What is J={x: x is a whole number divisible by 15 and less than 60}?
Answer and explanation
Correct answer: J={0,15,30,45}
The governing concepts are whole numbers, divisibility and a strict upper bound. Whole numbers include 0, and 0 is divisible by 15 because 0=15×0. The multiples of 15 that are less than 60 are 0, 15, 30 and 45. The value 60 is not allowed because the condition says “less than 60,” not “less than or equal to 60.” Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
J={0,15,30,45}
Why is this the correct answer?
The governing concepts are whole numbers, divisibility and a strict upper bound. Whole numbers include 0, and 0 is divisible by 15 because 0=15×0. The multiples of 15 that are less than 60 are 0, 15, 30 and 45. The value 60 is not allowed because the condition says “less than 60,” not “less than or equal to 60.” Therefore option B 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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