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. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#2. 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 :
#3. The value of x in the sequence 1, 2, 6, 24, x is
#4. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is
#5. 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 ?
#6. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.
#7. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#8. Find the sum of the first five terms of the following series.$ \frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10} $ +………+…….
#9. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :
#10. 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 :
#11. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :
#12. $ \frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}} $ is equal to
#13. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is
#14. 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 :
#15. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is
#16. The simple interest on a sum after 4 years is $ \frac15 $ of the sum. The rate of interest per annum is :
#17. If the average of eight consecutive even numbers be 93, then the greatest number among them is :
#18. 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 :
#19. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :
#20. If 28 men complete $ \frac78 $ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :
#21. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :
#22. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :
#23. 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
#24. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :
#25. 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} $
#26. Unit digit in (264)102 + (264)103 is :
#27. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?
#28. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :
#29. A man with $ \frac35 $ of his usual speed reaches the destination $ 2\frac12 $ hours late. Find his usual time to reach the destination .
#30. The sum of a natural number and its square equals the product of the first three prime numbers. The number is
#31. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#32. 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 :
#33. By selling an article for Rs 69, there is a loss of 8%, when the article is sold for Rs 78, the gain or loss per cent is :
#34. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?
#35. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#36. 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 :
#37. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is
#38. 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} $
#39. The compound interest on a certain sum of money at a certain rate for 2 years is Rs 40.80 and the simple interest on the same sum is Rs 40 at the same rate and for the same time. The rate of interest is :
#40. The total number of prime factors in $ 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 $ is
#41. 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
#42. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is
#43. 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?
#44. 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 :
#45. 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 :
#46. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :
#47. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#48. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?
#49. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :
#50. Which term of the series 72, 63, 54 … is zero?
