**Q1. Twice the speed downstream is equal to the thrice the speed upstream, the ratio of speed in still water to the speed of the current is:**

(a) 1 : 5

(b) 5 : 1

(c) 1 : 3

(d) 2 : 3

(e) None of these

**Q2. A boat covers 12 Km upstream and 18 Km downstream in 3 hours, while it covers 36 Km upstream and 24 Km downstream in 6(1/2) hours. What is the speed of the current?**

(a) 1.5 Km/h

(b) 1 Km/h

(c) 2 Km/h

(d) 2.5 Km/h

(e) None of these

**Q3. Vipul decided to donate 5% of his salary. On the day of donation, he changed his mind and donated Rs. 1687.50 which was 75% of what he had decided earlier. How much is Vipul's salary?**

(a) Rs. 37.500

(b) Rs. 45,000

(c) Rs. 33,750

(d) Cannot be determined

(e) None of these

**Directions (4-7) :What value should come in the place of question mark (?) in the following number series?**

**Q4. 342, 463, 613, 792, 1000, ?**

(a) 1089

(b) 1273

(c) 1256

(d) 1149

(e) 1237

**Q5. 9 5 6 10.5 23 ?**

(a) 30

(b) 48

(c) 60

(d) 69

(e) 65

**Q6. (11×11)/(7×7) - (36×?)/(7×7) + (18×18)/(7×7) = 1**

(a) 11

(b) 13

(c) 9

(d) 19

(e) 17

**Q7. 7, 8, 18, 57, ?**

(a) 232

(b) 228

(c) 234

(d) 226

(e) 222

**Q8. Prabha purchased 30 kg of rice at the rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20 per cent overall profit. At what price per kg did he purchase the lot of another 30 kg rice?**

(a) Rs. 14.50

(b) Rs. 12.50

(c) Rs. 15.50

(d) Rs. 13.50

(e) None of the above

**Q9. Two vessels contain milk and water in the ratio 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2 : 1.**

(a) 2 : 1

(b) 1 : 2

(c) 4 : 1

(d) 1 : 4

(e) None of the above

**Q10. The present ages of three persons are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).**

(a) 8, 20, 28

(b) 16, 28, 36

(c) 20, 35, 45

(d) 25, 30, 40

(e) None of these

**Q11. The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages is 34. Find the present age of father.**

(a) 32 years

(b) 36 years

(c) 38 years

(d) 40 years

(e) 39 years

**Q12. The circumference of base of a circular cylinder is 6π cm. The height of the cylinder is equal to diameter of the base. Maximum amount of water that can be poured in the cylinder is**

(a) 54π cm3

(b) 36π cm3

(c) 0.054π cm3

(d) 0.54π cm3

(e) None of these

**Q13. An urn contains 3 red, 6 blue,2 green and 4 yellow balls. If two marbles are picked randomly then the probability that either both are red or both are green is**

(a) 3/5

(b) 4/105

(c) 2/7

(d) 5/91

(e) None of these

**Q14.The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate per cent per annum. The rate per annum is:**

(a) 5%

(b) 6(2/3)%

(c) 6%

(d) 7(1/5)%

(e) None of these

**Q15. What would be the compound interest accrued on an amount of 8000 at the rate of 15% per annum in three years?**

(a) 4283

(b) 4051

(c) 4167

(d) 4325

(e) None of these

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