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 simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is
#2. 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.
#3. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $
#4. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.
#5. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?
#6. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is
Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45
#7. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?
#8. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for
#9. If $ (125)^{2/3}\times (625)^{1/4} = 5^{x} $, then the value of x is
#10. A double bed is marked at Rs 7500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price?
#11. In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were
#12. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#13. 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 :
#14. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :
#15. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?
#16. 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 :
#17. 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 :
#18. 1 + 2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to
#19. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is
#20. If the average of eight consecutive even numbers be 93, then the greatest number among them is :
#21. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to
#22. 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 :
#23. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :
#24. 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:
#25. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
#26. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :
#27. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :
#28. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :
#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. 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 :
#31. 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 :
#32. A man rows down a river 15 km in 3 hours with the stream and returns in $ 7\frac1 2 $ hours. The rate at which he swims 26 km downstream is :
#33. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :
#34. 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
#35. 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?
#36. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :
#37. 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 ?
#38. 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 :
#39. When$ (\frac12-\frac14+\frac15-\frac16 $) is divided by $ (\frac25-\frac59+\frac35-\frac{7}{18} $), the result is
#40. The difference between the selling prices of an article at a profit of 15% and at a profit of 10% is Rs 10. The cost price of the article is
#41. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is
#42. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :
#43. One man or two women or three boys can do a piece of work in 88 days. One man, one women and one boy will do it in :
#44. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :
#45. The square root of $ \frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64} $
#46. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is
#47. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :
#48. What is the average of the first six (positive) odd numbers each of which is divisible by 7?
#49. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#50. $ \frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}} $ is equal to
