If Y={x:x∈N, x is a one-digit number divisible by 3}, what is Y?
Answer and explanation
Correct answer: Y={3,6,9}
The governing concept is selecting elements that satisfy both membership conditions. The one-digit natural numbers, under the convention used here, are 1 through 9. The multiples of 3 in that range are 3, 6, and 9. Zero is not included in this convention, 12 is not one-digit, and 1 is not divisible by 3. Hence Y={3,6,9}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
Y={3,6,9}
Why is this the correct answer?
The governing concept is selecting elements that satisfy both membership conditions. The one-digit natural numbers, under the convention used here, are 1 through 9. The multiples of 3 in that range are 3, 6, and 9. Zero is not included in this convention, 12 is not one-digit, and 1 is not divisible by 3. Hence Y={3,6,9}, 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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