**Q1. ****In a right angled triangle ABC, ****∠****ABC= 90° ,AB=3cm ,BC=4 ,CA=5. BN is perpendicular to AC , AN:NC is **

(a) 3:4

(b) 9:16

(c) 3:16

(d) 1:4

**Q2. ****PQ is a chord of length 8 cm of a circle with center O and radius 5 cm. The tangents at P and Q intersect at a point T. The length of TP is **

(a) 20/3 cm

(b) 21/4 cm

(c) 10/3 cm

(d) 15/4 cm

**Q3. **** Which greatest number will divide 3026 and 5053 leaving remainder 11 and 13 respectively? **

(a) 19

(b) 30

(c) 17

(d) 45

**Q4. Three vessels whose capacities are in the ratio of 3:2:1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5:2, 4:1 and 4:1 respectively. Taking 1/3 of first, 1/2 of second and 117 of third mixtures, a new mixture kept in a new vessel is prepared. The percentage of water in the new Mixture is **

(a) 32

(b) 28

(c) 30

(d) 24

**Q5. ****A started a business by investing Rs. 50,000. After a month’s B joined her by investing Rs. 75,000. After its 6 months C joined with Rs. 1,25,000. What is the ratio of profit shared after 2 years among A, B and C? **

(a) 4: 5 : 6

(b) 8: 9 : 10

(c) 8:9:12

(d) 4: 5: 8

**Q6. ****Having the same capacity 9 taps fill up a water tank in 20 minutes. How many taps of the same capacity are required to fill up the same water tank in 15 minutes **

(a) 10

(b) 12

(c) 15

(d) 18

**Q7. **

** **

** **

(a) 4

(b) 3

(c) 5

(d) 7

**Q8. **

** **

** **

(a) 2

(b) 3

(c) 0

(d) 1

**Q9. **

** **

(a) (a ) 0.069

(b) 0.0069

(c) 0.00069

(d) 0.0609

**Q10. **

** **

(a) 25

(b) 125

(c) 250

(d) 625

**Q11. ****A train covers a certain distance in 210 minutes at a speed of 60 kmph. The time taken by the train, to cover the same distance at a speed of 80 kmph is : **

(a) 29/8 hours

(b) 21/8 hours

(c) 37/8 hours

(d) 3 Hours

**Q12. ****A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed 30 km/ hr. The average speed. (in km/hr) of the train in the whole journey is **

(a) 20

(b) 22.5

(c) 24

(d) 25

**Q13. **

** **

(a) 1/3

(b) 14/23

(c) 2/3

(d) 14/13

**Q14. **

** **

(a) 30/31

(b) 70/31

(c) 35/31

(d) 37/31

**Q15. ****A man lent Rs. 60,000, partly at 5% and the rest at 4% simple interest. If the total annual interest is Rs.2560, the money lent at 4% was: **

(a) Rs. 40000

(b) Rs. 44000

(c) 30000

(d) Rs.45000

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