Which of the following is a null set?(a) {x : x is a natural number and x^2=4}(b) {x : x is a rational number and x^2=2}(c) {x : x is an even prime number}(d) {x : x is name of the day of week}I have been asked this question in an interview.The origin of the question is The Empty Set in section Sets of Mathematics – Class 11

Which of the following is a null set?(a) {x : x is a natural number an

1.	Which of the following is a null set?(a) {x : x is a natural number and x^2=4}(b) {x : x is a rational number and x^2=2}(c) {x : x is an even prime number}(d) {x : x is name of the day of week}I have been asked this question in an interview.The origin of the question is The Empty Set in section Sets of Mathematics – Class 11
Answer» Correct ANSWER is (b) {x : x is a rational number and x^2=2} Explanation: x^2=4 => x=2,-2 where 2 is a NATURAL number so X={2}. X={2} for even prime number. Also we have SEVEN days of the WEEK so they cannot form null set. x^2=2 => x=√2, -√2 they both are irrational so, it is a null set.

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