# 100+ Quantitative Aptitude Questions and Answers with Explanation

Quantitative Aptitude question will prove to be important for you for examinations like SBI PO, SBI Clerk 2019, IBPS PO / RRB / Clerk / PO, RBI Bank exam. Quantitative Aptitude questions purely of numerical calculations relate to problems like arithmetic, graph and table reading, percentage analysis, categorization, quantitative analysis and more. The major importance of quantitative aptitude test is to measures someone’s numerical ability and accuracy in mathematical calculations.

1. The cost price of a table is Rs. 3,200. A merchant wants to make 25% profit by selling it. At the time of sale he declares a discount of 20% on the marked price. The marked price (in Rs.) is :
(A) 5,000 (B) 6,000
(C) 4,000 (D) 4,500
Ans : (A)

2. A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20%, If the article costs the shopkeeper Rs. 210, then the marked price of the article will be :
(A) Rs. 387 (B) Rs. 350
(C) Rs. 386 (D) Rs. 288
Ans : (D)

3. Rs. 555 was to be divided among A, B and C in the ratio of 1/4 : 1/5 : 1/6. But by mistake it was divided in the ratio of 4 : 5 : 6. The amount of excess received by C was :
(A) Rs. 72 (B) Rs. 75
(C) Rs. 22 (D) Rs. 52
Ans : (A)

4. The average of 50 numbers is 38. If two numbers. namely 45 and 55are discarded, the average of the remaining numbers is :
(A) 37.5 (B) 37.9
(C) 36.5 (D) 37.0
Ans : (A)

5. 25% of 120 + 40% + 380 = ? of 637 :
(A) 2/7 (B) 1/7
(C) 4/7 (D) 3/7
Ans : (A)

6. The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years were replaced by 3 youngsters. The average age of the newcomers is :
(A) 23 years (B) 21 years
(C) 22 years (D) 20 years
Ans : (C)

7. I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
(A) 30 minutes (B) 19 minutes
(C) 37 minutes (D) 20 minutes
Ans : (B)

8. A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B be kept open alternately for one minute each, how soon will the cistern be filled?
(A) 121 minutes (B) 110 minutes
(C) 115 minutes (D) 120 minutes
Ans : (C)

9. The co-ordinates of the vertices of a right-angled triangle are P(3, 4), QA(7, 4) and R (3, 8), the right-angle being at P. The co-ordinatere of the orthocentre of DPQR are :
(A) (5, 6) (B) (3, 4)
(C) (7, 4) (D) (3, 8)
Ans : (B)

10. A line graph :
(A) shows trend over time
(B) compares structures
(C) makes comparisons
(D) None of the above
Ans : (C)

11. The sum of the ages of two brothers, having a difference of 8 years between them, will double after 10 years. what is the ratio of the age of the younger to that of the elder brother?
(A) 10 : 13 (B) 7 : 11
(C) 3 : 7 (D) 8 : 9
Ans : (C)

12. Out of 30 teachers of a school, a teacher of age 60 years retired. In his place another teacher of age 30 years was appointed. As a result, teh mean age of the teachers will :
(A) decrease by 2 years
(B) decrease by 6 months
(C) decrease by 1 year
(D) remain same
Ans : (C)

13. The marked price of a table is Rs. 800. A retailer bought it after two successive discounts of 10% and 15%. He spent Rs. 13 on transportation and sold it for Rs. 875. His profit was :
(A) 40% (B) 37%
(C) 28% (D) 25%
Ans : (A)

14. For any integral value of n, 32n + 9n + 5 when divided by 3 will leave the remiander :
(A) 1 (B) 2
(C) 0 (D) 5
Ans : (B)

15. A student finds the average of 10, 2 - digit numbers. If the digits of one of the numbers is interchanged, The average increases b 3.6. The difference between the digits of the 2 - digit numbers is :
(A) 4 (B) 3
(C) 2 (D) 5
Ans : (A)

16. The average marks obtained by 40 students of a class is 86. If the highest marks are removed, the average reduces buy one mark. The average marks of the top 5 students is :
(A) 92 (B) 96
(C) 93 (D) 97
Ans : (C)

17. If 125% of x is 100, then x is :
(A) 80 (B) 150
(C) 400 (D) 125
Ans : (A)

18. The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the smallest angle is :
(A) 30° (B) 60°
(C) 45° (D) 90°
Ans : (A)

19. Find two mean proportionals between 2 and 54 :
(A) 6 and 18 (B) 6 and 12
(C) 12 and 18 (D) 6 and 9
Ans : (A)

20. In what ratio must 25% of alcohol be mixed with 50% of alcohol to get a mixture of 40% strengh alcohol?
(A) 1 : 2 (B) 2 : 1
(C) 2 : 3 (D) 3 : 2
Ans : (C)

21. If the ratio of an external angle and an internal angle of a regular polygon is 1 : 17, then the number of sides of the regular polygon is :
(A) 36 (B) 12
(C) 20 (D) 18
Ans : (A)

22. The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium be 4 cm, then its area is :
(A) 30 sq cm (B) 30 cm
(C) 28 cm (D) 28 sq cm
Ans : (D)

23. Two Pipes A and B can separately fill a tank in 2 h and 3 h respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :
(A) 1 h 15 min (B) 1 h 20 min
(C) 1 h 12 min (D) 2 h 30 min
Ans : (A)

24. One man or two women or three boys can do a piece of work in 88 days. One man, one woman and one boy will do it in :
(A) 48 days (B) 20 days
(C) 44 days (D) 24 days
Ans : (B)

25. The average of two numbers is 8 and that of another three numbers is 3. The average of those five numbers is :
(A) 6 (B) 5
(C) 7 (D) 5.5
Ans : (B)

26. The compound interest on a sum of money for 2 yrs. is Rs. 615 and the simple interest for the same period is Rs. 600. Find the principal :
(A) Rs. 8000 (B) Rs. 9500
(C) Rs. 6500 (D) Rs. 6000
Ans : (D)

27. If books bought at prices ranging from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350, what is the greatest possible profit that might be made in selling 15 books?
(A) Rs. 750
(B) Rs. 4250
(C) Rs. 3000
(D) Cannot be determined
Ans : (C)

28. A sum becomes Rs. 2916 in 2 yr at 8% per annum compound interest. The simple interest at 9% per annum for 3 yr on the same amount will be :
(A) Rs. 675 (B) Rs. 650
(C) Rs. 625 (D) Rs. 600
Ans : (A)

29. If a number is as much greater than 31 as it is less than 75, then the number is :
(A) 44 (B) 74
(C) 53 (D) 106
Ans : (C)

30. Number of solutions of the two equations 4x – y = 2 and 2y – 8x + 4 = 0 is :
(A) one (B) two
(C) infinitely many (D) zero
Ans : (D)

31. In a circle of radius 21 cm, an arc subtends an angle of 72° at the centre. The length of the arc is :
(A) 13.2 cm (B) 19.8 cm
(C) 2 1.6 cm (D) 26.4 cm
Ans : (D)

32. The base of a cone and a cylinder have the same radius 6 cm ; they have also the same height 8 :cm. The ratio of the curved surfaces of the cylinder to that of the cone is :
(A) 4 : 3 (B) 5 : 3
(C) 8 : 5 (D) 8 : 3
Ans : (C)

33. The compound interest on Rs. 30000 at 7% per annum for a certain time is Rs. 4347. The time is :
(A) 2 yr (B) 2.5 yr
(C) 3 yr (D) 4 yr
Ans : (A)

34. A prism has as the base a right angled triangle whose sides adjacent to the right angles are 10 cm and 12 cm long. The height of the prism is 20 cm. The density of the material of the prism is 6 g/cubic cm. The weight of the prism is :
(A) 3.4 kg (B) 4.8 kg
(C) 6.4 kg (D) 7.2 kg
Ans : (D)

35. A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?
(A) Rs. 220 (B) Rs. 200
(C) Rs. 240 (D) Rs. 260
Ans : (C)

36. In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 11, respectively. In what proportion should the two types be mixed, so that the ratio of chromium to steel in the mixed type become 7 : 32?
(A) 1 : 2 (B) 1 : 3
(C) 2 : 3 (D) 3 : 4
Ans : (A)

37. The distance between the centres of two equal circles, each of radius 3 cm, is 10 cm. The length of a transverse common tangent is :
(A) 4 cm (B) 6 cm
(C) 8 cm (D) 10 cm
Ans : (C)

38. If the perimeter of a right angled triangle is 56 cm and area of the triangle is 84 sq cm, then the length of the hypotenuse is (in cm) :
(A) 7 (B) 24
(C) 25 (D) 50
Ans : (C)

39. A container contains 60 kg of milk. From this container 6 kg of milk taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is :
(A) 34.24 kg (B) 39.64 kg
(C) 43.74 kg (D) 47.6 kg
Ans : (C)

40. The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. The total number of students before the increase was :
(A) 160 (B) 120
(C) 100 (D) 10
Ans : (C)

41. The discount equivalent to two successive discount of 10% is :
(A) 15% (B) 19%
(C) 20% (D) 21%
Ans : (B)

42. A shopkeeper bought 15kg of rice at the rate of Rs. 29 per kg and 25kg of rice at the rate of Rs. 20 per kg. He sold the mixture of both types of rice at the rate of Rs. 27 per kg. His profit in his transaction is :
(A) Rs. 125 (B) Rs. 150
(C) Rs. 140 (D) Rs. 145
Ans : (D)

43. The difference between the interest received from two different banks on Rs. 500 for 2 years Rs. 2.50. The difference between their rates is :
(A) 0.5% (B) 2.5%
(C) 0.25% (D) 1%
Ans : (C)

44. A team played 40 games in a season and won in 24 of them. What percent of games played did the team win?
(A) 70% (B) 40%
(C) 60% (D) 35%
Ans : (C)

45. The average of four consecutive even numbers is 9. Find the largest number :
(A) 12 (B) 6
(C) 8 (D) 10
Ans : (A)

46. From 9.00 AM to 2.00 PM, the temperature rose at a constant rate from 21ºC to 36ºC. What was the temperature at noon?
(A) 27° C (B) 30° C
(C) 32° C (D) 28.5° C
Ans : (B)

47. If the difference of two numbers is 3 and the difference of their squares is 39; then the larger number is :
(A) 9 (B) 12
(C) 13 (D) 8
Ans : (D)

48. A sells an article to B at a gain of 10%, B sells it to C at a gain of 5%. If C pays Rs. 462 for it, what did it cost to A?
(A) Rs. 500 (B) Rs. 450
(C) Rs. 600 (D) Rs. 400
Ans : (D)

49. A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid Rs. 960 for the whole work how much money A gets?
(A) Rs. 480 (B) Rs. 240
(C) Rs. 320 (D) Rs. 400
Ans : (D)

50. The length of radius of a circumcircle of a triangle having sides 3 cm, 4 cm and 5cm is :
(A) 2 cm (B) 2.5 cm
(C) 3 cm (D) 1.5 cm
Ans : (B)