Match List-I with List-II
| List-I | List-II | ||
|---|---|---|---|
| (A) | The number \(\pi\) is a/an | (I) | whole number |
| (B) | 0 is a/an | (II) | complex number |
| (C) | \(\sqrt{-1}\) is a/an | (III) | composite number |
| (D) | 6 is a/an | (IV) | irrational number |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
Each number is matched to the smallest family of numbers named in List-II that it belongs to.
(A) The number \(\pi\) is a/an — this matches (IV) irrational number. Its decimal form \(3.14159\ldots\) never ends and never repeats, so it cannot be written as \(\frac{p}{q}\); \(\frac{22}{7}\) is only an approximation.
(B) 0 is a/an — this matches (I) whole number. The whole numbers are 0, 1, 2, 3, ...; 0 is a whole number though not a natural number.
(C) \(\sqrt{-1}\) is a/an — this matches (II) complex number. No real number squares to \(-1\); \(\sqrt{-1}\) is the imaginary unit \(i\), the complex number \(0+1i\).
(D) 6 is a/an — this matches (III) composite number. It has more than two factors (1, 2, 3 and 6).