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02 Oct 2009 Carom Board Puzzle

A carom board is of size 2.5 m × 2.5 m. Striker is placed on a side at a position 0.5 m from the left corner.
For overcoming the condition of foul it is necessary to touch the queen placed on right side at a position 0.5 m
from the side where striker is placed. If player wants to make a two collision rebound then he should make
an impact on the first side at a distance of

OPtion

1) 0.8 m from corner
2) 1 m from corner
3) 0.5 m from corner
4) 0.75 m from corner
5) 0.6 m from corner
6) 1.25 m from corner
7) 1.4 m from corner
8) 1.3 m from corner
9) 1.5 m from corner
10) 0.25 m from corner

Solution

Let striker makes first impact at a distance x from the corner and second at a distance y from other corner.
First draw a plot for this condition. Then according to plot
x/0.5 = (2.5-x)/y => xy = 0.5(2.5-x) ..... Equation 1
and y/(2.5-x) = (2.5-y)/2 => 2y =(2.5-x) (2.5-y) .....Equation 2
On solving these equations we get x = 0.75 m

Correct Option: 4 Best Solution (0)