NIFT UG 2014 Question Paper with solutions

Question : 67 of 150

Marks: +1, -0

Find the value of

(1-1/3)(1-1/4)(1-1/5)...(1-1/100)

Solution:

(1-{1}/{3})(1-{1}/{4})(1-{1}/{5})...(1-{1}/{100})

={2}/{3}×{3}/{4}×{4}/{5}×. . ..{98}/{99}×{99}/{100}

=2×{1}/{100}={1}/{50}

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