Quantitative Aptitude Questions with answers and Solutions for SSC CPO- SI in CPMF Exam. Maths MCQs Mock Test for free online practice of SI CAPF Exam.
Practice Set : Mathematics (Quantitative Aptitude)
Questions : 50
Medium : English
Level : SSC CPO SI Exam
All Type and topic MCQs – Solved by short tricks
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New Practice of 50 Questions in every attempt
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#1. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :
#2. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.
#3. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :
#4. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :
#5. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to
#6. By how much does $ 5\sqrt7-2\sqrt5 $ exceed $ 3\sqrt7-4\sqrt5 $ ?
#7. At what percent above the cost price, must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price?
#8. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is
#9. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?
#10. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
#11. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?
#12. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :
#13. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:
#14. The average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is :
#15. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
#16. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .
#17. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $ 1\frac1 2 $ times as fast as Sunil. The three together can complete the work in :
#18. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is
#19. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at
#20. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :
#21. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is :
#22. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :
#23. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :
#24. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is
Clearly, 122 – 2 = 120 and 243 – 3 = 240 are exactly divisible by the required number.
Required number
= HCF of 120 and 240 = 120
#25. $ \frac34 $ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :
#26. $ \sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$…….. is equal to
#27. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :
#28. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :
#29. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?
#30. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :
#31. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is
#32. By walking at $ \frac34 $ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :
#33. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was
Explanation: 16 years ago,
Let us assume that my age was x years.
#34. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :
#35. The mean of 20 items is 55. If two items such as 45 and 30 are removed, the new mean of the remaining items is :
#36. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
#37. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :
#38. Every Sunday, Gin jogs 3 miles. For rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?
#39. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period
#40. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :
#41. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#42. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?
#43. If a number is as much greater than 31 as it is less than 75, then the number is :
#44. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.
#45. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?
#46. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was :
#47. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :
#48. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r)
Required number
= HCF of (989 – 5) and (1327 – 7)
= HCF of 984 and 1320 = 24
HCF = 24
#49. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :
#50. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is
When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60