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. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is
#2. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of students to teachers is :
#3. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells it at 10% discount on marked price then, the profit is :
#4. Arvind spends 75% of his income and saves the rest. His income is increased by 20% and he increases his expenditure by 10%. Then the increase in savings in percentage is
#5. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :
#6.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#7. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, then how far is the place?
#8. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#9. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :
#10. (461 + 462 + 463) is divisible by
#11. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be
#12. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?
#13. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#14. 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 :
#15. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?
#16. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :
#17. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
#18. if $ (1101)^2 $ = 12122101, then find the value of $ \sqrt{121.2201} $
#19. 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)?
#20. 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 :
#21. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is
#22. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :
#23. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?
LCM of 9, 10 and 15 = 90
The multiple of 90 are also divisible by 9, 10 or 15.
21 × 90 = 1890 will be divisible by them.
Now, 1897 will be the number
that will give remainder 7.
Required number = 1936 – 1897 = 39
#24. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :
#25. 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
#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. 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:
#28. Find the largest number of four digits such that on dividing by 15,18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.
#29. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is
#30. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:
#31. 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.
#32. 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?
#33. 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 :
#34. 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
#35. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.
#36. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#37. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?
#38. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#39. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :
#40. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?
#41. 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?
#42. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is
#43. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $
#44. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :
#45. A can do a piece of work in 16 days and B in 24 days. They take the help of C and they together finish the work in 6 days. If the total remuneration for the work is Rs 400. The amount (in Rs ) each will receive, in proportion, to do the work is :
#46. Insert the missing number 3, 18, 12, 72, 66, 396, ?
#47. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :
#48. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#49. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :
#50. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
