**Directions (1-5): In the following questions two equations numbered I and II are given. You have to solve both the equations and–**

Given answer:

(a) if x

> y

> y

(b) if x ³ y

(c) if x

< y

< y

(d) if x £ y

(e) x = y or

the relationship cannot be established

the relationship cannot be established

**Q6. On sports day, if 30 children were made to stand in a column, 16 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed?**

(a) 20

(b) 21

(c) 22

(d) 18

(e) None of these

**Q7. On a test consisting of 30 questions. Number of wrong answers is 50 percent less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?**

(a) 3:2

(b) 4:1

(c) 5:1

(d) 2:1

(e) None of these

**Q8. A and B invested the same capital in a business. At the year-end they share the profit in the ratio 3:2. If A has invested his capital for whole year, for how many months B has invested his capital?**

(a) 6 months

(b) 8 months

(c) 9 months

(d) 5months

(e) None of these

**Q9. Anshu and Brawn have incomes in the ratio 5:3. The expenses of Anshu, Brawn and Chen are in the ratio 8:5:3. To find the income of Anshu, which of the following information(s) is/are sufficient?**

(A) Chen spends Rs. 2000

(B) Brawn saves Rs. 700

(C) Brawn spends Rs. 5000

(a) Only A and B together are sufficient

(b) Only B and C together are sufficient

(c) A, B and C together are necessary

(d) Either A and B together or C alone sufficient

(e) Either A and B together or B and C together are sufficient

**Q10. Manish and Satish were in partnership business for several years. At the end of 1997, a profit of Rs. 35000 was made by the two. To find out the share of Manish which of the following statements is/are sufficient?**

A. Manish invested Rs. 35000 at the beginning of the year 1997.

B. Satish withdrew his capital at the end of the month of July.

C. Satish get 1/5 of his investment as share in profits.

(a) A and B together are sufficient

(b) B and C together are sufficient

(c) A and C together are sufficient

(d) All the three even together are not sufficient

(e) All the three together are necessary

**Directions (11-15): Find the value of ‘?’ in the given number series.**

**Q11. 2, 28, 252, 1008, 3150, 7740, ?**

(a) 38697

(b) 17306

(c) 32704

(d) 16758

(e) 16856

**Q12. 15, 25, 40, 130, ?, 2560**

(a) 500

(b) 520

(c) 490

(d) 480

(e) None of these

**Q13. 124, 112, 176, 420, 1488, ?**

(a) 8568

(b) 7140

(c) 5712

(d) 6150

(e) None of these

**Q14. 8484, 4248, 2112, 1074, 513, ?**

(a) 201

(b) 280.5

(c) 256.5

(d) 171

(e) None of these

**Q15. 6, 13, 38, ?, 532, 2675**

(a) 129

(b) 123

(c) 172

(d) 164

(e) None of these