# CBSE Class 9th Math 1 – Number System MCQs

#### The square root of a positive integer is an irrational number.

Correct! Wrong!

Hence, the square root of a positive integer need not be an irrational number.

#### 32 33= ____.

Correct! Wrong!

32 33 = 32+3 ( am an = am+n) = 35 = 243 ∴ 32 33= 243

#### Non-terminating and non-recurring decimals are called rational numbers.

Correct! Wrong!

Non-terminating and non-recurring decimals are called irrational numbers.

#### The number of rational numbers between two natural numbers is infinite.

Correct! Wrong!

The number of rational numbers between two natural numbers is infinite.

#### The decimal expansion of 144 /400 is ____

Correct! Wrong!

144 /400=36 /100 =0.36 Hence, the decimal expansion of 144 /400 is terminating.

#### A non-terminating and non-recurring decimal is known as an irrational number.

Correct! Wrong!

A non-terminating and non-recurring decimal is known as an irrational number.

#### IF mn = 125, then (m -1)n+1= ____.

Correct! Wrong!

Given mn = 125 ⇒ mn = 53 ⇒ m = 5 and n =3 (m -1)n+1 = (5 – 1)3+1 = 44 =256 (m -1)n+1 = 256

#### The solutions of the equation x2−9=0 are irrational numbers.

Correct! Wrong!

Given equation is x2−9=0. ⇒ x2 = 9 ⇒x=9 ⇒x=±3 3 and −3 are rational numbers. Hence, the solutions of x2−9=0 are rational numbers.

#### Which of the following is a rational number?

Correct! Wrong!

0.3333333... is a non-terminating and recurring decimal. We know that, a non-terminating and recurring decimal can be converted to the form of pq, where p, q are integers and q ≠ 0. 0.3333333... = 13 Hence, 0.3333333... Is a rational number.

#### Every whole number is a natural number.

Correct! Wrong!

'0' is a whole number but not a natural number. Hence, every whole number except 0 is a natural number.

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