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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New Practice of 50 Questions in every attempt
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#1. 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 :
#2. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :
#3. The average of all the odd integers between 2 and 22 is :
#4. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :
#5. The rate of simple interest per annum of bank being decreased from 5% to$ 3\frac12 $ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :
#6. Given that 12 + 22 + 32 + … + 202 = 2870. Then the value of (22 + 42 + 62 + … + 402 ) is :
#7. 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 :
#8. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127
#9. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)
#10. 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 :
#11. Which term of the series 72, 63, 54 … is zero?
#12. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#13. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?
#14. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?
#15. If the average of eight consecutive even numbers be 93, then the greatest number among them is :
#16. The average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is :
#17. The ratio of 252.5 : 53 is same as :
#18. If x is less than y by 25% then y exceeds x by
#19. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :
#20. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#21. $ \sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$…….. is equal to
#22. 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 :
#23. If a = 4011 and b = 3989, then the value of ab = ?
#24. The least number, that must be added to 1720 so as to obtain a perfect cube is :
#25. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :
#26. (49)15 – 1 is exactly divisible by
#27. Divide 50 into two parts so that the sum of their reciprocals is $ \frac{1}{12} $
#28. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :
#29. 4 boys and 3 girls spent Rs.120 on the average, of which the boys spent Rs.150 on the average. Then the average amount spent by the girls is:
#30. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :
#31. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is
#32. Which of the following is the largest fraction?
$ \frac67, \frac56, \frac78, \frac45 $
#33. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is
#34. 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?
#35. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?
#36. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :
#37. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#38. A man rows down a river 15 km in 3 hours with the stream and returns in $ 7\frac1 2 $ hours. The rate at which he swims 26 km downstream is :
#39. The sum of four consecutive even numbers is 748. The smallest among them is
#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. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :
#42. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :
#43. If $ 2^{x-1} + 2^{x+1} =320 $ then the value of x is :
#44. A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid Rs 675 for it. For how much did A purchase it (in Rs)?
#45. 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?
#46. 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?
#47. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#48. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :
#49. The square of a natural number subtracted from its cube is 48. The number is
#50. How many numbers between 400 and 800 are divisible by 4, 5 and 6?
