8 sticks are available to make a rectangle. One side of the rectangle is taken along east direction

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05 Mar 2014 Solve

8 sticks are available to make a rectangle. One side of the rectangle is taken along east direction whereas second side is taken along north direction. How many rectangles can be made by using these sticks. It is not compulsory to use all the sticks in a trial.

OPtion

1) 9
2) 5
3) 4
4) 3
5) 2
6) 1
7) 6
8) 7
9) 8
10) None of these

Solution

By using 4 sticks, there is 1 possibility.

By using 6 sticks, there are 2 possibilities.

First contains two sticks along north & one stick along east.
Second contains one stick along north & two sticks along east.

By using 8 sticks, there are 3 possibilities.
First contains two sticks along north & two sticks along east.
Second contains three sticks along north & one stick along east.
Third contains one stick along north & three sticks along east.

Correct Option: 7 Best Solution (0)