**Q1.** A Boat takes 66 2/3% more time upstream than that of downstream to cover a certain distance. While difference between the speed of downstream and upstream is 10 km/hr. speed of the boat in still water is:-

**(A) **23 km/hours

**(B) **24 km/hours

**(C)** 20 Km/hours

**(D)** 25km/hours

**Q2. ** If x and y are complementary angles, then the value of sinx cosy + cosx siny- tanx tany+sec2x-cot2y =?

**(A)** 1

**(B)** -1

**(C)** 2

**(D) **0

**Q3.** find the sum of factors of 14000 is-

**(A)** 5428

**(B) **38688

(**C)** 32128

**(D) **30180

**Q4.** A batsman, in his 12th innings, makes a score of 63 runs and there by increased his average score by 2 runs. The average of his score after 12th innings is-

**(A) **41

**(B) **42

**(C)** 34

**(D) **35

**Q5.** The amount of work in a factory is increased by 50%. By what % is it necessary to increase the number of workers to complete the new amount of work in planned time, If the new labour is 25% more efficient.

**(A)** 60%

**(B) **66.66%

**(C)**20%

**(D) **33.33%

**Q6.** Three spheoical balls of radius 1cm,2cm and 3cm are melted to form a single spherical ball. In the process the loss of material is 25%, then the radius of new ball is-

**(A)** 6cm

**(B)** 5 cm

**(C)** 3 cm

**(D) **2 cm

**Q7.** A lend Rs.16000 on simple interest for 3 years at 7 ½ % per annum. How much more should have A gained, had A given it at compound interest at the same rate and for the same time?

**(A)** Rs399.20

**(B) **Rs 290.20

**(C)** Rs298.20

**(D) **none of these.

**Q8. ** A tank is to be filled with water through five pipes. The first pipe can fill it in 1 hour, the second,the third and the fourth together can fill it in 15 minutes; the second,the third and the fifth fill it in 20 minutes, the fourth and the fifth together in half an-hour. In what time will the tank be filled if all time will the tank be filled if all the five pipes work simultaneously?

**(A) **11 1/13 minute

**(B) **9 3/13minute

**(C) **4 1/13minute

**(D) **8 1/13minute

**Q9.** A Boat is being rowed away from a cliff 150 m high. At the top of the cliff the angle of depression of the boot changes from 60o to 45o in 2 minutes. The Speed of the boat is .

**(A) **4.5 km/hr

**(B) **1.9 km/hr

**(C)**2.4 km/hr

**(D)** 3 km/hr

**Q10.** An item was bought at Rs x and sold at Rs y, there by earning a profit of 20% Had the value of x been 15% less and the value of y Rs 76 less, a profit of 30% would have been earned. What was the value of x ?

**(A) **Rs 640

**(B)** Rs 400

**(C)** Rs 600

**(D) **Rs 800

__Solutions:__