Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The Number of integral values of 
(where 
) such that the equation 
has exactly 5 solutions (where [.] and {.) are respectively the greatest integer and fractional part functions), is
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)
We have,
This will have five solutions 
, if
Hence, 
has 3 integral values.
──────────────────────────────────────────────────────────────────────────────────────────
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
If denotes the greatest integer less than or equal to , then the solutions of the equation are
If is defined for all real , then the value of can be
If , where the greatest integer less than or equal to , then must be such that
The solution of the equation , is
If , then is equal to
The number of solutions of the equation , is