Which set is W={x∈N: x is a factor of 100 and x is a two-digit number}?
Answer and explanation
Correct answer: W={10,20,25,50}
The governing idea is intersection: a number must be both a factor of 100 and a two-digit natural number. The positive factors of 100 are 1,2,4,5,10,20,25,50,100. Two-digit numbers range from 10 through 99, so the qualifying factors are 10,20,25, and 50. The one-digit factors and 100 are excluded, while 40 is not a factor of 100. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
W={10,20,25,50}
Why is this the correct answer?
The governing idea is intersection: a number must be both a factor of 100 and a two-digit natural number. The positive factors of 100 are 1,2,4,5,10,20,25,50,100. Two-digit numbers range from 10 through 99, so the qualifying factors are 10,20,25, and 50. The one-digit factors and 100 are excluded, while 40 is not a factor of 100. Thus option A is correct.
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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