If R={x∈N: x is divisible by 9 and x≤45}, which statement is true?
Answer and explanation
Correct answer: 45∈R
The governing concept is membership in a set defined by divisibility and an inclusive upper bound. The positive multiples of 9 not exceeding 45 are 9,18,27,36,45. Since 45=9×5 and 45≤45, it satisfies both conditions. Number 46 and 8 are not divisible by 9, while 54 is divisible by 9 but exceeds 45. Therefore A is the only true statement.
Frequently asked questions
What is the correct answer to this question?
45∈R
Why is this the correct answer?
The governing concept is membership in a set defined by divisibility and an inclusive upper bound. The positive multiples of 9 not exceeding 45 are 9,18,27,36,45. Since 45=9×5 and 45≤45, it satisfies both conditions. Number 46 and 8 are not divisible by 9, while 54 is divisible by 9 but exceeds 45. Therefore A is the only true statement.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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