Question

Find the digits at the tens place of $6^{24}$.

• A. $3$
• B. $1$
• C. $9$
• D. $5$

Answer 1

The correct option is C $9$

Let us understand the pattern of tens digits in powers of $6$.
The tens digit of $6^2=36$ is $3$
The tens digit of $6^3=....16$ is $1$
The tens digit of $6^4=....96$ is $9$
The tens digit of $6^5=....76$ is $7$
The tens digit of $6^6=....56$ is $5$
The tens digit of $6^7=....36$ is $3$
Hence, option (D) is the correct answer.