**Q1. ****A pump can fill a tank with water in 2hours. Because of a leak in the tank it was taking 7/3 hours to fill the tank. The leak can drain all the water off the tank in: **

(a) 8 Hours

(b) 7 Hours

(c) 13/3 Hours

(d) 14 Hours

**Q2. **

** **

** **

(a) -1/2

(b) 1

(c) 0

(d) 1/2

**Q3. **

** **

** **

(a) 1/4

(b) 1/√3

(c) 1/2

(d) 1/5

**Q4. **

** **

(a) 780

(b) 390

(c) 1560

(d) 130

**Q5. **

** **

(a) 3

(b) 2

(c) 0

(d) √3

**Q6. ****How II any seconds will a train 120 meters long running at the rate of 36 km/hr. take to cross a bridge of 360 meters in length? **

(a) 48 sec

(b) 36 sec

(c) 46 sec

(d) 40 sec

**Q7. ****A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11.30 am. The two trains cross one another at **

(a) 8:36 am

(b) 8:56 am

(c) 9:00 am

(d) 9:24 am

**Q8. **

** **

(a) 1

(b) 37

(c) 324

(d) 361

**Q9. **

** **

(a) 3

(b) 4

(c) 0

(d) 2

**Q10. ****In a certain time, the ratio of a certain principal and interest obtained from it are in the ratio 10 : 3 at 10% interest per annum This number of years for which the money was invested is **

(a) 1 years

(b) 3 years

(c) 35 year

(d) 4 years

**Q11. ****Vessels A and B contain mixtures of milk and water in the ratio 4: 5 and 5 : 1 X respectively.In what ratio should quantities ofmixture be taken from A form a mixture in which milk to water is inthe ratio 5 : 4? **

(a) 2 : 5

(b) 4: 3

(c) 5:2

(d) 2: 3

**Q12. ****Ganga and Saraswati, working separately can mow a field in 8 and 12 hours respectively. If they work in stretches of one hour alternatively. Ganga beginning at 9 am, when will the mowing be completed? **

(a) 6 p.m.

(b) 6.30 p.m.

(c) 5 p.m.

(d) 5.30 p.m.

**Q13. ****A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained 50/3% .The cost price of the commodity is **

(a) Rs. 32

(b) Rs. 36

(c) Rs. 40

(d) Rs. 48

**Q14. The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p _{1}, p_{2}, and p_{3}.The length of each side of the triangle is **

(a) 2/√3(p_{1}+p_{2}+ p_{3} )

(b) 1/3(p_{1}+p_{2}+ p_{3} )

(c) 1/√3(p_{1}+p_{2}+ p_{3} )

(d) 4/√3(p_{1}+p_{2}+ p_{3} )

**Q15. ****The sum of first sixty numbers from one to sixty is divisible by **

(a) 15

(b) 59

(c) 60

(d) 61

**1.** d **2.** c **3.** c **4.** a **5.** c **6.** a **7.** d **8.** a **9.** d **10.** b **11.** c **12.** b **13.** c **14.** a **15.** d