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

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New Practice of 50 Questions in every attempt

### #1. 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 :

### #2. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is

### #3. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

### #4. 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 :

### #5. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works \(1\frac1 2\) times as fast as Sunil. The three together can complete the work in :

### #6. Given that 1^{2} + 2^{2} + 3^{2} + … + 20^{2} = 2870. Then the value of (2^{2} + 4^{2} + 6^{2} + … + 40^{2} ) is :

### #7. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?

### #8. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :

### #9. \(\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}\) is equal to

### #10. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

### #11. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

### #12. The simplified value of \(\frac{4}{15} \text{of} \frac58\times 6+15 - 10 \) is

### #13. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

### #14. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :

### #15. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

### #16. 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?

### #17. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :

### #18. 553 + 173 – 723 + 201960 is equal to

### #19. The number 9^{6} – 11 when divided by 8 would leave a remainder of

### #20. When\((\frac12-\frac14+\frac15-\frac16\)) is divided by \((\frac25-\frac59+\frac35-\frac{7}{18}\)), the result is

### #21. 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)

### #22. If 20% of A = 50% of B, then what per cent of A is B?

### #23. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?

### #24. If x : y = 3 : 4 and y : z = 3 : 4, then \( \frac {x+y+z} {3z} \) is equal to :

### #25. A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :

### #26. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

### #27. The odd term in the sequence 0, 7, 26, 63, 124, 217 is

### #28. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?

### #29. The value of \(\frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04}\)is

### #30. Two types of tea costing Rs 180 per kg and Rs 280 per kg should be mixed in the ratio so that the mixture obtained was sold at Rs 320 per kg to earn a profit of 20% is

### #31. \(\sqrt{110\frac14}\) is equal to

### #32. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

### #33. Unit digit in (264)^{102} + (264)^{103} is :

### #34. A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is :

### #35. The value of \(3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] \)is

### #36. 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.?

### #37. 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?

### #38. If \((125)^{2/3}\times (625)^{1/4} = 5^{x}\), then the value of x is

### #39. Two numbers are in the ratio 2: 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is :

### #40. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

### #41. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

### #42. 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

### #43. 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 :

### #44. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)

### #45. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

### #46. Simplify: \(\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}\)

### #47. 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 :

### #48. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are

### #49. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?

### #50. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?