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. 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.
#2. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is
HCF of numbers = 21
Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
Larger number = 21 × 4 = 84
#3. 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 :
#4. The average of 30 numbers is 12. The average of the first 20 of them is 11 and that of the next 9 is 10. The last number is :
Explanation: Last number :
= 30 × 12-20 × 11 − 9 × 10
= 360 − 220 − 90
= 360 − 310 = 50
#5. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is
#6. On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :
#7. 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?
#8. 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.
#9. Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, then the fourth number is :
#10. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $ 2\frac12 $ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?
#11. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is
#12. A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minute, then the distance covered by the thief before he is over-powered is :
#13. 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?
#14. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :
#15. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :
#16. 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 :
#17. In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :
#18. 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?
#19. $ \dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09} $ is equal to
#20. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :
#21. If $ \sqrt7 = 2.646 $, then the value of $ \frac{1}{\sqrt{28}} $up to three places of decimals is :
#22. 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 :
#23. The compound interest on a certain sum of money at a certain rate for 2 years is Rs 40.80 and the simple interest on the same sum is Rs 40 at the same rate and for the same time. The rate of interest is :
#24. 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 :
#25. Three glasses are filled with a mixture of acid and water in equal volume. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. The contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is :
#26. LCM of 12 and 16 Prime factorisation of $ 12 = 2^3 $ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24
[latex]e^{i pi} 1 = 0[/latex]
[latex]e^{i pi} 1 = 0[/latex]
[latex]e^{i pi} 1 = 0[/latex]
#27. 553 + 173 – 723 + 201960 is equal to
#28. 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 :
#29. Insert the missing number 3, 18, 12, 72, 66, 396, ?
#30.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#31. The value of $ 3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] $is
#32. $ (\frac12)^{-\frac12} $ is equal to
#33. The fourth proportional to 0.12, 0.21, 8 is :
#34. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :
#35. 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 :
#36. 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 :
#37. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#38. 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 :
#39. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :
#40. 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?
#41. 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
#42. 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
#43. 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
#44. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?
#45. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?
#46. 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 :
#47. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :
#48. 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 :
#49. If X = $ (0.25)^{\frac12} $, Y = $ (0.4)^2 $, Z =$ (0.216)^{\frac13} $, then
#50. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?
