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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#1. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?
#2. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :
#3. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working 
hours a day take to complete the same work?
#4. In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :
#5. In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4 : 7and 2 : 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is :
#6. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :
#7. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :
#8. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?
#9. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :
#10. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?
#11. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#12. Divide 50 into two parts so that the sum of their reciprocals is 
#13. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?
#14. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?
#15. The greatest among the following numbers 
is
#16. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#17. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is
#18. A can do a piece of work in 6 days. B is 25% more efficient than A. How long would B alone take to finish this work?
#19. 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
#20. 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 :
#21. A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :
#22. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?
#23. 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?
#24. The total number of prime factors in 
is
#25. The value of (
is
#26. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :
#27. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :
#28. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#29. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :
#30. 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.
#31. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?
#32. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :
#33. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)
#34. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?
#35. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :
#36. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :
#37. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
#38. The least number which must be added to 1728 to make it a perfect square is :
#39. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#40. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of 
is
#41. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?
#42. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :
#43. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#44. A student was asked to multiply a given number by 
Instead, he divided the number by His answer was 225 more than the correct answer. The given number was :
#45. (49)15 – 1 is exactly divisible by
#46. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :
#47. 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 :
#48. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is
#49. On selling an article for Rs 651, there is a loss of 7%. The cost price of that article is :
#50. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?
