/

Learn

Saturday, 31 October

/

JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 1, Maths Q55

Question 55 of 75 in this shift, Maths question 5 of 25.

If the number of integral terms in the expansion of

\left(3^{\frac{1}{2}}+5^{\frac{1}{8}}\right)^n

is exactly 33, then the least value of n is :

(1) $128$
(2) $248$
(3) $256$ Official answer
(4) $264$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Binomial Theorem
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.