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 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 :
#2. In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :
#3. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.
LCM of 18, 21 and 24
LCM = 2 × 3 × 3 × 7 × 4 = 504
Now compare the divisors with their respective remainders. We observe that in all the cases the remainder is just 11 less than their respective divisor. So the number can be given by 504 K – 11 Where K is a positive integer
Since 23 × 21 = 483
We can write 504 K – 11
= (483 21) K – 11, = 483 K (21K – 11)
483 K is multiple of 23, since 483 is divisible by 23.
So, for (504K – 11) to be multiple of 23, the remainder (21K – 11) must be divisible by 23.
Put the value of K = 1, 2, 3, 4, 5,6, ….. and so on successively.
We find that the minimum value of K for which (21K – 11) is divisible by 23. is 6, (21 × 6 – 11)
= 115 which is divisible by 23.
Therefore, the required least number
= 504 × 6 – 11 = 3013
#4. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#5. A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs 48. What is his capital?
#6. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :
#7. 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 :
#8. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :
#9. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $ \frac34 $ of the cistern is already full of water?
#10. Given A is 50% larger than C and B is 25% larger than C, then A is what per cent larger than B?
#11. 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?
#12. 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?
#13. 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
#14. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is
#15. 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?
#16. 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 :
#17. The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’ s current age is
#18. 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 :
#19. 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
#20. 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
#21. 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 :
#22. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :
#23. A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?
#24. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is
#25. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?
#26. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is
#27. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?
#28. The sum of the cubes of the numbers 22, -15 and -7 is equal to
#29. 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 :
#30. 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 :
#31. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :
#32. The fourth proportional to 0.12, 0.21, 8 is :
#33. 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 :
#34. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :
#35. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is :
#36. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was
Explanation: 16 years ago,
Let us assume that my age was x years.
#37. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#38. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 a.m., the pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m.?
#39. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#40. The simple interest on a sum after 4 years is $ \frac15 $ of the sum. The rate of interest per annum is :
#41. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?
#42. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#43. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?
#44. A man rows 750 m in 600 seconds against the stream and returns in $ 7\frac1 2 $ minutes. Its rowing speed in still water is (in km/hr).
#45. The value of $ \frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}} $
#46. Every Sunday, Gin jogs 3 miles. For rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?
#47. Two numbers are in the ratio 2: 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number 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. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#50. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.
