Q1. The speed of a boat in still water is 5 km/hr and speed of current is 3 km/hr. If time taken to cover a certain distance upstream is 8 hours, then how long will the boat take to cover the same distance downstream?
(a) 2.5 hrs. (b) 3 hrs. (c) 2 hrs. (d) 3.5 hrs. (e) 1.5 hrs.
Q2. Downstream speed of a boat is 5 km/hr more than its upstream speed and the speed of boat in still water is 280% more than the speed of sream. Find the total time taken by boat to travel 42 km in downstream and 31.5 km in upstream?
(a) 7 ½ hr (b) 8 hr (c) 9 hr (d) 9 ½ hr (e) 10 hr
Q3. Speed of stream of river is 20% of speed of boat in downstream and time taken to cover 48 km in upstream is 4 hr. and speed of boat in still water is equal to speed of train A which cross a standing man in 36 sec. Then find length of train A ?
(a) 220 m (b) None of these (c) 240 m (d) 120 m (e) 160 m
Q4. Find the speed of stream if a boat covers 36 km in downstream in 5 hours which is 3 hours less in covering the same distance in upstream.
(a) 1.35 km/hr (b) 1.24 km/hr (c) 1.15 km/hr (d) 2.2 km/hr (e) None of these
Q5. Time taken by boat to cover 164 km in upstream is 50% more than time taken by boat while returning. Find the time taken by man to cover 100 km in still water if speed of man is equal to speed of boat in still water and speed of stream is 10 km/hr? (a) 4 hr (b) 6 hr (c) 5 hr (d) 2 hr (e) 3 hr
Q6. Three friends run around a circular track can complete a single loop in 24 min, 32 min and 56 min respectively. If they started running from the same initial point then after how much time they will meet together for first time?
(a) 8.4 hours (b) 9.6 hours (c) 11.2 hours (d) 6.4 hours (e) 10 hours
Q7. A man covers half of total distance with 12 km/h and another half distance with 24km/h. Find his average speed.
(a) 12 km/h (b) 16 km/h (c) 10 km/h (d) 18 km/h (e) 6 km/h
Q8. Two busses start from Delhi to Karnal at 8 am and 10 am respectively. Speed of bus starting at 8 a.m. and speed of bus starting at 10 a.m. is 20 m/sec and 25 m/sec respectively. If distance between Delhi to Karnal is 200 km then at what time faster bus will catch the slower bus?
(a) 8h (b)10 h (c) 12 h (d) 6 h (e) 14 h
Q9. Ratio of the speeds of Ajay and Ramesh is 2 : 5. If Ajay covers 240 km in 8hrs then in how much time Ramesh will cover 780 km of distance?
(a) 10hrs 24minutes (b) 5 hrs 48 minutes (c) 8 hrs 40minutes (d) 12 hrs 20 minutes (e) 10 hrs and 36 minutes
Q10. A person covered 9 km at 3 km/hr, 15 km at 5 km/hr and 30 km at 10 km/hr. then find the average speed of person in covering the entire distance?
(a) 5 km/hr (b) 6 km/hr (c) 7 km/hr (d) 8 km/hr (e) 7.5 km/hr
Q11. If ratio between volume of a cylinder and volume of sphere is 3 : 1, then find the ratio between total surface area of cylinder to total surface area of sphere [Radius of sphere = Radius of cylinder]
(a) 2 : 1 (b) 5 : 2 (c) 4 : 1 (d) 3 : 2 (e) 7 : 2
Q12. The side of a square is 25% more than the side of an equilateral triangle whose perimeter is 48 m. Find the ratio between area of square to area of triangle.
Q13. A rectangular field cost Rs. 110 for leveling at 50 paise per square meter. If the ratio of length to breadth is 11 : 5. Find the breadth of field ?
(a) 12 m (b) 10 m (c) 5 m (d) 16 m (e) 15 m
Q14. A pyramid with a square base of side 3 cm and height 7 cm is carved out of a rectangular block of wood 7 cm × 3 cm × 3 cm. Find the percentage of wood wasted in the process?
Q15. The length of rectangular field is thrice its breadth. If Rs 480 is required to paint the floor at the rate Rs 2.5 per sq m, then what would be the difference between the length and breadth of the field? (a) 16 m (b) 8 m (c) 12 m (d) 24 m (e) 20 m