JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 2, Maths Q56

Question 56 of 75 in this shift, Maths question 6 of 25.

If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of

(1+x)^{n+5}

are in the ratio

5 : 10 : 14

, then the largest coefficient in this expansion is :

(1) $252$
(2) $330$
(3) $462$ Official answer
(4) $792$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Binomial Theorem
Topic: Binomial Coefficients
Idea tested: Ratio of Consecutive Coefficients

Same idea in other shifts

Asked 9× in all

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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.