How many elements are in H={x∈N: 15≤x<30 and x is divisible by 5}?
Answer and explanation
Correct answer: 3
The set contains natural numbers from 15 through numbers strictly less than 30 that are divisible by 5. The relevant multiples are 15, 20, and 25. The lower endpoint 15 is included because the sign is ≤, while 30 is excluded because the sign is <. Thus H={15,20,25}, which has 3 elements, so option B is correct. No other multiple of 5 lies in the stated interval.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The set contains natural numbers from 15 through numbers strictly less than 30 that are divisible by 5. The relevant multiples are 15, 20, and 25. The lower endpoint 15 is included because the sign is ≤, while 30 is excluded because the sign is <. Thus H={15,20,25}, which has 3 elements, so option B is correct. No other multiple of 5 lies in the stated interval.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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