If P={x: x is a natural number, x is a multiple of 7, and x≤28}, what is P?
Answer and explanation
Correct answer: P={7,14,21,28}
The positive multiples of 7 are obtained as 7×1=7, 7×2=14, 7×3=21, 7×4=28, and 7×5=35. The condition x≤28 keeps the first four values and excludes 35 and all larger multiples. One is not a multiple of 7, and omitting 14 would make the set incomplete. Hence P={7,14,21,28}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
P={7,14,21,28}
Why is this the correct answer?
The positive multiples of 7 are obtained as 7×1=7, 7×2=14, 7×3=21, 7×4=28, and 7×5=35. The condition x≤28 keeps the first four values and excludes 35 and all larger multiples. One is not a multiple of 7, and omitting 14 would make the set incomplete. Hence P={7,14,21,28}, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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