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 length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :
#2. Two boats A and B start towards each other from two places, which is 108 km apart. Speed of the boat A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after how many hours?
#3. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was :
#4. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :
#5. 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
#6. In a school $ \frac{1}{10} $ of the boys are same in number as $ \frac14 $ of the girls and $ \frac58 $ of the girls are same in number as $ \frac14 $ of the boys. The ratio of the boys to girls in that school is :
#7. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :
#8. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :
#9. The value of $ \frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}} $
#10. The square of a natural number subtracted from its cube is 48. The number is
#11. The ratio of 252.5 : 53 is same as :
#12. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :
#13. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :
#14. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#15. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :
#16. 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?
#17. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is
#18. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#19. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
#20. 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
#21. A student multiplied a number by $ \frac35 $ instead of $ \frac53 $ . What is the percentage error in the calculation?
#22. 461+ 462 + 463 + 464 is divisible by
#23. 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 :
#24. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be.
#25. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to
#26. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#27. The sum of four consecutive even numbers is 748. The smallest among them is
#28. 25% of annual salary of A is equal to eighty percent of annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lac. What is the monthly salary of A?
#29. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :
#30. 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
#31. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is
#32. 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
#33. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is :
#34. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#35. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :
#36. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to
#37. $ \frac34 $ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :
#38. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :
#39. At what percent above the cost price, must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price?
#40. 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?
#41. 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:
#42. 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
#43. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?
#44. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :
#45. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?
#46. The value of x in the sequence 1, 2, 6, 24, x is
#47. 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 :
#48. 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)
#49. 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 :
#50. 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?
