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 HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively
HCF of a and b = 12
Numbers = 12x and 12y where x and y are prime to each other.
a > b > 12
a = 36; b = 24
#2. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is
#3. 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
#4. 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
#5. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
Let the numbers be 12x and
12y where x and y are prime to
each other.
LCM = 12xy
12xy = 924
xy = 77
Possible pairs = (1,77) and (7,11)
#6. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?
#7. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :
#8. 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?
#9. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :
#10. 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?
#11. 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 :
#12. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, then he reaches 10 minutes late. Find the distance of his school from his house :
#13. 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 :
#14. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is
#15. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?
#16. 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 ?
#17. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :
#18. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?
#19. If the product of first 50 positive consecutive integers be divisible by $ 7^n $ , where n is an integer, then the largest possible value of n is :
#20. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :
#21. If 2 + x$ \sqrt3 $ =$ \frac{1}{2+\sqrt3} $ then the simplest value of x is :
#22. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is
#23. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :
#24. 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)
#25. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :
#26. 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 :
#27. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $ 2\frac12 $ years its present worth would be Rs 1016. The rate percent is :
#28. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?
#29. $ \{(-2)^{(-2)}\}^{(-2)} $ is equal to
#30. 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?
#31. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $
#32. 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 :
#33. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is
#34. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :
#35. 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
#36. 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 :
#37. A student was asked to multiply a given number by $ \frac{8}{17} $ Instead, he divided the number by $ \frac{8}{17} $ His answer was 225 more than the correct answer. The given number was :
#38. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ?
As the height of each stack is same, the required number of books in each stack
HCF of 84, 90 and 120
84 = 2 × 2 × 3 × 7, 90 = 2 × 3 × 3 × 5, 120 = 2 × 2 × 2 × 3 × 5
HCF = 2 × 3 = 6
#39. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $ \frac34 $ of the cistern is already full of water?
#40. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :
#41. The simple interest on a sum after 4 years is $ \frac15 $ of the sum. The rate of interest per annum is :
#42. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#43. 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 :
#44. 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
#45. A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs 72 more. The sum is :
#46. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?
#47. 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?
#48. $ \sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334} $ is equal to
#49. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
#50. 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?
