Rational Numbers between 2 Irrational Numbers

Q. Which of the following rational numbers lies between irrational numbers $2-\sqrt{3}$ and $5-\sqrt{3}$ ?

1. $\frac{3}{5}$
2. $\frac{47}{15}$
3. $\mathrm{2.3333....}$
4. All of the above.

Q. How many rational numbers lie between $\sqrt{7}$ and $\sqrt{11}$ ?

1. One
2. Zero
3. Infinite
4. Hundred

Q. Which of the following rational number lies between irrational numbers $\mathrm{3.1488234.....}$ and $\mathrm{4.23213344333....}$ ?

1. $5.2345$
2. $\frac{7}{2}$
3. $\frac{8}{15}$
4. All of the above.

Q. The rational number $\frac{3}{8}$ lies between which of the rational number ?

1. $-\sqrt{2}$ and $\sqrt{2}$
2. $\sqrt{3}$ and $\sqrt{5}$
3. $\sqrt{7}$ and $\sqrt{11}$
4. None of the above

Q. Which of the following rational number lie between $\sqrt{2}$ and $\sqrt{5}$.

1. $\frac{1}{2}$
2. $\frac{8}{5}$
3. $\frac{7}{2}$
4. All of the above.