Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Which of the following is divisible by Option: 1 <img alt="5^{2 n}+1," s

Which of the following is divisible by 13?

Option: 1

5^{2 n}+1, if n is even 


Option: 2

5^{2 n}-1, if n is odd


Option: 3

5^{2 n}-3, if n is even


Option: 4

5^{2 n}+1, if n is odd


Answers (1)

best_answer

5^{2 n}-1=25^n-1=(26-1)^n-1

If n is even, the last term will cancel and the remaining terms will be divisible by 26.

5^{2 n}+1=25^n+1=(26-1)^n+1

If n is odd, the last term will cancel and the remaining terms will be divisible by 26.

Posted by

sudhir.kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 session 2 answer key out for BArch, BPlanning; response sheet on jeemain.nta.nic.in
anam-khan

JEE Mains 2025 Paper 2 Answer Key LIVE: BArch final answer key PDF expected soon at jeemain.nta.nic.in
anam-khan

JEE Main 2025 response sheet errors: Delhi HC allows student to apply for JEE Adv, seeks NTA explanation

Latest Question