Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If [x] denotes greatest integer less than or equal to x, then 
is equal to
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
1 3 x –1 < [1 3 x] 1 3 x
2 3 x –1 < [2 3 x] 2 3 x
. . .
. . .
. . .
n 3 x –1 < [n 3 x] n 3 x
Adding all these inequilities
(1 3 + 2 3 + 3 3 ...........+ n 3 ) x – n < [1 3 x] + [2 3 x] + ...........[n 3 x] ≤ (1 3 + 2 3 + ..........n 3 ) x
< 
≤ 
< 
≤ 
≤ 
∴ 
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