**Q1. ****2 is what percent of 50? **

(a) 2%

(b) 2.5%

(c) 4%

(d) 5%

**Q2. **** A motorboat in still water travels at a speed of 36 kmph. It goes 56 km upstream in 1 hour 45 minutes. The time taken by it to cover the same distance down the stream will be : **

(a) 2 hrs 25 min.

(b) 3 hrs

(c) 1 hrs 24 min.

(d) 2hrs 21 min

**Q3. ****In how many years will Rs. 2,000, amounts to Rs. 2420 at 10% per annum compound interest? **

(a) 3 years

(b) 5/2 years

(c) 2 years

(d) 3/2 years

**Q4. ****A discount of 15% on one article is the same as discount of 20% on a second article. The costs of the two articles can be : **

(a) Rs.85Rs. 60

(b) Rs.60 Rs. 40

(c) Rs. 40 Rs. 20

(d) Rs.80 Rs.60

**Q5. ****The angle of elevation of the top of a chimney and roof of the building for a point on the ground are x and 45° respectively. The height of building is h meter. Then the height of the chimney, (in meter) is **

(a) h cot x + h,

(b) h cot x – h

(c) h tan x – h

(d) h tan x + h

**Q6. ****In ΔABC, AD is the internal bisector of ****∠****A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is **

(a) 2: 1

(b) 1: 2

(c) 4: 5

(d) 3 : 5

**Q7. **** Δ ABC is an isosceles triangle and AB = AC = 2a unit, BC = a unit, Draw AD ****⊥**** BC, and find the length of AD. **

(a) √15 a unit

(b) )√15/2 a unit

(c) √17 a unit

(d) √17/2 a unit

**Q8. ****The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each students get same number of pens and same number of pencils, is: **

(a) 91

(b) 910

(c) 1001

(d) 1911

**Q9. A barrel contains a mixture of wine and water in the ratio 3:1 . How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1 : 1 ? **

(a) 1/4

(b) 1 / 3

(c) 2/3

(d) 3/3

**Q10. ****A working partner gets 20% as his commission of the profit after his commission is paid, If the working partner’s commission is Rs. 8000, Then what is the total profit in the business? **

(a) Rs.47,000

(b) Rs.48,000

(c) Rs. 45,000

(d) None of these

**Q11. ****A pipe can fill the tank with water in 3 hours. Due to a leakage in bottom it takes 7/2 hours to fill it. In what time the leak will empty the fully filled tank **

(a) 12 hours

(b) 21 hours

(c) 13/2 hours

(d) 21/2 hours

**Q12. **

** **

** **

(a) 2

(b) 3

(c) 1/2

(d) 1

**Q13. **

** **

** **

(a) tan^{2}α

(b) tan^{2}β

(c) sin^{2}β

(d) sec^{2}α

**Q14. **

** **

(a) 0.02

(b) 0.03

(c) 0.003

(d) 3.0

**Q15. **

** **

(a) 1

(b) 0.1

(c) 0.01

(d) 0.001

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