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When simplified, the product ( 2 - 1/3) (2 - 3/5) (2 - 5/7) ...... (2 - 997/999) is equal to?

5/999
1001/999
1001/3
None of these

Correct Answer: 1001/3

Explanation:

Given Exp. ( 2 - 1/3) (2 - 3/5) (2 - 5/7) ...... (2 - 997/999)
= (5/3) x (7/5) x (9/7) x .......... x (1001/999)
= 1001/3.

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