IDBI PREVIOUS SOLVED PAPER

Quantitative aptitude

Qno.1-4. In the following number series only one number is wrong. Find out the wrong number.
1. 14 13 22 55 212 1035
(1) 55 (2) 13 (3) 212 (4) 22 (5) None of these
2. 217 224 213 226 210 228
(1) 213 (2) 226 (3) 210 (4) 228 (5) None of these
3. 153 495 712 837 901 928
(1) 712 (2) 837 (3) 901 (4) 928 (5) None of these
4. 488 245 124 64 35 20.25
(1) 124 (2) 64 (3) 245 (4) 35 (5) None of these
5. A 250 metres long train crosses a platform in 10 seconds. What is the speed of the train?
(1) 25 metres/second
(2) 20 metres/second
(3) 22 metres/second
(4) Cannot be determined
(5) None of these
6. The compound interest earned on an amount of Rs 15,000 at the end of 3 years is Rs 3895.68. What is the rate of interest p.c.p.a.?
(1) 8 (2) 6.5 (3) 5 (4) 12 (5) None of these
7. 16 men can complete a piece of work in 8 days. 20 women take 16 days to complete the same piece of work. 12 men and 10 women work together for 6 days. How many
more days would 10 women alone require to complete the remaining piece of work?
(1) 8 (2) 10 (3) 4 (4) 16 (5) None of these
8. In how many different ways can the letters of the word ‘FORMULATE’ be arranged?
(1) 81,000 (2) 40,320 (3) 3,62,880 (4) 1,53,420 (5) None of these
9. The frogs in a pond increase by 10% at the end of every year. If at the start of the year 2004, there were 2,14,000 frogs in the pond, then what would be the number of frogs
in the pond by the end of the year 2006?
(1) 2,35,400 (2) 2,68,940 (3) 2,64,328 (4) 2,98,644 (5) None of these
Qno.10-14. In each of these questions, two equations are given. You have to solve these equations and find out the values of x and y and Give answer If
(1) x
(2) x>y
(3) x ≤y
(4) x ≥y
(5) x=y or if the relationship cannot be established
10. i. 12×2 = 6x
ii. y + x2 = 0.45
11. i. x 6.25
ii. y2 = 6.25
12. i. 20×2 – 33x + 7 = 0
ii. y 0.0625
13. i. 6×2 + 28x + 16 = 0
ii. 14y2 + 15y + 4 = 0
14. i. 4x + 3y = 16
ii. 2x + 4y = 13

15. On children’s day sweets were to be equally distributed amongst 540 children. But on that particular day, 120 children were absent. Thus, each child got 4 sweets extra. How many sweets was each child originally supposed to get?
(1) 18 (2) 25 (3) 14 (4) 20 (5) None of these
16. A boat covers a distance of 24 kms in 10 hours downstream. To cover the same distance upstream, the boat takes two hours longer. What is the speed of the boat in still
waters?
(1) 2 km/hr (2) 2.8 km/hr (3) 4 km/hr (4) 4.2 km/hr (5) None of these
17. The circumference of a circle is equal to the perimeter of a square whose area is 121 sq cms. What is the area of the circle?
(1) 44 sq cms (2) 154 sq cms (3) 121 sq cms (4) Cannot be determined (5) None of these
18. Sonia started a business by investing Rs 60,000. Six months later Vivek joined her by investing Rs 1,40,000. After one year Kirti joined them by investing Rs 1,20,000. At the
end of two years from the commencement of the business, 57 AUGUST 2006 THE COMPETITION MASTER O B J E C T I V E -T Y P E Q U E S T I O N S
they earn a profit of Rs 4,50,000. What is Vivek’s share in the profit?
(1) Rs 1,40,000 (2) Rs 1,98,500 (3) Rs 2,15,000 (4) Rs 2,10,000 (5) None of these
19. An urn contains 4 green and 7 blue marbles. If three marbles are picked at random, what is the probability that only two of them are blue?
(1)4955 (2)711 (3)2855 (4)1128 (5) None of these

Qno.20-24. What should come in place of the question mark (?) in the following questions?
20. 3 5 4 1 1 1 –2 ? 4 8 5 2
(1)7240 (2)7140 (3)3240 (4)3140 (5) None of these
21. 14 × 18.6 ÷ 12 + 19.3 = ?
(1) 41 (2) 33.5 (3) 291.9 (4) 8.32 (5) None of these
22. 84.2 × 642.1 × 78.4 × 563.5 = 56?
(1) 18.2 (2) 9.8 (3) 11.9 (4) 12.6 (5) None of these
23. (4)2 + (3)2 = ?
(1) 25 (2) 5 (3) 125 (4) 425 (5) None of these
24. 53% of 120 + 25% of 862 = ?% of 500
(1) 42.50 (2) 55.82 (3) 63.68 (4) 38.89 (5) None of these
Qno.25-29. Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
(1) if the data in Statement I alone is sufficient to answer the question, while the data in Statement
II alone is not sufficient to answer the question.
(2) if the data in statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
(3) if the data in Statement I alone or in Statement II alone is sufficient to answer the question.
(4) if the data in both the Statements I and II are not sufficient to answer the question.
(5) if the data in both the Statements I and II together are necessary to answer the question.
25. What is the area of the square?
I. Measure of the diagonal of the square is 80 cms.
II. The perimeter of the square is equal to the circumference of a circle.
26. What is Asha’s present salary?
I. Her salary increases every year by 15 per cent.
II. She joined the organization seven years ago.
27. What is the rate of interest p.c.p.a.?
I. The compound interest acurred on an amount of Rs 1,500 at the end of 2 years is Rs 660.
II. An amount doubles itself in 5 years with simple interest.
28. What is the total staff strength of the organization?
I. 75% of the staff consists of male employees.
II. The ratio of female to male employees in the organization is 1 : 3 respectively.
29. What is the two digit number?
I. The sum of the two digits of the number is 8.
II. The number obtained by interchanging the two digits of the number is lesser than the original number by 18.

 Answers:

1. (1)  2. (3) 3. (5) 4. (4) 5. (4) 6. (1) 7. (1) 8. (3) 9. (5) 10. (4)
11. (4) 12. (4) 13. (1) 14. (2) 15. (3) 16. (5) 17. (2) 18. (4) 19. (3) 20. (4)
21. (1) 22. (3) 23. (5) 24. (2) 25. (1) 26. (4) 27. (3) 28. (4) 29. (5)