Which option correctly gives N = {x : x ∈ N, x < 12 and x is divisible by both 2 and 3}?
Answer and explanation
Correct answer: N = {6}
A number divisible by both 2 and 3 must be a multiple of their least common multiple, 6. The positive multiples of 6 below 12 are only 6; 12 is excluded because the condition is x < 12. Numbers 2 and 3 separately fail one of the divisibility conditions, while 9 is not divisible by 2. Hence N = {6}.
Frequently asked questions
What is the correct answer to this question?
N = {6}
Why is this the correct answer?
A number divisible by both 2 and 3 must be a multiple of their least common multiple, 6. The positive multiples of 6 below 12 are only 6; 12 is excluded because the condition is x < 12. Numbers 2 and 3 separately fail one of the divisibility conditions, while 9 is not divisible by 2. Hence N = {6}.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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