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. 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 :
#2. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is
When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60
#3. How many numbers between 400 and 800 are divisible by 4, 5 and 6?
#4. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is
Let the numbers be 2x, 3x and 4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
#5. At what rate percent per annum will the simple interest on a sum of money be $ \frac25 $ of the amount in 10 years ?
#6. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :
#7. $ \sqrt{\frac{0.49}{0.25}} $ +$ \sqrt{\frac{0.81}{0.36}} $ is equal to
#8. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :
#9. A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?
#10. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :
#11. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#12. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
#13. the simplified value of $ \sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}} $ is
#14. 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 :
#15. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :
#16. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :
#17. 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?
#18. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is
#19. (49)15 – 1 is exactly divisible by
#20. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :
#21. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $ 2\frac12 $ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?
#22. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :
#23. A man with $ \frac35 $ of his usual speed reaches the destination $ 2\frac12 $ hours late. Find his usual time to reach the destination .
#24. The ratio of 252.5 : 53 is same as :
#25. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49
#26. 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 :
#27. The simple interest on a sum after 4 years is $ \frac15 $ of the sum. The rate of interest per annum is :
#28. The sum 5 + 6 + 7 + 8 + … + 19 is equal to
#29. Find the value of
52 + 62 +72 … + 102
#30. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#31. 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 :
#32. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :
#33. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#34. The simple interest on Rs 7300 from 11 May 1987 to 10 September 1987 (both days included) at 5% per annum is :
#35. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :
#36. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is
#37. 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?
#38. 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?
#39. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :
#40. Which of the following is the largest fraction?
$ \frac67, \frac56, \frac78, \frac45 $
#41. If 28 men complete $ \frac78 $ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :
#42. 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.
#43. The value of $ \frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04} $is
#44. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of
#45. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at
#46. 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 ?
#47. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :
#48. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
#49. If 120 is 20% of a number, then 120% of that number will be :
#50. The value of $ 3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] $is
