JEE Main 2019MathematicsBinomial TheoremEasyMCQ

JEE Main 2019 — Binomial Theorem Question with Solution

JEE Main 2019 (12 Jan Shift 2)

Question

The total number of irrational terms in the binomial expansion of 715-311060 is

Choose an option

Show full solutionCorrect option: C
Correct answer
C54

Step-by-step explanation

General term is  60Cr71560-r-3110r

We will get rational term when r is multiple of 10 and 60-r is multiple of 5.

∴r=0, 10, 20, 30, 40 ,50, 60

∴Number of irrational term = Total terms - Number of rational terms

=60+1-7=54.

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About this question

This is a previous-year question from JEE Main 2019, covering the Binomial Theorem chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.