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Which one of the following statement(s) is/are correct?

(A) Every whole number is a natural number.

(B) Every natural number is a whole number.

(C) Every integer is a whole number.

(D) Every rational number is a whole number

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

Natural Numbers are counting numbers: 1,2,3,4,5...1, 2, 3, 4, 5...

Whole Numbers are natural numbers plus zero: 0,1,2,3,4,5...0, 1, 2, 3, 4, 5...

Integers are whole numbers plus negative numbers: ...−3,−2,−1,0,1,2,3......-3, -2, -1, 0, 1, 2, 3...

Rational Numbers are any numbers that can be written as a fraction pq\frac{p}{q}: 12,34,0.5,−2,7...\frac{1}{2}, \frac{3}{4}, 0.5, -2, 7...


Statement (A): Every whole number is a natural number.

Whole numbers include: 0,1,2,3,4...0, 1, 2, 3, 4...

Natural numbers include: 1,2,3,4...1, 2, 3, 4...

The number 00 is a whole number but not a natural number.

Statement (A) is incorrect.


Statement (B): Every natural number is a whole number.

Natural numbers: 1,2,3,4,5...1, 2, 3, 4, 5...

Whole numbers: 0,1,2,3,4,5...0, 1, 2, 3, 4, 5...

Every natural number (1,2,3...)(1, 2, 3...) is also found in whole numbers.

Statement (B) is correct.


Statement (C): Every integer is a whole number.

Integers include: ...−3,−2,−1,0,1,2,3......-3, -2, -1, 0, 1, 2, 3...

Whole numbers include: 0,1,2,3...0, 1, 2, 3...

The number −5-5 is an integer but not a whole number.

Statement (C) is incorrect.


Statement (D): Every rational number is a whole number.

Rational numbers include fractions like 12,34,0.75\frac{1}{2}, \frac{3}{4}, 0.75

Whole numbers are only: 0,1,2,3,4...0, 1, 2, 3, 4...

The number 12\frac{1}{2} is a rational number but not a whole number.

Statement (D) is incorrect.


Only statement (B) is correct.

Answer: (B) only

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