Find the number by which (49)15−1 is exactly divisible by:

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We know that xn−an is exactly divisible by x−a.
We can write (49)15−1 as (49)15−115
Then, we can say (49)15−115 is exactly divisible by 49−1=48
But we do not have any option as 48.
Also, since 48 divides the given number completely, the factors of 48 will also divide the given number completely.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 24, 48.
From the given options, we can say 8 divides the given completely.
Hence, Option (4) is the correct answer.

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th