RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A factory has 15 machines of equal efficiency in its factory. The annual manufacturing costs are Rs.42,000 & establishment charges are Rs.12,000. The annual output of the company is Rs.70,000. The annual output and manufacturing costs are directly proportional to the number of machines. The shareholders get 12.512.5 profit, which is directly proportional to the annual output of the company. If 7.147.14 machines remain closed throughout the year, then the % decrease in the amountof profit of the shareholders would be?
A.12.5%
B.13.5%
C.14%
D.15%
Answer: A.12.5%
Explanation: Option(B) is correct
Original profit
= 70,000−42,000−12,000=16,00070,000−42,000−12,000=16,000
If 7.14%7.14% of 14 i.e. one of the machines closed throughout the year, then change in profit will be:
=1314×[70,000−42,000]=1314×[70,000−42,000]
=14,000=14,000
Thus, decrease in the profit %%
=200016000×100=200016000×100
=12.5%
A
Question: Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
A.540
B.600
C.660
D.720
Answer: B.600
Explanation: Sue planted 4 times as many apple seeds as she planted orange seeds.
Yes, apple:orange be 4:1 but this translates to Apple = 4*Orange and not 4*Apple = Orange
Let Orange be x
Apple = 4*Orange = 4x
0.15Apple + 0.10Orange = 420
=> 0.15*4x + 0.10*x = 420
=> 0.7x = 420
=> x = 600
So, answer will be B
Question: The proportion of water to alcohol in Solution A is 5:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
A.36.7%
B.37.6%
C.38.3%
D.39.8%
Answer: C.38.3%
Explanation: Let V be the total volume of the new solution.
Then a volume of V/2 was added from each solution A and B.
The amount of alcohol added to the new solution was:
(1/6)(V/2)+(3/5)(V/2)=V/12+3V/10=23V/60.
The concentration of alcohol is 23/60=38.3%
The answer is C.
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 60kmph, find the rate at which the train B runs.
A.40
B.60
C.120
D.90
Answer: D.90
Explanation: If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:
Sa/Sb = √(b/a)
i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.
Sa/Sb = √(4/9) = 2/3
This gives us that the ratio of the speed of A : speed of B as 2:3.
Since speed of A is 60 kmph, speed of B must be 80*(3/2) = 90 kmph
D
Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates C apply to what fraction of a week?
A. 1/2
B. 5/8
C. 9/14
D. 16/21
Answer: C. 9/14
Explanation: Number of hours between 8 PM to 8 AM = 12
Number of hours with reduced rates = (12*5)+(24*2)
Hours with reduced rates C/Total number of hours in a week = (12*5)+(24*2)/(24*7) = 108/(24*7) = 9/14
Answer: C
Question: Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?
A.4512
B.4552
C.4511
D.4529
Answer: C.4511
Explanation: Now as per question, Karan invested for 12 months and Satish invested for 7 months.
So
Karan:Satish = (29000*12):(18000*7)
= 348:126
= 58:21
Satish Ratio in profit will be
=(16970 )=Rs. 4511
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 21 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
A.22 years
B.40 years
C.50 years
D.55 years
Answer: A.22 years
Explanation: Solution
Sum of the present ages of husband, wife and child	= (21x3+3x3) years
= 72 years.
Sum of the present ages of wife and child	= (20x2+5x2) years
= 50 years.
âˆ´ Husband's present age	= (72 - 50) years
= 22 years.
Answer A
Question: What is the least possible product of 4 different integers, each of which has a value between –4 and 10, inclusive?
A.–5040
B.–2880
C.–720
D.–600
Answer: B.–2880
Explanation: Maximize the total product with a -ve sign
so -4 * 10 * 9 * 8 = 720 * -4 = -2880
Answer is B.
Question: Jones has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
A.2/5
B.1/13
C.1/9
D.1/10
Answer: B.1/13
Explanation: Can be tackled in this way as well: Probability of selecting any 1 out of 12 shoes = 12/12 = 1
Probability of selecting the next shoe (out of 13 available) having the same color = 1/13 (as after selecting the 1st one, there is only 1 another shoe left with the same color).
Thus the total probability = 1*1/13=1/13.
B is the correct answer.
Question: 43 : 34 :: 52 :?
A.49
B.25
C.36
D.64
Answer: B.25
Explanation: Ans 25
Reverse of 52
ANSWER:B
Question: One fourth of a solution that was 15% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?
A.24%
B.34%
C.22%
D.19%
Answer: D.19%
Explanation: consider total solution to be 100 liters and in this case you'll have: 75*0.15+25*x=100*0.16 --> x=0.19.
Answer: D.
Question: There are 38 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
A.6
B.12
C.19
D.24
Answer: C.19
Explanation: 38*2/3 *3/4= 19
Answer: C
Question: The sector of a circle has radius of 21 cm and central angle 110o. Find its perimeter?
A.91.5
B.91.4
C.91.7
D.82.3
Answer: D.82.3
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (110/360 * 2 * 22/7 * 21) + 2(21)
= 40.3 + 42 = 82.3 cm
Answer:D
Question: In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answeredquestion is worth 0 points.Of the following scores which one is not attainable
A.96
B.97
C.94
D.95
Answer: A.96
Explanation: 1. 15 corrected and 1 uncorrected
20+5*15+0=95
2.15 corrected and 1attempted
20+5*15+2=97
3. 14corrected+2attempted
20+14*5+2*2=94
so 96 is not possible
ANSWER:A
Question: Out of 10 persons working on a project, 7 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
A.5/7
B.119/3
C.5/120
D.119/120
Answer: D.119/120
Explanation: P(at least one graduate) = 1 - P(no graduates)
= 1 - 3C₃/¹⁰C₃ = 1 - (1)/(10 * 9 * 8)
= 119/120
Answer: D
Question: In a certain village, 200 litres of water are required per household per month. At this rate, if there are 5 households in the village, how long (in months) will 2000 litres of water last?
A.9
B.5
C.6
D.2
Answer: D.2
Explanation: I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:
In a certain village,m 200 litres of water are required per household per month. At this rate, if there aren 5 households in the village, how long (in months) willp2000litres of water last?
Water required is 200*5=1000 (m*n)
Water available is 2000 (p)
It will last 2 months (p/m*n)
Ans : D
Question: What is the place value of 3 in the numeral 3259
A.2000
B.2500
C.2600
D.3000
Answer: D.3000
Explanation: Option 'D'
3 * 1000 = 3000
Question: A car dealership sold two cars: the first car at a 10% profit and the second car at a 10% loss, which gave them an overall profit margin of 5% from these two sales. If the dealership's total profit was $1000, what was the sale price of each car?
A.$5,000 and $1,000
B.$9,000 and $5,000
C.$11,000 and $9,000
D.$15,000 and $5,000
Answer: D.$15,000 and $5,000
Explanation: lets denote cost of Car1 as c1 and cost car2 as c2 respectively.
overall sale resulted in a profit of 5%
=> profit from first sale - loss from second sale still yielded in overall 5% profit
=> (10/100)c1 - (10/100)c2 = (5/100)(c1+c2)
=> c1 = 3c2 ----equation 1
Overall profit = 1000
=>(5/100)(c1+c2) = 1000
=> c1+c2 = 20000------equation 2
from 1 and 2 we can find out values of c1 and c2.
c2=5000
c1 = 15000
Answer is D.
Question: One year ago, the ratio of Gaurav’s and Sachin’s age was 6: 7 respectively.Four years hence, this ratio would become 7: 8. How old is Sachin ?
A.27 years
B.36 years
C.12 years
D.41 years
Answer: B.36 years
Explanation: Let Gaurav's and Sachin's ages one year ago be 6x and 7x years respectively. Then, Gaurav's age
4 years hence = (6x + 1) + 4 = (6x + 5) years.
Sachin's age 4 years hence = (7x + 1) + 4 = (7x + 5) years.
6x+5 = 7
____ _
7x+5 8
8(6x+5) = 7 (7x + 5)
48x + 40 = 49x + 35
x = 5.
Hence, Sachin's present age = (7x + 1) = 36 years
Answer is B.
Question: A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
A.52 kmph.
B.62 kmph.
C.72 kmph.
D.80 kmph.
Answer: B.62 kmph.
Explanation: Solution
Relative Speed	= (280 / 9)m/sec
= (280/9 x 18/5)
= 112 kmph.
Speed of the train	= (112 - 50)kmph
= 62 kmph.
Answer B
Question: A local bank that has 8 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 8 codes?
A.4
B.6
C.5
D.3
Answer: D.3
Explanation: Pick any two integer.
Integers: 12
Code: 11, 12, 21, 22 = 4 Codes
Add one more integer: 3
13, 31, 33, 23, 32 = 5 Codes
Total = 9 Codes. Enough.
Answer: D
Question: If there are 4 peanuts in a box and Mary puts 4 more peanuts inside, how many peanuts are in the box?
A.8
B.9
C.10
D.11
Answer: A.8
Explanation: 4+4=8
correct answer is A)8
Question: A package contains 8 black and 14 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.3/5
B.7/11
C.6/8
D.7/9
Answer: B.7/11
Explanation: Let number of balls = (8+14) = 22.
Number of white balls = 14.
P (drawing a white ball) =	14/22=7/11
B
Question: At what time between 5.30 and 6 will the hands of a clock be at right angles?
A.(43 + 7/11) min pats 7
B.(43 + 7/11) min pats 5
C.(43 + 7/11) min pats 4
D.(43 + 7/11) min pats 2
Answer: B.(43 + 7/11) min pats 5
Explanation: At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min
40 min. spaces are gained in min
Answer: B
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $175 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?
A.25%
B.30%
C.37.5%
D.56.25%
Answer: B.30%
Explanation: We can show this algebraically:
If there are A customers with plan A, and B customers with plan B, then the total revenue is $75A + $175B.
Since the average customer pays $150, we know that
$150 = ($75A + $175B) / (A + B)
$150(A + B) = ($75A + $175B)
$150A + $150B = $75A + $175B
$75A = $25B
3A = B.
Since there are 1/3 times as many $75 clients as $175 clients, for every $175 received from Plan B customers, 3($75) = $75 is received from Plan A customers, and the percent of revenue from customers with Plan A is:
$75/($75 + $175)= 30%.
The correct answer is choice (B).
Question: The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 40 percent of the budget?
A. 15 °
B. 144 °
C. 54 °
D. 90 °
Answer: B. 144 °
Explanation: 100 percent = 360 degrees
40 percent = 360*40/100 = 144 degrees
Answer is B.
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A.Rs. 4991
B.Rs. 5991
C.Rs. 6001
D.Rs. 6991
Answer: A.Rs. 4991
Explanation: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.
Answer A
Question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
A.4/5
B.3/5
C.3/10
D.1/20
Answer: D.1/20
Explanation: 25 + 15 + 55 = 95% 100 - 95 = 5% to all others
D
Question: A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
A.12
B.27
C.29
D.50
Answer: D.50
Explanation: SP per metre = 18000/400 = Rs. 45 Loss per metre = Rs. 5 CP per metre = 45 + 5 = Rs. 50.Answer: D
Question: From a group of 4 boys and 4 girls, 6 children are to be randomly selected. What is the probability that 3 boys and 3 girls will be selected?
A.1/2
B.2/3
C.3/5
D.4/7
Answer: D.4/7
Explanation: The total number of ways to choose 6 children from 8 is 8C6 = 28
The number of ways to choose 3 boys and 3 girls is 4C3*4C3 = 4*4 = 16
P(3 boys and 3 girls) = 16/28 = 4/7
The answer is D.
Question: A man is walking at a speed of 6 km per hour. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 12 km.
A.3 hr
B.5 hr 42 min
C.4 hrs. 10 min
D.3 hr. 6 min
Answer: D.3 hr. 6 min
Explanation: Explanation:
For 12 km he takes 11 times rest.
11 x 6 = 66 minutes rest
= 1 hr 6 min
For 12 km, 2 hr is required + rest
= 2 + 1 hr 6m = 3 hr. 6 min
Answer: Option D
Question: If the number 52,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
A.6
B.5
C.3
D.1
Answer: D.1
Explanation: Maybe you are misreading the question but it is saying that 52,1n9 is a multiple of 3 and not necessarily n is a multiple of 3.
The sum of the digits 5 + 2 + 1 + n + 9 must be a multiple of 3
17 + n must be a multiple of 3
substituting the numbers n must = 1
ANSWER:D
Question: A train 500 m long passed a pole in 50 sec. How long will it take to pass a platform 1000 m long?
A.28 sec
B.89 sec
C.85 sec
D.150 sec
Answer: D.150 sec
Explanation: Speed = 500/50 = 10 m/sec.
Required time = (500 + 1000)/10
= 150 sec.
Answer:D
Question: 24 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
A.None of these
B.552
C.512
D.524
Answer: B.552
Explanation: Explanation :
He can go in any bus out of the 24 buses.
Hence He can go in 24 ways.
Since he can not come back in the same bus that he used for travelling,
He can return in 23 ways.
Total number of ways = 24x 23 = 552. Answer : Option B
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units digit of (a+2)^2?
A.1
B.3
C.5
D.6
Answer: A.1
Explanation: For unit digit of a^2 to be 9...unit digit of a has to be 3 or 7...
Now for unit digit of (a+1)^2 to be 4..unit digit of a has to be 1 or 7....
From the above two conditions, unit value of a has to be 7, which will satisfy both the conditions...
Now id unit digit of a is 7, unit digit of (a+2)^2 hast to be 1.
ANSWER:A
Question: Simplify: 3005-3000+10
A.2505
B.2509
C.2705
D.2508
Answer: C.2705
Explanation: 3005-3000+10
=3005-(3000/10)
=3005-300
=2705.
Answer is C
Question: A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A.10
B.100
C.50
D.200
Answer: C.50
Explanation: 2 kmph =	(2 x	5/18	)m/sec =	5/9	m/sec.
4 kmph =	(4 x	5/18	)m/sec =	10/9	m/sec.
Let the length of the train be x metres and its speed by y m/sec.
Then,(x/y -5/9)= 9 and(x/y -10/9)= 10.
9y - 5 = x and 10(9y - 10) = 9x
=> 9y - x = 5 and 90y - 9x = 100.
On solving, we get: x = 50.
Therefore Length of the train is 50 m.
Answer: C
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
A.7
B.6
C.5
D.4
Answer: B.6
Explanation: There are five letters in the given word.
Consider 5 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.
The number of words = 3! = 6.
Answer: B
Question: Group A has 3 boys and 2 girls, group B has 4 boys and 4 girls and group C has 3 boys and 3 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
A.2/5
B.1/18
C.9/5
D.2/3
Answer: A.2/5
Explanation: Group A has 3 boys and 2 girls; 5
Group B has 4 boys and 4 girls; 8
Group C has 3 boys and 3 girls. 6
Selected group should have one girl and two boys.
Girl from A, boy from B, boy from C: 2/5*4/8*3/6 = 1/10;
Boy from A, girl from B, boy from C: 3/5*4/8*3/6 = 3/20;
Boy from A, boy from B, girl from C: 3/5*4/8*3/6 = 6/40.
Sum = 1/10 + 3/20 + 6/40 = 2/5.
Answer: A.
Question: An engineer undertakes a project to build a road 15 km long in 300 days and employs 50 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
A.a. 43
B.b. 45
C.c. 75
D.d. 68
Answer: C.c. 75
Explanation: 50 workers working already
Let x be the total men required to finish the task in next 200 days
2.5 km done hence remaining is 12.5 km
Also, work has to be completed in next 200 days (300 - 100 = 200)
We know that, proportion of men to distance is direct proportion
and, proportion of men to days is inverse proportion
Hence, X = (50 * 12.5 * 100) / (2.5 * 200)
thus, X = 125
Thus, more men needed to finish the task = 125-50=75
hence Answer is C
Question: A 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.300m
B.278m
C.350m
D.228m
Answer: A.300m
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 36
= 50/3
3(x + 300)
= 1800 è x
= 300m.
Answer:A
Question: A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
A.1/6
B.1/8
C.2/3
D.1/3
Answer: B.1/8
Explanation: O = 2A
P = 4O = 8A
A = P/8
The answer is B.
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
A.15√2 cm
B.13√2 cm
C.16√2 cm
D.17√2 cm
Answer: B.13√2 cm
Explanation: 4a = 48 4a = 20
a = 12 a = 5
a2 = 144 a2 = 25
Combined area = a2 = 169 => a = 13
d = 13√2
ANSWER:B
Question: How many positive integers except zero that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 78?
A.5000
B.4096
C.6560
D.4095
Answer: D.4095
Explanation: According to what i have read - it is always better to assume natural numbers beginning from 01 onward (for the gmat) unless otherwise stated. Assuming that to be the case we can sub divide the problem into :
A) Four digit Numbers : _ _ _ _ , The ones place - hundreds place can be filled by any one of the 8 numbers given (the problem speaks nothing about NOT REPEATING the numbers so we have to assume that they can be repeated) the thousands place can be filled by any number except0.. This gives us 7 x 8 x 8 x 8 = 3584
B) Three digit Numbers : _ _ _ , The ones place - tens Place can be filled by any one of the 8 numbers given ( the problem speaks nothing about NOT REPEATING the numbers so we have to assume that they can be repeated) , the hundreds place can be filled by only 7 of the given 8 numbers (If we use0we will end up with a two digit number ). This gives us 7 x 8 x 8 = 448
C) Two digit numbers : _ _ , The ones place can be filled up by any one of the 8 numbers given , and the tens place by any 7 of the 8 ... This gives us 7 x 8 = 56
D) Assuming that zero is not a natural number , we have seven different possibilities for the one digit numbers . 7
Add A + B + C + D , This gives us 3584 + 448 + 56 + 7 = 4095 (D)
Now let us assume that ZERO is a NATURAL number (as some mathematicians do) ... A thru C is not effected by this assumption as the resultant would have meant that a four number digit with a zero at the beginning would have effectively made it a three digit no. , and a 0 to begin a three digit number would make it a two digit number etc ... The only difference including ZERO to be a natural number would have made for D , in that it would have given it 8 possibilities instead of 7 ... Which would have added 1 to our total making it 4096. Simply by looking at the answer choices we can determine that the test maker wanted natural numbers to begin from 1 and not from 0 ( as per the answer choices) ..
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 28 liters of forest green to change it to Verdant green?
A.28/3
B.13/6
C.3
D.4
Answer: A.28/3
Explanation: 28 liter of Forset green have 16 liter of blue and 12 liter of yellow
Suppose we add x liter of yellow to make it a verdant green so the ratio of blue to yellow in verdant green is ¾ so the equation is
Blue/yellow =16/(12+x) = ¾
36+3x=64 => x =28/3
Answer : A