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. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is
#2. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is
#3. 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?
#4. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#5. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for
#6. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :
#7. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#8. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#9. If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is Rs 6, then the sum is :
#10. The mean of 20 items is 55. If two items such as 45 and 30 are removed, the new mean of the remaining items is :
#11. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :
#12. 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.
#13. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is
#14. (49)15 – 1 is exactly divisible by
#15. Three glasses are filled with a mixture of acid and water in equal volume. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. The contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is :
#16. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#17. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :
#18. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :
#19. 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 :
#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. 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 :
#22. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :
#23. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is
When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60
#24. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is
#25. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?
#26. 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
#27. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?
#28. If the price of a commodity is increased by 50%, by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?
#29. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :
#30. 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
#31. 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 :
#32. The least number which must be added to 1728 to make it a perfect square is :
#33. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
#34. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#35. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :
#36. 553 + 173 – 723 + 201960 is equal to
#37. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?
#38. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#39. 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 :
#40. A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?
#41. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?
#42. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?
#43. 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 :
#44. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#45. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :
#46. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :
#47. The number, whose square is equal to the difference between the squares of 975 and 585 is :
#48. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is
#49. The ratio of cost price and selling price is 5 : 4, the loss percent is :
#50. 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 :
