**Q1. ****The length of the three sides of a right angled triangle are (X-2) cm, (x) cm and (x+2) cm respectively. Then the value of x is **

(a) 10

(b) 8

(c) 4

(d) 0

**Q2. **** The length of the tangent drawn to a circle of radius 4 cm from a point 5 cm away from the center of the circle is **

(a) 3 cm

(b) 4 √2 cm

(c) 5√2 cm

(d) 3√2 cm

**Q3. **** The sum of the HCF and LCM of two number is 680 and the LCM is 84 times the HCF. If one of the number is 56, the other is: **

(a) 84

(b) 12

(c) 8

(d) 96

**Q4. Two alloys are both made up of Copper and tin. The ratio of copper and tin in the first alloy is 1:3 and in the second alloy is 2:5, In what ratio should the two alloys be to obtain a new alloy in which the ratio of tin and copper be 8:3? **

(a) 3:5

(b) 4 : 7

(c) 3:8

(d) 5 : 11

**Q5. ****A and B enter into partnership investing Rs. 48,000 and Rs. 60,000 respectively. After 3 months, A withdraws Rs. 8,000 while B invests Rs. 6,000 after 6 months of starting of business. Out of the total amount of profit, if A gets Rs. 12,000 as his share at the end of the year total profit is : **

(a) Rs. 24,000

(b) Rs. 30,000

(c) Rs. 36,000

(d) Rs. 37,000

**Q6. ****Two pipes A B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in with water in 30 minutes and minutes respectively **

(a) 39 min

(b) 46 min

(c) 40 min

(d) 45 min

**Q7. **

** **

** **

(a) 4/5

(b) 3/5

(c) √3/4

(d) √5/4

**Q8. **

** **

** **

(a) 1

(b) 7

(c) 3

(d) 5

**Q9. **

** **

(a) 1

(b) 2

(c) 3

(d) 4

**Q10. **

** **

(a) -2

(b) -1

(c) 1

(d) 2

**Q11. ****A train covers a distance of 20 km in 24 minutes. If its speed is decreased by 5 km/hr. the time taken by it to cover the same distance will be : **** **

(a) 10 minutes

(b) 26 minutes 40 sec

(c) 13 minutes

(d) 11 minutes 20 sec

**Q12. ****A bus covers three successive 3 km stretches at speed of 10 km/hr, 20 km/hr and 60 km/hr respectively. Its average speed over the distance **

(a) 30 km/hr

(b) 25 km/hr

(c) 18 km/hr

(d) 10 km/h

**Q13. **

** **

(a) – 1

(b) 1

(c) 0

(d) 27

**Q14. **

** **

(a) 2√3

(b) 4

(c) – 4

(d) – 2√3

**Q15. ****Rakesh deposited Rs. 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal, The interest at the end of fourth year is **

(a) Rs. 1716

(b) Rs, 1560

(c) Rs. 3744

(d) Rs. 1872

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