Questions
If [x] denotes the greatest integer less than or equal to x, then
a
is an even integer
b
is an odd integer
c
depends on n
d
none of these
detailed solution
Correct option is A
Let l+f=(66+14)2n+1Assuming, f'=(66−14)2n+1 …… (1)Now, I+f−f'=(66+14)2n+1−(66−14)2n+1⇒I+f−f=2 2n+1C1(66)2n141+2n+1C3(66)2n+2(14)3+…⇒ I+f−f'=2 (Integer) = even …… (2)Now, 0≤f<1Also, 0≤f−f'<1∴ 0≤f−f'<0⇒f−f'=0Substituting respective values in (2), we getI = even integerTalk to our academic expert!
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