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. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :
#2. $ \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 :
#3. 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 :
#4. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#5. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, then how far is the place?
#6. 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 :
#7. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :
#8. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :
#9. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $ 2\frac12 $ years its present worth would be Rs 1016. The rate percent is :
#10. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
#11. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#12. The value of $ 3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}] $ is
#13. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is
#14. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?
#15. If $ 2^{x-1} + 2^{x+1} =320 $ then the value of x is :
#16. If X = $ (0.25)^{\frac12} $, Y = $ (0.4)^2 $, Z =$ (0.216)^{\frac13} $, then
#17. The missing number of the sequence 0, 2, 8, 18,__, 50 is :
#18. 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 :
#19. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?
#20. The square root of $ \frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64} $
#21. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :
#22. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.
#23. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is :
#24. Insert the missing number 3, 18, 12, 72, 66, 396, ?
#25. The ratio of cost price and selling price is 5 : 4, the loss percent is :
#26. 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 :
#27. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :
#28. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to
#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. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?
#31. Find the largest number of four digits such that on dividing by 15,18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.
#32. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#33. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :
#34. The rate of simple interest per annum of bank being decreased from 5% to$ 3\frac12 $ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :
#35. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :
#36. Find the value of $ \frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14} $
#37. 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 ?
#38. 1 + 2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to
#39. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :
#40. 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 ?
#41. 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 :
#42. Find the simplest value of $ 2\sqrt{50}+\sqrt{18} -\sqrt{72} $ (given$ \sqrt2 = 1.414) $
#43. 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?
#44. The value of ($ 11111)^2 $ is
#45. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is :
#46. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is
Let the numbers be 2x, 3x and 4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
#47. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :
#48. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
#49. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs 837. The reduced price per kg of sugar is :
#50. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :
