JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 26 August 2021, Shift 1, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs infection. If K% of them are suffering from both ailments, then K can not belong to the set :

(1) $\{84, 86, 88, 90\}$
(2) $\{80, 83, 86, 89\}$
(3) $\{79, 81, 83, 85\}$ Official answer
(4) $\{84, 87, 90, 93\}$

Official answer

Option 3

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Venn Diagrams

Same idea in other shifts

Asked 5× 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.