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Quantitative Aptitude
Q1. If the sum of two numbers is 72 and their HCF and LCM are 6 and 210 respectively, find the sum of their reciprocals.
(A) 2/35
(B) 6/29
(C) 7/40
(D) 8/35
Answer: 2/35
Q2. How many numbers between 1000 and 5000 are exactly divisible by 225?
(A) 16
(B) 18
(C) 19
(D) 12
Answer: 18
Q3. 1/30 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110 + 1/132 + 1/156 + 1/182 is equal to
(A) 9/70
(B) 7/51
(C) 18/49
(D) 9/14
Answer: 9/70
Q4. The average of 20 numbers is 24. The average of the first 12 numbers is 22 and the average of the next 7 numbers is 20. Find the last number.
(A) 40
(B) 19
(C) 76
(D) 38
Answer: 76
Q5. In a mixture of 720 liters, the ratio of water to milk is 4:5. The amount of water needed to be added to the mixture to make the ratio of water to milk 3:2 is
(A) 280 liters
(B) 200 liters
(C) 320 liters
(D) 400 liters
Answer: 280 liters
Q6. The difference of two numbers is 3320. If (6 1/2)% of one number is equal to (8 1/2)% of another number, the smaller number is
(A) 16030
(B) 10970
(C) 10790
(D) 10630
Answer: 10790
Q7. A person sold two books at Rs. 360 each. His profit on one was 20% and loss on another was 20%. What is the gain or loss on the whole transaction?
(A) Rs. 30
(B) Rs. 60
(C) Rs. 45
(D) Rs. 80
Answer: Rs. 30
Q8. If on a marked price, the difference between the selling price at a discount of 30% and that at two successive discounts of 20% and 10% is Rs. 144, find the marked price of the article.
(A) Rs. 3600
(B) Rs. 7200
(C) Rs. 4800
(D) Rs. 5400
Answer: Rs. 7200
Q9. The simple interest on a sum of money at 5% per annum for 2 years is 120. Find the compound interest on the same sum for the same period.
(A) Rs. 246
(B) Rs. 142
(C) Rs. 123
(D) Rs. 132
Answer: Rs. 123
Q10. A and B can do a work in 16 days, B and C can do the same work in 24 days, and A and C can do the same work in 12 days. In how many days can A alone do the work?
(A) 10 2/5 days
(B) 15 1/5 days
(C) 16 1/5 days
(D) 19 1/5 days
Answer: 19 1/5 days
Q11. Pipes P and Q can fill a tank in 12 hours and 15 hours respectively and R can empty it in 10 hours. If all three pipes are opened at 4 am, at what time will half of the tank be filled?
(A) 2 am
(B) 4 pm
(C) 4 am
(D) 2 pm
Answer: 2 pm
Q12. A train passes a 100-metre-long platform in 12 seconds and a man standing on the platform in 8 seconds. Find the speed of the train?
(A) 75 kmph
(B) 90 kmph
(C) 60 kmph
(D) 45 kmph
Answer: 90 kmph
Q13. A swimmer swims from a point A against a current for 10 minutes and then swims back along the current for next 10 minutes and comes to point B. If the distance between A and B is 200 meters, find the speed of the current (in kmph)?
(A) 0.6
(B) 0.5
(C) 0.4
(D) 0.9
Answer: 0.6
Q14. Find the value of the series [12 + 22 + 32 +………+202].
(A) 5740
(B) 5310
(C) 1435
(D) 2870
Answer: 2870
Q15. A trader wishes to gain 25% after allowing 20% discount on the market price to his customers. What per cent higher than the cost price should he mark his goods?
(A) 45%
(B) 33%
(C) 56 1/4%
(D) 62 1/2%
Answer: 56 1/4%
Q16. The ratio of present age of two brothers 1 : 2 and 5 years back the ratio was 1 : 3. What will be the ratio of their age after 5 years?
(A) 1 : 4
(B) 2 : 3
(C) 3 : 5
(D) 5 : 6
Answer: 3 : 5
Q17. The average of 11 numbers is 63. If the average of first six numbers is 60 and the last six numbers is 65, then the 6th numbers is
(A) 57
(B) 60
(C) 62
(D) 64
Answer: 57
Q18. If √3 = 1.7321, the value of √192-1/2√48-√75, correct to 3 places of decimal, is
(A) 8.661
(B) 4.331
(C) 1.7321
(D) -1.732
Answer: 1.7321
Q19. An interior angle of a regular polygon is 10 times its exterior angle. Find the number of sides of the polygon?
(A) 20
(B) 22
(C) 12
(D) 24
Answer: 22
Q20. The diagonal of a square is 5√2 cm. The diagonal of another square whose area is double the first square is
(A) 15 cm
(B) 5 cm
(C) 12 cm
(D) 10cm
Answer: 10cm
Q21. The area of a rhombus is 300 cm2. The length of one of its diagonals is 15 cm. The length of another diagonal is
(A) 40 cm
(B) 60 cm
(C) 45 cm
(D) 120 cm
Answer: 40 cm
Q22. If x : y = 2 : 1, then (5x2-13xy+6y2) is equal to
(A) 3/4
(B) 4/3
(C) 0
(D) 55/4
Answer: 0
Q23. If x + y + z = 13 and x2 +y2 z2 =69, then xy+z (x+y) is equal to
(A) 70
(B) 40
(C) 50
(D) 60
Answer: 50
Q24. The difference of two numbers is 20% of the larger number. If the smaller number is 20, the larger number is
(A) 25
(B) 45
(C) 50
(D) 80
Answer: 25
Q25. The ratio of the areas of the circumcircle and the the incircle of an equilateral triangle is
(A) 2 : 1
(B) 4 : 1
(C) 8 : 1
(D) 3 : 2
Answer: 4 : 1