Which set is C={x∈N: x is a multiple of 7 between 14 and 35}?
Answer and explanation
Correct answer: C={21,28}
The governing idea is interpreting an open interval. The multiples of 7 from this range are 14,21,28,35. Because “between 14 and 35” excludes both endpoints, only 21 and 28 remain. Therefore option B is correct. Option A includes both endpoints, C includes 7 and 14, and D includes the excluded endpoint 35. The wording would need “inclusive” or “from 14 to 35” to include the endpoints.
Frequently asked questions
What is the correct answer to this question?
C={21,28}
Why is this the correct answer?
The governing idea is interpreting an open interval. The multiples of 7 from this range are 14,21,28,35. Because “between 14 and 35” excludes both endpoints, only 21 and 28 remain. Therefore option B is correct. Option A includes both endpoints, C includes 7 and 14, and D includes the excluded endpoint 35. The wording would need “inclusive” or “from 14 to 35” to include the endpoints.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Rational numbers.
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