Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down 2 stairs in one turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. (They have less number of stairs than required forward stairs).
How many times can they meet in between on same step?

Options

A. 3
B. 4
C. 5
D. No, they cannot meet in between on same step.

Answer

D

Explanation

LCM (3, 5, 7) =105 step.
Since, total steps are 100 steps, they cannot meet in between on same step.
Thus (d) is correct option.