Question : What is the remainder when $3^8$ is divided by 7?
Option 1: 5
Option 2: 4
Option 3: 6
Option 4: 2
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 2
Solution :
To find: The remainder when $3^8$ is divided by 7
= remainder ($\frac{3^8}{7}$)
= remainder ($\frac{(3^2)^4}{7}$)
= remainder ($\frac{(9)^4}{7}$)
9 divided by 7 will leave the remainder of 2.
So, remainder = remainder ($\frac{2^4}{7})$
= remainder ($\frac{16}{7}$)
= 2
Hence, the correct answer is 2.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates BrochureYour Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.