Maths MCQ Class IX Ch-1 I Number System

  Mathematics

MCQ | Class 09 | Chapter 1
Real Numbers

Multiple Choice Questions (MCQ)

• MCQ Based on the  Number System

• MCQ  Based on the different types of decimals

• MCQ Based on the rationalization of numbers

Features

• In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
• Solution Hints are also given to some difficult problems. 
• Each MCQ contains four options from which one option is correct. 

Action Plan

• First of all students should Learn and write all basic points and Formulas related to the Chapter 1 Real Numbers.
• Start solving  the NCERT Problems with examples.
• Solve the important assignments on the Chapter 1 Class XI.
• Then start solving the following MCQ.

MCQ | CHAPTER - 1 | CLASS IX
REAL NUMBERS

Q1) Can we write 0 in the form of p/q?

a. Yes

b. No

c. Cannot be explained

d. None of the above

Answer: a

Q2) Which of the following is Natural number?

a) 3.5
b) 7
c) 0
d) -2

Answer b

3) 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: b

Q4) Which of the following option is true based on the below statements?
i) All integers are rational numbers.
ii) All rational numbers are integers.
a) Both statements are true
b) Statement (i) is true and Statement (ii) is false
c) Statement (i) is false and Statement (ii) is true
d) Both statements are false

Answer b

Q5) In between any two numbers, there are:

a. Only one rational number

b. Two rational numbers

c. Infinite rational numbers

d. No rational number

Answer: c

Q6) How many whole numbers are there between -3 and 3 (Including -3 and 3)?

a) Four
b) Zero
c) Seven
d) Three

Answer a

Q7) Every rational number is:

a) Whole number

b) Natural number

c) Integer

d) Real number

Answer: d

Q8) 0.3333… is a/an ______________

a) natural number
b) whole number
c) rational number
d) irrational number

Answer c

Q9) √9 is  __________ number.

a) A rational

b) An irrational

c) Neither rational nor irrational

d) None of the above

Answer: a

Q10) Which of the following is an irrational number?

a) √16

b) √(12/3)

c) √12

d) √100

Answer: c

Q11) 3√6 + 4√6 is equal to:

a) 6√6

b) 7√6

c) 4√12

d) 7√12

Answer: b

Q12) By rationalizing the denominator of   , we get

a)   

b)   

c)  

d)  

Answer d

Q13) √6 x √27 is equal to:

a) 9√2

b) 3√3

c) 2√2

d) 9√3

Answer: a

Q 14) By rationalize the denominator of    we get

a)   

b)  

c)   

d)  

Answer b

Q 15) Which of the following is equal to x³?

a) x⁶ – x³

b) x⁶.x³

c) x⁶/x³

d) (x⁶)³

Answer: c

Q 16) Which of the following is an irrational number?

a) √23

b) √225

c) 0.3796

d) 7.478478

Answer: a

Q 17) By simplifying (8)^2/3, we get __________

a) 4
b) 16
c) (8)²/(8)³
d) 32

Answer: a

Q 18) Which of the following is an irrational number?

a) 0.14

b) 0.1416¯

c) 0.1416......

d) 0.4014001400014…

Answer: d

Q 19)   2√3+√3 = 

a) 6

b) 2√6

c) 3√3

d) 4√6

Answer:  c

Q 20)  The number obtained on rationalizing the denominator of 1/ (√7 – 2) is

a) (√7+2)/3

b) (√7-2)/3

c) (√7+2)/5

d) (√7+2)/45

Answer: a

Q 21) Which of the following is rational?

a) 4/0

b) 0/4

c) √3

d) π

Answer: b

Q 22) The irrational number between 2 and 2.5 is 

a) √11

b) √5

c) √22.5

d) √12.5

Answer: b

Q 23) The value of √10 times √15 is equal to

a) 5√6

b) √25

c) 10√5

d) √5

Answer: a

Q24) The decimal representation of the rational number is

a) Always terminating

b) Either terminating or repeating

c) Either terminating or non-repeating

d) Neither terminating nor repeating

Answer: b

Q25) Which of the following is a rational number?

a) 0

b) 2√3

c) 2+√3

d) π

Answer: a

Q26) Which of the following is an irrational number?

a) √(4/9)

b) √12/√3

c) √7

d) √81

Answer: c

Q 27) Simplified value of    is

a) 16

b) 4
c) 1
d) 0

Ans: c

Q28) Find the value of  

a) 1/8
b) 1/2
c) 8
d) 1/64
Answer: a

Q 29) Find the value of   

a) 1
b) -1
c) 9
d) 6
Ans a

Q30) When   is divided by 3√3 find the quotient.

a) 5√3
b) 3√5
c) 5√5
d) 3√3

Answer: (c)

Q 31) 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 c

Q32) Every rational number is:

a) Whole number
b) Natural number
c) Integer
d) Real number

Answer d

Q33) 3√6 + 4√6 is equal to:

a) 6√6
b) 7√6
c) 4√12
d) 7√12

Answer b

Q34) Which of the following is equal to x³?

a) x⁶-x³
b) x⁶.x³
c) x⁶/x³
d) (x⁶)³

Answer c

Q35) 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

Q36) √12 X √15 is equal to:

a) 5√6
b) 6√5
c) 10√5
d) √25

Answer b

Q37) 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

Download Math MCQ Worksheet For Class IX

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