UGC NET CSE | December 2023 | Part 2 | Question: 57

Question

Which of the following statement are truth statements if universe of disclosure is set of integers :

1. $\forall \mathrm{n}\left(\mathrm{n}^{2} \geqslant 0\right)$
2. $\exists \mathrm{n}\left(\mathrm{n}^{2}=2\right)$
3. $\forall \mathrm{n}\left(\mathrm{n}^{2} \geqslant \mathrm{n}\right)$
4. $\exists n\left(n^{2}<0\right)$

Choose the correct answer from the options given below :

• A. $\text{(I)}$ and $\text{(II)}$ Only
• B. $\text{(II)}$ and $\text{(III)}$ Only
• C. $\text{(III)}$ and $\text{(IV)}$ Only
• D. $\text{(I)}$ and $\text{(III)}$ Only

Answer 1

4