Arithmetic

Numericals

Easy

applied

The units digit in $12^{108}$ is:

✅ Correct Option: 3

The units digit of $12^{108}$ is the units digit of $2^{108}$ .

Powers of $2$ cycle as $2,4,8,6$ with period $4$ , and $108$ is divisible by $4$ , so the digit is the fourth in the cycle, namely $6$ .

2026: 25 May Shift 1

The least non-negative remainder when $3^{200}$ is divided by 8 is :

2025: 26 May Shift 2

The least non-negative remainder when $2^{75}$ is divided by 5 will be:-

2025: 2 June Shift 1

The unit's digit of $2^{2025}$ is

2025: 14 May Shift 2

The least non-negative remainder when $2^{101}$ is divided by 5 is:

2025: 15 May Shift 2

The unit's digit of $12^{12}$ is equal to:

2025: 29 May Shift 2

Match List-I with List-II

List-I	List-II
(A) Unit's digit of $2^{11}$	(I) 2
(B) Unit's digits of $11^{132}$	(II) 1
(C) Remainder when $71 \times 73 \times 75$ is divided by 23	(III) 4
(D) Remainder when $7^{30}$ is divided by 5	(IV) 8

Choose the correct answer from the options given below:

The units digit in 1210812^{108}12108 is: