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
Q2. If x and y are complementary angles, then the value of sinx cosy + cosx siny- tanx tany+sec2x-cot2y =?
Q3. find the sum of factors of 14000 is-
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-
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.
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-
(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?
(B) Rs 290.20
(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
(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