JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q82

Question 82 of 90 in this shift, Maths question 22 of 30, Section B.

Let

S = \{1, 2, 3, 4, 5, 6, 9\}

. Then the number of elements in the set

T = \{A \subseteq S : A \neq \phi

and the sum of all the elements of A is not a multiple of 3

\}

is __________.

Official answer

NTA final key.

Chapter: Relations and Functions
Topic: Permutations and Combinations
Idea tested: Selection of One or More Objects

Same idea in other shifts

Asked 4× 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.