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 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 :
#2. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#3. 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
#4. 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 :
#5. 25% of annual salary of A is equal to eighty percent of annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lac. What is the monthly salary of A?
#6. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby (in year/s) is :
#7. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.
#8. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :
#9. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $
#10. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :
#11. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?
#12. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?
#13. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :
#14. 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.
#15. 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
#16. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :
#17. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?
#18. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
#19. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?
#20. 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.
#21. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :
#22. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
#23. On selling 17 balls at Rs 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs) of a ball is
#24. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49
#25. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :
#26. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to
#27. 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
#28. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :
#29. 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?
#30. 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?
#31. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :
#32. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :
#33. A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?
#34. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#35. The square of a natural number subtracted from its cube is 48. The number is
#36. 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 :
#37. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :
L.C.M. of 4, 6, 8, 12 and 16 = 48
Required number = 48 2 = 50
#38. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :
#39. 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 :
#40. 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 :
#41. In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4 : 7and 2 : 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is :
#42. 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?
#43. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is :
#44. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is
#45. The time in which Rs 80000 amounts to Rs 92610 at 10% p.a. compound interest, interest being compounded semi-annually is :
#46. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :
#47. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :
#48. How many numbers between 400 and 800 are divisible by 4, 5 and 6?
#49. If a = 4011 and b = 3989, then the value of ab = ?
#50. The value of x in the sequence 1, 2, 6, 24, x is
