JEE Main 2008 — Mathematical Reasoning Question with Solution
JEE Main 2008
Question
Let be the statement " is an irrational number", be the statement " is a transcendental number", and be the statement " is a rational number iff is a transcendental number".
Statement : is equivalent to either or
Statement is equivalent to .
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement is true, Statement is false.
Step-by-step explanation
Given statement
Statement
Statement
From the truth table of and , .
Hence Statement is true and Statement is false.
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This is a previous-year question from JEE Main 2008, 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.