Irrational numbers between 2 Rational Numbers

Q. Infinite number of irrational numbers lie between any two rational numbers on a number line.

1. True
2. False

Q. Choose between which of the two rational numbers does $\pi$ lies ?

1. $\frac{5}{4}$ and $\frac{13}{3}$
2. $\frac{3}{8}$ and $\frac{7}{8}$
3. $\frac{6}{7}$ and $\frac{14}{7}$
4. None of the above

Q. Which of the following irrational numbers lie between $\frac{5}{11}$ and $\frac{7}{11}$

1. $2\sqrt{2}$
2. $\frac{\sqrt{3}}{3}$
3. $\sqrt{5}-\frac{17}{10}$
4. None of the above.

Q. Which of the following irrational number lie between $1$ and $2$?

1. $\sqrt{2}$
2. $\sqrt{3}$
3. $\sqrt{5}$
4. (a) and (b) above.

Q. The probability of choosing an irrational number at random is $1.$

1. True
2. False

Q. How many irrational numbers can exist between two rational numbers?

1. Only one irrational number
2. Infinite number of irrational numbers
3. Exactly two irrational numbers
4. No irrational numbers

Q. Which of the irrational number does not lie between $\frac{3}{25}$ and $\frac{7}{25}$ ?

1. $-\sqrt{2}$
2. $\sqrt{7}$
3. $4-\sqrt{2}$
4. $2-\sqrt{3}$