Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For positive integers 
the value of the expression 
, where 
is a real number if and only if
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Simplifies using powers of 
modulo 4:
So it becomes:
Each pair 
is always real for any positive integer 
.
Therefore, the expression is real for all positive integers 
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems