exam Maths Puzzle

From a point P, on the surface of radius 3cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degree to each other. If A and B takes 18 sec and 6 sec respectively, to complete one revolution along their respective circular paths, then after how much time will they meet again, after they start from P?

A.

27 sec

B.

24 sec

C.

18 sec

D.

9 sec

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exam Other Question

P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A.

250 km

B.

350 km

C.

450 km

D.

500 km A, B and C start simultaneously from X to Y. A reaches Y, turns back and meet B at a distance of 11 km from Y. B reached Y, turns back and meet C at a distance of 9 km from Y. If the ratio of the speeds of A and C is 3:2, what is the distance between X and Y?

A.

99 m

B.

100 m

C.

120 m

D.

142 m