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Finite Set

Which of the ...

Question

Which of the following set is non-empty?

Set of odd natural numbers divisible by 2

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x : x + 4 = 0, x \in N

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Set of even prime numbers

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x : 2 < x < 3, x \in N

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Solution

The correct option is B Set of even prime numbers
A non empty set has atleast one element.
From the given options we see that the set C has one element which is $2$ .

Suggest Corrections

Similar questions

Which of the following are examples of the null set?

(i) Set of odd natural numbers divisible by 2.

(ii) Set of even prime numbers.

(iii) {x : x is a natural number, x < 5 and x > 7}

(iv) { y : y is a point common to any two parallel lines}

5

{x : x^{2} - 2 = 0

x

}

{x : x

x < 8

x > 12

{x : x

}

Which of the following are examples of empty set ?

(i) Set of all even numbers divisible by 5.

(ii) Set of all even prime numbers.

(iii) { $x : x^{2} = 0$ and x is rational}.

(iv) {x : x is a natural number, x < 8 and simultaneously x > 12}.

(v) {x : x is a point common to any two parallel lines}.

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