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. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
#2. The average age of 30 students is 9 years. If the age of their teacher is included, the average age becomes 10 years. The age of the teacher (in years) is:
#3. If $ \sqrt7 = 2.646 $, then the value of $ \frac{1}{\sqrt{28}} $up to three places of decimals is :
#4. Which term of the series 72, 63, 54 … is zero?
#5. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#6. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?
#7. 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?
#8. 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?
#9. 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 :
#10. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#11. 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 :
#12. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?
#13. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :
#14. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $ 7\frac12 $ hours a day take to complete the same work?
#15. The value of is $ 1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}} $
#16. If $ (125)^{2/3}\times (625)^{1/4} = 5^{x} $, then the value of x is
#17. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :
#18. 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
#19. The HCF of two numbers is 8. Which one of the following can never be their LCM ?
HCF of two numbers is 8.This means 8 is a factor common to both the numbers. LCM is common multiple for the two numbers, it is divisible by the two numbers. So, the required answer = 60
#20. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is
#21. 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.
#22. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the market price. His actual profit will be :
#23. 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
#24. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :
#25. Which of the following is the largest fraction?
$ \frac67, \frac56, \frac78, \frac45 $
#26. the simplified value of $ \sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}} $ is
#27. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?
#28. 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 :
#29. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is
#30. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby (in year/s) is :
#31. The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is :
#32. On selling 17 balls at Rs 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs) of a ball is
#33. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $ A^3+B^3 $ is
#34. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :
#35. In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4 : 7and 2 : 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is :
#36. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :
#37. 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:
#38. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :
#39. 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.
#40. At what rate percent per annum will the simple interest on a sum of money be $ \frac25 $ of the amount in 10 years ?
#41. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is
#42. The value of $ 3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}] $ 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. LCM of 12 and 16 Prime factorisation of $ 12 = 2^3 $ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24
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#45. The square of a natural number subtracted from its cube is 48. The number is
#46. 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
#47. 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?
#48. A supply of juice lasts for 35 days. If its use is increased by 40%, then the number of days would the same amount of juice lasts is :
#49. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?
#50. The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’ s current age is
