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

Correct! Wrong!

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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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CBSE Class 9th Math 1 - Number System MCQs
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