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. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of 
km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?
#2. By walking at 
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 :
#3. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works 
times as fast as Sunil. The three together can complete the work in :
#4. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of
#5. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?
#6. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is
#7. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs 660. The marked price of the article was :
#8. A man with 
of his usual speed reaches the destination hours late. Find his usual time to reach the destination .
#9. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)
#10. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :
#11. The value of x in the sequence 1, 2, 6, 24, x is
#12. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in
#13. The average of all the odd integers between 2 and 22 is :
#14. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be
#15. The sum of a natural number and its square equals the product of the first three prime numbers. The number is
#16. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :
#17. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :
#18. The simplification of 
up to three places of decimals yields
#19. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :
#20. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :
#21. A boat moves downstream at the rate of 1 km in 
minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
#22. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?
#23. At what rate percent per annum will the simple interest on a sum of money be 
of the amount in 10 years ?
#24. 
is equal to
#25. What will come in place of the question mark (?) in the series? 3, 8, 27, 112, (?), 3396
#26. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :
#27. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?
#28. 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?
#29. the simplified value of 
is
#30. 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?
#31. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?
#32. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is
Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45
#33. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?
#34. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?
#35. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :
#36. Ramesh deposited Rs 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is :
#37. 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 :
#38. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is
#39. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :
#40. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :
#41. 
…….. is equal to
#42. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :
#43. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?
#44. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :
#45. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :
#46. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is
#47. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :
#48. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.
#49. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is
HCF of numbers = 21
Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
Larger number = 21 × 4 = 84
#50. A manufacturer sells an item to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells it to a customer for Rs 15,045 thereby earning a profit of 25%. The cost price of the manufacturer is :
