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. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is
#2. 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 ?
#3. 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 :
#4. 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 :
#5. 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 :
#6. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is :
#7. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is
#8. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :
#9. 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 :
#10. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :
#11. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :
#12. Divide 50 into two parts so that the sum of their reciprocals is $ \frac{1}{12} $
#13. The ratio of 252.5 : 53 is same as :
#14. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :
#15. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to
#16. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is
#17. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#18. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs 660. The marked price of the article was :
#19. 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?
#20. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :
#21. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#22. Given that 12 + 22 + 32 + … + 202 = 2870. Then the value of (22 + 42 + 62 + … + 402 ) is :
#23. The value of $ \frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}} $
#24. Every Sunday, Gin jogs 3 miles. For rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?
#25. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively
HCF of a and b = 12
Numbers = 12x and 12y where x and y are prime to each other.
a > b > 12
a = 36; b = 24
#26. 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 :
#27. 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 :
#28. The least number which must be added to 1728 to make it a perfect square is :
#29. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :
#30. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :
#31. 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)
#32. Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?
#33. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :
#34. 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?
#35. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :
#36. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to
#37. 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?
#38. A can cultivate $ \frac25 $ th of a land in 6 days and B can cultivate $ \frac13 $ rd of the same land in 10 days. Working together A and B can cultivate $ \frac45 $ th of the land in :
#39. $ \{(-2)^{(-2)}\}^{(-2)} $ is equal to
#40. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#41. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :
#42. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.
#43. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $
#44. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
#45. 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
#46. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is
#47. 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?
#48. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :
#49. 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 :
#50. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
