If (67^{67}+ 67) is dividing by 68, the remainder is :

Symbiosis National Aptitude Test SNAP 2017 Paper

Question : 3 of 150

Marks: +1, -0

(67^{67}+ 67)

is dividing by 68, the remainder is :

Solution:

When 'n' is odd then R = 0, for this identity

{67^{67}+67}/{67+1}

{67^{67}+1+66}/{67+1}

{67^{67}+1^{67}}/{67+1}+{66}/{67+1}

R = 66
Since

{a^n+b^n}/{a+b}

→ R = 0

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