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. On selling 17 balls at Rs 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs) of a ball is
#2. Given that 12 + 22 + 32 + … + 202 = 2870. Then the value of (22 + 42 + 62 + … + 402 ) 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 compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :
#5. The square of a natural number subtracted from its cube is 48. The number is
#6. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :
#7. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#8. $ \{(-2)^{(-2)}\}^{(-2)} $ is equal to
#9. 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?
#10. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?
#11. If a number is as much greater than 31 as it is less than 75, then the number is :
#12. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :
#13. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :
#14. The smallest among$ \sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3 $ is
#15. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :
#16. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
#17. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :
#18. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :
#19. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period
#20. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is
#21. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $ 2\frac12 $ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?
#22. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#23. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?
#24. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is
#25. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is :
#26. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#27. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :
#28. A man rows 750 m in 600 seconds against the stream and returns in $ 7\frac1 2 $ minutes. Its rowing speed in still water is (in km/hr).
#29. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg and that of 2 other students is 55 kg; then the average weight of all the students is :
#30. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :
#31. 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} $
#32. The HCF of two numbers is 8. Which one of the following can never be their LCM ?
HCF of two numbers is 8.This means 8 is a factor common to both the numbers. LCM is common multiple for the two numbers, it is divisible by the two numbers. So, the required answer = 60
#33. If $ \sqrt2 $ = 1.4142….. is given, then the value of $ \frac{7}{(3+{\sqrt2})} $correct up to two decimal places is :
#34. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?
#35. 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?
#36. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to
#37. The average age of 30 students is 9 years. If the age of their teacher is included, the average age becomes 10 years. The age of the teacher (in years) is:
#38. The least number which must be added to 1728 to make it a perfect square is :
#39. 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
#40. 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 :
#41. In a school $ \frac{1}{10} $ of the boys are same in number as $ \frac14 $ of the girls and $ \frac58 $ of the girls are same in number as $ \frac14 $ of the boys. The ratio of the boys to girls in that school is :
#42. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :
#43. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :
#44. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?
#45. 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 :
#46. 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.
#47. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :
#48. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :
#49. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?
#50. If x : y = 3 : 4 and y : z = 3 : 4, then $ \frac {x+y+z} {3z} $ is equal to :
