Arithmetic

Numericals

Easy

applied

The last digit of $12^{13}$ is :

✅ Correct Option: 3

Only the units digit of the base matters, so consider $2^{13}$ .

The units digits of powers of 2 cycle as $2, 4, 8, 6$ with period 4.

Since $13 \equiv 1 \pmod 4$ , the last digit is the first in the cycle, namely $2$ .

2023: 15 June Shift 2

If $x$ is the least positive integer satisfying $100 \equiv x \pmod{6}$ , then $(2x+1)$ is equal to :

2025: 15 May Shift 1

In a game of billiards, A can give B, 15 points in 60 and A can give C, 20 points in 60. How many points can B give C in a game of 90?

2025: 19 May Shift 1

The unit digit of $12^{12}$ is:

2025: 22 May Shift 1

The unit's digit in $13^{61}$ is

2025: 13 May Shift 2

The non-negative remainder when $7^{30}$ is divided by 5 is

2026: 29 May Shift 2

If $77 \equiv x(mod\ 4)$ , then the least positive value of $x$ is :

The last digit of 121312^{13}1213 is :