**Qno.1-4. I**n 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 percent/annum?

(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<y

(2) x>y

y (3) x ≤

y (4) x ≥

(5) x=y or if the relationship cannot be established

10. i. 12×2 = 6x

ii. y + x2 = 0.45

6.25 =11. i. x

ii. y2 = 6.25

12. i. 20×2 – 33x + 7 = 0

0.0625 =ii. y

13. i. 6×2 + 28x + 16 = 0

ii. 14y2 + 15y + 4 = 0

14. i. 4x + 3y = 16

ii. 2x + 4y = 13

** **question No. 15 to 29

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

THE AUGUST 2006 end of two years from the commencement of the business, 57 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