JEE PYQ: Binomial Theorem Question 20
Question 20 - 2020 (03 Sep Shift 1)
If the number of integral terms in the expansion of $(3^{1/2} + 5^{1/8})^n$ is exactly 33, then the least value of $n$ is:
(1) 264 (2) 128 (3) 256 (4) 248
Show Answer
Answer: (3)
Solution
$r$ must be a multiple of 8. $n/8 + 1 = 33 \Rightarrow n = 256$.