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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardApplication

JEE Main 30 January 2024, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics and Chemistry. It was found that all students passed in atleast one of the subjects, 20 students passed in Mathematics, 25 students passed in Physics, 16 students passed in Chemistry, atmost 11 students passed in both Mathematics and Physics, atmost 15 students passed in both Physics and Chemistry, atmost 15 students passed in both Mathematics and Chemistry. The maximum number of students passed in all the three subjects is __________.

Official answer

10

NTA final key.

Chapter
Relations and Functions
Topic
Sets and Relations
Idea tested
Inclusion-Exclusion for Three Sets

Same idea in other shifts

Asked 4× in all
  1. 11 Apr 2023, Shift 1 · Q1An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five…EasySingle correct
  2. 26 Jun 2022, Shift 1 · Q27Let A={n∈N:H.C.F. (n,45)=1}A = \{n \in \mathbf{N} : \mathrm{H.C.F.}\,(n, 45) = 1\} and Let B={2k:k∈{1,2,…,100}}B = \{2k : k \in \{1, 2, \ldots, 100\}\}. Then the sum of all the…MediumNumerical value
  3. 22 Jul 2021, Shift 2 · Q86The sum of all the elements in the set {n∈{1,2,..........,100}∣H.C.F.\{\mathrm{n}\in\{1, 2, .........., 100\}\mid\mathrm{H.C.F.} of n and 20402040 is 1}1\} is equal to…MediumNumerical value

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.