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Find the remainder when 11911^9119​ + 7 is divided by 10.
Question

Find the remainder when 11911^9​ + 7 is divided by 10.

A.

8

B.

7

C.

1

D.

9

Correct option is A

Given:
Find the remainder when 119+711^9 + 7​ is divided by 10.
Solution: 

119+710\frac{ 11^9 + 7 }{10} 

11910+710\frac{11^9} {10} + \frac{7}{10} 

(10+1)210+710\frac{(10+ 1)^2} {10} +\frac{7}{10} 

= 1 + 7 = 8 
Remainder of given expression = 8 

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