Which element belongs to both Q and R?
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Answer and explanation
Correct answer: 3/4
Q is the set of rational numbers, which can be written as p/q where p and q are integers and q is nonzero. The number 3/4 has this form, so it is rational. Every rational number is also real, meaning 3/4 belongs to both Q and R. In contrast, √2 and π are irrational, while i is non-real. Therefore A is correct.
Frequently asked questions
What is the correct answer to this question?
3/4
Why is this the correct answer?
Q is the set of rational numbers, which can be written as p/q where p and q are integers and q is nonzero. The number 3/4 has this form, so it is rational. Every rational number is also real, meaning 3/4 belongs to both Q and R. In contrast, √2 and π are irrational, while i is non-real. Therefore A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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