SSC CPO Quantitative Aptitude Questions with answers and Solutions. 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. 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 :
#2. The value of \(3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] \)is
#3. 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
#4. Find the simplest value of \(2\sqrt{50}+\sqrt{18} -\sqrt{72}\) (given\(\sqrt2 = 1.414)\)
#5. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :
#6. 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?
#7. 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 :
#8. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 a.m., the pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m.?
#9. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#10. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of \(2\frac12\) years its present worth would be Rs 1016. The rate percent is :
#11. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.
#12. The value of \(\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}\) is
#13. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice
#14. 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.
#15. 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
#16. Walking at the rate of 4 kmph a man covers certain distance in 2 hours 45 minutes. Running at a speed of 36.5 kmph the man will cover the same distance in how many minutes?
#17. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :
#18. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?
#19. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is
#20. The value of \(3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]\) is
#21. Unit digit in (264)102 + (264)103 is :
#22. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :
#23. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :
#24. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#25. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is
#26. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :
#27. 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?
#28. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#29. 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
#30. 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 :
#31. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :
#32. When 75% of a number is added to 75, the result is the same number. Find the number.
#33. \((\frac12)^{-\frac12}\) is equal to
#34. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is
#35. The time in which Rs 80000 amounts to Rs 92610 at 10% p.a. compound interest, interest being compounded semi-annually is :
#36. 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?
#37. 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
#38. 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:
#39. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#40. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :
#41. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :
#42. 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?
#43. The greatest number among \({3}^{50},{4}^{40},{5}^{30} \) and \(6^{20}\) is
#44. 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 :
#45. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :
#46. In a school \(\frac{1}{10}\) of the boys are same in number as \(\frac14\) of the girls and \(\frac58\) of the girls are same in number as \(\frac14\) of the boys. The ratio of the boys to girls in that school is :
#47. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :
#48. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?
#49. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :
#50. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?
