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The sides of a triangle are 2006 cm, 6002 cm and m cm, where m is a positive integer. Find the number of such possible triangles.

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The sides of a triangle are 2006 cm, 6002 cm and m cm, where m is a positive integer. Find the number of such possible triangles.
A. 1
B. 2006
C. 3996
D. 4011
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Correct Answer - D
From the inequality of triangles, we have:
`6002+2006 gt m` and `6002-2006 lt m`
`rArr 3996 lt m lt 8008`
Since m is an integer, it can take `(8008-3996-1)` or 4011 values.
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