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Question

The largest positive integer for which (x4)(x2)(x1)(x5)0 is

A
2
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B
1
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C
5
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D
4
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Solution

The correct option is D 4
The above-given inequality changes signs across 1,2,4,5.
The expression is negative in the intervals: (1,2] and [4,5)
and positive in all other intervals.
Hence, the largest integer for which it is satisfies given equation is 4.

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