M4maths Previous Puzzles

02 Apr 2014 Solve

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) 0.75 m from corner
3) 0.5 m from corner
4) 1 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)None of these

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

Option 2)

Correct Option: 2 Best Solution (2)

RAKESH   11 years AGO

0.5 + 0.5/2 = 0.75 m

Like? Yes (10) | No (3)  

Ann Theressa   11 years AGO

Distance from left corner of 1st side = 0.5 + 0.5/2
=0.5 + 0.25 = 0.75m from corner

Like? Yes (4) | No (1)