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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 29 July 2022, Shift 1, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

Let

S = \{1, 2, 3, \ldots, 2022\}

. Then the probability, that a randomly chosen number n from the set S such that HCF

(n, 2022) = 1

, is :

(1) $\frac{128}{1011}$
(2) $\frac{166}{1011}$
(3) $\frac{127}{337}$
(4) $\frac{112}{337}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.