If R = {x : x ∈ N, x is divisible by 7 and x ≤ 35}, which element belongs to R?
Answer and explanation
Correct answer: 28
The governing concept is testing set membership by checking every defining condition. The natural multiples of 7 not exceeding 35 are 7, 14, 21, 28 and 35. Among the choices, 28 is divisible by 7 and satisfies 28≤35. Number 30 is not divisible by 7, while 36 and 42 exceed the upper limit. Therefore option A belongs to R.
Frequently asked questions
What is the correct answer to this question?
28
Why is this the correct answer?
The governing concept is testing set membership by checking every defining condition. The natural multiples of 7 not exceeding 35 are 7, 14, 21, 28 and 35. Among the choices, 28 is divisible by 7 and satisfies 28≤35. Number 30 is not divisible by 7, while 36 and 42 exceed the upper limit. Therefore option A belongs to R.
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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