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