## MCQ Questions for Class 9 Maths Chapter 1 Number System with Answers

MCQs from Class 9 Maths Chapter 1 – Number System are provided here to help students prepare for their upcoming Maths exam.

MCQs from CBSE Class 9 Maths Chapter 1: Number System

**1. Can we write 0 in the form of p/q?**

a. Yes

b. No

c. Cannot be explained

d. None of the above

**Answer/Explanation**

Answer: (a)

Explanation: 0 is a rational number and hence it can be written in the form of p/q.

Example: 0/4 = 0

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

a. 5/2,6/2,7/2

b. 13/4,14/4,15/4

c. 12/7,13/7,14/7

d.11/4,12/4,13/4

**Answer/Explanation**

Answer: (b)

Explanation: There are many rational numbers in between 3 and 4

To find 3 rational numbers, we need to multiply and divide both the numbers by 3+1 = 4

Hence, 3 x (4/4) = 12/4 and 4 x (4/4) = 16/4

Thus, three rational numbers between 12/4 and 16/4 are 13/4, 14/4 and 15/4.

**3.) In between any two numbers there are:**

a. Only one rational number

b. Many rational numbers

c. Infinite rational numbers

d. No rational number

**Answer/Explanation**

Answer: (c)

Explanation: Take the reference from question number 2 explained above.

**4.) Every rational number is:**

a. Whole number

b. Natural number

c. Integer

d. Real number

**Answer/Explanation**

Answer: (d)

**5.) √9 is a __________ number.**

a. Rational

b. Irrational

c. Neither rational or irrational

d. None of the above

**Answer/Explanation**

Answer: (a)

Explanation: √9 = 3. Hence, 3 is a rational number.

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

a. √16

b. √(12/3)

c. √12

d. √100

**Answer/Explanation**

Answer: (c)

Explanation: √12 cannot be simplified to a rational number.

**7.) 3√6 + 4√6 is equal to:**

a. 6√6

b. 7√6

c. 4√12

d. 7√12

**Answer/Explanation**

Answer: (b)

Explanation: 3√6 + 4√6 = (3+4)√6 = 7√6

**8.) √6 x √27 is equal to:**

a. 9√2

b. 3√3

c. 2√2

d. 9√3

**Answer/Explanation**

Answer: (a)

Explanation: √6 x √27 = √(6 x27) = √(2x3x3x3x3) = 3×3√2 = 9√2

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

a. x

^{6}-x

^{3}

b. x

^{6}.x

^{3}

c. x

^{6}/x

^{3}

d. (x

^{6})

^{3}

**Answer/Explanation**

Answer: (c)

Explanation: x^{6}/x^{3} = x^{6-3} = x^{3}

**10.) Which of the following are irrational numbers?**

a. √23

b. √225

c. 0.3796

d. 7.478478

**Answer/Explanation**

Answer: (a)

Explanation: √23 = 4.79583152331…

Since the number is non-terminating non-recurring, hence, it is an irrational number.

**Answer**

Answer: (b)

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

a) Always an integer

b) Always a rational number

c) Always an irrational number

d) Sometimes rational and sometimes irrational

**Answer**

(c)

**Answer**

(a)

**14.)** A rational number between √2 and √3:

a) 1.9

b) (√2. √3)/2

c) 1.5

d) 1.8

**Answer**

(c)

**15.)**Which of the following is irrational?

**Answer**

(c)

**16.)** 4√5 + 5√5 is equal to:

a) 9√5

b) 9√10

c) 5√10

d) 7√5

**Answer**

(a) (ii) and (iii)

**17.)** Which of the following is irrational?

**Answer**

(a)

**18.)**√12 X √15 is equal to:

a) 5√6

b) 6√5

c) 10√5

d) √25

**Answer**

(b)

**19.)** Which of the following is equal to *x*^{2}?

**Answer**

(d)

**20.)**

a) 1/4

b) 1/2

c) 4

d) 1/16

**Answer**

(b)

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

a) Exactly one rational number

b) Infinitely many rational number

c) Many irrational numbers

d) Only irrational numbers

**Answer**

(b)

**22.)** What would be the denominator after rationalizing 7/(5√3 – 5√2)?

a) 19

b) 20

c) 25

d) None of these

**Answer**

(d)

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

a) Terminating

b) Recurring

c) Either terminating or non- terminating

d) Non-terminating and non-recurring

**Answer**

(d)

**24.)**

a) 2.732

b) 0.2679

c) 0.732

d) 0.517

**Answe**

(d)

**25.)** Value of (256)^{0.16} X (256)^{0.}09 is:

a) 4

b) 16

c) 64

d) 256.25

**Answer**

(a)