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 38

Question 38 - 2019 (10 Jan Shift 2)

Consider the following three statements: P: 5 is a prime number. Q: 7 is a factor of 192. R: L.C.M. of 5 and 7 is 35. Then the truth value of which one of the following statements is true?

(1) $(\sim P) \vee (Q \wedge R)$

(2) $(P \wedge Q) \vee (\sim R)$

(3) $(\sim P) \wedge (\sim Q \wedge R)$

(4) $P \vee (\sim Q \wedge R)$

Type: MCQ

Show Answer

Answer: (4)

Solution

$P$ is True, $Q$ is False, $R$ is True.

(4) $P \vee (\sim Q \wedge R) = T \vee (T \wedge T) = T \vee T = T$


Learning Progress: Step 38 of 42 in this series