sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language

JEE PYQ: Mathematical Reasoning Question 18

Question 18 - 2020 (05 Sep Shift 2)

The statement $(p \to (q \to p)) \to (p \to (p \vee q))$ is:

(1) equivalent to $(p \wedge q) \vee (\sim q)$

(2) a contradiction

(3) equivalent to $(p \vee q) \wedge (\sim p)$

(4) a tautology

Type: MCQ

Show Answer

Answer: (4)

Solution

The truth table of $(p \to (q \to p)) \to (p \to (p \vee q))$ is always T. Hence, the statement is tautology.


Learning Progress: Step 18 of 42 in this series