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The number of squares that we can find on a chess board is

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a
64
b
160
c
224
d
204

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detailed solution

Correct option is D

To get a square of size r x r, we must choose (r + 1) consecutive horizontal and (r + 1) consecutive vertical lines. This can be done in (9 – r) (9 – r) = (9 – r)2 ways.


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There are 15 points in a plane, no two of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is


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