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Question

The value of [12+1+13+2+14+3+15+4+....+116+15] is equal to

A
9
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B
27
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C
81
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D
3
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Solution

The correct option is D 3
12+1+13+2+14+3+15+4+...+116+15
By rationalising the denominator of every term,
=12+1×2121+13+2×3232+14+3×4343+15+4×5454+...+116+15×16151615
=2121+3232+4343+5454+...+16151615
=21+32+43+54+...+1615
=1+16=1+4=3

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