JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 5 April 2024, Shift 2, Maths Q1

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

Let the set

S=\{2, 4, 8, 16, \ldots, 512\}

be partitioned into 3 sets

A, B, C

with equal number of elements such that

A \cup B \cup C = S

and

A \cap B = B \cap C = A \cap C = \phi

. The maximum number of such possible partitions of

S

is equal to :

(1)1710
(2)1520
(3)1680Official answer
(4)1640

Official answer

Option 3

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Division of Objects into Groups

Same idea in other shifts

Asked 3× in all

6 Apr 2026, Shift 2 · Q7A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10 $^{\text{th}}$ …MediumSingle correct
24 Feb 2021, Shift 2 · Q85The students $\mathrm{S_1, S_2, \ldots., S_{10}}$ are to be divided into 3 groups A, B and C such that each group has at least one student…HardNumerical 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.