Please refer to Number System MCQ Questions Class 9 Mathematics below. These MCQ questions for Class 9 Mathematics with answers have been designed as per the latest NCERT, CBSE books, and syllabus issued for the current academic year. These objective questions for Number System will help you to prepare for the exams and get more marks.

**Number System MCQ Questions Class 9 Mathematics **

Please see solved MCQ Questions for Number System in Class 9 Mathematics. All questions and answers have been prepared by expert faculty of standard 9 based on the latest examination guidelines.

**MCQ Questions Class 9 Mathematics Number System **

**Question. If m = cab / a – b, then b equals**

(a) m(a – b) / ca

(b) cab – ma / ca

(c) 1 / 1 + c

(d) ma / m + ca

## Answer

D

**Question. Rational number between √2 and √3 is**

(a) √2 + √3 / 2

(b) √2 x √3 / 2

(c) 1.5

(d) 1.8

## Answer

C

**Question. The rational number between 1/2 and 1/3 is**

(a) 2/5

(b) 1/5

(c) 3/5

(d) 4/5

## Answer

A

**Question. 0.123 can be expressed in rational form as**

(a) 900 / 111

(b) 111 / 900

(c) 123 / 10

(d) 121 / 900

## Answer

B

**Question. The fraction 2(√2 + √6) / 3(√2 + √3) is equal to**

(a) 2√2 / 3

(b) 1

(c) 2√3 / 3

(d) 4 / 3

## Answer

D

**Question. If 4 ^{44} + 4^{44} + 4^{44} + 4^{44} = 4^{x} , than x is**

(a) 45

(b) 44

(c) 176

(d) 11

## Answer

A

**Question. The greater between √17 – √12 and √11 – √6 is.**

(a) √17 – √12

(b) √11 – √6

(c) Both are equal

(d) Cannot compare

## Answer

B

**Question. The value of (6√27 – √6 3/4) ^{2} equals **

(a) √3/2

(b) 3/2

(c) √3/4

(d) 3/4

## Answer

D

**Question. Which of the following numbers has the terminating decimal representation?**

(a) 1/7

(b) 1/3

(c) 3/5

(d) 17/3

## Answer

C

**Question. If 25 ^{x-1} = 52^{x-1}– 100, then the value of x is.**

(a) 3

(b) 2

(c) 4

(d) 1

## Answer

B

**Question. If x = 2 – √3 , then the values of x ^{2} + 1/x^{2} and x^{2} – 1/x^{2} respectively are.**

(a) 14, 8√3

(b) -14,- 8√3

(c) 14,- 8√3

(d) -14, 8√3

## Answer

C

**Question. The numerator of**

**is**

(a) a^{2}

(b) b^{2}

(c) a^{2 }— b^{2}

(d) 4a^{2} — 2b^{2 }

## Answer

D

**Question. If (a + 1/a) ^{2} = 9, then a^{3} + 1/a^{3} equals**

(a) 10√3/3

(b) 3√3

(c) 18

(d) 7√7

## Answer

C

**Question. 2√6 / √2 + √3 + √5 equals**

(a) √2 + √3 – √5

(b) 4 – √2 – √3

(c) √2 + 3√ + √6 – 5

(d) 1/2 (√2 + √5 – √3)

## Answer

A

**Question. The ascending order of the surds ^{3}√2, ^{6}√3, ^{9}√4 is**

(a)

^{9}√4,

^{6}√3,

^{3}√2

(b)

^{9}√4,

^{3}√2,

^{6}√3

(c)

^{3}√2,

^{6}√3,

^{9}√4

(d)

^{6}√3,

^{9}√4,

^{3}√2

## Answer

A

**Question. Assertion : Rational number lying between two rational numbers a and b is a + b/2.****Reason : There is one rational number lying between any two rational numbers.**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

C

**Question. Assertion : √2 is an irrational number.****Reason : A number is called irrational, if it cannot be written in the form q/p , where p and q are integers and q ≠ 0.**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

A

**Question. Assertion : 17 ^{2} • 17^{5} = 17^{3}**

**Reason : If a > 0 be a real number and p and q be rational numbers. Then a**

^{p}• a^{q}= a^{p+q}.(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

D

**Question. Assertion : A rational number between 1/3 and 1/2 is 5/12.****Reason : Rational number between two numbers a and b is √ab .**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

C

**Question. Assertion : If √2 = 1.414, √3 = 1.732, then √5 = √2 + √3 .****Reason : Square root of a positive real number alwaysexists. **

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

D

**Question. Assertion : 5 – √2 = 5 – 1.414 = 3.586 is an irrational number.****Reason : The difference of a rational number and an irrational number is an irrational number.**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

A

**Question. Assertion : √2, √3 are examples of irrational numbers.****Reason : An irrational number can be expressed in the form p/q .**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

C

**Question. Assertion : 2 + √6 is an irrational number.****Reason : Sum of a rational number and an irrational number is always an irrational number.**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

A

**Question. Assertion : 0.271 is a terminating decimal and we can express this number as 271/1000 which is of the form p/q , where p and q are integers and q ≠ 0.****Reason : A terminating or non-terminating decimal expansion can be expressed as rational number.**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

C

**Question. Assertion : Every integer is a rational number.****Reason : Every integer ‘m’ can be expressed in the form m1**

(a) Both assertion and reason are true and reason is the correct explanation of assertion.

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

(c) Assertion is true but reason is false.

(d) Assertion is false but reason is true.

## Answer

A

FILL IN THE BLANK :

**Question. ^{4}√1008/63 is equal to ………. **

## Answer

(1008/63)^{1/4} = (16)^{14} = (2^{4})^{1/4} = 2

**Question. The sum/difference of a rational and an irrational number is ………. . **

## Answer

irrational

**Question. 0.72737475 is ………. number. (rational/irrational) **

## Answer

irrational

**Question. Value of a is ………. of √3 – 1/√3 + 1 = a + b√3 **

## Answer

2

**Question. Between two rational numbers, there exist ……….number of rational numbers. **

## Answer

infinite

TRUE/FALSE:

**Question. Every rational number is an integer.**

## Answer

False

**Question. Every whole number is a natural number.**

## Answer

False

**Question. Every natural number is a whole number.**

## Answer

True

**Question. All rational numbers can be represented by some point on the number line.**

## Answer

True

**Question. The sum or difference of a rational number and an irrational number is an irrational**

## Answer

True