Top Quantitative Aptitude Question and Answers for Competitive 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. A principal of Rs. 10,000 after 2 years compounded annually, the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amount to :
(A) Rs. 12,000 (B) Rs. 12, 320
(C) Rs. 12, 500 (D) Rs. 11, 320
Ans : (B)
2. The circumference of the base of a 16 cm height solid cone is 33 cm. What is the volume of the cone in cm3?
(A) 1028 (B) 616
(C) 462 (D) 828
Ans : (C)
3. A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in :
(A) 5 days (B) 7 days
(C) 11 days (D) 3 days
Ans : (A)
4. A batsman in his 12th innings make a score of 63 runs and there by increases his average scores by 2. What is his average after the 12th innings?
(A) 13 (B) 39
(C) 49 (D) 87
Ans : (B)
5. A, B and C are batsmen. The ratio of the runs scored by them in a certain match are given below : A : B = 5 : 3 and B : C = 4 : 5. In all they scored 564 runs. The number of runs scored by B is :
(A) 124 (B) 104
(C) 114 (D) 144
Ans : (D)
6. The printed price of a book is Rs. 320. A retailer pays Rs. 244.80 for it. He gets successive discounts of 10% and an another rate. His second rate is :
(A) 15% (B) 16%
(C) 14% (D) 12%
Ans : (A)
7. If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of area of the rectangle and, that of the square is :
(A) 1 : 1 (B) 1 : 2
(C) 2 : 3 (D) 8 : 9
Ans : (D)
8. The interest on a certain sum of money is Rs. 22 and the true discount on the same sum for the same time and at the same rate is Rs. 20. Find the sum :
(A) Rs. 220 (B) Rs. 200
(C) Rs. 210 (D) Rs. 212
Ans : (A)
9. There is 100% increase to an amount in 8 years, at simple interest. Find the compound interest of Rs. 8000 after 2 years at the same rate of interest :
(A) Rs. 2500 (B) Rs. 2000
(C) Rs. 2250 (D) Rs. 2125
Ans : (D)
10. In what time will Rs. 8;000, at 3% per annum, produce the same interest as Rs. 6,000 does in 5 years at 4% simple interest?
(A) 5 years (B) 6 years
(C) 3 years (D) 4 years
Ans : (A)
11. A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?
(A) 4 days (B) 6 days
(C) 2 days (D) 3 days
Ans : (D)
12. A businessman allows a discount of 10% on the marked price. What percent above the cost price must he mark his goods to make he mark his good to make a profit of 17 per cent?
(A) 27 % (B) 18 %
(C) 30 % (D) 20 %
Ans : (C)
13. A man rides at the rate of 18 km/hr, but stops for 6 mins to change horses at the end of every 7th km. The time that he will take to cover a distance of 90 km is :
(A) 6 hrs. (B) 6 hrs. 12 min.
(C) 6 hrs. 18 min. (D) 6 hrs. 24 min.
Ans : (B)
14. A train travelling at a speed of 55 km/hr travels from place X to place Y in 4 hours. If its speed is increased by 5 km/hr., then the time of journey is reduced by :
(A) 25 minutes (B) 35 minutes
(C) 20 minutes (D) 30 minutes
Ans : (C)
15. A speed of 45 km per hour is the same as :
(A) 12.5 metre/second
(B) 13 metre/second
(C) 15 metre/second
(D) 12 metre/second
Ans : (A)
16. The mean of 20 items is 55. If two items 45 and 30 are removed, the new means of the remaining items is :
(A) 65.1 (B) 65.3
(C) 56.9 (D) 56
Ans : (C)
17. The ratio of the number of boys and girls in a school is 2 : 3. If 25% of the boys and 30% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is :
(A) 72 (B) 36
(C) 54 (D) 60
Ans : (A)
18. The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is :
(A) 132 (B) 32
(C) 43 (D) 75
Ans : (A)
19. Rs. 3,000 is divided between A, B and C, so that A receives 1/3 as much as B and C together receive and B receives 2/3 as much as A and C together receive. Then the share of C is :
(A) Rs. 600 (B) Rs. 525
(C) Rs. 1,625 (D) Rs. 1,050
Ans : (D)
20. Which of the following graphical representations of data represents cumulative fre-quencies?
(A) Pie-chart (B) Histogram
(C) Frequency polygon
(D) Ogive
Ans : (D)
21. The least prime number is :
(A) 2 (B) 0
(C) 1 (D) 3
Ans : (A)
22. Average age of A, B and C is 84 years. When D joins them the average age become s80 years. A new person, E, whose age is 4 years more then D, replaces A nd the average of B, C, D, and E becomes 78 years. what is the age of A?
(A) 50 years (B) 60 years
(C) 70 years (D) 80 years
Ans : (D)
23. By selling and article for Rs. 450 a man loses 10% The gain or loss per cent if he sells it for Rs.540 is :
(A) gain 8% (B) loss 8%
(C) gain 9% (D) loss 9%
Ans : (A)
24. The ratio of the edges of rectangular parallelopiped is 1 : 2 : 3 and its volume is 1296 cubic cm. The area of the whole surface in sq.cm is :
(A) 696 (B) 792
(C) 824 (D) 548
Ans : (B)
25. The Length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by :
(A) 46% (B) 66%
(C) 42% (D) 56%
Ans : (D)
26. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio, the liquids in the vessels be mixed to obtain a new mixture in vessel C containing half water?
(A) 7 : 5 (B) 5 : 2
(C) 3 : 11 (D) 1 : 2
Ans : (A)
27. The volume of a cubical box is 3.375 cubic metres. The lenght of edge of the box is :
(A) 75 cm (B) 1.5 m
(C) 1.125 m (D) 2.5 m
Ans : (B)
28. If two angles of a triangle are 21° and 38°, then the triangle is :
(A) Right-angled triangle
(B) Acute-angled triangle
(C) Obtuse-angled triangle
(D) Isosceles triangle
Ans : (C)
29. In a right angled triangle, the circumcentre of the triangle lies :
(A) inside the triangle
(B) outside the triangle
(C) on midpoint of the hypotenuse
(D) on one vertex
Ans : (C)
30. A sum of money at compound interest will amount to Rs. 650 at the end of the first year and Rs. 676 at the end of the second year. The amount of money is :
(A) Rs. 1,300 (B) Rs. 650
(C) Rs. 1,250 (D) Rs. 625
Ans : (D)
31. A and B together can dig a trench in 12 days, which A alone can dig in 28 day; B alone can dig it in :
(A) 20 days (B) 21 days
(C) 22 days (D) 23 days
Ans : (B)
32. The average age of P, Q and R is 5 yrs. more than R´s age. If the total ages of P and Q together is 39 yrs, then R´s age is :
(A) 16 yrs. (B) 14 yrs
(C) 12 yrs. (D) 24 yrs.
Ans : (C)
33. A box contains 280 coins of Rs. 1, 50 paise and 25 paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then, the number of 50 paise coins is :
(A) 80 (B) 90
(C) 70 (D) 60
Ans : (A)
34. The least number by which 20184 must be multiplied, so as to make the product a perfect square is :
(A) 5 (B) 6
(C) 2 (D) 3
Ans : (B)
35. The odd one out from the sequence of numbers 19, 23, 29, 37, 43, 46, 47 is :
(A) 37 (B) 19
(C) 23 (D) 46
Ans : (D)
36. A can do a work in 20 days and B can do the same work in 30 days. In how many days can A and B together do the work?
(A) 10 (B) 12
(C) 15 (D) 16
Ans : (B)
37. A train is moving at a speed of 80 km/h and covers a certain distance in 4-5 h. The speed of the train to cover the same distance in 4 h is :
(A) 70 km/h (B) 85 km/h
(C) 90 km/h (D) 100 km/h
Ans : (C)
38. The ratio of age of two boys is 5 : 6. After 2 yr the ratio will be 7 : 8. The ratio of their ages after 12 yr will be :
(A) 15/16 (B) 17/18
(C) 11/12 (D) 22/24
Ans : (B)
39. Divide 50 into two parts so that the sum of their reciprocals is 1/12 :
(A) 20, 30 (B) 24, 36
(C) 28, 22 (D) 35, 15
Ans : (A)
40. The perpendicular, drawn from the vertices to the opposite sides of a triangle, meet at the point whose name is :
(A) circumcentre (B) centroid
(C) orthocentre (D) incentre
Ans : (C)
41. A chord 12 cm long is drawn in a circle of diameter 20 cm. The distance of the chord from the centre is :
(A) 6 cm (B) 10 cm
(C) 16 cm (D) 8 cm
Ans : (D)
42. A Salesman expects a gain of 13% on his cost price. If in a month his sale was Rs. 791000. What was his profit?
(A) Rs. 91000 (B) Rs. 97786
(C) Rs. 85659 (D) Rs. 88300
Ans : (A)
43. A merchant fixed the selling price of his articles at Rs. 700 after adding 40% profit to the cost price. As the sale was very low at this price level, he decided to fix the selling price at 10% profit. Find the new selling price :
(A) Rs. 450 (B) Rs. 490
(C) Rs. 500 (D) Rs. 550
Ans : (D)
44. The wrong number in the series 2, 9, 28, 65,126, 216, 344 is :
(A) 9 (B) 65
(C) 216 (D) 78
Ans : (C)
45. Eight consecutive numbers are given. If the average of the two numbers that appear in the middle is 6, then the sum of the eight given numbers is :
(A) 36 (B) 48
(C) 54 (D) 64
Ans : (B)
46. A sum of Rs. 7000 is divided among A, B and C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The share of B is :
(A) Rs. 1600 (B) Rs. 2000
(C) Rs. 2400 (D) Rs. 3000
Ans : (C)
47. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be :
(A) Rs. 169.5 (B) Rs. 170.0
(C) Rs. 175.5 (D) Rs. 180.0
Ans : (C)
48. If a man were to sell his writs-watch for Rs. 720, he would lose 25%. What price must he sell at for to gain 25%?
(A) Rs. 960 (B) Rs. 900
(C) Rs. 1000 (D) Rs. 1200
Ans : (D)
49. If the length of a rectangle increases by 12% and the breadth by 10% than the percentage increase in area is :
(A) 22% (B) 20%
(C) 23.2% (D) 20.2%
Ans : (C)
50. The ratio of the incomes of A and B as well as of B and C is 3 : 2. If one third of A’s in come exceeds one fourth of C’s income by Rs. 1000, what is B’s income in Rs.?
(A) 3000 (B) 2500
(C) 3500 (D) 4000
Ans : (A)
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