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 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)
#2. The value of ![3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]](https://s0.wp.com/latex.php?latex=3%5Cfrac12+-%5B2%5Cfrac14%2B+%5C%7B%7B1%5Cfrac14-%5Cfrac12%281%5Cfrac12-%5Cfrac13-%5Cfrac16%29%7D%5C%7D%5D+&bg=ffffff&fg=000&s=0&c=20201002)
is
#3. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :
#4. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :
#5. Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, then the fourth number is :
#6. 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
#7. 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 :
#8. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :
#9. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?
#10. . 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 :
#11. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :
#12. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :
#13. 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
#14. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#15. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#16. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :
#17. The product of two fractions is 
and their quotient is 
The greater of the fractions is :
#18. The square of a natural number subtracted from its cube is 48. The number is
#19. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is
#20. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :
#21. The sum of a natural number and its square equals the product of the first three prime numbers. The number is
#22. The square root of 
#23. Which of the following number is the greatest of all? 
#24. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?
#25. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :
#26. 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?
#27. 
is equal to
#28. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?
#29. The least perfect square, which is divisible by each of 21, 36 and 66 is
#30. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?
#31. 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 :
#32. A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit %?
#33. If a number is as much greater than 31 as it is less than 75, then the number is :
#34. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?
#35. 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 :
#36. 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?
#37. On selling an article for Rs 651, there is a loss of 7%. The cost price of that article is :
#38. 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
#39. 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 :
#40. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :
#41. 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 :
#42. If x is less than y by 25% then y exceeds x by
#43. 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
#44. Find the value of 
#45. A person can row 
km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :
#46. 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 ?
#47. A man spends Rs. 1800 monthly on an average for the first four months and Rs. 2000 monthly for the next eight months and saves Rs. 5600 a year. His average monthly income is :
#48. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :
#49. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :
#50. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.
