If Y={x∈N: x is a one-digit number divisible by 4}, what is Y?
Answer and explanation
Correct answer: Y={4,8}
The governing concept is selecting elements that satisfy both restrictions. Under the convention N={1,2,3,...}, one-digit natural numbers are 1 through 9. The positive multiples of 4 in that range are 4 and 8 only. Zero is not included under this convention, 12 has two digits, and 1 is not divisible by 4. Hence Y={4,8}, making option A correct.
Frequently asked questions
What is the correct answer to this question?
Y={4,8}
Why is this the correct answer?
The governing concept is selecting elements that satisfy both restrictions. Under the convention N={1,2,3,...}, one-digit natural numbers are 1 through 9. The positive multiples of 4 in that range are 4 and 8 only. Zero is not included under this convention, 12 has two digits, and 1 is not divisible by 4. Hence Y={4,8}, making option A 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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