**Q1. ****In a ΔABC, AB ^{2 }+ AC^{2 }= BC^{2 } And BC =√2AB,then **

**∠**

**ABC is**

(a) 30°

(b) 45°

(c) 60°

(d) 90°

**Q2. ****For a triangle ABC, D and E are two points on AB and AC such that AD =1/4 AB,AE=1/4 AC. If BC=12cm, then DE is **

(a) 5 cm

(b) 4 cm

(c) 3 cm

(d) 6 cm

**Q3. **** The HCF and LCM of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is: **

(a) 48

(b) 36

(c) 24

(d) 16

**Q4. There are 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture? **

(a) 1: 2

(b) 1:1

(c) 2: 1

(d) 4:5

**Q5. ****We have to divide a sum of Rs. 13,950 among three persons A, B and C. B must get the double of A’s share and C must get Rs 50 less than the double of B’s share. The share of A will be : Rs 13,950 **

(a) Rs. 1950

(b) Rs. 1981.25

(c) Rs. 2000

(d) Rs. 2007

**Q6. ****Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty in it 4 hours. If the pipe can empty it in 4 hours. If the pipe be opened in order at 8, 9 and 11 a.m. respectively , the tank will be emptied at **

(a) 11:40 a.m.

(b) 12:40 p.m.

(c) 1:40 p.m.

(d) 2:40 p.m.

**Q7. **

** **

** **

(a) sin (a+b/2) = cos c/2

(b) cos (a+b/2) = sin c/2

(c) tan (a+b/2) = sec c/2

(d) cot (a+b/2) = tan c/2

**Q8. **

** **

** **

(a) 13/12

(b) 12/11

(c) 11/9

(d) 17/15

**Q9. **

** **

(a) 1

(b) 3

(c) 6

(d) 8

**Q10. **

** **

(a) 32

(b) 8

(c) 1

(d) 0

**Q11. ****2 km 5 m is equal to ? **

(a) 2.5 km

(b) 2.005 km

(c) 2.0005 km

(d) 2.05 km

**Q12. ****A man goes from a place A to B at a speed of 12 km/hr and returns from B to A at a speed of 18 km/hr, The average speed for the whole journey is **

(a) 72/5 km/hr

(b) 15 km/hr

(c) 31/2km/hr

(d) 16 km/hr

**Q13. **

** **

(a) 100

(b) 101

(c) 102

(d) 1000

**Q14. **

** **

(a) 3

(b) 9

(c) 1/3

(d) 1/9

**Q15. ****On a certain sum, the simple**** interest at the end of 25/4 years becomes 3/8 of the sum. The rate of interest is **

(a) 5%

(b) 6%

(c) 7%

(d) 8%

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