What is the unit digit in 7 105 ? Options: A . &nbsp1 B . &nbsp5 C . &nbsp7 D . &nbsp9

Answer: Option C Unit digit in 7 105 = Unit digit in [ (7 4 ) 26 x 7 ] But, unit digit in (7 4 ) 26 = 1 Unit digit in 7 105 = (1 x 7) = 7

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Question

What is the unit digit in 7¹⁰⁵ ?

Options:

A . 1

B . 5

C . 7

D . 9

Answer: Option C

Unit digit in 7¹⁰⁵ = Unit digit in [ (7⁴)²⁶ x 7 ]

But, unit digit in (7⁴)²⁶ = 1

Unit digit in 7¹⁰⁵ = (1 x 7) = 7

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