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

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

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.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE