Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If R = (6 
+ 14) 2n + 1 and f = R – [R], where [.] denotes the greatest integer function then R. f =
Text Solution
Verified by ExpertsThe correct answer is:
C
R = (6 
+14) 2n=1 =[R]+f= 2n+1 C 0 (6 
) 2n+1 +......
– (6 
– 14) 2n+1 = f = 2n+1 C 0 (6 
) 2n+1 –.........
[R] + f – f ' = even Integer
⇒ f – f ' = Integer
⇒ f – f ' = 0
f = f '
⇒ R. f = R f '
= (6 
+14) 2n+1 . (6 
–14) 2n+1 = (216 – 169)
2n+1
= (20) 2n+1
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