Which option correctly gives W = {x : x is a natural number from 1 to 50, divisible by 5 but not by 10}?
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Answer and explanation
Correct answer: W = {5, 15, 25, 35, 45}
First list the multiples of 5 between 1 and 50: 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. The phrase “but not by 10” removes 10, 20, 30, 40, and 50, because these are multiples of 10. The remaining values are 5, 15, 25, 35, and 45. Thus the roster form is option A.
Frequently asked questions
What is the correct answer to this question?
W = {5, 15, 25, 35, 45}
Why is this the correct answer?
First list the multiples of 5 between 1 and 50: 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. The phrase “but not by 10” removes 10, 20, 30, 40, and 50, because these are multiples of 10. The remaining values are 5, 15, 25, 35, and 45. Thus the roster form is option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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