A. 2

B. 4

C. 8

D. 6

E. 0

Answer: C

Explanation:

Concept:

Every digit (0,1,2, 3,…..9) when raised to a power follows a pattern, i.e., there is a cyclicity in the values of units digits when raised to powers.

The pattern for 2:

2^1 - 2

2^2 - 4

2^3 - 8

2^4 - 16

So, if we look at it the unit’s digit pattern for 2 raised to a positive integer is 2, 4, 8 and 6 in that order.

So, to find the unit’s when 2 is raised to any positive integer power, take the power and divide it by 4,

If the

Rem 1 – it ends with 2

Rem 2 – it ends with 4

Rem 3 – it ends with 8

Rem 0(divisible by 4) – it ends with 6

Given,

Unit’s place of 2^99

Note that,

99 divided by 4 remainder is three. So, it ends with 8.

Hence the answer is C.