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. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#2. A sum of money becomes $ \frac76 $ of itself in 3 years at a certain rate of simple interest. The rate per annum is :
#3. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#4. Two numbers are in the ratio 2: 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is :
#5. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice
#6. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :
#7. 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 :
#8. 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).
#9. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :
#10. A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minute, then the distance covered by the thief before he is over-powered is :
#11. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in
#12. 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
#13. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :
#14. 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.
#15. 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 ?
#16. A milkman makes 20% profit by selling milk mixed with water at Rs 9 per litre. If the cost price of 1 litre pure milk is Rs 10, then the ratio of milk and water in the said mixture is :
#17. If $ (125)^{2/3}\times (625)^{1/4} = 5^{x} $, then the value of x is
#18. 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 :
#19. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?
#20. 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?
#21. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.
#22. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is
#23. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#24. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is
#25. The sum of a natural number and its square equals the product of the first three prime numbers. The number is
#26. 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 :
#27. 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
#28. 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 ?
#29.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#30. A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr?
#31. 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 :
#32. 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 :
#33. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :
#34. 25% of annual salary of A is equal to eighty percent of annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lac. What is the monthly salary of A?
#35. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :
#36. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :
#37. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
#38. 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
#39. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :
#40. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of
#41. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :
#42. The least number, that must be added to 1720 so as to obtain a perfect cube is :
#43. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :
#44. $ \frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}} $ is equal to
#45. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period
#46. 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 :
#47. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is
#48. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#49. Arvind spends 75% of his income and saves the rest. His income is increased by 20% and he increases his expenditure by 10%. Then the increase in savings in percentage is
#50. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :
