,-2)--(15,5),linewidth(.7)); l...
A
math_Geometry
mathematics
mmlu_aux_train_4486
mmlu_aux_train
What is the correct explanation for why we have day and night on Earth? A. The Sun orbits around the Earth. B. Earth orbits around the Sun. C. Earth turns on its axis. D. The Sun turns on its axis.
C. Earth turns on its axis.
astronomy
physics
aquarat_62080
deepmind/aqua_rat
If 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 Then 12 = ? Hint: Its a logic Riddle not a mathematical riddle
A. 1 B. 2 C. 3 D. 4 E. 5
B. 2
B 2 As stated 2=12 => 12=2 Answer is B
formal_logic
mathematics
allenai/sciq_8258
allenai/sciq
What in science are very important so that we can compare experimental data from one lab to another and make sure we all are talking about the same thing? A. uses measurements B. available measurements C. standard measurements D. Conventional measurements
C. standard measurements
Standardized measurements make it possible for people everywhere to get the same amount of something. Note the red and white labels on the gas pump above. These labels certify that the gas pump has been checked and is pumping an accurate gallon of gas. Standard measurements in science are very important so that we can ...
college_physics
physics
pythonio_672
pythonio-mc
Program: def count_duplic(lists): element = [] frequency = [] if not lists: return element running_count = 1 for i in range(len(lists)-1): if lists[i] == lists[i+1]: running_count += 1 else: frequency.append(running_count) elemen...
A
code
computer_science
mmlu_aux_train_95645
mmlu_aux_train
the sun makes rounds around this planet A. maybe B. this is wrong C. all of these D. this is true
B. this is wrong
astronomy
physics
math_1743
math_mc
Let $S$ be the set of integers $n > 1$ for which $\tfrac1n = 0.d_1d_2d_3d_4\ldots$, an infinite decimal that has the property that $d_i = d_{i+12}$ for all positive integers $i$. Given that $9901$ is prime, how many positive integers are in $S$? (The $d_i$ are digits.)
C
math_Number Theory
mathematics
aquarat_67631
deepmind/aqua_rat
If GAVE is coded as 4657 and BAT is coded as 229. How is GATE coded?
A. 4697 B. 4967 C. 4976 D. 7496 E. 4796
A. 4697
g-4 a-6 e-7 from the code gate t - 9 from bat ANSWER:A
formal_logic
mathematics
math_556
math_mc
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)?
A
math_Counting & Probability
mathematics
aquarat_50139
deepmind/aqua_rat
6x – 5y + 3z = 22 4x + 8y – 11z = 7 5x – 6y + 2z = 12 Given the equations above, x + y + z = ?
A. 10 B. 12 C. 13 D. 14 E. 15
A. 10
(6x – 5y + 3z) - (5x – 6y + 2z ) = 22-12 or, x+y+z = 10 Option A is the ans
college_mathematics
mathematics
aquarat_41333
deepmind/aqua_rat
How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year?
A. 1 B. 2 C. 3 D. 4 E. 5
C. 3
(C) 3 , with 2 we will have exactly 50%, so for more than 50% should be 3.
high_school_statistics
mathematics
math_1009
math_mc
The diagram shows a rectangle that has been dissected into nine non-overlapping squares. Given that the width and the height of the rectangle are relatively prime positive integers, find the perimeter of the rectangle. [asy]draw((0,0)--(69,0)--(69,61)--(0,61)--(0,0));draw((36,0)--(36,36)--(0,36)); draw((36,33)--(69,33)...
C
math_Geometry
mathematics
mmlu_aux_train_92240
mmlu_aux_train
Life in the 2100s will be very different from life today. Between then and now many changes will take place. What will the changes be? The population is growing fast. There will be more people in the world and most of them will live longer than people do now. Computers will be much smaller and more useful, and there wi...
C. more people
high_school_computer_science
computer_science
mmlu_aux_train_98189
mmlu_aux_train
If a patch of land gets six inches of rainfall each month, then that is the amount of the A. storm B. quiet C. gathered moisture D. puddles
C. gathered moisture
high_school_biology
biology
aquarat_54147
deepmind/aqua_rat
Which of the Conclusion is true fof the below statement Statement : D @ M, M $ B, B ☆ R, R % T Conclusion: I. B ☆ D II. B @ D III. T ☆ M
A. Only I is true B. Only II is true C. Only III is true D. Only either I or II is true E. None is true
D. Only either I or II is true
D=M, M>B, B<R, R>T D=M>=B<R>T B @ D True T ☆ M True Option D
formal_logic
mathematics
aquarat_7196
deepmind/aqua_rat
If GAVE is coded as 4657 and RAT is coded as 333. How is GATE coded?
A. 4673 B. 4367 C. 4637 D. 4763 E. 4376
C. 4637
g-4 a-6 e-7 from the code gate t - 3 from bat ANSWER:C
formal_logic
mathematics
allenai/sciq_6191
allenai/sciq
What element once commonly used in paint and gasoline has now been found to have dangerous effects? A. niacin B. chromium C. plastic D. lead
D. lead
lead: An element that was once commonly used in gasoline and paint, is now found to have dangerous effects, such as brain damage. Lead contamination has many harmful effects on the body.
high_school_chemistry
chemistry
math_846
math_mc
Point $P$ is inside equilateral $\triangle ABC$. Points $Q$, $R$, and $S$ are the feet of the perpendiculars from $P$ to $\overline{AB}$, $\overline{BC}$, and $\overline{CA}$, respectively. Given that $PQ=1$, $PR=2$, and $PS=3$, what is $AB$ in terms of radicals?
A
math_Geometry
mathematics
mmlu_aux_train_97347
mmlu_aux_train
A dry bush may burst into flames due to A. raining skies B. wetter air C. higher temps D. faster birds
C. higher temps
high_school_physics
physics
math_1206
math_mc
Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \ne 1.$ Let $\alpha = \omega + \omega^2 + \omega^4$ and $\beta = \omega^3 + \omega^5 + \omega^6.$ Then $\alpha$ and $\beta$ satisfy the quadratic \[x^2 + ax + b = 0\]for some real numbers $a$ and $b.$ Enter the ordered pair $(a,b).$
A
math_Intermediate Algebra
mathematics
math_1260
math_mc
Find the minimum of the function \[\frac{xy}{x^2 + y^2}\]in the domain $\frac{2}{5} \le x \le \frac{1}{2}$ and $\frac{1}{3} \le y \le \frac{3}{8}.$
A
math_Intermediate Algebra
mathematics
math_1768
math_mc
A palindrome is a number that reads the same forward and backward. What is the smallest 5-digit palindrome in base 2 that can be expressed as a 3-digit palindrome in a different base? Give your response in base 2.
D
math_Number Theory
mathematics
aquarat_95727
deepmind/aqua_rat
If f(x) = ax^5 – 3x^2 + ax^2 – x, then f(b) – f(-b) will equal:
A. 0 B. 2ab C. 2ab^4 – 6 D. 2ab^5-2b E. ab^5
D. 2ab^5-2b
f(x)=ax^5 – 3x^2 + ax^2 – x f(b) = ab^5 – 3b^2 + ab^2 – b f(-b) = -ab^5 – 3b^2 + ab^2 + b f(b) - f(-b) = ab^5 – 3b^2 + ab^2 – b + ab^5 + 3b^2 - ab^2 – b =2ab^5-2b Answer D
college_mathematics
mathematics
allenai/sciq_5539
allenai/sciq
Convection generally involves the transfer of what type of energy? A. thermal B. radioactive C. sunlight D. magnetic
A. thermal
Convection currents transfer thermal energy through many fluids, not just hot water in a pot. For example, convection currents transfer thermal energy through molten rock below Earth’s surface, through water in the oceans, and through air in the atmosphere. Convection currents in the atmosphere create winds. You can se...
conceptual_physics
physics
math_1071
math_mc
A tetrahedron with four equilateral triangular faces has a sphere inscribed within it and a sphere circumscribed about it. For each of the four faces, there is a sphere tangent externally to the face at its center and to the circumscribed sphere. A point $P$ is selected at random inside the circumscribed sphere. The pr...
D
math_Geometry
mathematics
allenai/sciq_4125
allenai/sciq
What is the most electron-pair bonds a nitrogen atom can participate in? A. four B. three C. seven D. five
A. four
Reactions and Compounds of Nitrogen Like carbon, nitrogen has four valence orbitals (one 2s and three 2p), so it can participate in at most four electron-pair bonds by using sp3 hybrid orbitals. Unlike carbon, however, nitrogen does not form long chains because of repulsive interactions between lone pairs of electrons ...
high_school_chemistry
chemistry
math_2213
math_mc
Let $P$ be the plane passing through the origin with normal vector $\begin{pmatrix} 1 \\ -2 \\ 1 \end{pmatrix}.$ Find the matrix $\mathbf{P}$ such that for any vector $\mathbf{v},$ $\mathbf{P} \mathbf{v}$ is the projection of $\mathbf{v}$ onto plane $P.$
A
math_Precalculus
mathematics
allenai/sciq_2240
allenai/sciq
What are ocean waves mainly caused by? A. gravity B. humidity C. tides D. wind
D. wind
Ocean waves are energy traveling through water. They are caused mainly by wind blowing over the water.
conceptual_physics
physics
mmlu_aux_train_92245
mmlu_aux_train
There has never been a better time than now to buy a new piece of technology, such as a computer. Technology usually starts out at a high price, but as time goes by it goes down in price. Now I've found that many new products are at good prices from the st art.There is no question about it This is a buyers' market for...
C. Safe Internet.
college_computer_science
computer_science
NLP4Education_655
NLP4Education
Which of the following primitives cannot be instantiated with a cryptographic hash function? A. A key-derivation function. B. A pseudo-random number generator. C. A public key encryption scheme. D. A commitment scheme.
C. A public key encryption scheme.
computer_security
computer_science
NLP4Education_650
NLP4Education
Tick the \emph{incorrect} statement. When $x\rightarrow+\infty$ \ldots A. $x^3 + 2x + 5 = \mathcal{O}(x^3)$. B. $\frac{1}{x^2} = \mathcal{O}\left(\frac{1}{x}\right)$. C. $2^{\frac{x}{\log x}} = \mathcal{O}(2^x)$. D. $n^x = \mathcal{O}(x^n)$ for any constant $n>1$.
D. $n^x = \mathcal{O}(x^n)$ for any constant $n>1$.
college_mathematics
mathematics
aquarat_58481
deepmind/aqua_rat
For a certain exam,a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean.What was the mean score for the exam?
A. 74 B. 76 C. 78 D. 80 E. 82
B. 76
Mean-2SD=60 Mean+3SD=100 by solving above we get, SD (absolute value)=8 Mean=76 Ans. B
high_school_statistics
mathematics
aquarat_92186
deepmind/aqua_rat
There is a 30% chance that Tigers will not win at all during the whole season. There is a 30% chance that Portugeese will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Portugeese will play during the season?
A. 55% B. 60% C. 70% D. 72% E. 80%
C. 70%
There is a 30% chance that Tigers will not win at all during the whole season We can infer that there is 70% chance Tigers will win . Similarly There is a 30% chance that Portugeese will not play at all in the whole season We can also infer that there is 70% chance that Portugeese will play. Answer C
high_school_statistics
mathematics
mmlu_aux_train_7947
mmlu_aux_train
Many people think of guys as being carefree when it comes to their appearance. But in fact, a lot of guys spend plenty of time in front of the mirror. 86 . Body image is a person's opinions and feelings about his or her own body and physical appearance. 87 . You appreciate your body for its capabilities...
C. They care just as much as girls do about their body image.
high_school_biology
biology
math_2210
math_mc
Let $z = \cos \frac{4 \pi}{7} + i \sin \frac{4 \pi}{7}.$ Compute \[\frac{z}{1 + z^2} + \frac{z^2}{1 + z^4} + \frac{z^3}{1 + z^6}.\]
A
math_Precalculus
mathematics
NLP4Education_704
NLP4Education
Which of the following statements about coverage-guided fuzzing is/are correct? A. Redundant seeds in the corpus will reduce fuzzing efficiency. B. Fuzzers that have higher code coverage always find more bugs. C. Counting the number of times the covered code has been executed provides a less detailed view of program be...
A. Redundant seeds in the corpus will reduce fuzzing efficiency.
computer_security
computer_science
math_348
math_mc
Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was $\$$30.00, how many 30-cent items did she purchase?
A
math_Algebra
mathematics
aquarat_29786
deepmind/aqua_rat
If n is an integer, then which of the following statements is/are FALSE? I)n^3 – n is always even. II)8n^3 +12n^2 +6n +1 is always even. III)√ (4n^2 – 4n +1) is always odd.
A. I only B. II only C. I and II only D. II and III only E. I, II and III
B. II only
1) n^3 – n n^2(n-1) two cases if n=odd then n-1 is even thus n^2(n-1) is even if n=even then n^2 is even thus n^2(n-1) is even------>true for all cases 2) 8n^3 +12n^2 +6n +1 8n^3 +12n^2 +6n=Even but Even +1 =odd------------>Always False 3) for this i tried picking number upto 15 and find all cases True------>True Howev...
college_mathematics
mathematics
mmlu_aux_train_93383
mmlu_aux_train
A fever is a response to a disease-causing agent infecting the body. Raising one's body temperature changes the shape of enzymes in the agent so it cannot reproduce. Which statement best describes a fever? A. A fever is an internal response to an external stimulus. B. A fever is an internal response to an internal sti...
B. A fever is an internal response to an internal stimulus.
high_school_biology
biology
aquarat_474
deepmind/aqua_rat
7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If th...
A. Four B. Five C. Nine D. Ten E. Eleven
B. Five
Mean = 8.5 Standard Deviation = 0.2 within 1.5 standard deviation of the mean i.e. 1.5 standard deviation ABOVE the mean = 8.5+1.5*0.2 = 8.8 and 1.5 standard deviation BELOW the mean = 8.5-1.5*0.2 = 8.2 hence, 5 values fall within 1.5 SD from Mean Answer: Option B
high_school_statistics
mathematics
math_2177
math_mc
The sum\[\sum_{x=2}^{44} 2\sin{x}\sin{1}[1 + \sec (x-1) \sec (x+1)]\]can be written in the form $\sum_{n=1}^{4} (-1)^n \frac{\Phi(\theta_n)}{\Psi(\theta_n)}$, where $\Phi,\, \Psi$ are trigonometric functions and $\theta_1,\, \theta_2, \, \theta_3, \, \theta_4$ are degrees $\in [0,45]$. Find $\theta_1 + \theta_2 + \thet...
D
math_Precalculus
mathematics
math_771
math_mc
Let $ABCD$ be an isosceles trapezoid with bases $AB=92$ and $CD=19$. Suppose $AD=BC=x$ and a circle with center on $\overline{AB}$ is tangent to segments $\overline{AD}$ and $\overline{BC}$. If $m$ is the smallest possible value of $x$, then $m^2$= $\text{(A) } 1369\quad \text{(B) } 1679\quad \text{(C) } 1748\quad \tex...
D
math_Geometry
mathematics
mmlu_aux_train_8707
mmlu_aux_train
Even before they start school, many young girls worry that they are fat. But a new study suggests watching a movie starring astereotypically thin and beautiful princess may not increase children's anxieties. Nearly half of the 3 to 6 year old girls in a study by Professor Stacey Tantleff-Dunn and doctoral student Sharo...
A. have diet trouble in the future
high_school_biology
biology
mmlu_aux_train_47558
mmlu_aux_train
Like a scene out of a reality show or a Disney movie, Southgate, Mich., teenager Ashley Qualls' moment has arrived. She may not have an MBA, a high-school diploma, or even a driver's license yet, but Asheley Qualls already has an influential website (www. Whateverlife.Com). The 17-year-old girl hass been building her o...
D. the world cyberspace develops fast and uncontrollable
college_computer_science
computer_science
math_1343
math_mc
Consider the largest solution to the equation \[\log_{10x^2} 10 + \log_{100x^3} 10 = -2.\]Find the value of $\frac{1}{x^{12}},$ writing your answer in decimal representation.
B
math_Intermediate Algebra
mathematics
math_521
math_mc
Robert has 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has an engraving of one face on one side, but not on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable arrangeme...
A
math_Counting & Probability
mathematics
aquarat_13721
deepmind/aqua_rat
What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9} for which the sum of those 7 elements is a multiple of 3 ?
A. 10 B. 11 C. 12 number D. 13 E. 14
C. 12 number
We describe 2 solutions. Let S = {1, 2, . . . , 9}. Observe that the sum of the elements of S is divisible by 3. So the problem is the same as asking for the number of ways that 2 elements of S can be chosen so that their sum is divisible by 3 (the other 7 elements of S correspond to a 7-element set as in the problem)....
college_mathematics
mathematics
mmlu_aux_train_13726
mmlu_aux_train
No one is glad to hear that his body has to be cut open by a surgeon and part of it taken out. Today, however, we needn't worry about feeling pain during the operation. The sick person falls into a kind of sleep, and when he awakes, the operation is finished. But these happy conditions are fairly new. It is not many y...
B. not long
high_school_biology
biology
math_46
math_mc
What is the range of the function $$G(x) = |x+1|-|x-1|~?$$Express your answer in interval notation.
D
math_Algebra
mathematics
mmlu_aux_train_2717
mmlu_aux_train
A teacher builds a model of a hydrogen atom. A red golf ball is used for a proton, and a green golf ball is used for an electron. Which is not accurate concerning the model? A. number of particles B. relative mass of particles C. types of particles present D. charges of particles present
B. relative mass of particles
high_school_physics
physics
mmlu_aux_train_95014
mmlu_aux_train
When a bird is living in a certain segment of the world, it can become part of that environment along with predators and food sources, the process being called what? A. animals reproduce B. preyed upon C. adapted to it D. predators get it
C. adapted to it
high_school_biology
biology
mmlu_aux_train_60312
mmlu_aux_train
This is a dangerous world we live in.The number of murders goes up every year, people are dying of cancer, more people contract HIV, more teens are using drugs, etc.You know this because you have heard all the statistics on the news and in the paper. But do you really have an accurate idea what they mean? The numbers a...
C. the author is trying to show what he or she says is true.
high_school_statistics
mathematics
allenai/sciq_10259
allenai/sciq
What is considered the center of the solar system? A. nebulla B. sun C. heat D. earth
B. sun
Today we know that we have eight planets, five dwarf planets, over 165 moons, and many, many asteroids and other small objects in our solar system. We also know that the Sun is not the center of the universe. But it is the center of the solar system.
astronomy
physics
pythonio_248
pythonio-mc
Program: def remove_kth_element(list1, L): return list1[:L-1] + list1[L:] Input: remove_kth_element([10, 10, 15, 19, 18, 18, 17, 26, 26, 17, 18, 10],5) Output:
C
code
computer_science
allenai/sciq_10668
allenai/sciq
The as yet undiscovered grand unified theory is a search to unify laws of what branch of science? A. chemistry B. genetics C. physics D. masses
C. physics
Over 2500 years ago Aristotle proposed two laws of physics governing motion. One for ‘Earthly bodies’ (objects on Earth) that states objects naturally go in straight lines and one for ‘Heavenly bodies’ (objects in space) that states objects naturally go in circles. This idea held steady for 2,000 years until Isaac Newt...
college_physics
physics
math_855
math_mc
A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of the circle. What is the ratio of the area of the square to the area of the circle? Express your answer as a common fraction in terms of $\pi$.
C
math_Geometry
mathematics
allenai/sciq_351
allenai/sciq
What material comprises the sun and other stars, as well as lightning and the northern lights? A. plasma B. aurora C. gamma D. gas
A. plasma
The sun and other stars consist of plasma. Plasma is also found naturally in lightning and the northern and southern lights. Human-made plasma is found in fluorescent lights, plasma TV screens, and plasma spheres.
college_physics
physics
allenai/sciq_6553
allenai/sciq
What is the study of matter and energy referred to as? A. physical science B. geology C. cosmology D. biology
A. physical science
Physical science is the study of matter and energy. It includes chemistry, which focuses on matter, and physics, which focuses on energy.
conceptual_physics
physics
aquarat_25002
deepmind/aqua_rat
All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Who is the mother of B ?
A. C B. V C. R D. A E. T
D. A
Explanation: B is the son of C but C is not the mother of B means C is the father of B. A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C Clearly. A is the mother of B. Answer: D
formal_logic
mathematics
mmlu_aux_train_98398
mmlu_aux_train
After the moon phase where you can see nothing of the moon, what comes next? A. the full moon B. the last quarter C. the first quarter D. the half moon
C. the first quarter
astronomy
physics
mmlu_aux_train_16247
mmlu_aux_train
Sometimes ideas do not appear when you are concentrating your attention and mysteriously appear when you are not. Modern science recognizes this as a result of incubating the problem in your subconscious , yet can't account for why it occurs. When you quit thinking about a subject and decide to forget it, your subcons...
B. is still working
conceptual_physics
physics
allenai/sciq_6330
allenai/sciq
What mineral is used to produce glass? A. lead B. quartz C. pyrite D. feldspar
B. quartz
Silver is used to make sterling silver jewelry. Table salt is the mineral halite. Glass is produced from the mineral quartz.
high_school_chemistry
chemistry
allenai/sciq_7410
allenai/sciq
The negatively charged electrons are attracted to the positively charged what? A. nucleus B. atom C. axon D. ion
A. nucleus
high_school_physics
physics
allenai/sciq_1006
allenai/sciq
What organ creates bile? A. kidney B. heart C. liver D. pancreas
C. liver
The liver is an organ of both digestion and excretion. It produces a fluid called bile , which is secreted into the duodenum. Some bile also goes to the gall bladder , a sac-like organ that stores and concentrates bile and then secretes it into the small intestine. In the duodenum, bile breaks up large globules of lipi...
high_school_biology
biology
aquarat_95466
deepmind/aqua_rat
Set X is composed of nine numbers, labeled X1 through X9. Set Y is also composed of nine numbers, labeled Y1 through Y9. Set Y is defined as follows: Y1 = 1 + X1; Y2 = 2 + X2; and so on, including Y9 = 9 + X9. How much larger is the sum of set Y's mean and range than the sum of set X's mean and range?
A. cannot be determined B. 4 C. 9 D. 5 E. 12
A. cannot be determined
Yes, the correct answer is A
college_mathematics
mathematics
math_1195
math_mc
In the coordinate plane, consider points $A = (0, 0)$, $B = (11, 0)$, and $C = (18, 0)$. Line $\ell_A$ has slope 1 and passes through $A$. Line $\ell_B$ is vertical and passes through $B$. Line $\ell_C$ has slope $-1$ and passes through $C$. The three lines $\ell_A$, $\ell_B$, and $\ell_C$ begin rotating clockwise ...
B
math_Intermediate Algebra
mathematics
mmlu_aux_train_94655
mmlu_aux_train
When studying planetary data, Jackie found some similarities and differences among the planets that make up the solar system. Which generalization is true about the orbits of the major planets in the solar system? A. Planetary orbits have the same plane. B. Planetary orbits are mostly elliptical in shape. C. Planets o...
B. Planetary orbits are mostly elliptical in shape.
astronomy
physics
math_149
math_mc
The graphs of a function $f(x)=3x+b$ and its inverse function $f^{-1}(x)$ intersect at the point $(-3,a)$. Given that $b$ and $a$ are both integers, what is the value of $a$?
B
math_Algebra
mathematics
math_969
math_mc
Rectangle $ABCD$ and a semicircle with diameter $AB$ are coplanar and have nonoverlapping interiors. Let $\mathcal{R}$ denote the region enclosed by the semicircle and the rectangle. Line $\ell$ meets the semicircle, segment $AB$, and segment $CD$ at distinct points $N$, $U$, and $T$, respectively. Line $\ell$ divides ...
B
math_Geometry
mathematics
mmlu_aux_train_48308
mmlu_aux_train
Researchers at Stanford University have developed a new material that can move heat out of buildings and into space. The researchers say the material can cool buildings even on hot days. The cooling material is a very thin sheet with many layers that could be placed on a roof like solar panels . However, instead of tur...
C. It sends heat away right into space.
electrical_engineering
engineering
math_1251
math_mc
Let $x$ and $y$ be real numbers, $y > x > 0,$ such that \[\frac{x}{y} + \frac{y}{x} = 6.\]Find the value of \[\frac{x + y}{x - y}.\]
B
math_Intermediate Algebra
mathematics
math_79
math_mc
Suppose that $f(x)=\frac{1}{2x+b}$. For what value of $b$ does $f^{-1}(x)=\frac{1-2x}{2x}$?
B
math_Algebra
mathematics
mmlu_aux_train_44939
mmlu_aux_train
What Will Be Done-With All This Denim? All the denim will be donated to Cotton From Blue to Green, which recycles jeans into UltraTouch Natural Cotton Fiber Insulation , which is used to help build houses in places that have been damaged by hurricanes and other natural disasters. Your jeans will help keep clothes ou...
D. can be of any size or color
environmental_science
earth_science
mmlu_aux_train_97698
mmlu_aux_train
If steam chills then the vapor will A. burn B. melt C. boil D. thicken
D. thicken
high_school_physics
physics
allenai/sciq_9171
allenai/sciq
Platforms, arches, and sea stacks are all landforms created by what? A. debris B. erosion C. volcanic activity D. sediment
B. erosion
Some landforms created by erosion are platforms, arches, and sea stacks.
college_geology
earth_science
aquarat_94542
deepmind/aqua_rat
If n is an integer, f(n) = f(n-1) - n and f(4)=20. What is the value of f(6)?
A. 9 B. 0 C. 1 D. 2 E. 4
A. 9
Since f(n)=f(n-1)-n then: f(6)=f(5)-6 and f(5)=f(4)-5. As given that f(4)=20 then f(5)=20-5=15 --> substitute the value of f(5) back into the first equation: f(6)=f(5)-6=15-6=9. Answer: A. Questions on funtions to practice:
college_mathematics
mathematics
allenai/sciq_8518
allenai/sciq
A mixture of a metal with one or more other elements is called? A. an alloy B. a hydrogen C. a carbon D. a cobalt
A. an alloy
Steel is an example of an alloy. An alloy is a mixture of a metal with one or more other elements. The other elements may be metals, nonmetals, or both. An alloy is a solid solution. It is formed by melting a metal and dissolving the other elements in it. The molten solution is then allowed to cool and harden. Several ...
high_school_chemistry
chemistry
allenai/sciq_4285
allenai/sciq
While in the lungs, blood gives up carbon dioxide and picks up what element before returning to the heart? A. hydrogen B. methane C. nitrogen D. oxygen
D. oxygen
Pulmonary circulation is the part of the circulatory system that carries blood between the heart and lungs (the term pulmonary means “of the lungs”). It is illustrated in Figure below . Deoxygenated blood leaves the right ventricle through pulmonary arteries, which transport it to the lungs. In the lungs, the blood giv...
high_school_biology
biology
mmlu_aux_train_92687
mmlu_aux_train
When plants undergo photosynthesis, a reaction produces sugar, oxygen, and water. During respiration, stored energy from the products of photosynthesis is converted to usable energy. In what form is the energy stored prior to use in respiration? A. chemical energy B. kinetic energy C. light energy D. heat energy
A. chemical energy
high_school_biology
biology
allenai/sciq_2837
allenai/sciq
What type of bond forms by unpaired electrons from two atoms "matching up"? A. magnetic bond B. covalent bond C. reactive bond D. accretion bond
B. covalent bond
You have learned that a covalent bond forms when the electron clouds of two atoms overlap with each other. In a simple H 2 molecule, the single electron in each atom becomes attracted to the nucleus of the other atom in the molecule as the atoms come closer together. An optimum distance, equal to the bond length, is ev...
high_school_chemistry
chemistry
pythonio_941
pythonio-mc
Program: def sum_Natural(n): sum = (n * (n + 1)) return int(sum) def sum_Even(l,r): return (sum_Natural(int(r / 2)) - sum_Natural(int((l - 1) / 2))) Input: sum_Even(2,5) Output:
C
code
computer_science
mmlu_aux_train_95800
mmlu_aux_train
The water treatment plant boiled all the water that came to them for what reason? A. add oxygen B. add health benefits C. to eliminate substances D. mix the water
C. to eliminate substances
high_school_chemistry
chemistry
allenai/sciq_4764
allenai/sciq
What type of work called occurs when a system pushes back the surroundings against a restraining pressure? A. retention work B. shape work C. expansion work D. contrast work
C. expansion work
A type of work called expansion work (or pressure-volume work) occurs when a system pushes back the surroundings against a restraining pressure, or when the surroundings compress the system. An example of this occurs during the operation of an internal combustion engine. The reaction of gasoline and oxygen is exothermi...
college_chemistry
chemistry
mmlu_aux_train_93920
mmlu_aux_train
When the lighted half of the Moon faces the Sun and the dark half faces Earth, the phase of the Moon viewed from Earth is called the A. full moon. B. new moon. C. waxing moon. D. waning moon.
B. new moon.
astronomy
physics
pythonio_528
pythonio-mc
Program: def tuple_to_dict(test_tup): res = dict(test_tup[idx : idx + 2] for idx in range(0, len(test_tup), 2)) return (res) Input: tuple_to_dict((1, 5, 7, 10, 13, 5)) Output:
D
code
computer_science
NLP4Education_458
NLP4Education
Enigma A. was a predecessor of a Turing machine model - a basis of Von Neumann architecture B. achieves perfect security as was required due to military application C. follows the Kerkhoffs principle D. has approximately $2^{256}$ possible keys
C. follows the Kerkhoffs principle
computer_security
computer_science
aquarat_55085
deepmind/aqua_rat
If the mean of a data set is 75 and the standard deviation is 10, what is the range of scores that fall within one standard deviation of the mean?
A. 65, 80} B. 65, 90} C. 65, 70} D. 65, 80} E. 65, 85}
E. 65, 85}
score ranges between 85 and 65, where 85 is within one Standard deviation above the mean and 65 is within one standard deviation below the mean Answer is E
high_school_statistics
mathematics
allenai/sciq_3818
allenai/sciq
What is mass number? A. to total number of protons and electrons in a nucleus B. to total number of electrons and neutrons in a nucleus C. the total number of protons and neutrons in a nucleus D. the total number of protons and chondrichthyes in a nucleus
C. the total number of protons and neutrons in a nucleus
All oxygen atoms have eight protons, and most have eight neutrons as well. What is the mass number of an oxygen isotope that has nine neutrons? What is the name of this isotope?.
high_school_chemistry
chemistry
mmlu_aux_train_12708
mmlu_aux_train
If the hackings taught us anything in 2014, it's actually nothing. Password management firm SplashData released its list of the worst passwords of the year and it's just as terrible as you'd think. The most common leaked password in 2014 was "123456," followed by "password" -- both topped the list the year before, to...
C. 123456 was the most common leaked password in both 2013 and 2014.
computer_security
computer_science
pythonio_120
pythonio-mc
Program: def find_Odd_Pair(A,N) : oddPair = 0 for i in range(0,N) : for j in range(i+1,N) : if ((A[i] ^ A[j]) % 2 != 0): oddPair+=1 return oddPair Input: find_Odd_Pair([5,4,7,2,1],5) Output:
C
code
computer_science
mmlu_aux_train_81807
mmlu_aux_train
Mrs. White comes from America. She is an English teacher in No. 12 High School of Guangzhou. She speaks Chinese a little and often has Chinese classes. She likes here very much. She often says the Chinese people are very nice. She is Lucy and Lily's mom. Lucy and Lily live in America with their dad, Mr. White. They are...
C. America.
high_school_computer_science
computer_science
allenai/sciq_5518
allenai/sciq
Sodium-potassium pumps help nerve cells establish a voltage across their what? A. cell walls B. plasma membranes C. potassium membranes D. sodium membranes
B. plasma membranes
college_biology
biology
math_1620
math_mc
Let $n=2^{31}3^{19}.$ How many positive integer divisors of $n^2$ are less than $n$ but do not divide $n$?
D
math_Number Theory
mathematics
NLP4Education_315
NLP4Education
Which statement is true for the Mean Squared Error (MSE) loss MSE( $\mathbf{x}, y):=\left(f_{\mathbf{w}}(\mathbf{x})-y\right)^{2}$, with $f_{\mathrm{w}}$ a model parametrized by the weights $\mathbf{w}$? A. MSE is always convex with respect to the model weights $\mathbf{w}$, regardless of the model architecture. B. MSE...
B. MSE is not necessarily convex with respect to the weights of the model $\mathbf{w}$.
machine_learning
computer_science
aquarat_59382
deepmind/aqua_rat
The following operations are defined for real numbers. a # b = a + b, if a and b both are positive else a # b = 1. a ∇ b = ( a x b)a+b if a x b is positive else a ∇ b = 1. (2 # 1 ) / (1 ∇ 2) =
A. 1/8 B. 1 C. 3/8 D. 3 E. 7
C. 3/8
Explanation : Here, a and b both are positive numbers. Hence, the required value is (2 + 1) / 23 i.e 3 / 8. Answer : C
college_mathematics
mathematics
math_1198
math_mc
Compute the length of the segment tangent from the origin to the circle that passes through the points $(3,4),$ $(6,8),$ and $(5,13).$
D
math_Intermediate Algebra
mathematics
mmlu_aux_train_92899
mmlu_aux_train
What happens at the boiling point of a substance? A. liquid becomes a gas B. solid becomes a gas C. liquid becomes a solid D. solid becomes a liquid
A. liquid becomes a gas
high_school_chemistry
chemistry