61). A boat can travel 4.2 km upstream in 14 minutes. If the respective ratio of speed of the boat in still water and speed of the stream is 7 : 1. How much time will the boat take to cover 17.6 km downstream ? (in minutes)
| A). 52 |
| B). 44 |
| C). 48 |
| D). 36 |
|
62). A tank has 3 inlets X, Y and Z and 1 outlet. P, Y fills the empty tank in 3 times the time taken by Z to fill the empty tank completely. X fills the empty tank completely in 1.5 times the time taken by Y to fill the empty tank completely. Also, Z fills the empty tank completely in half the time taken by P to empty the full tank completely. If the time taken to fill the empty tank completely when all of them are opened simultaneously is \( \Large 3 \frac{15}{19} \) hours. how much time (in hours) will P take to empty the full tank completely ?
| A). \( \Large 6 \frac{1}{2} \) |
| B). 6 |
| C). 8 |
| D). 4 |
|
63). Three typists P, Q and R have to type 368 pages. P types one page in 8 minutes. Q in 18 minutes and R in 24 minutes. In what time will these pages be typed if they work together?
| A). 25 hours |
| B). 27.6 hours |
| C). 27 hours |
| D). 28 hours |
|
64). The distance between two points is 36 km. A boat rows in still water at 6 kmph. It takes 8 hours less to cover this distance in downstream in comparison to that in upstream. The rate of stream is
| A). 3 kmph |
| B). 2 kmph |
| C). 2.5 kmph |
| D). 4 kmph |
|
65). Boat A travels upstream from point X to point Y in 2 hours more than the time taken by Boat B to travel downstream from point Y to point Z. The distance between X and Y is 40 km and that distance between Y and Z is 24 km. The speed of Boat B in still water is 10 km/h and the speed of Boat A in still water is equal to the speed of Boat B downstream. What is the speed of Boat A in still water? (Consider the speed of the current to be the same).
| A). 20 km/h |
| B). 10 km/h |
| C). 12 km/h |
| D). 14 km/h |
|
66). A boat takes 3 hours less time in rowing from point X to point Y in downstream than that in rowing from point Y to point Z in upstream. The distance between X and Y is 20 km which is half of the distance between Y and Z. Speed of boat B in still water is 10 kmph. The speed of boat A in still water is equal to the rate upstream of boat B. What is the speed of boat A in still water? (in kmph).
| A). 12 |
| B). 8 |
| C). 10 |
| D). 11 |
|
67). Some students planned a picnic. The budget for food was Rs. 500. But, 5 of them failed to go and thus the cost of food for each member increased by Rs. 5. How many students attended the picnic ?
| A). 15 |
| B). 20 |
| C). 25 |
| D). 30 |
|
68). River is running at 2 kmph. It took a man twice as long to row up as to row down the river. The. rate (in km ph) of the man in still water is :
|
69). Three pipes A, B and C can till a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the cistern is :
| A). 12 |
| B). 14 |
| C). 16 |
| D). 18 |
|
70). The angles of a convex hexagon in degrees are integers and in arithmetic progression. L and M denote the largest of these 6 angles. Then the maximum value that M can take is :
| A). 125 degree |
| B). 150 degree |
| C). 175 degree |
| D). 179 degree |
|
