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Q.

Which of the  following is not a null set?

 

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a

Set of odd natural numbers divisible by 2

b

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

c

Set of even prime numbers 

d

χ : χ is a natural number, χ < 5 and χ >7 }

 

answer is B.

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Detailed Solution

 There is no odd natural number divisible by 2,  so there will be no element in this set, hence it is a null set.

(b) There is only one even prime number which is 2i.e.,  there is a element, so it is not a null set 

(c) There is no natural number which is less than 5 and greater than 7 i.e., there is no element, so it is a null set.

(d) Since, parallel lines never intersect each other, so they have no common point i.e., no element, so it is a null set.

 

 

 

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