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 greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is
Clearly, 122 – 2 = 120 and 243 – 3 = 240 are exactly divisible by the required number.
Required number
= HCF of 120 and 240 = 120
#2. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :
#3. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :
#4. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#5. 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
#6. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :
#7. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :
#8. If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is :
#9. 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?
#10. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#11. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
Let the numbers be 12x and
12y where x and y are prime to
each other.
LCM = 12xy
12xy = 924
xy = 77
Possible pairs = (1,77) and (7,11)
#12. Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is :
#13. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#14. 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
#15. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :
#16. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)
#17. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :
#18. 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 :
#19. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :
#20. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :
#21. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is
#22. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in
#23. 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 :
#24. The average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is :
#25. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :
#26. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :
#27. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#28. 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 :
#29. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :
#30. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :
#31. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is :
#32. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
#33. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :
#34. If a number is as much greater than 31 as it is less than 75, then the number is :
#35. 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 ?
#36. The value of $ 3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] $is
#37. A supply of juice lasts for 35 days. If its use is increased by 40%, then the number of days would the same amount of juice lasts is :
#38. 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 :
#39. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is
#40. What is the average of the first six (positive) odd numbers each of which is divisible by 7?
#41. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is
#42. 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?
#43. 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% ?
#44. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become
#45. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49
#46. 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 :
#47. Which term of the series 72, 63, 54 … is zero?
#48. 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?
#49. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?
#50. 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)?
