JEE Main 2008 — Mathematical Reasoning Question with Solution
From: AIEEE 2008
Question
Statement –1: r is equivalent to either q or p.
Statement –2: r is equivalent to
Choose an option
Show full solutionCorrect option: A
Step-by-step explanation
p : x is an irrational number
q : y is a transcendental number
r : x is a rational number, if y is a transcendental number
r : p q
S1 : r q p
and S2 : r (p q)
| p | q | r |
Statement I |
Statement II |
|||
|---|---|---|---|---|---|---|---|
| T | T | F | F | F | T | F | T |
| T | F | F | T | T | T | T | F |
| F | T | T | F | T | T | T | F |
| F | F | T | T | F | F | F | T |
It is clear from the table that r is not equivalent to either of the statements.
Therefore, both statements are false.
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Mathematical Reasoning chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
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.