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Question

If a,b and c are positive integers, then a+cb+c is

A
always smaller than ab
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B
always greater than ab
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C
greater than ab only if a>b
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D
greater than ab only if a<b
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Solution

The correct option is D greater than ab only if a<b
Let,a+cb+c>ab
ab+bc>ab+ac
bc>ca
b>a
a+cb+c>ab, if b>a
Hence, option 'D' is correct.

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