Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Open MARKS Web Download App
Search any question & find its solution
Question: Answered & Verified by Expert
If p, q and r are three logical statements, then the truth value of the statement p∧q∨∼q→r, where p is true, is
MathematicsMathematical ReasoningJEE Main
Options:
  • A True if q is false
  • B False if q is false
  • C True if q is true
  • D False if q is true
Solution:
2775 Upvotes Verified Answer
The correct answer is: True if q is true
Clearly, if q is true, p is true then p∧q is true
Hence, p∧q∨~q→r is true irrespective of r

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play