Q. 55.0( 1 Vote )

# Which one of the following is not true?

A. Every natural number is a rational number

B. Every real number is a rational number

C. Every whole number is a rational number

D. Every integer is a rational number.

Answer :

Real numbers is the set which includes both rational and irrational numbers.

∴ Rational numbers and Irrational numbers are 2 independent subsets of Real numbers. Hence every real number is not a rational number (since real numbers also consists of irrational numbers.)

Option (A) is correct because every natural number can be expressed in form (q≠0 i.e a rational number).

Option (C) is correct because every whole number can be expressed in form (q≠0 i.e a rational number).

Option (D) is correct because every integer can be expressed in form (q≠0 i.e a rational number).

Natural numbers ⊂ Whole numbers ⊂ Integers ⊂ Rational Numbers ⊂ Real numbers

Real numbers ⊃ (Rational numbers + Irrational numbers).

Hence, only option B is incorrect.

Rate this question :

Find any two irrational numbers between 0.15 and 0.16.

Tamilnadu Board Math Term-IInsert any two irrational numbers between and .

Tamilnadu Board Math Term-IFind any three irrational numbers between √3 and √5.

Tamilnadu Board Math Term-IFind any two irrational numbers between √3 and 2.

Tamilnadu Board Math Term-IDecimal form of is

Tamilnadu Board Math Term-IWhich one of the following has a terminating decimal expansion?

Tamilnadu Board Math Term-IWhich of the following are irrational numbers?

i. ii.

iii. iv.

Tamilnadu Board Math Term-IFind a rational number and also an irrational number between 1.1011001110001... and 2.1011001110001...

Tamilnadu Board Math Term-IWhich one of the following is an irrational number?

Tamilnadu Board Math Term-IWhich one of the following is not true?

Tamilnadu Board Math Term-I