Miscellaneous Test

Result

Miscellaneous Test - 64

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Weekly Quiz Competition

Question 1
4 / -1

Two cars A and B are moving uniformly on two straight roads at right angles to one another at 40 and 20 km/hr respectively. A passes the intersection of the road when B has still to move 50 km to reach it. The shortest distance between the two cars and the time when they are closest arc

A
20√2 km, 30 minutes

B
20 km, 10 minutes

C
20 km, 20 minutes

D
None of these

Solution
Question 2
4 / -1

A person travelling towards eastwards at the rate of 4 km/hr finds that the wind seems to blow directly from the north. On doubling his speed it appears to come from north-east. ‘[he velocity and direction of the wind are

A

B

C

D
None of these

Solution
Question 3
4 / -1

If a moving particle has two equal velocities inclined at an angle 2α such that their resultant velocity is twice as great as when they are inclined at an angle 2β, then

A

B

C

D

Solution
Question 4
4 / -1

The speed of a boat in a river is u m/sec and that of the current is v m/sec. The boat traverse a distance of d metres down the stream and then comes back to its original position. The average speed of the boat for to and from journey is

A

B

C

D

Solution
Question 5
4 / -1

A 30 m wide canal is flowing at the rate of 20 m/min. A man can swim at the rate of 25 m/min. in still water. The time taken by him to cross the canal perpendicular to the flow is

A
1.0 min

B
1.5 min

C
2.0 min

D
2.5 min

Solution
Question 6
4 / -1

If a particle moves in a straight line with uniform acceleration, the distance traversed by it in consecutive seconds are in

A
A.P.

B
G.P.

C
H.P.

D
None of these

Solution
Question 7
4 / -1

If a point moves with constant acceleration from A to B in the straight line AB has velocities ii and v at A and B respectively, then the velocity at C, the mid-point of AB is

A

B

C

D
None of these

Solution
Question 8
4 / -1

A particle is moving in a straight line with initial velocity u and uniform acceleration f. If the sum of the distances travelled in tth and (t + 1)th seconds is 100 cm, then its velocity after t seconds, in cm/sec. is

A
20

B
30

C
50

D
80

Solution
Question 9
4 / -1

A point moves from rest with constant acceleration. If it covered part of its total distance in its last second of 25 motion, then upto what time is travelled

A
5 sec

B

C
(a) and (b) both are true

D

Solution
Question 10
4 / -1

A body starts from rest and moves in a straight line with uniform acceleration F, the distances covered by it in second, fourth and eighth seconds are

A
In arithmetic progression

B
In geometrical progression

C
In the ratio 1 : 3 : 7

D
In the ratio 3 :7 : 15

Solution