JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 26 June 2022, Shift 2, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ______.

Official answer

150

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
31 Aug 2021, Shift 2 · Q82The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ______________.MediumNumerical value
26 Feb 2021, Shift 2 · Q88The total number of 4-digit numbers whose greatest common divisor with $18$ is $3$ , 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.