JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 July 2022, Shift 2, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1, 2, 3, 4, 5 and 6 without repetition of digits. Then the total number of such numbers is ___________.

Official answer

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Fundamental Counting Principle

Same idea in other shifts

Asked 13× in all

3 Apr 2025, Shift 1 · Q21If the number of seven-digit numbers, such that the sum of their digits is even, is $m \cdot n \cdot 10^n$ ;…MediumNumerical value
8 Apr 2024, Shift 1 · Q23The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7, when the repetition of digits is not allowed, and which are not…MediumNumerical value
1 Feb 2024, Shift 2 · Q22The lines $L_1, L_2, \ldots, L_{20}$ are distinct. For $n=1,2,3,\ldots,10$ all the lines $L_{2n-1}$ are parallel to each other and all the…MediumNumerical value
13 Apr 2023, Shift 2 · Q22Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4, 5 with repetition, is ______MediumNumerical value
27 Jul 2022, Shift 1 · Q28Let $S$ be the set containing all $3 \times 3$ matrices with entries from $\{-1, 0, 1\}$ . The total number of matrices $A \in S$ such that…HardNumerical value
28 Jul 2022, Shift 1 · Q21Let S be the set of all passwords which are six to eight characters long, where each character is either an alphabet from $\{A,B,C,D,E\}$ …MediumNumerical value
25 Jun 2022, Shift 1 · Q22The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is __________.HardNumerical value
25 Jun 2022, Shift 1 · Q29Let A be a $3\times3$ matrix having entries from the set $\{-1,0,1\}$ . The number of all such matrices A having sum of all the entries…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.