Chapter 1 – Number Systems

1. Can we write 0 in the form of \( \frac{p}{q} \)?

2.) The three rational numbers between 3 and 4 are:

3.) In between any two numbers there are:

4.) Every rational number is:

5.) \(\sqrt{9}\) is a __________ number.

6.) Which of the following is an irrational number?

7.) 3\(\sqrt{6} + 4\sqrt{6}\) is equal to:

8.) \(\sqrt{6} x \sqrt{27}\) is equal to:

9.) Which of the following is equal to \(x^{3}\) ?

10.) Which of the following are irrational numbers?

11. \(\sqrt[4]{\sqrt[3]{3^{2}}}\)

12.) The product of a rational and an irrational numbers is:

13.) The product \(\sqrt[3]{2}.(2)^{\frac{-1}{3}}.\sqrt[12]{32}\)

14.) A rational number between \( \sqrt{2} and \sqrt{3}:\)

15.)Which of the following is irrational?

16.) \(4\sqrt{5} + 5\sqrt{5}\) is equal to:

17.) Which of the following is irrational?

18.) \(\sqrt{12} X \sqrt{15}\) is equal to:

19.) Which of the following is equal to x2?

20.) The calue of \(\sqrt[4]{(16)^{-2}}\)

21.) In between two rational number there is/are:

22.) What would be the denominator after rationalizing \(7/(5\sqrt{3} – 5\sqrt{2})\)?

23.) The decimal expansion of an irrational number may be:

24.) If \(\sqrt{3}\) = 1.732, then \(\sqrt{\frac{\sqrt{3}-1}{\sqrt{3}+1}}\) is equal to:

25.) Value of (256)0.16 X (256)0.09 is:

26. Which of the following is a rational number?

27 In between two rational number there is/are:

28 The product of a rational and an irrational numbers is:

29 If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

30 The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is: