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Odd and Even Numbers

State, whethe...

Question

State, whether the following set is an example of empty set.

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

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Solution

Since, set of all even natural numbers divisible by $5$ is,

$= {10, 20, 30, . . .}$

Thus, given set is not an empty set

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Similar questions

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}.

Q. Which of the following are examples of empty set?
(i) Set of all even natural numbers divisible by 5;
(ii) Set of all even prime numbers;
(iii) {x : x² −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}.

State which of the given set is an empty set.

{odd numbers divisible by $2$ }

Q. 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 numbers, x < 5 and x > 7 } (iv) { y : y is a point common to any two parallel lines}

State whether following set is empty or not

${E v e n n a t u r a l n u m b e r d i v i s i b l e b y 3}$

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Odd and Even Numbers

Standard IV Mathematics

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