IBPS Quantitative Aptitude Model Questions with Answers

1. The average of 20 numbers is 28. Later, it was pointed out that value of one the numbers was wrongly taken as 72 instead of 87.
What is the correct average?
1) 32 2) 25.5 3) 30.75
4) 31.25 5) None of these

2. A number when divided by 136 leaves a remainder 71. If the same number is divided by 17, then the remainder will be
1) 4 2) 18 3) 3 4) Can’t be determined 5) None of these

3. How many square tiles of 20cm length will be required to pave a footpath 1m wide built around the outside of a grass plot 32m long
and 16m wide?
1) 1200 2) 1800 3) 3200 4) 2500 5) 2400

4. In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 5% in deficit. What is the change in its area
as a percentage?
1) 1.5% 2) 4.5% 3) 2.5% 4) 5% 5) None of theses

5. An amount of Rs.2730 is to be divided to three persons A, B and C such that 2 times of A’s share, 3 times of B’s share and 4 times
of C’s share are equal. Find the share of B?
1) Rs. 210 2) Rs. 1260 3) Rs. 840 4) Rs. 630 5) None of these

Directions (Q.6-10): Study the following graph carefully and answer the questions below that.
The following graph shows the production of wheat by two states A and B in various years. Production is in million tonnes

Quant Aptitude

6. What is the average production of ‘B’ in all the years?
1) 22.3 million tonnes
2) 32.4 million tonnes
3) 28.7 million tonnes
4) 33.3 million tonnes
5) None of these

7. In which of the following years was the production of wheat of state ‘A’ same as the production of wheat of state ‘B’ in 2001?
1) 2003 2) 2006 3) 2002
4) 2005 5) None of these

8. In which of the following years was the increase/ decrease percent in the production of wheat of state ‘A’ the minimum comparing
to the previous year?
1) 2003 2) 2005 3) 2002
4) 2004 5) None of these

9. What is the decrement percent of the production of wheat of state ‘B’ in 2003 from 2002?
1) 15% 2) 14.2% 3) 12.5% 4) 7.5% 5) None of these

10. What is the difference in the production of state ‘A’ in 2002, 2005 together and production of State ‘B’ in 2003, 2005 together?
1) 10million tonnes 2) 18million tonnes
3) 13million tonnes 4) 27million tonnes 5) None of these

Directions (Q.11- 15): In each of the questions below, two equations
are provided. On the basis of these you have to find out the relation between P and Q.
Give answer 1) if P = Q or relationship can’t be established
Give answer 2) if P > Q
Give answer 3) if P < Q Give answer 4) if P ≥ Q Give answer 5) if P ≤ Q 11. P2 – P - 6 = 0 ; Q2 – 3Q - 10 = 0 12. 2P2 – 3P + 5 = 3 + 2P2; 6Q – 7 = 3Q – 5 13. 4P2 – 23P +15 = 0 ; 2Q2 – 11Q + 5 = 0 14. 5P + Q = 11; P + 3Q = 5 15. P2 – 6P -16 = 0; Q2 – 6Q - 40 = 0 Directions (Q.16 - 18): Each of the following questions below consists of a question and three statements A, B and C. You have to study the questions and the statements and decide whether the question can be answered with any one or two or all of the statements together. 16. What is the length of the tunnel? A) Train crosses the tunnel in 40 sec. B) The train, which is 450m long crosses a man in 30sec.. C) The speed of the train is 54kmph. 1) A and C 2) B and C 3) A and B 4) All the three 5) None of these 17. Find the age of the supervisor? A) There are 5 workers and a supervisor in the company. B) The average age of the workers is 24 years. C) The average age increases by 2 years if the supervisor's age is also included. 1) only A 2) A and C 3) only B 4) All the three 5) None of these 18. What is the length of the rectangle? A) Area of the square whose side is equal to the breadth of the rectangle is 144 sq m. B) The length of the rectangle is 25% more than its breadth. C) The breadth of the rectangle is 12m. 1) A and B 2) B and C 3) A and C 4) 1 or 2 5) Any two ANSWERS:

1) 5 2) 3 3) 4 4) 2 5) 3 6) 4 7) 4 8) 2 9) 3 10) 1 11) 5 12) 1 13) 4
14) 2 15) 1 16) 3 17) 4 18) 4.

IBPS Clerks Numerical Ability Model Questions – Averages

The average of a number of quantities can be obtained by dividing the total of the quantities by the number of quantities Average = Total of the quantities / Number of quantities

1. Find the average of 135, 298, 391, 814, 272, 193, 584 and 729.
1) 431 2) 426 3) 412 4) 427 5) None of these

2. The average age of 4 boys is 11 years. The ages of three of them are 7 years, 12 years and 10 years. Find the age of the fourth student.
1) 12.5 yrs 2) 15 yrs 3) 12 yrs 4) 13 yrs 5) None of these

3. The average age of students in section A of 30 students is 9 years and the average age of students of section B of 20 students is 11 years. Find the average age of students in both sections taken together.
1) 10 yrs 2) 9.8 yrs 3) 10.4 yrs 4) 9.5 yrs 5) None of these

4. The average of seven numbers is 17. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
1) 15 2) 17 3) 20 4) Can’t be determined 5) None of these

5. The average of five numbers is 18. The average of first three numbers is 16 and the last three numbers is 21. Find the third number.
1) 21 2) 19 3) 22 4) Can’t be determined 5) None of these

6. The average age of a class of 24 students is 11 years. If the teacher’s age is also included, the average increases by one year. Find the age of the teacher.
1) 35 2) 39 3) 34 4) 36 5) None

7. The average age of five children and their father is 13 years. It is reduced by 4 years if the father be excluded. How old is the
father?
1) 33 yrs 2) 36 yrs 3) 32 yrs 4) 42 yrs 5) None

8. The average weight of 6 persons increases by 1.5 kg when a person 54 kg weight is replaced by a new person. What could be the weight of the new person?

1) 55 kg 2) 67 kg 3) 62 kg 4) 63 kg 5) None of these

9. A train covers a distance of 275 kms in 5 hours and another distance of 225 kms in 3 hours. What is the average speed of the
train for the entire distance?
1) 57.5 kmph 2) 60 kmph 3) 62.5 kmph 4) 50 kmph 5) None of these

10. A cricketer’s average for 11 matches is 25 runs. In the next four matches he scored 72, 34, 51 and 62 runs. Find his new average
for the 15 matches.
1) 39 2) 34 3) 36 4) 28 5) None

11. The average of 20 numbers is 14 and it was later found that one of the numbers was misread as 26 instead of 36. What is the
correct average?
1) 15 2) 14.5 3) 17 4) 15.5 5) None

12. Present ages of Kavitha and Savitha are in the ratio 4:5
respectively. After six years the ratio becomes 5:6. What is present age of Kavitha?
1) 25 yrs 2) 20 yrs 3) 30 yrs 4) 35 yrs 5) None

13. In a company there are 600 male and 400 female employees. Their average wage was Rs. 25 per hour. If a female employee gets Rs. 5 less than a male employee, what was the wage of a male employee per hour?
1) Rs. 27 2) Rs. 22 3) Rs. 24 4) Rs. 29 5) None

14. The average marks of a student in English and Science is 87. His
average of marks in English and Maths is 72. What is the difference
between the marks which he obtained in Science and Maths?
1) 20 2) 35 3) 30 4) 25 5) None of these

15. The average temperature for Wednesday, Thursday and Friday is 32.8 °C. The average temperature for Thursday, Friday and Saturday is 33.1 °C. If Wednesday’s temperature recorded as 34 °C, find
Saturday’s temperature.
1) 39.2 °C 2) 34.9 °C 3) 38.2 °C 4) 41.2 °C 5) None of these

16. A tree is 4.6 metres tall, another is half as high and the third tree is 3 times the height of the first tree. Find the average height of the three trees.
1) 5.2 m 2) 6.1 m 3) 5.8 m 4) 6.9 m 5) None of these

17. A batsman has a certain average of runs for 14 innings. In the 15th innings, he makes a score of 67 runs, thereby increasing his
average by 3. What is the average after 15th innings?
1) 24 2) 22 3) 25 4) 27 5) None

18. A car travels a certain distance. The speed of the car for the first half is 80 kmph and for the remaining distance it is 120 kmph. What is the average speed of the car for the entire distance?
1) 100 kmph 2) 92 kmph 3) 85 kmph 4) Can’t be determined 5) None

19. Srinivas spends Rs.1350 per month on an average for the first seven months, Rs.1225 for next five months and saves Rs.2665 a
year. What is his average monthly income?
1) Rs.1520 2) Rs.1680 3) Rs.1750 4) Rs.1575 5) None of these

20. 5 kg sugar is purchased at Rs.10 per kg, 6 kg at Rs.11 and 9 kg at Rs.12 per kg. What is the weighted average price of sugar per kg?
1) Rs. 11 2) Rs. 10.9 3) Rs. 11.2 4) Rs. 11.8 5) None of these

Answers: 1-4; 2-2; 3-2; 4-3; 5-1; 6-4; 7-1; 8-4; 9-3; 10-5; 11-2; 12-5; 13-1; 14-3; 15-2; 16-4; 17-3; 18-5; 19-1; 20-3.

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