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
Immediate display of Answer and Solution
New Practice of 50 Questions in every attempt
Results
#1. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#2. 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?
#3. 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?
#4. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :
#5. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to
#6. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.
#7. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is
#8. If x : y = 3 : 4 and y : z = 3 : 4, then $ \frac {x+y+z} {3z} $ is equal to :
#9. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to
#10. 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 :
#11. 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
#12. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#13. 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 :
#14. The value of ($ 11111)^2 $ is
#15. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is
#16. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :
#17. 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
#18. A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is :
#19. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :
#20. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :
#21. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :
#22. 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 :
#23. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is
Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45
#24. 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 :
#25. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :
#26. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :
#27. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :
#28. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is
#29. 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 :
#30. The least number which must be added to 1728 to make it a perfect square is :
#31. If $ 2^{x-1} + 2^{x+1} =320 $ then the value of x is :
#32. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :
#33. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r)
Required number
= HCF of (989 – 5) and (1327 – 7)
= HCF of 984 and 1320 = 24
HCF = 24
#34. The value of $ \frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}} $
#35. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?
#36. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers 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. 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]
#39. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :
#40. 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 :
#41. 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 :
#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. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :
#44. 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 :
#45. 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.
#46. 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 ?
#47. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :
#48. 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 :
#49. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#50. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?
