Check the below NCERT MCQ Questions for Class 9 Maths Chapter 1 Number Systems with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Number Systems Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

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## Number Systems Class 9 MCQs Questions with Answers

Question 1.
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

Answer: (c) 2$$\frac{1}{6}$$

Question 2.
Find the value of $$\sqrt[3]{\frac{54}{250}}$$
(a) $$\frac{9}{25}$$
(b) $$\frac{3}{5}$$
(c) $$\frac{27}{125}$$
(d) $$\frac{\sqrt[3]2}{5}$$

Answer: (b) $$\frac{3}{5}$$

Question 3.
Simplified value of (16)–$$\frac{1}{4}$$ × $$\sqrt[4]{16}$$ is
(a) 16
(b) 4
(c) 1
(d) 0

Question 4.
Find the value of $$\sqrt[4]{64^{-2}}$$.
(a) $$\frac{1}{8}$$
(b) $$\frac{1}{2}$$
(c) 8
(d) $$\frac{1}{64}$$

Answer: (a) $$\frac{1}{8}$$

Question 5.
Find the value of $$\sqrt[3]{216}$$ – $$\sqrt[3]{125}$$
(a) 1
(b) -1
(c) $$\sqrt[3]{91}$$
(d) $$\frac{6}{5}$$

Question 6.
When 15$$\sqrt{15}$$ is divided by 3√3 find the quotient.
(a) 5√3
(b) 3√5
(c) 5√5
(d) 3√3

Question 7.
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) $$\sqrt{1.732}$$ – $$\sqrt{1.414}$$

Question 8.
Which of the following numbers is an irrational number?
(a) $$\sqrt{16}$$ – 4
(b) (3 – √3) (3 + √3)
(c) √5 + 3
(d) –$$\sqrt{25}$$

Question 9.
The decimal expansion of √2 is
(а) finite decimal
(b) 1.4121
(c) non-terminating recurring
(d) non-terminating non-recurring

Question 10.
If x = $$\frac{√7}{5}$$ and $$\frac{5}{x}$$ = p√7, then the value of p is
(а) $$\frac{5}{√7}$$
(b) $$\frac{25}{7}$$
(c) $$\frac{7}{25}$$
(d) $$\frac{√7}{5}$$

Answer: (b) $$\frac{25}{7}$$

Question 11.
The sum of 0.$$\bar{3}$$ and 0.$$\bar{2}$$ is
(а) $$\frac{5}{99}$$
(b) $$\frac{5}{9}$$
(c) $$\frac{5}{10}$$
(d) $$\frac{5}{100}$$

Answer: (b) $$\frac{5}{9}$$

Question 12.
(√a + √b) (√a – √b) is
(a) a + b
(b) a – b
(c) 2√a
(d) 2√b

Question 13.
$$\sqrt{12}$$ × √8 is equal to
(a) 2√6
(b) 3√6
(c) 4√6
(d) 6√6

Question 14.
Find the value of $$\frac{2^0+7^0}{5^0}$$
(a) 2
(b) 0
(c) $$\frac{9}{5}$$
(d) $$\frac{1}{5}$$

Question 15.
A rational number lying between √2 and √3 is
(a) $$\frac{√2+√3}{2}$$
(b) √6
(c) 1.6
(d) 1.9

Question 16.
The rational number between –$$\frac{1}{5}$$ and –$$\frac{2}{5}$$ is
(a) 4
(b) –$$\frac{1}{4}$$
(c) –$$\frac{3}{10}$$
(d) –$$\frac{7}{25}$$

Answer: (c) –$$\frac{3}{10}$$

Question 17.
If 8x = $$\frac{64}{2^x}$$ then find the value of x.
(a) 4
(b) 2
(c) $$\frac{1}{2}$$
(d) $$\frac{3}{2}$$

Answer: (d) $$\frac{3}{2}$$

Question 18.
The simplified value of (81)–$$\frac{1}{4}$$ × $$\sqrt[4]{81}$$ × (81)0.2 is
(a) 9
(b) 3
(c) 1
(d) 0

Question 19.
Value of [(81-1/2)-1/4]² is
(a) 3
(b) $$\frac{1}{3}$$
(c) 9
(d) $$\frac{1}{9}$$

Question 20.
If x1/12 = 491/24 then find the value of x.
(a) 49
(b) 2
(c) 12
(d) 7