JEE Main 2020MathematicsSets and RelationsMediumMCQ

JEE Main 2020 — Sets and Relations Question with Solution

JEE Main 2020 (04 Sep Shift 2)

Question

Let ∪i=150Xi=∪i=1nYi=T, where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi's and exactly 6 of sets Yi's then n is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D30

Step-by-step explanation

∪i=150Xi=∪i=1nYi=T

From question's conditions

10×5020=5n6

⇒n=30

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About this question

This is a previous-year question from JEE Main 2020, covering the Sets and Relations 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.