JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 February 2021, Shift 2, Maths Q88

Question 88 of 90 in this shift, Maths question 28 of 30, Section B.

The total number of 4-digit numbers whose greatest common divisor with

18

3

, is __________.

Official answer

1000

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Principle of Inclusion-Exclusion in Counting

Same idea in other shifts

Asked 4× in all

12 Apr 2023, Shift 1 · Q23Let the digits a, b, c be in A. P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive…HardNumerical value
26 Jun 2022, Shift 2 · Q25The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ______.HardNumerical value
31 Aug 2021, Shift 2 · Q82The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ______________.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.