A rectangular vessel is of 2mt long 0.5mt breadth and 1mt deep. If water flows in at the rate of 900 cubic cm per sec, than the rate of increase of water level when 25 cm deep is

1. 0.09cm/sec

2. 0.1 cm/sec

3. 0.01 cm/sec

4. 0.5 cm/sec

View Answer

Correct Answer :

0.09cm/sec

Explanation :
No Explanation available for this question

The side of an equilateral triangle increases at the uniform rate 0.05 cm/sec. the rate of increase in the area of the triangle when the side is 20 cm is

1. 3sq.cm/sec

2. √3/2sq.cm/sec

3. 1.2sq.cm/sec

4. 4πsq.cm/sec

View Answer

Correct Answer :

√3/2sq.cm/sec

Explanation :
No Explanation available for this question

At a given instant the legs of a right angled triangle are 8 inch and 6 inch respectively. The first leg decreases at 1 inch per minute and second increases at 2 inch per minute. The rate of increasing of the area after 2 minutes

1. 1sq.inch/min

2. 2sq.inch/min

3. 3sq.inch/min

4. 4sq.inch/min

View Answer

Correct Answer :

1sq.inch/min

Explanation :
No Explanation available for this question

A man on a wharf 20mt above the water level pulls in a rope to which a boat is attached at the rate of 4mt per second. At what rate is the boat approaching the shore, when there is still 25mt rope out…

1. 20/3mt/sec

2. 20mt/sec

3. 23mt/sec

4. 23/2mt/sec

View Answer

Correct Answer :

20/3mt/sec

Explanation :
No Explanation available for this question

A man is walking at the rate of 8kmph towards the foot of a tower 60mt high. The rate at which he is approaching the top when he is 80mt from the foot of the tower is

1. 6 km/h

2. 6.4 km/h

3. 7.2 km/h

4. 8 km/h

View Answer

Correct Answer :

6.4 km/h

Explanation :
No Explanation available for this question

An aero plane is flying horizontally at an altitude of 3000 ft directly over an observe. If it is flying with a speed of 300 ft/sec, the rate at which it is moving away from the observe when it is at 5000 ft away from the observe

1. 200 ft/sec

2. 220 ft/sec

3. 240 ft/sec

4. 260 ft/sec

View Answer

Correct Answer :

240 ft/sec

Explanation :
No Explanation available for this question

A ladder 10 meters long with one end against a vertical wall, the other resting on the floor. The lower end moves away from the wall at the rate of 2 meters/min. The rate at which upper end falls when its base is 5meter away from

1. 3 meters/min

2. 2/3 meters

3. 3/2 meters/min

4. -2/√3 meters/min

View Answer

Correct Answer :

-2/√3 meters/min

Explanation :
No Explanation available for this question

A ladder 20 feet long whose top is resting against a vertical wall on a level plane beginning to slide outward. When the foot and top of the ladder are sliding at the same rate, the distance of the foot from the

1. 2√10 ft

2. 10√2 ft

3. 15/√2 ft

4. 2√15 ft

View Answer

Correct Answer :

10√2 ft

Explanation :
No Explanation available for this question

A ladder 20 ft long has one end on the ground and the other in contact with a vertical wall. The lower end slips along the ground. If the foot of the ladder is 16 ft away from the wall then the ratio of the motion of the upper en

1. 2:3

2. 5:7

3. 4:3

4. 7:9

View Answer

Correct Answer :

4:3

Explanation :
No Explanation available for this question

A rod of 10 feet long moves with its ends A and B always on the axes of x and y respectively. If A is 8ft from the origin and is moving away at the rate of 2ft per second. At what rate the area formed by AB and the axes changing

1. 11/3sq.ft/sec

2. 10/3sq.ft/sec

3. -14/3sq.ft/sec

4. -12/3sq.ft/sec

View Answer

Correct Answer :

-14/3sq.ft/sec

Explanation :
No Explanation available for this question

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