Mathematical Logic And Boolean Algebra Question 57

Question: If p: 4 is an even prime number, q: 6 is a divisor of 12 and r: the HCF of 4 and 6 is 2, then which one of the following is true?

Options:

A) $ (p\wedge q) $

B) $ (p\vee q)\wedge \tilde{\ }r $

C) $ \tilde{\ }(q\wedge r)p $

D) $ \tilde{\ }p\vee (q\wedge r) $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Given that p: 4 is an even prime number. q: 6 is a divisor of 12. and r: the HCF of 4 and 6 is 2.
$ \therefore \tilde{\ }p\vee (q\wedge r) $ is true.



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
कृपया अपनी पसंदीदा भाषा चुनें