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Question

The value of 11+2+12+3+13+4+14+5+15+6+16+7+17+8+18+9 is :

A
4
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B
2
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C
0
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D
1
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Solution

The correct option is B 2
Given,
11+2+12+3+13+4+14+5+15+6+16+7+17+8+18+9.

Multiplying numerator and denominator of each term by their conjugate, we get,

=21(2)212+32(3)2(2)2+43(4)2(3)2+54(5)2(4)2+65(6)2(5)2+76(7)2(6)2+87(8)2(7)2+98(9)2(8)2

=21+32+43+54+65+76+87+98.

All the terms will cancel out except for 1 and 9, then

=1+9=1+3=2.

Therefore, option B is correct.

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