Please submit your concern

Explanation:

The given expression can be written as

16n2n+7nn+6n=16n+7+6n

Since n is an integer, the expression (16n + 7) will always be an integer. Hence, for the entire expression to be an integer, the part 6n should also be an integer.
This can be possible only if n is a factor of 6, viz. n = 1, 2, 3, 6, –1, –2, –3 and –6.

Hence, n can have eight values.

Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All