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Which of the ...

Question

Which of the following sets is infinite?

{x : x

is neither prime, nor composite

, x \in N}

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The set of all rivers in India

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Set of concentric circles

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A = {x : x

is a letter of the English alphabet

}

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Solution

The correct option is C Set of concentric circles
Set of concentric circles is infinite as we can draw many circles of different radius around a common centre.

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Similar questions

Which of the following sets are finite and which are infinite ?

(i) Set of concentric circles in a plane.

(ii) Set of letter of the English Alphabets.

(iii) { $x ϵ N; x > 5$ }

Cardinal number of the set A = { x: x is neither prime nor composite number} is ____.

Describe the following sets in Roster form :

(i) {x : x is a letter before e in the English alphabet}.

(ii) { $x ϵ N : x^{2} < 25$ }

(iii) { $x ϵ N$ : x is a prime number, 10 < x < 20}.

(iv) $x ϵ N : x = 2 n, n ϵ N$ .

(v) $x ϵ R : x > x$ .

(vi) {x : x is a prime number which is a divisor of 60}

(vii) {x : x ix a two digit number such that the sum of its digits is 8}.

(viii) The set of all letters in the word ' Trigonometry'.

(ix) The set of all letters in the word 'Better'.

x : x

e

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