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Question

Question: 11<sup>3</sup> + 12<sup>3</sup> + 13<sup>3</sup> + ...+20<sup>3</sup> –...

113 + 123 + 133 + ...+203

A

Is not divisible by 5

B

Is an odd integer divisible by 5

C

An even integer divisible by 5

D

None of these

Answer

Is an odd integer divisible by 5

Explanation

Solution

113+123 +....203=(13+23+...203) – (13 + 23 ...103)

= (20×21/2)2 – (10×10/2)2

̃ 44100 – 3025 = 41075