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# 9th Class - Math | Chapter: Number Systems MCQs

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## Q1) The value of $$\sqrt[4]{\sqrt[3]{2^{2}}}$$ is equal to

(A) 2–$$\frac{1}{6}$$
(B) 2-6
(C) 2$$\frac{1}{6}$$
(D) 26

## Q2) Find the value of $$\sqrt[3]{\frac{54}{250}}$$

(A) $$\frac{9}{25}$$
(B) $$\frac{3}{5}$$
(C) $$\frac{27}{125}$$
(D) $$\frac{\sqrt[3]2}{5}$$

(A) 16
(B) 4
(C) 0
(D) 1

## Q4) Find the value of $$\sqrt[4]{64^{-2}}$$.

(A) $$\frac{1}{8}$$
(B) $$\frac{1}{2}$$
(C) 8
(D) $$\frac{1}{64}$$

## Q5) Find the value of $$\sqrt[3]{216}$$ – $$\sqrt[3]{125}$$

(A) 1
(B) -1
(C) $$\sqrt[3]{91}$$
(D) $$\frac{6}{5}$$

(A) 5√3
(B) 3√5
(C) 5√5
(D) 3√3

## Q7) If √3 = 1.732 and √2 = 1.414, find the value of $$\frac{1}{√3-√2}$$

(A) 0.318
(B) 3.146
(C) $$\frac{1}{3.146}$$
(D) $$\sqrt{1.732}$$ – $$\sqrt{1.414}$$

## Q8) Which of the following numbers is an irrational number?

(A) $$\sqrt{16}$$ – 4
(B) (3 – √3) (3 + √3)
(C) √5 + 3
(D) –$$\sqrt{25}$$

## Q9) The decimal expansion of √2 is

(A) finite decimal
(B) 1.4121
(C) non-terminating recurring
(D) non-terminating non-recurring

## Q10) If x = $$\frac{√7}{5}$$ and $$\frac{5}{x}$$ = p√7, then the value of p is

(A) $$\frac{5}{√7}$$
(B) $$\frac{25}{7}$$
(C) $$\frac{7}{25}$$
(D) $$\frac{√7}{5}$$

## Q11) The sum of 0.$$\bar{3}$$ and 0.$$\bar{2}$$ is

(A) $$\frac{5}{99}$$
(B) $$\frac{5}{9}$$
(C) $$\frac{5}{10}$$
(D) $$\frac{5}{100}$$

(A) a + b
(B) a – b
(C) 2√a
(D) 2√b

(A) 2√6
(B) 3√6
(C) 4√6
(D) 6√6

## Q14) Find the value of $$\frac{2^0+7^0}{5^0}$$

(A) 2
(B) 0
(C) $$\frac{9}{5}$$
(D) $$\frac{1}{5}$$

## Q15) A rational number lying between √2 and √3 is

(A) $$\frac{√2+√3}{2}$$
(B) √6
(C) 1.6
(D) 1.9

## Q16) The rational number between –$$\frac{1}{5}$$ and –$$\frac{2}{5}$$ is

(A) 4
(B) –$$\frac{1}{4}$$
(C) –$$\frac{3}{10}$$
(D) –$$\frac{7}{25}$$

## Q17) If 8x = $$\frac{64}{2^x}$$ then find the value of x.

(A) 4
(B) 2
(C) $$\frac{1}{2}$$
(D) $$\frac{3}{2}$$

(A) 9
(B) 3
(C) 1
(D) 0

## Q19) Value of [(81-1/2)-1/4]² is

(A) 3
(B) $$\frac{1}{3}$$
(C) 9
(D) $$\frac{1}{9}$$

(A) 49
(B) 2
(C) 12
(D) 7