Free Quantitative Aptitude questions with answers for MBA CET

Arithmetic, algebra, geometry, number systems, permutation and combination, probability and data interpretation - the quant questions that decide your MBA CET percentile. These 117 questions are also useful for CAT, MAT and ATMA. Tap “Show answer” under any question for the correct option and the explanation.

Question 61
? , 237, 366, 473, 547, 577
- (A)101
- (B)105
- (C)78
- (D)97
- (E)None of these
Show answer and explanation
Correct answer: (D) 97
Going from the right, the differences are 30, 74, 107, 129, and these differ by 44, 33, 22, i.e. they fall by multiples of 11. The next difference is 129 + 11 = 140, so the first term is 237 - 140 = 97.
Question 62
A vessel contains 60 lit of pure honey. If m lit of pure honey is replaced with n lit of water then ratio of honey to water becomes 10: 1 and if 2m lit of pure honey were replaced by n lit of water, then ratio of honey to water becomes 8: 1. Find the value of ‘m + n’?
- (A)10
- (B)12
- (C)15
- (D)30
- (E)20
Show answer and explanation
Correct answer: (C) 15
Removing m litres of honey and adding n litres of water: (60 - m) / n = 10 and (60 - 2m) / n = 8. So 60 - m = 10n and 60 - 2m = 8n. Substituting m = 60 - 10n gives 12n = 60, so n = 5 and m = 10. m + n = 15.
Question 63
The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
- (A)Rs. 32,500
- (B)Rs. 48,750
- (C)Rs. 76,375
- (D)Rs. 81,250
- (E)Rs. 72,375
Show answer and explanation
Correct answer: (C) Rs. 76,375
Insured amount = 85% of 3,25,000 = 2,76,250. The company paid 90% of it = 2,48,625. Difference = 3,25,000 - 2,48,625 = Rs. 76,375.
Question 64
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
- (A)Rs. 8000
- (B)Rs. 10,000
- (C)Rs. 12,000
- (D)Rs. 10,500
- (E)Rs. 14,000
Show answer and explanation
Correct answer: (A) Rs. 8000
Interest = P x (6% x 3 + 9% x 5 + 13% x 3) = P x (18% + 45% + 39%) = 102% of P (the 13% rate applies for the last 3 years, from year 8 to year 11). 102% of P = 8160, so P = Rs. 8000.
Question 65
In how many different ways can the letters of the word ‘JUDGE’ be arranged in such a way that the vowels always come together?
- (A)48
- (B)120
- (C)124
- (D)160
- (E)240
Show answer and explanation
Correct answer: (A) 48
Treat the vowels U and E as one unit. The units J, D, G and (UE) can be arranged in 4! = 24 ways, and U and E can be arranged within the unit in 2! = 2 ways. Total = 24 x 2 = 48.
Question 66
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
- (A)32
- (B)48
- (C)64
- (D)96
- (E)128
Show answer and explanation
Correct answer: (C) 64
Total ways to draw 3 balls from 9 = 84. Ways with no black ball (from the other 6) = 20. At least one black ball = 84 - 20 = 64.
Question 67
(?)² + 17.93% of 4249.9 + 14.9% of 440 = (9.9)³
- (A)19
- (B)13
- (C)8
- (D)21
- (E)23
Show answer and explanation
Correct answer: (B) 13
17.93% of 4249.9 is about 18% of 4250 = 765 and 14.9% of 440 is about 15% of 440 = 66. (9.9)^3 is about 1000. So ?^2 = 1000 - 765 - 66 = 169 and ? = 13.
Question 68
575.9/? + 274.87% 𝑜𝑓 495.8 + √255.9 = 25.009% 𝑜𝑓 5583.9
- (A)24
- (B)28
- (C)48
- (D)44
- (E)None of these
Show answer and explanation
Correct answer: (E) None of these
575.9 / ? + 274.87% of 495.8 + root 255.9 = 25.009% of 5583.9, about 576 / ? + 1364 + 16 = 1396. 576 / ? = 16, so ? = 36. 36 is not among the options, so the answer is 'None of these'.
Question 69
? % of 5199.87 – (37.93)² + (15.9)² = (35.91)² - 39.9
- (A)37
- (B)40
- (C)56
- (D)60
- (E)47
Show answer and explanation
Correct answer: (E) 47
(37.93)^2 is about 1439, (15.9)^2 is about 253 and (35.91)^2 is about 1290. So ?% of 5199.87 = 1290 - 39.9 + 1439 - 253 = 2436, which is about 47% of 5200.
Question 70
156.02% of 450 + 133.01% of 599.98 = 375.02% of ?
- (A)300
- (B)425
- (C)475
- (D)400
- (E)525
Show answer and explanation
Correct answer: (D) 400
156.02% of 450 is about 702 and 133.01% of 599.98 is about 798. The sum is 1500. 375.02% of ? = 1500, so ? = 1500 / 3.75 = 400.
Question 71
I. x² − 8√3x + 45 = 0 II. y² − √2y − 24 = 0
- (A)if x > y
- (B)if x ≥ y
- (C)if x < y
- (D)if x ≤ y
- (E)if x = y or no relation can be established between x and y.
Show answer and explanation
Correct answer: (E) if x = y or no relation can be established between x and y.
I: x^2 - 8 root 3 x + 45 = 0 gives x = 5 root 3 or 3 root 3, i.e. about 8.66 or 5.20. II: y^2 - root 2 y - 24 = 0 gives y = 4 root 2 or -3 root 2, i.e. about 5.66 or -4.24. One x is smaller than y = 5.66 and the other is larger, so no relation can be established.
Question 72
I. 12x2 − 17x + 6 = 0 II. 20y2 − 31y + 12 = 0
- (A)if x > y
- (B)if x ≥ y
- (C)if x < y
- (D)if x ≤ y
- (E)if x = y or no relation can be established between x and y.
Show answer and explanation
Correct answer: (D) if x ≤ y
I: 12x^2 - 17x + 6 = 0 gives x = 3/4 or 2/3. II: 20y^2 - 31y + 12 = 0 gives y = 4/5 or 3/4. Every x is less than or equal to every y (x = 3/4 equals y = 3/4 only), so x <= y.
Question 73
I. 35x2 − 53x + 20 = 0 II. 56y2 − 97y + 42 = 0
- (A)if x > y
- (B)if x ≥ y
- (C)if x < y
- (D)if x ≤ y
- (E)if x = y or no relation can be established between x and y.
Show answer and explanation
Correct answer: (C) if x < y
I: 35x^2 - 53x + 20 = 0 gives x = 4/5 or 5/7. II: 56y^2 - 97y + 42 = 0 gives y = 7/8 or 6/7. The largest x is 0.8 and the smallest y is 0.857, so x < y.
Question 74
I. x² − 5x − 14 = 0 II. y² + 7y + 10 = 0
- (A)if x > y
- (B)if x ≥ y
- (C)if x < y
- (D)if x ≤ y
- (E)if x = y or no relation can be established between x and y.
Show answer and explanation
Correct answer: (B) if x ≥ y
I: x^2 - 5x - 14 = 0 gives x = 7 or -2. II: y^2 + 7y + 10 = 0 gives y = -2 or -5. x = 7 is greater than both y values, and x = -2 is equal to or greater than both, so x >= y.
Question 75
I. 14x2 + 11x − 15 = 0 II. 20y2 − 31y + 12 = 0
- (A)if x > y
- (B)if x ≥ y
- (C)if x < y
- (D)if x ≤ y
- (E)if x = y or no relation can be established between x and y.
Show answer and explanation
Correct answer: (C) if x < y
I: 14x^2 + 11x - 15 = 0 gives x = 5/7 or -3/2. II: 20y^2 - 31y + 12 = 0 gives y = 4/5 or 3/4. The largest x is 0.714, which is below the smallest y of 0.75, so x < y.
Question 76
The ratio of efficiency of Richa to that of Dipti is 3 : 5. If Richa and Raghu together can do the same work in 12 days and Raghu alone can complete it in 18 days then in how much time Dipti alone will complete the same work?
- (A)20 days
- (B)21.6 days
- (C)18 days
- (D)24.6 days
- (E)25.6 days
Show answer and explanation
Correct answer: (B) 21.6 days
Raghu's one-day work = 1/18. Richa + Raghu = 1/12, so Richa = 1/12 - 1/18 = 1/36. Dipti is 5/3 times as efficient as Richa: 5/3 x 1/36 = 5/108 per day. Dipti alone takes 108 / 5 = 21.6 days.
Question 77
The ratio of present ages of P, Q and R is 3 : 4 : 5. After 4 years, the average ages of all the three will be 24 years. What was the difference between ages of Q and R, 6 years before?
- (A)5 years
- (B)6 years
- (C)8 years
- (D)10 years
- (E)12 years
Show answer and explanation
Correct answer: (A) 5 years
After 4 years the average age is 24, so the total is 72 and the present total is 72 - 12 = 60. The parts are 3 + 4 + 5 = 12, so each part is 5: P = 15, Q = 20, R = 25. The difference between Q and R is 5 years, and it does not change with time, so it was 5 years six years ago too.
Question 78
There is a 120 litre mixture of alcohol and water. The ratio of alcohol to water is 7 : 5. A shopkeeper mixes a certain amount of water in order to make the ratio of alcohol to water 5 : 6. Find the new quantity of water is what percentage of original quantity of water in the mixture?
- (A)168%
- (B)175%
- (C)160%
- (D)178%
- (E)172%
Show answer and explanation
Correct answer: (A) 168%
Alcohol = 120 x 7/12 = 70 and water = 50. Let the water added make the ratio 5 : 6: 70 / new water = 5 / 6, so new water = 84. 84 / 50 = 168% of the original water.
Question 79
The cost price of a T.V is 72% of marked price of a fridge. The shopkeeper allows 25% discount on marked price of fridge and sells it at a profit of 20%. If cost price of the fridge is Rs. 5,000 then what is the cost price of T.V.?
- (A)Rs. 5,000
- (B)Rs. 6,460
- (C)Rs. 5,760
- (D)Rs. 5,680
- (E)Rs. 6,870
Show answer and explanation
Correct answer: (C) Rs. 5,760
The fridge is sold at a 20% profit on its cost of Rs. 5,000, so the selling price = Rs. 6,000. That is 75% of the marked price, so the marked price = Rs. 8,000. The TV costs 72% of Rs. 8,000 = Rs. 5,760.
Question 80
In an election 8% of the voters did not cast their votes. In this election, there were only two candidates. The winner got 48% of the total votes and defeated his opponent by 1200 votes. Find the total number of voters in the election?
- (A)20000
- (B)30000
- (C)35000
- (D)25000
- (E)36000
Show answer and explanation
Correct answer: (B) 30000
8% of the voters did not vote, so 92% voted. The winner got 48% of all voters and the loser the remaining 44%. The difference of 4% of the voters is 1200, so the number of voters = 1200 / 0.04 = 30000. (The winner's 48% must be a share of all voters, not of votes cast, since 48% of votes cast would not win a two-way contest.)

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