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Question: Find number which is 50% less than 60.
Choices:
A. 18
B. 30
C. 32
D. 26
E. 98
Let's think step by step | Explanation:
50% less is 50% of the given number
Therefore, 50% of 60 is 30.
ANSWER: B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The epochs of the universe are known back to very shortly after what 'explosive' event?
Choices:
A. Biggest bang
B. big bang
C. major bang
D. Explosive bang
Let's think step by step. | H0 = 20km/s ⋅ Mly. • Explanations of the large-scale characteristics of the universe are intimately tied to particle physics. • The dominance of matter over antimatter and the smoothness of the CMBR are two characteristics that are tied to particle physics. • The epochs of the universe are known back to very shortly af... | https://huggingface.co/datasets/allenai/sciq |
Question: Embryos usually don't survive if they have extra or too few of these genetic units?
Choices:
A. phenotypes
B. chromosomes
C. genes
D. ribosomes
Let's think step by step. | Outside of chromosome 21 and the sex chromosomes, most embryos with extra chromosomes do not usually survive. Because chromosomes carry many, many genes, a disruption of a chromosome can cause severe problems with the development of a fetus. Individuals with one (or more) fewer chromosome usually don't survive either. ... | https://huggingface.co/datasets/allenai/sciq |
Question: If 20% of a = b, then b% of 20 is the same as :
Choices:
A. 4% of a
B. 8% of a
C. 12% of a
D. 9% of a
E. 1% of a
Let's think step by step | 20% of a = b
b% of 20 = = = = 4% of a.
Answer: a | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choices:
A. 5/5
B. 5/9
C. 5/3
D. 5/2
E. 5/1
Let's think step by step | No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 12... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: How many different positive integers exist between 10^5 and 10^6, the sum of whose digits is equal to 2?
Choices:
A. 6
B. 7
C. 5
D. 8
E. 18
Let's think step by step | So, the numbers should be from 100,000 to 1,000,000
The following two cases are possible for the sum of the digits to be 2:
1. Two 1's and the rest are 0's:
100,001
100,010
100,100
101,000
110,000
5numbers.
2. One 2 and the rest are 0's:
200,000
1 number.
Total = 6 numbers.
Answer: A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A bat is bought for Rs.400 and sold at a gain of 25% find its selling price?
Choices:
A. s.460/-
B. s.480/-
C. s.500/-
D. s.520/-
E. s.540/-
Let's think step by step | 100 % ------> 400 (100 * 4 = 400)
120 % ------> 500 (125 * 4 = 500)
Selling price = Rs.500/-
Option 'C' | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A man has Rs. 512 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
A. 90
B. 94
C. 96
D. 97
E. 99
Let's think step by step | Let number of notes of each denomination be x.
Then x + 5x + 10x = 512
16x = 512
x = 32.
Hence, total number of notes = 3x = 96.
C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What occurs as a result of the discharge of static electricity?
Choices:
A. clouds
B. thunder
C. lightning
D. drought
Let's think step by step. | Zachary Wilson. Lightning is the result of the discharge of static electricity . CC BY-NC 3.0. Therefore the final answer is C | https://huggingface.co/datasets/allenai/sciq |
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many g... | 5N +2 = 2 + 6(N-1)
Solving N= 6
Hence C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability X that out of the two, one is white and one is blue?
Choices:
A. 15/56
B. 41/56
C. 13/28
D. 15/28
E. 5/14
Let's think step by step | The required probability X= probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.
Ways to select 6 out of total 8 = 8C6
Ways to select 4 out of 5 white balls = 5C4
Ways to select 2 out of 3 blue balls = 3C2
Thus the required probability = (5C4*3C2)/8... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Find the remainder when 2^31 is divided by 5.
Choices:
A. 3
B. 7
C. 1
D. 9
E. None of them
Let's think step by step | 2^10 = 1024. Unit digit of 2^10 x 2^10 x 2^10 is 4 [as 4 x 4 x 4 gives unit digit 4].
Unit digit of 231 is 8.
Now, 8 when divided by 5, gives 3 as remainder.
Hence, 231 when divided by 5, gives 3 as remainder.
Answer is A. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What are the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?
Choices:
A. 227
B. 814
C. 168
D. 686
E. 218
Let's think step by step | In this type of questions, first we need to calculate the area of tiles. With we can get by obtaining the length of largest tile.
Length of largest tile can be obtained from HCF of length and breadth.
So lets solve this,
Length of largest tile = HCF of (1517 cm and 902 cm)
= 41 cm
Required number of tiles =
Area of flo... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?
Choices:
A. 0.2
B. 0.3
C. 0.5
D. 0.7
E. 0.4
Let's think step by step | color frequency
red 3
green 7
white 10
Let P(E) be the event of getting white marble
P(E) = Frequency for white color / Total frequencies in the above table
= 10 / (3+7+10)
= 10 / 20
= 0.5
My answer is (C) | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If a certain sample of data has a mean of 24.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
A. 12.0
B. 13.5
C. 17.0
D. 23.5
E. 26.5
Let's think step by step | Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5*SD=7.5. So the value must be either less than 24-7.5=16.5or more than 24+7.5=31.5.
Answer: C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
A. 2.86
B. 2.88
C. 2.80
D. 2.87
E. 2.82
Let's think step by step | M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer: B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around... | As I see it : 7 members, and Michael & Bobby sit together. So treat those two like a single person. Now you have to arrange 6 people around a table. This may be done in 5! or 120 ways
The number of ways to arrange Michael & Bobby is 2 (MB or BM).
So net there are 240 ways or B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Choices:
A. 2347
B. 1277
C. 2288
D. 1250
E. 7178
Let's think step by step | Explanation:
speed = (5x5/18)m/sec
= 25/18 m/sec.
Distance covered in 15 minutes = (25/18 x 15 x 60)m
= 1250 m.
Answer: D) 1250 | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: a pole rests against a wall, and the tip of the pole is at a height of 8m. after sometime the pole slips back by 4m and falls on the ground.what is the length of the pole?
Choices:
A. 10
B. 12
C. 15
D. 18
E. 20
Let's think step by step | let the distance from of the ladder from the pole be x meter. A/c to Pythagoras th., ladder= root_under( x^2 + 64).
In the second case, when the ladder moves 4 m , i.e distance from the pole = x+4, it touches the ground, means the length of ladder = x+4.
Now, equating the both lengths we get x=6, length = x+4 =10
ANSWE... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have ev... | 1+2+3+4+5+6+7+8 = 36
so, 8 spots are occupied by users
23-8 = 15,
ANSWER:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 35% but the selling price
remains constant, approximately what percentage of the selling price is the profit
Choices:
A. 68%
B. 80%
C. 90%
D. 100%
E. None of above
Let's think step by step | Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 135% of Rs. 100 = Rs. 135
New S.P. = Rs. 420.
Profit = Rs. (420 - 135) = Rs. 285
Required percentage = (285/420) * 100
= 68%(approx)
Answer: A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Choices:
A. 1108
B. 1683
C. 2000
D. 3300
E. 4000
Let's think step by step | LCM of 5,6,7 and 8 = 840
hence => (840*1)+3 = 843 which is not divisible by 9
if k = 2, no = (840*2)+3=1683 is divisble by 9
ANSWER B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What is the unit digit in 4^100?
Choices:
A. 0
B. 1
C. 6
D. 3
E. 5
Let's think step by step | Unit digit in 4^100 = unit digit in [(4^4)^25 ]
But unit digit in 4^4=6
unit digit 4^100= 6
Answer is C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Amy has two decks of 50 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what... | Your solution is correct answer should be 1/9.
C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What is the rate percent when the simple interest on Rs.720 amount to Rs.180 in 4 Years?
Choices:
A. 6.25
B. 7.25
C. 8.25
D. 9.25
E. 10.25
Let's think step by step | 180 = (720*4*R)/100
R = 6.25%
Answer: A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
Cho... | sax Ratio of wages of 20 men, 30 women
and 45 chfldren perweek
: (3 x 2o):(2 x 30) (1 x 43) 5
Total wages or 20 men per week
= R5 300
Therefore, wages of a man per week : Rs 15,
sirmlarly, wages of woman per week
: Rs 10 and wages ofchwld perweek Rs 5
Total wages of (15 men, 21 women and 30
chfldrenj perweek
= 15x15 + 21... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?
Choices:
A. 17.2
B. 18.2
C. 19.2
D. 15.2
E. 16.2
Let's think step by step | 29.94/ 1.45 = 299.4/14.5
= (2994/14.5) x 1/10) [ Here, Substitute 172 in the place of 2994/14.5 ]
= 172/10
= 17.2
Answer is A. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their invest... | Say Arthur's fortune was $100. Then:
A = 20*1.5*1.3 = 39
B = 20*1.5*1.3 = 39
C = 20*1.5*0.4 = 12
D = 20*0.6*1.25 = 15
E = 0
Total 39 + 39 + 12 + 15 = 105.
Answer: D. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Reema took a loan of Rs 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest.
Choices:
A. 5%
B. 6%
C. 7%
D. 8%
E. 9%
Let's think step by step | Explanation:
Let rate = R% then Time = R years.
=>1200∗R∗R /100=432
=>R2=36
=>R=6%
Option B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: P alone can complete a job in 5 days. The work done by Q alone in one day is equal to one-fourth of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
A. 2.5
B. 3.0
C. 3.5
D. 4.0
E. 4.5
Let's think step by step | P's rate is 1/5
Q's rate is 1/20
The combined rate is 1/5 + 1/20 = 1/4
If they work together, the job will take 4 days.
The answer is D. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Coal, oil and natural gas are types of what formed from the remains of once living organisms?
Choices:
A. fossil compounds
B. crop fuels
C. living fossils
D. fossil fuels
Let's think step by step. | Coal, oil and natural gas are all fossil fuels formed from the remains of once living organisms. Therefore the final answer is D | https://huggingface.co/datasets/allenai/sciq |
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 100 visitors who did not enjoy the paintin... | If we exclude those cases and take the question at face value, then it seems straightforward.
Group #1 = (didn't like, didn't understand) = 100
Group #2 = (likeunderstood) = 3/4
(1/4)N = 100
N = 400
Answer =(E) | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 2 or 19?
Choices:
A. 17/30
B. 2/5
C. 7/15
D. 8/15
E. 11/30
Let's think step by step | Number of Multiples of 2 from 1 through 30 = 30/2 = 15
Number of Multiples of 19 from 1 through 30 = 30/19 = 1
Number of Multiples of 2 and 19 both from 1 through 30 = Number of Multiples of 19*2(=38) = 0
Total favourable cases = 15 + 1- 0 = 16
Probability = 16 / 30 = 8/15
Answer: option D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand K nor Brand B soap, 60 used only Brand K soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Choices:
A. 15
B. 20
C. 30
D.... | SOLUTION FOR SOAP K AND SOAP B
(D) 40 | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What topographic feature does a circle with inward hatches represent on a contour map?
Choices:
A. vegetation
B. a mountain
C. a depression
D. a lake
Let's think step by step. | On a contour map, a circle with inward hatches indicates a depression. Therefore the final answer is C | https://huggingface.co/datasets/allenai/sciq |
Question: A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
A. 27 seconds
B. 33 seconds
C. 40 seconds
D. 11 seconds
E. 12 seconds
Let's think step by step | Speed = 54 Km/hr = 54*(5/18) m/sec = 15 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (1/15) = 33 seconds
Answer:B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Find a sum for 1st 9 prime number's?
Choices:
A. 25
B. 28
C. 30
D. 34
E. 100
Let's think step by step | Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23) = 100
Note: 1 is not a prime number
Option E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A rotameter is a device that measures flow of liquid and gases. When measuring liquid phase flows, 2.5 inches represent 60 liters per minute of liquid. With gas measurements the rotameter moves 50% of the movement he moves with the liquid phase. How many liters of gas passed through the rotameter if it measur... | In case of liquid- 2.5 inches represents 60 lit/min.
In case of gas- 50% of 2.5 inches represents 60 lit/min
1.25 inches represents 60 lit /min
4 inches will represent 60*4/1.25= 192
B is the answer | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What vesicles store neurotransmitters?
Choices:
A. Golgi apparatus
B. dendritic
C. synaptic
D. hydrophobic
Let's think step by step. | Secretory Vesicles contain materials that are to be excreted from the cell, such as wastes or hormones . Secretory vesicles include synaptic vesicles and vesicles in endocrine tissues. Synaptic vesicles store neurotransmitters. They are located at presynaptic terminals in neurons. When a signal reaches the end of an ax... | https://huggingface.co/datasets/allenai/sciq |
Question: The forth proportional to 1,2,3 is?
Choices:
A. 2
B. 4
C. 8
D. 9
E. 6
Let's think step by step | Let the fourth proportional to 1,2,3 be x
then 1:2::3:x
1x = 2*3
x = 6
Answer is E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A batsman scored 150 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
A. 50%
B. 40%
C. 60%
D. 70%
E. 80%
Let's think step by step | Number of runs made by running = 150 - (3 x 4 + 8 x 6)
= 150 - (60)
= 90
Now, we need to calculate 90 is what percent of 150.
=> 90/150 x 100 = 60 %
ANSWER:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
Choices:
A. 3
B. 2
C. 5
D. 6
E. 9
Let's think step by step | EXPLANATION:
On dividing 3000 by 19, we get 17 as remainder.
Number to be added = (19 - 17) = 2
Answer B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If 9a - b = 10b + 60 = -12b - 2a, what is the value of 11a + 11b?
Choices:
A. -8
B. -4
C. 0
D. 4
E. 8
Let's think step by step | (i) 9a - 11b = 60
(ii) 2a + 22b = -60
Adding (i) and (ii):
11a + 11b = 0
The answer is C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Producing sperm and secreting testosterone are the main functions of what system?
Choices:
A. endocrine system
B. pollination
C. female reproductive system
D. male reproductive system
Let's think step by step. | The main functions of the male reproductive system are to produce sperm and secrete testosterone. Therefore the final answer is D | https://huggingface.co/datasets/allenai/sciq |
Question: Find the smallest number which should be multiplied with 560 to make it a perfect square.
Choices:
A. 60
B. 55
C. 45
D. 25
E. 35
Let's think step by step | 560 = 2*2*2*2*7*5
Required smallest number = 7 * 5 = 35
35 is the smallest number which should be multiplied with 560 to make it a perfect square.
ANSWER:E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 24th of September 1990?
Choices:
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday
Let's think step by step | 19th September
1987: Saturday
1988: Monday (due to leap year)
1989: Tuesday
1990: Wednesday
Hence 24th September was a Monday.
The answer is A. | https://huggingface.co/datasets/deepmind/aqua_rat |
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