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. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :
#2. 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 :
#3. Two types of tea costing Rs 180 per kg and Rs 280 per kg should be mixed in the ratio so that the mixture obtained was sold at Rs 320 per kg to earn a profit of 20% is
#4. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $ A^3+B^3 $ is
#5. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :
#6. A manufacturer sells an item to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells it to a customer for Rs 15,045 thereby earning a profit of 25%. The cost price of the manufacturer is :
#7. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :
#8. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?
#9. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of
#10. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :
#11. If x is less than y by 25% then y exceeds x by
#12. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#13. 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 :
#14. 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 :
#15. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :
#16. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is
#17. The total number of prime factors in $ 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 $ is
#18. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.
#19. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :
#20. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#21. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?
Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75
#22. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#23. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :
#24. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :
#25. If the price of a commodity is increased by 50%, by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?
#26. A boat moves downstream at the rate of 1 km in $ 7\frac1 2 $ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
#27. A can do a piece of work in 6 days. B is 25% more efficient than A. How long would B alone take to finish this work?
#28. 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 :
#29. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice
#30. If the average of eight consecutive even numbers be 93, then the greatest number among them is :
#31. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in :
#32. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?
#33. The average of 30 numbers is 12. The average of the first 20 of them is 11 and that of the next 9 is 10. The last number is :
Explanation: Last number :
= 30 × 12-20 × 11 − 9 × 10
= 360 − 220 − 90
= 360 − 310 = 50
#34. Product of two co-prime numbers is 117. Then their LCM is
HCF of two-prime numbers = 1
Product of numbers = their
LCM = 117
117 = 13 × 9 where 13 & 9 are
co-prime. L.C.M (13,9) = 117
#35. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :
#36. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :
#37. 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 :
#38. Find the simplest value of $ 2\sqrt{50}+\sqrt{18} -\sqrt{72} $ (given$ \sqrt2 = 1.414) $
#39. The first odd number is 1, the second odd number is 3, the third odd number is 5 and so on. The 200th odd number is :
#40. Which of the following is the largest fraction?
$ \frac67, \frac56, \frac78, \frac45 $
#41. By walking at $ \frac34 $ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :
#42. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.
#43. At what rate percent per annum will the simple interest on a sum of money be $ \frac25 $ of the amount in 10 years ?
#44. Which of the following number is the greatest of all? $ 0.9,0.{\overline9},0.0{\overline9},0.\overline{09} $
#45. 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 :
#46. The ratio of the incomes of A and B as well as B and C is 3 : 2. If one third of A’s income exceeds one fourth of C’s income by Rs.1000, what is B’s income in Rs. ?
#47. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :
#48. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :
#49. The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is :
#50. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :
