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Question: The average age of the district level hockey team of eleven is 25 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Choices:
A. 36 yrs.
B. 37 yrs.
C. 34 yrs.
D. 33 yrs.
E. 32 yrs.
Let's think step by step | Explanation:
Total age of players in team = 25 x 11 = 275
When coach is included, total members = 12, Avg age increases by one becomes 26
Total age when coach is included = 26x12 = 312
Age of coach = 312-275 = 37 yrs.
Answer: B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A train passes a station platform in 42 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
A. 177 m
B. 176 m
C. 240 m
D. 187 m
E. 330 m
Let's think step by step | Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 42 = 15
x + 300 = 630
x = 330m.
Answer: E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The average (arithmetic mean) of six numbers is 5. If 3 is subtracted from each of four of the numbers, what is the new average?
Choices:
A. 1.5
B. 2
C. 3
D. 4
E. 4.5
Let's think step by step | Sum of 6 numbers = 6*5 =30
If 3 is subtracted from each of four of the numbers , we subtract 3*4=12 from the total sum
Sum of 6 number after subtracting 3 from each of four of the numbers = 30 - 12 = 18
New average = 18/6 = 3
Answer C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The banker's discount on a certain sum due 2 years hence is 11/10 of the true discount.The rate percent is
Choices:
A. 11%
B. 10%
C. 5%
D. 5.5%
E. 6%
Let's think step by step | Solution
Let T.D be Rs 1.Then, B.D =Rs.11 / 10
= Rs.1.10.
Sum =Rs.(1.10 x 1/ 1.10-1)
= Rs.(110 / 10)
= Rs. 11.
S.I on Rs.11 for 2 years is Rs.1.10.
Rate =(100 x 1.10 / 11 x 2)%
= 5%
Answer C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Two numbers A and B are such that the sum of 7% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
A. 2 : 1
B. 1 : 2
C. 4 : 9
D. 1 : 1
E. 3 : 2
Let's think step by step | Explanation:
7% of A + 4% of B = 2/3(6% of A + 8% of B)
7A/100 + 4B/100 = 2/3(6A/100+8B/100)
⇒7A + 4B = 2/3(6A + 8B)
⇒21A + 12B = 12A + 16B
⇒ 9A = 4B
⇒ AB = 4/9
⇒ A:B=4:9
Answer: Option C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Mr. Hernandez, who was a resident of State X for only 10 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez... | Total tax for the year = 22,500 x 4% = 900
As stated Annual tax is prorated as per the duration of stay.
Prorated Tax = 900 (10/12) = 750
Answer B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
A. 242 m
B. 249 m
C. 245 m
D. 235 m
E. 345 m
Let's think step by step | Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(130 + x)
= 750 => x
= 245 m.
Answer: C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 50 white marbles. How many red marbles could be in bag A?
Choices:
A. 1
B. 5
C. 4
D. 6
E... | 6 is the answer.
Bag A-
R:W:B = 2:6:9
Let W in bag A be 6K
Bab B -
R:W = 1:4
Let W in bag B be 4k
W =50 = 6K+4k
=> k= 5
Total Red's in bag A will be 2K = 10
B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs. How many hours are required for B to copy 26 papers?
Choices:
A. 11 hours
B. 12 hours
C. 13 hours
D. 14 hours
E. 18 hours
Let's think step by step | A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs.
It means B can copy 20 papers in 10 hrs.
Then time taken by B to copy 26 papers = 26*10/20 = 13 hours
ANSWER:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In how many ways a committee, Consisting of 4 men and 5 women can be formed from 8 men and 10 women?
Choices:
A. 2660
B. 3360
C. 11760
D. 17640
E. 17200
Let's think step by step | To choose Required number of ways to form a committee:
Select 4 men out of 8 men and 5 women out of 10 women.
That is 8C4 * 10C5.
8C4=8!/4!*4!=70
10C5=10!/5!*5!=252
The Required number of ways=70*252=17640
D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
A. 11%
B. 20%
C. 12%
D. 19%
E. 14%
Let's think step by step | P = (P*5*R)/100
R = 20%
Answer:B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Isaac’s salary is reduced by 60% and then reduced salary is increased by 60%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
A. 36%
B. 37%
C. 38%
D. 39%
E. 40%
Let's think step by step | 60*60
-------- = 36%
100
Answer: A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The positive numbers w, x, y, and z are such that x is 30 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Choices:
A. 15.2%
B. 16.0%
C. 20.0%
D. 23.2%
E. 24.8%
Let's think step by step | My strategy is same as theDobermanbut instead take z=100, which makes life a bit easy. As:
z=100
y=120 (20% greater than z)
z=144(20% greater than y)
Now calculate w 20% less than z = 144*80/100= 115.2
Now by just looking, relation between w and z:
w-z/z*100 = 20 - Answer
C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: How many 6 letter words ( with or without meaning) can be formed using all the following 5 lettersV, P,Q,R,S,and T so that letter P is to the left of letter R?
Choices:
A. 320
B. 300
C. 400
D. 480
E. 360
Let's think step by step | Two positions can be selected out of 6 positions in 6C2 ways = 15ways.
And the remaining 4 letters can be placed in 4 posions in 4! Ways = 24 ways.
So the final Answer = number of ways letters P and R can be arranged x number
of ways the other 4 letters can be arranged
Final Answer = 24 x 15 =360 ways
E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: There are some birds in cage, 1/3rd fly away . Then 2/5th of the remaining left the cage , then 2/3rd of the remaining left the cage . At last 8 were remaining . How many birds were in total ?
Choices:
A. 60
B. 27
C. 28
D. 26
E. 91
Let's think step by step | Sol:
If x birds were there in total , then
x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 8
x×2/3 × 3/5 × 1/3 = 8
x = 60
Answer:A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Kanul spent $500 in buying raw materials, $400 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choices:
A. $1010
B. $1025
C. $1125
D. $1100
E. $1000
Let's think step by step | Let the total amount be x
then, (100-10)% of x = 500+400
90% of x = 900
90x/100 = 9000/9
x = $1000
Answer is E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Sachin is younger than Rahul by 4 years.If their ages are in the respective ratio of 7:9, how old is Sachin ?
Choices:
A. 24.5
B. 29
C. 31
D. 26.5
E. 30.5
Let's think step by step | Let Rahul's age be x
then sachin's age = x-7
(x-7)/x = 7/9
9x-63 = 7x
x = 31.5
Sachin's age = x-7= 24.5 years
Answer is A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The events A and B are independent. The probability that event A occurs is p and the probability that event B occurs is q. Which of the following is equal to the probability that exactly one of the events A and B occurs?
Choices:
A. p − 2pq
B. q − pq
C. p + q − 2pq
D. p + q − pq
E. p + q
Let's think step by s... | Probability of A occuring = p , Probability of A NOT occuring = 1-p
Probability of B occuring = q , Probability of B not occurring = 1-q
Probability of atleast of one of A and B occuring = 1-(1-p)(1-q) = p+q -pq
Answer:D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A train passes a man standing on the platform. If the train is 140 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
A. 6 ½ sec
B. 6 ½ sec
C. 9 ½ sec
D. 7 sec
E. 7 ½ sec
Let's think step by step | D
7 sec
D = 140
S = 72 * 5/18 = 20 mps
T = 140/20 = 7 sec | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If A = {9, 17, 25, 28, 29, 30}, how much less is the mean of the numbers in A than the median of the numbers in S?
Choices:
A. 1.0
B. 9.6
C. 3.5
D. 3.2
E. 5.1
Let's think step by step | This is a good question to understand the difference between mean and median.
Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out.
Choices:
A. 40m3
B. 42m3
C. 44m3
D. 46m3
E. None of these
Let's think step by step | Explanation:
Volume=πr2hVolume=(22/7∗1∗1∗14)m3=44m3
Option C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: 90, 180, 12, 50, 100, 160, ?, 3, 40, 4, 25, 2, 6, 30, 3
Choices:
A. 100
B. 150
C. 180
D. 120
E. 220
Let's think step by step | 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
40*4=160
3*40=120 ans is 120
ANSWER:D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: P is four times as old as Q, and Q is six years older than R. If R is z years old, what is P’s age in terms of z?
Choices:
A. 4z + 6
B. 4z − 24
C. 4z + 24
D. (z + 6. /4
E. (z − 6. /4
Let's think step by step | P = 4Q
Q = R+6 = z+6
P = 4(z+6) = 4z + 24
The answer is C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A certain amount becomes Rs. 5760 in 2 years and Rs. 6912 in 3 years. What is the principal amount and the rate of interest?
Choices:
A. Rs. 3050
B. Rs. 3150
C. Rs. 3450
D. Rs. 4000
E. Rs. 3500
Let's think step by step | SI on Rs. 5760 for 1 year = 6912 – 5760 = Rs. 1152
Therefore, Rate of interest for 1 year = 100*1152/5760*1 = 20%
Let the principal be p.
Then, Principal = p[1+ 20/100]2 = 5760
Solving which gives Principal = Rs. 4000 ANSWER : D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The speed of a car is 90 km in the first hour and 55 km in the second hour. What is the average speed of the car?
Choices:
A. 72.5 kmph
B. 75 kmph
C. 87 kmph
D. 56 kmph
E. 86 kmph
Let's think step by step | S = (90 + 55)/2
= 72.5 kmph
Answer: A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
A. 24 km
B. 76 km
C. 99 km
D. 77 km
E. 20 km
Let's think step by step | Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 4.5
=> x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.
Answer: E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 2
II. x = 0
III. x = -y
Choices:
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
Let's think step by step | Answer choice A is correct.
The question gives you x^2=xy
you can simplify that as x^2-xy=0
x(x-y)=0 the solution will be either x=0 or x=y, since x and y are different integers x cannot equal y, that leaves you x=0 to be the only answer.
Answer B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Solve below question 2x + 1 = -11
Choices:
A. -8
B. -6
C. 9
D. 8
E. -7
Let's think step by step | 2x + 1 = -11
x = -6
B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If x is an integer, then x(x - 1)(x - n) must be evenly divisible by three when n is any of the following values EXCEPT
Choices:
A. -4
B. -2
C. -1
D. 2
E. 5
Let's think step by step | here's another approach
x(x - 1)(x - n)
all three are consecutive, so the product MUST be a multiple of 3
we don't know the value of n just yet ... so let's extend the series ... the extension itself reveals the answers
..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..
we can see the possible values of n too from the series
n = 2 OR ... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Carol budgeted 18 dollars for gifts for each of the 15 people on her Christmas list. After a disagreement with some of her neighbors, she reduces her Christmas list to 10 people. How much can she spend on each?
Choices:
A. 20
B. 27
C. 18
D. 23
E. 30
Let's think step by step | A1*P1=A2*P2
18*15=A2*10 => A2=27
Answer:B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If x is an integer such that 3 < x < 10, 5 < x < 18, 9 > x > –2, 8 > x > 0, and x + 1 < 9, then x is
Choices:
A. 3
B. 5
C. 7
D. 9
E. 11
Let's think step by step | 3 < x < 10,
6 < x < 18,
-2 < x <9
0 < x < 8
x<8
From above: 6< x < 8 --> x = 7.
Answer: C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The effective annual rate of interest corresponding to a nominal rate of 12% per annum payable half-yearly is?
Choices:
A. 16.06%
B. 16.07%
C. 12.36%
D. 6.09%
E. 6.19%
Let's think step by step | Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 6/100)2] = Rs. 112.36 Effective rate = (112.36 - 100) = 12.36%
ANSWER:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A train 160 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
A. 40 sec
B. 50 sec
C. 44 sec
D. 24 sec
E. 60 sec
Let's think step by step | Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 160 + 140 = 300 m
Required time = 300 * 2/25 = 24 sec
Answer:D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Choices:
A. 22
B. 24
C. 77
D. 99
E. 11
Let's think step by step | Explanation:
side of first square = 40/4 =10cm
side of second square = 32/4 = 8cm
area of third squre = 10² - 8² = 36 sq cm
side of third square = \inline {\color{Black}\sqrt{36}} = 6 cm
required perimeter = 6*4 = 24cm
Answer: B) 24 | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 25 skiers were CPR certified and 31 were not. How many skiers tried out for the ski patrol?
Choices:
A. 40
B. 50
C. 60
D. 70
E. 80
Let's think step by step | Not Selected = 80%
If total is x.
Then 0.8x=25+31=56
x=70
Hence answer is D. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What is an ionic bond in nature?
Choices:
A. magnetic
B. radioactive
C. electrostatic
D. kinetic
Let's think step by step. | An ionic bond is electrostatic in nature. Therefore the final answer is C | https://huggingface.co/datasets/allenai/sciq |
Question: the average distance between the sun and a certain planet is approximatly 2.7 10^10 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Choices:
A. 6.9 x(10. ^6
B. 6.9 x(10. ^4
C. 6.9 x(10. ^3
D. 6.9 x(10. ^5
E. 6.9... | No need to solve entire problem.
Distance in KM = 27*(10)^10/39*(10)^4 which is -270*(10)^9/39*(10)^4 = 6.9 x(10)^5
Answer : D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What are the three types of muscle tissue in the body?
Choices:
A. proliferating , cardiac , smooth
B. spongy, cardiac, skeletal
C. skeletal, cardiac, smooth
D. topography , cardiac , smooth
Let's think step by step. | 10.1 Overview of Muscle Tissues Muscle is the tissue in animals that allows for active movement of the body or materials within the body. There are three types of muscle tissue: skeletal muscle, cardiac muscle, and smooth muscle. Most of the body’s skeletal muscle produces movement by acting on the skeleton. Cardiac mu... | https://huggingface.co/datasets/allenai/sciq |
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 280 sq cm. Find the area of the square?
Choices:
A. 482
B. 268
C. 260
D. 480
E. Cannot be determined
Let's think step by step | Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 280
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 16 + 6x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Choices:
A. –4
B. –5
C. –6
D. –7
E. –9
Let's think step by step | Since f(x) defines maximum of 2x + 4 and 16 + 6x,
to find those x when 2x+4 has greater value,
2x + 4 > 16 + 6x
or x < -3
Only value that satisfy this is -4.
Answer is (A), | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?
Choices:
A. 25 m
B. 75 m
C. 85 m
D. 05 m
E. 15 m
Let's think step by step | Explanation:
A:B = 200 : 169
A:C = 200 : 182
=
=> 182:169
When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers
=> 325 m
So C beats B by (350 - 325) = 25 m.
Answer: A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Arun borrowed a sum for 4 years on S.I. at 12%. The total interest paid was Rs. 360. Find the Principal.
Choices:
A. Rs.700
B. Rs.650
C. Rs.800
D. Rs.750
E. Rs.850
Let's think step by step | Explanation :
P=100×SI/RT
=100×360/12×4
=100×30/4
=25×30
=750
Answer : Option D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective?
Choices:
A... | Ans: Probability that the part X is nondefective is = 1 - 9/100=.91
Probablity that the part Y is nondefective is = 1 - 5/100=.95
so, Probablity of nondefective product=0.91××0.95=0.8645
Answer:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ?
Choices:
A. 140 km/hr
B. 130 km/hr
C. 110 km/hr
D. 120 km/hr
E. None of these
Let's think step by step | Explanation:
Let the speeds of two trains be 7X and 9X km/hr.
9/X=540/3=>X=20Km/hr
So speed of first train is 20*7 = 140 km/hr
Option A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
A. 17/26
B. 17/25
C. 17/22
D. 17/20
E. 17/21
Let's think step by step | n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20.
Answer: D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: (1000)7÷(10)19=?
Choices:
A. 10
B. 100
C. 1000
D. 10000
E. None of these
Let's think step by step | Explanation:
=(103)7/(10)19
=(10)21/(10)19=10(2)=100
Option B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What process brings nutrients from the ocean's floor to its surface?
Choices:
A. Down welling
B. Tides
C. coastal swell
D. upwelling
Let's think step by step. | Upwelling brings nutrients to the surface from the ocean floor. Nutrients are important resources for ocean life. However, they aren’t the only resources on the ocean floor. Therefore the final answer is D | https://huggingface.co/datasets/allenai/sciq |
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
Choices:
A. 3100
B. 6220
C. 6210
D. 6240
E. 6670
Let's think step by step | Market Value = Rs. 96.
Required Income = Rs. 650.
Here face value is not given. Take face value as Rs.100 if it is not given in the question
To obtain Rs.10 (ie,10% of the face value 100), investment = Rs.96
To obtain Rs.650, investment = 96/10×650=6240
Answer is D. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable?
Choices:
A. 98%
B. 93%
C. 91%
D.... | Total Area = 1000*2000
Tillable Square's side horizontally = (2000-20-30-20)/2 = 1930/2 = 965
Tillable Square's side vertically = (1000-20-20) = 960 = 960
Consider it as 960:
Why approximated to 93 and not 91 because we shortened one side from 965 to 960. Thus, in reality the squares are bigger.
Ans: "B" | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
A. 9:5
B. 9:8
C. 9:2
D. 9:9
E. 9:1
Let's think step by step | (3*6 + 6*6): (4*12)
54:48 =>
9:8
Answer:B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A certain restaurant offers 6 different salads, 4 different main courses, and 6 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
Choices:
A. 240
B. 280
C. 320
D. 360
E. 400
Let's think step by step | The number of possible choices for desserts is 6C2 = 15
The number of possible meals is 6*4*15 = 360
The answer is D. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The length of a rectangle is 2 cm more than the width of the rectangle. The perimeter of the rectangle is 20 cm. Find the length and the width of the rectangle.
Choices:
A. l=2,w=9
B. l=5,w=8
C. l=6,w=4
D. l=1,w=7
E. l=2,w=3
Let's think step by step | Let length l=x, width w=x−2and perimeter =p
∴p=2l+2w
=2x+2(x−2)
20=2x+2x−4
4x=24
x=6
l=6 cm and w=l−2=4cm
Answer is C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
Choices:
A. 56
B. 40
C. 30
D. 22
E. 25
Let's think step by step | We have two series here
34, 37, 40, 43, ... (Increase by 3)
7, 14, 28, ... (Multiply by 2)
next term is 28 × 2 = 56
ANSWER A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In which organ does a baby develop?
Choices:
A. uterus
B. ovaries
C. pancreas
D. pelvis
Let's think step by step. | The uterus is a hollow organ with muscular walls. The uterus is where a baby develops until birth. The walls of the uterus stretch to accommodate the growing fetus. The muscles in the walls contract to push the baby out during birth. The uterus is connected to the vagina by a small opening called the cervix. Therefore ... | https://huggingface.co/datasets/allenai/sciq |
Question: A can do a work in 6 days. B can do the same work in 8 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?
Choices:
A. 600,800
B. 500,500
C. 300,700
D. 800,200
E. 550,450
Let's think step by step | Ratio of their works A:B = 6:8
Ratio of their wages A:B = 3:4
A's share = (3/5)1000 = 600
B's share = (4/5)1000 = 800
correct option is A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Chemical elements and water are recycled through what cycle?
Choices:
A. biogeochemical
B. dynamical
C. biogenic
D. evaporation
Let's think step by step. | Chemical elements and water are recycled through biogeochemical cycles. The cycles include both biotic and abiotic parts of ecosystems. Therefore the final answer is A | https://huggingface.co/datasets/allenai/sciq |
Question: The area of a circular field is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 7 per metre approximately
Choices:
A. 4457
B. 10400
C. 4235
D. 4547
E. 4675
Let's think step by step | Explanation:
Area = (17.56 x 10000) m2= 175600 m2.
ΠR2 = 175600 ⇔ (R)2 = (175600 x (7/22)) ⇔ R = 236.37 m.
Circumference = 2ΠR = (2 x (22/7) x 236.37) m =1485.78 m.
Cost of fencing = Rs. (1485.78 x 7) = Rs. 10400.
Answer: Option B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
A. 22
B. 28
C. 25
D. 82
E. 34
Let's think step by step | M = 20
S = 5
DS = 20 + 5 = 20.Answer:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Which of the following equations has a root in common with x^2−3x+2=0 ?
Choices:
A. x^2-2x+1=0
B. x^2-2x-1=0
C. x^2-x+1=0
D. x^2-3x+3=0
E. x^2-7x=0
Let's think step by step | If we carefully look at the given equation we can arrange it in the following manner:
(x-1)(x-2)= 0
so the two roots are 1 and 2.
Now put 1 and 2 in given equations. The equation in which one of them gives value 0, that will be our answer.
(A) putting 1: we get 0. This is the equation.
We are lucky. No need to check ot... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 16 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Choices:
A. 40
B. 50
C. 64
D. Data inadequate
E. None of these
Let's t... | E+H+G+M/4−E+S+M+H/4=16
⇒ G - S = 64
Answer C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Anil bought a T.V with 20% discount on the labeled price . Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the T.V?
Choices:
A. Rs. 16000
B. Rs. 12000
C. Rs. 10000
D. Rs. 5000
E. Rs. 7000
Let's think step by step | Let the labelled price be Rs. X,
S.P = 80/100*X =4X/5
New S.P = 75/100*X = 3X/4
4X/5 –3X/4 500, X = 10000
ANSWER:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol?
Choices:
A. 7/2
B. 5
C. 100/3
D. 8
E. 39/4
Let's think step by step | 20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.
If we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.
According to the statement;
20+x = 40% of (100+x)
OR
20+x=(100+x)2/5
1... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A reduction of 40% in the price of bananas would enable a man to obtain 65 more for Rs.40, what is reduced price per dozen?
Choices:
A. 1.95
B. 2.95
C. 4.95
D. 3.95
E. 5.95
Let's think step by step | 40*(40/100) = 16 --- 65
? --- 12 => Rs.2.95
Answer: B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
A. 1
B. 2
C. 3
D. 4
E. None
Let's think step by step | Let the ten's digit be x and unit's digit be y.
Then, (10x + y) - (10y + x) = 36
9(x - y) = 36
x - y = 4.
Option D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What is the simplest type of carbon-based compounds?
Choices:
A. graphite
B. particles
C. hydrocarbons
D. Buckminsterfullerine
Let's think step by step. | Hydrocarbons are compounds that contain only carbon and hydrogen. Hydrocarbons are the simplest type of carbon-based compounds. Nonetheless, they can vary greatly in size. The smallest hydrocarbons have just one or two carbon atoms, but large hydrocarbons may have hundreds. The size of hydrocarbon molecules influences ... | https://huggingface.co/datasets/allenai/sciq |
Question: The contents of a certain box consist of 48 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
Choices:
A. 90
B. 72
C. 82
D. 54
E. 65
Let's think step by step | apple = (apple + kiwi + x)*0.3
48 = (30 + 48 + x)*0.3
x = 82
Answer: C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: How many numbers between 0 and 1270 have a prime tens digit and a prime units digit?
Choices:
A. 186
B. 192
C. 198
D. 204
E. 210
Let's think step by step | From 1-9 there are 4 prime numbers {2, 3, 5, 7}. The 10s and 1s of the number must be made with these numbers. The total number of combinations is 4*4 = 16. Thus every set of 100 consecutive positive integers has 16 such numbers.
From 0 to 1200, there 16*12 = 192 such numbers.
From 1201 to 1270, the 10s units can only ... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A Jar contains a mixture of AB in the ratio 3:2. When 20 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
Choices:
A. 12
B. 15
C. 16
D. 20
E. 36
Let's think step by step | 20 litres of mixture that is replaced will contain 12 litres of A and 8 litres of B (as A:B = 3:2)
Let the initial volume of the mixture be 3K + 2K = 5K
So by condition ,
[ 3K-12]/ [ 2K-8+20 ] = 2/3 => 9K-36 = 4K-16+40 => 5K= 60
Solve for K which is K = 12
So initial volume of liquid A = 3K = 36 litres
Answer : E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Choices:
A. 3x^3
B. 9x/3
C. 9x^2
D. x(x+1. (x+2.
E. x-3
Let's think step by step | *any number multiplied by 3, will be divided by 3
for option E if we put value x=10, 10-3=7 is not divisible by 3
Answer : E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: What muscle is imperative to breathing in helping the air move in and out of the lungs?
Choices:
A. diaphragm
B. uterus
C. kidneys
D. spleen
Let's think step by step. | Breathing is the process of moving air into and out of the lungs. It depends on the muscle called the diaphragm. Therefore the final answer is A | https://huggingface.co/datasets/allenai/sciq |
Question: At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $70,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary f... | The answer should be -> E. $40,000 | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: (x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. -6
II. -4
III. 5
IV. 2
Choices:
A. I and II only
B. I and III only
C. II and III only
D. II and IV only
E. I, II, III, and IV
Let's think step by step | (x - 1)(x + 3) > 0 --> x<-3 or x>1.
(x + 5)(x - 4) < 0 --> -5<x<4.
Among choices only -4 and 2 satisfy both inequalities.
Answer: D. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: When Sally went to the candy store, she bought 25 licorice sticks. As she was walking home, she ate 1 licorice stick for each block that she walked. She walked 5 blocks. How many licorice sticks did she have left when she arrived at home?
Choices:
A. 30
B. 25
C. 20
D. 19
E. 21
Let's think step by step | To determine the number of licorice sticks that she ate, you have to multiply the number of blocks that she walked by the number that she ate per block (5*1=5)To determine the number of licorice sticks remaining when she arrived home, you have to subtract the number of licorice sticks that she ate from the total that s... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: find the last digit of 322^369
Choices:
A. 1
B. 2
C. 3
D. 4
E. 5
Let's think step by step | for calculating the unit place of these type of question (exponent)
as the power of 2 repeats after 4, so we will divide the exponent by 4
e.g, 2^1 = 2 and 2^(4+1) = 32, both have same unit place
369/4 gives the remainder as 1
so we can write 322^369 = 2^1 = 2
so, the unit place will be 2
ANSWER:B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 32 percent of the total votes?
Choices:
A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%
Let's think step by step | There were 80% of the votes remaining and he needed 12%/80% = 3/20 = 15%
The answer is C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?
Choices:
A. 6 kmph
B. 5 kmph
C. 2 kmph
D. 3 kmph
E. 1 kmph
Let's think step by step | Speed downstream = d/t = 75/(5) = 15 kmph
Speed upstream = d/t = 45/(5) = 9 kmph
The speed of the stream = (15 - 9)/2 = 3 kmph
Answer:D | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A sum of money at simple interest amounts to Rs. 815 in 2 years and to Rs. 854 in 4 years. The sum is:
Choices:
A. s. 650
B. s. 690
C. s. 698
D. s. 700
E. s. 737
Let's think step by step | S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 2 years = Rs.(39 x 2) = Rs. 78.
Principal = Rs. (815 - 78) = Rs. 737.
Answer: Option E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: At milk factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
Choices:
A. 8/17
B. 1/2
C. 8/9
D. 9/8
E. 17/8
Let's think step by step | At milk factory, Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9;
Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift emp... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling ten books ?
Choices:
A. 23267
B. 2677
C. 1800
D. 2250
E. 76611
Let's think step by step | Explanation:
Least Cost Price = Rs. (200 * 10) = Rs. 2000.
Greatest Selling Price = Rs. (425 * 10) = Rs. 4250.
Required profit = Rs. (4250 - 2000) = Rs. 2250.
Answer: D) 2250 | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A plane mirror has a flat reflective surface and forms only which kind of images?
Choices:
A. spherical
B. virtual
C. reduced
D. enlarged
Let's think step by step. | Most mirrors are plane mirrors. A plane mirror has a flat reflective surface and forms only virtual images. The image formed by a plane mirror is also life sized. But something is different about the image compared with the real object in front of the mirror. Left and right are reversed. Look at the man shaving in Figu... | https://huggingface.co/datasets/allenai/sciq |
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
A. 2000
B. 2887
C. 2797
D. 1172
E. 1200
Let's think step by step | Explanation:
Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.
Answer:A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If -2<= x <= 2 and 3 <= y <= 4, which of the following represents the range of all possible values of y-x?
Choices:
A. 1 <= y-x <= 6
B. 1 <= y-x <= 5
C. 1 <= y-x <= 6
D. 5 <= y-x <= 10
E. 1 <= y-x <= 10
Let's think step by step | Maximum value of y-x= 4 - (-2)= 6
Minimum value of y-x= 3-2= 1
A mentions the correct range | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 25 men in 3 days?
Choices:
A. 65mtr.
B. 52mtr
C. 70mtr.
D. 78mtr.
E. 17mtr.
Let's think step by step | 20 men is 6 days can build 112 metres
25 men in 3 days can build = 112*(25/20)x(3/6)
= 70 meters
Answer: C. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choices:
A. 4.04%
B. 4.14%
C. 4.23%
D. 4.26%
E. 4.5%
Let's think step by step | 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.
(A2 - A1) = [(102)2 - (100)2]
= (102 + 100) x (102 - 100)
= 404 cm2.
Percentage error = 404 x 100 % =
100 x 100
A) | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Find the fourth proportion to 6,12,18
Choices:
A. 24
B. 12
C. 36
D. 8
E. 15
Let's think step by step | Explanation:
6:12 :: 18:x
=> 6/12= 18/x
=> x = 18*12/6
=> x = 24
Answer:C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If 20 men can build a wall 56 meters long in 6 days , what length of a similar wall can be built by 35 men in 3 days?
Choices:
A. 44
B. 48
C. 45
D. 47
E. 49
Let's think step by step | Let the required length be x meters
More men, More length built (Direct proportion)
Less days, Less length built (Direct Proportion)
Men 20:35 and Days 6:3::56:x
Therefore (20 x 6 x (X))=(35 x 3 x 56)
x=(35x3x56)/120=49
Hence, the required length is 49 m.
Answer is E. | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
A. 23 years
B. 24 years
C. ... | Explanation: Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.
Answer: Option A | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 24 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
A. 19
B. 19.7
C. 20.7
D. 21.7
E. 22.8
Let's think step by step | Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 24 Paise is given as tax
=> Total tax incurred = 24 Paise = Rs.24/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 24/100
⇒ 6(25 −0.3 −x) = 24
⇒ (25 − 0.3 − x) = 4
⇒ x = 25 − 0.3 − 4 = 20.7
C) | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: If a(a - 4) = 12 and b(b -4) = 12, where a ≠ b, then a + b =
Choices:
A. −48
B. −5
C. 4
D. 46
E. 48
Let's think step by step | i.e. if a = 6 then b = -2
or if a = -2 then b = 6
But in each case a+b = -2+6 = 4
Answer: option C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Place a number in each of the following empty
boxes so that the sum of the numbers in any 3
consecutive boxes is 2015. What is the number
that should go in the box with the question
mark?
Choices:
A. 684
B. 567
C. 892
D. 431
E. 999
Let's think step by step | To help illustrate the problem, we will label a few boxes as shown below.
Since the sum of the numbers in any 3 consecutive boxes is the same,
607 + A + B = A + B + C.
After taking away both A and B from the above equation we get 607 = C
Therefore, the number in box C should be 607.
Since the sum of the numbers in any ... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Of the families in City X in 2000, 30 percent owned a personal computer. The number of families in City X owning a computer in 2004 was 20 percent greater than it was in 1994, and the total number of families in City X was 10 percent greater in 2004 than it was in 2000. what percent of the families in City X ... | Say a 100 families existed in 2000 then the number of families owning a computer in 2000 - 30
Number of families owning computer in 2000 = 30 * 120/100 = 36
Number of families in 2004 = 110
The percentage = 36/110 * 100 = 32.72%.
Option: E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A Person X started at 3 hours earlier at 40km/h from a place P, then another person Y followed him at 60km/h. Started his journey at 3 O'clock, afternoon. What is the diference in time when X was30 km ahead of Y and when Y was 30 km ahead of X?
Choices:
A. 8h
B. 3h
C. 6h
D. 3h
E. 1h
Let's think step by step | Explanation:
Time ( when X was 30 km ahead of Y) = (120-30)/20 =4.5h
Time ( when Y was 30 km ahead of X) = (120+30)/20 = 7.5 h
Thus, required difference in time = 3h
Answer: B | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 65 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters... | Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.
60*0.65=39 Democrats are expected to vote for Candidate A;
40*0.20=8 Republicans are expected to vote for Candidate A.
Thus total of 39+8=47 registered voters are expected to vote for Candidate A, which is 47% of th... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: 12 years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Choices:
A. 13
B. 14
C. 15
D. 16
E. 18
Let's think step by step | Let the present ages of Anand and Bala be 'a' and 'b' respectively.
a - 12 = 1/3 (b - 12) --- (1)
b = a + 12
Substituting b = a + 12 in first equation,
a - 12= 1/3 (a +0) => 3a - 36 = a
=> 2a = 36 => a = 18.
ANSWER:E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: On a test average (arithmetic mean) test score for 4 students is 85. What must be 5th student's score that average score for 5 students to be 86?
Choices:
A. 70
B. 80
C. 90
D. 100
E. 110
Let's think step by step | (4*85+x)/5=86
x=(5*86)-(4*85)
x= 430 - 340
total score required 430 - 340=90
Correct answer is C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.
What fraction o... | Solution:
In one hour,
Soln 1:
the large inlet tube fills 1 / 3 of the tank;
the small inlet tube fills 1 / 6 of the tank;
the outlet tube empties 1 / 9 of the tank; and therefore
all three tubes together fill [ (1 / 3) + (1 / 6) − (1 / 9) ] of the tank.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The daily hotel rates for five hotels John was considering were $60, $125, $80, $70 and $x. If the median price was $5 lower than the average (arithmetic mean) price, which of the following could be $x?
Choices:
A. $80
B. $85
C. $90
D. $95
E. $100
Let's think step by step | Look at the options available
Value of x seems to $80 < = $x < = $100
A. $80
B. $85
C. $90
D. $95
E. $100
So position of $x is fourth
$60 , $70 , $80 , $x , $125
Median = $80
Median price was $5 lower than the average, so average = $85
$60 + $70 + $80 + x + $125 = $425
$x = $90 = Answer = C | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/3 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Choices:
A. 1/2 n
B. 4/3 n
C. 3/2 n
D. 9/4 n
E. 7/3n
Let's think step by step | A is the answer.
To solve this problem, draw diagram or use algebra. I'm more comfortable with algebra.
Given
- tank was already 1/3 full.
- When n ltr added, it became 7/3
So 1/3 + n = 7/3
n = 7/3 - 1/3
n = 6/3
capacity of the tank is full fraction . i.e. 1 i.e. 3/3
so the question is 3/3 is how much times n
= 3/3 = 1... | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: Calculate the mean of each data set {9,10,11,7,13}
Choices:
A. 4
B. 5
C. 8
D. 9
E. 10
Let's think step by step | mean of Data set A = (9+10+11+7+13)/5 = 10
mean of Data set B = (10+10+10+10+10)/5 = 10
mean of Data set C = (1+1+10+19+19)/5 = 10
Option E | https://huggingface.co/datasets/deepmind/aqua_rat |
Question: The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 768 sq meters, then what is the width (in meters) of the rectangular plot?
Choices:
A. 24 m
B. 16 m
C. 35 m
D. 54 m
E. 43 m
Let's think step by step | Area = L*W = 3W^2 = 768
W^2 = 256
W = 16
The answer is B. | https://huggingface.co/datasets/deepmind/aqua_rat |
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