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. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :
#2. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :
#3. 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 :
#4. If a number is as much greater than 31 as it is less than 75, then the number is :
#5. When 75% of a number is added to 75, the result is the same number. Find the number.
#6. 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 :
#7. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?
LCM of 9, 10 and 15 = 90
The multiple of 90 are also divisible by 9, 10 or 15.
21 × 90 = 1890 will be divisible by them.
Now, 1897 will be the number
that will give remainder 7.
Required number = 1936 – 1897 = 39
#8. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :
#9. A student was asked to multiply a given number by $ \frac{8}{17} $ Instead, he divided the number by $ \frac{8}{17} $ His answer was 225 more than the correct answer. The given number was :
#10. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?
#11. 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 $ A^3+B^3 $ is
#12. 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?
#13. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
#14. What is the average of the first six (positive) odd numbers each of which is divisible by 7?
#15. 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 :
#16. 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 :
#17. In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :
#18. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $ 7\frac12 $ hours a day take to complete the same work?
#19. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :
#20. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.
#21. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?
#22. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to
#23. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :
#24. 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 :
#25. 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
#26. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :
#27. When$ (\frac12-\frac14+\frac15-\frac16 $) is divided by $ (\frac25-\frac59+\frac35-\frac{7}{18} $), the result is
#28. The rate of simple interest per annum of bank being decreased from 5% to$ 3\frac12 $ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :
#29. Insert the missing number 3, 18, 12, 72, 66, 396, ?
#30. 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 :
#31. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
#32. 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 :
#33. 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 :
#34. 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 :
#35. 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 :
#36. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :
#37. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :
#38. A sum of money becomes $ \frac76 $ of itself in 3 years at a certain rate of simple interest. The rate per annum is :
#39. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?
#40. The number, whose square is equal to the difference between the squares of 975 and 585 is :
#41. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#42. The total number of prime factors in $ 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 $ is
#43. 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 :
#44. 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 :
#45. 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 .
#46. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#47. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :
#48. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :
#49. Two types of tea costing Rs 180 per kg and Rs 280 per kg should be mixed in the ratio so that the mixture obtained was sold at Rs 320 per kg to earn a profit of 20% is
#50. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :
