**Q1. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in **

(a) 1 hour 12 minutes

(b) 2 hour 30 minutes

(c) 1 hour 15 minutes

(d) 1 hour 20 minutes

**Q2. **

** **

** **

(a) 0

(b) 1

(c) β 1

(d) 2

**Q3. **

** **

** **

(a) 1

(b) 2

(c) 3

(d) 4

**Q4. **

** **

(a) 20

(b) 40

(c) 121.6

(d) 131.6

**Q5. **

** **

(a) 9.3

(b) 10.3

(c) 11.3

(d) 12.3

**Q6. ****Two trains, A and B, start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet if train A is moving at 45 km/hr. , then the speed of the train B is **

(a) 60 km/hr

(b) 64.8 km/hr

(c) 54 km/hr

(d) 37.5 km /hr

**Q7. ****On a journey across Kolkata, a taxi averages 50 km per hour for 50% of the distance, 40 km per hour for 40% of it and 20 km per hour for the remaining. The average speed (in km/hour) for the whole journey is : **

(a) 42

(b) 40

(c) 35

(d) 45

**Q8. **

** **

(a) 0

(b) 1

(c) -1

(d) 2

**Q9. **

** **

(a) 2β2

(b) 2β3

(c) 2

(d) 3

**Q10. ****A part of Rs. 1500 was lent at 10% per annum and the rest at 7% per annum simple interest. The total interest earned in three year was Rs. 396. The Sum lent at 10% was **

(a) Rs. 900

(b) Rs. 800

(c) Rs. 700.

(d) Rs. 600

**Q11. **** In a 45 litres mixture of milk and water, the ratio of the milk to water is 2 : 1. When some quantity of water is added to the mixture, this ratio becomes 1 : 2. The quantity of water added is: **

(a) 10 litres

(b) 21 litres

(c) 35 litres

(d) 45 litres

**Q12. ****A and B can do a piece of work in 10 days, B and C can do it in 12 days, A and C can do it in 15 days. How long will A take to do it alone? **

(a) 24 days

(b) 20 days

(c) 40 days

(d) 30 days

**Q13. ****A nan sells two chairs at Rs. 120 each and by doing so gains 25% on one chair and loses 25% con the other. His loss on the whole in Rs. is **

(a) 20

(b) 16

(c) 25

(d) 30

**Q14. The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is : **

(a) 8.5 cm^{2}

(b) 8.75 cm^{2}

(c) 7.75 cm^{2}

(d) 7.50 cm^{2}

**Q15. ****A number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will be: **

(a) 5

(b) 6

(c) 12

(d) 7

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