Which option is the roster form of N={x: x is a natural number, a multiple of 6, and x≤24}?
Answer and explanation
Correct answer: N={6,12,18,24}
Roster form requires listing all natural numbers that meet every condition. The positive multiples of 6 are 6, 12, 18, 24, 30, and so on. Applying x≤24 keeps 6, 12, 18, and 24, while 30 is excluded. The equality in ≤ means that 24 must be included. Thus option A is correct; C omits 12, B contains non-multiples, and D includes 30, which is too large.
Frequently asked questions
What is the correct answer to this question?
N={6,12,18,24}
Why is this the correct answer?
Roster form requires listing all natural numbers that meet every condition. The positive multiples of 6 are 6, 12, 18, 24, 30, and so on. Applying x≤24 keeps 6, 12, 18, and 24, while 30 is excluded. The equality in ≤ means that 24 must be included. Thus option A is correct; C omits 12, B contains non-multiples, and D includes 30, which is too large.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
