JEE Main 2021MathematicsMathematical ReasoningEasyMCQ

JEE Main 2021 — Mathematical Reasoning Question with Solution

JEE Main 2021 (27 Jul Shift 2)

Question

Which of the following is the negation of the statement "for all M>0, there exists x∈S such that x≥M''?

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Show full solutionCorrect option: A
Correct answer
Athere exists M>0, such that x<M for all x∈S

Step-by-step explanation

P: for all M>0, there exists x∈S such that x≥M

~P: there exists M>0, for all x∈S such that x<m 

Negation of 'there exsits' is 'for all'.

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About this question

This is a previous-year question from JEE Main 2021, covering the Mathematical Reasoning 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.