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
Immediate display of Answer and Solution
New Practice of 50 Questions in every attempt
Results
#1. 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
#2. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?
#3. 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?
#4. 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
#5. 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 :
#6. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :
#7. 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 :
#8. By how much does $ 5\sqrt7-2\sqrt5 $ exceed $ 3\sqrt7-4\sqrt5 $ ?
#9. The value of $ 3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] $is
#10. 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 :
#11. If a number is as much greater than 31 as it is less than 75, then the number is :
#12. 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 :
#13. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127
#14. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:
#15. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?
Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75
#16. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?
#17. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :
#18. The fourth proportional to 0.12, 0.21, 8 is :
#19. If X = $ (0.25)^{\frac12} $, Y = $ (0.4)^2 $, Z =$ (0.216)^{\frac13} $, then
#20. Given A is 50% larger than C and B is 25% larger than C, then A is what per cent larger than B?
#21. if $ (1101)^2 $ = 12122101, then find the value of $ \sqrt{121.2201} $
#22. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :
#23. 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
#24. Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are
Numbers = x , 2 x and 3 x (let)
Their HCF = x = 12
Numbers = 12, 24 and 36
#25. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :
#26. 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?
#27. 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 :
#28. 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
#29. 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 :
#30. 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?
#31. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :
#32. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:
#33. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :
#34. The ratio of 252.5 : 53 is same as :
#35. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#36. 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 :
#37. Simplify: $ \frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69} $
#38. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#39. LCM of 12 and 16 Prime factorisation of $ 12 = 2^3 $ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24
[latex]e^{i pi} 1 = 0[/latex]
[latex]e^{i pi} 1 = 0[/latex]
[latex]e^{i pi} 1 = 0[/latex]
#40. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#41. The number 96 – 11 when divided by 8 would leave a remainder of
#42. Find the unit digit in the product
(4387)245 × (621)72
#43. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is :
#44. Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Krishnan on the original price was :
#45. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#46. The mean value of 20 observations was found to be 75, but later on it was detected that 97 was misread as 79. Find the correct mean.
#47. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :
#48. 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 :
#49. 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 :
#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 :
