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. 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:
#2. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :
#3. 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 :
#4. 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]
#5. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :
#6. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#7. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#8. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?
#9. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)
#10. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :
#11. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?
#12. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is
#13. If 20% of A = 50% of B, then what per cent of A is B?
#14. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is
#15. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit 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. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :
#18.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#19. 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 :
#20. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :
#21. 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 :
#22. $ (\frac12)^{-\frac12} $ is equal to
#23. The simplification of $ \frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5} $up to three places of decimals yields
#24. 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 :
#25. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49
#26. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?
#27. Walking at the rate of 4 kmph a man covers certain distance in 2 hours 45 minutes. Running at a speed of 36.5 kmph the man will cover the same distance in how many minutes?
#28. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#29. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :
#30. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :
#31. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#32. 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 ?
#33. The sum 5 + 6 + 7 + 8 + … + 19 is equal to
#34. 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 :
#35. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#36. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?
#37. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :
#38. $ \sqrt{110\frac14} $ is equal to
#39. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is
#40. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :
#41. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?
#42. If $ (125)^{2/3}\times (625)^{1/4} = 5^{x} $, then the value of x is
#43. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?
#44. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is
#45. By walking at $ \frac34 $ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :
#46. The odd term in the sequence 0, 7, 26, 63, 124, 217 is
#47. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is
#48. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#49. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#50. 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 :
