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 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?
#2. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $ 2\frac12 $ years its present worth would be Rs 1016. The rate percent is :
#3. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be.
#4. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#5. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :
#6. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?
#7. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the market price. His actual profit will be :
#8. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :
#9. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :
#10. 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?
#11. if $ (1101)^2 $ = 12122101, then find the value of $ \sqrt{121.2201} $
#12. 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?
#13. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :
#14. 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 :
#15. 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 :
#16. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :
#17. Find the value of $ \frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14} $
#18. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :
#19. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :
#20. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
#21. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :
#22. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :
#23. 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 :
#24. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#25. The simplification of $ \frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5} $up to three places of decimals yields
#26. $ \sqrt{110\frac14} $ is equal to
#27. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :
#28. Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Krishnan on the original price was :
#29. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.
#30. If $ 2^{x-1} + 2^{x+1} =320 $ then the value of x 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. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#33. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :
#34. Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?
#35. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :
#36. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?
#37. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
#38. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#39. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.
#40. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .
#41. On selling an article for Rs 651, there is a loss of 7%. The cost price of that article is :
#42. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :
#43. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#44. (461 + 462 + 463) is divisible by
#45. Simplify: $ \frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69} $
#46. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :
#47. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :
#48. The number 96 – 11 when divided by 8 would leave a remainder of
#49. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?
#50. The value of $ 3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}] $ is
