Question

There is a national level scholarship test. Each school in the country chose their best student who will take part in that test. One such school, $ABC,$ conducted an exam to find the best student of their school. The school principal asked Emilie to create some questions on a topic that will be asked in that test. After consulting with her fellow faculty members, Emilie created the questions that are given below. Now, she needs to verify the answers of these questions to remove all errors. Help her in verifying the answers to these questions.

What are the last two digits of $5^{5555}?$

• A. $05$
• B. $75$
• C. $45$
• D. $25$

Answer 1

The correct option is D $25$

Last two digits of $5^1=05$

Last two digits of $5^2=25$

Last two digits of $5^3=25$

Last two digits of $5^4=25$

Last two digits of $5^5=25$

So, we can see that the last two digits of $5^{n+1}$ (where n is a natural number) is always $25$.

Thus, the last two digits of $5^{5555}=25$

Hence, option $B$ is the correct answer.