If S={x∈N: x is a factor of 16 or x=10}, what is n(S)?
Answer and explanation
Correct answer: 6
The governing concept is cardinality, or the number of distinct members of a set. The natural factors of 16 are 1, 2, 4, 8, and 16. The condition x=10 contributes one additional element because 10 is not already a factor of 16. Thus S={1,2,4,8,10,16}, which has six distinct elements, so option C is correct. No element is counted twice.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The governing concept is cardinality, or the number of distinct members of a set. The natural factors of 16 are 1, 2, 4, 8, and 16. The condition x=10 contributes one additional element because 10 is not already a factor of 16. Thus S={1,2,4,8,10,16}, which has six distinct elements, so option C is correct. No element is counted twice.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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