Which set is W={x:x∈N, x is a factor of 72 and x is a two-digit number}?
Answer and explanation
Correct answer: W={12,18,24,36,72}
The governing concept is the intersection of the factors of 72 with the two-digit natural numbers. The positive factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. Filtering for two-digit values leaves 12, 18, 24, 36, and 72. Nine has one digit, while 10 is not a factor, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
W={12,18,24,36,72}
Why is this the correct answer?
The governing concept is the intersection of the factors of 72 with the two-digit natural numbers. The positive factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. Filtering for two-digit values leaves 12, 18, 24, 36, and 72. Nine has one digit, while 10 is not a factor, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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