JEE Main 2017MathematicsProbabilityHardMCQ

JEE Main 2017 — Probability Question with Solution

JEE Main 2017 (02 Apr)

Question

If two different numbers are taken from the set 0, 1, 2, 3,....., 10; then the probability that their sum as well as absolute difference are both multiple of 4, is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A655

Step-by-step explanation

Required favourable cases are 0, 4,0, 8,2, 6,2, 10,4, 8,6, 10

So, favourable cases =6

Total cases =11C2=11×102=55

Hence, the required probability =655

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About this question

This is a previous-year question from JEE Main 2017, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.