How many elements are in the set {x : x is a multiple of 5 between 10 and 50}?
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Answer and explanation
Correct answer: 7
Interpreting “between 10 and 50” as strictly between the two endpoints, the multiples of 5 are 15, 20, 25, 30, 35, 40, and 45. The numbers 10 and 50 are excluded because they are the endpoints. This gives seven distinct elements, so the set is finite and option A is correct.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Interpreting “between 10 and 50” as strictly between the two endpoints, the multiples of 5 are 15, 20, 25, 30, 35, 40, and 45. The numbers 10 and 50 are excluded because they are the endpoints. This gives seven distinct elements, so the set is finite and option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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