Which element does not belong to K = {x : x ∈ N, x is a multiple of 6 less than 40}?
Answer and explanation
Correct answer: 42
The positive multiples of 6 below 40 are found by calculating 6 × 1 through 6 × 6: 6, 12, 18, 24, 30 and 36. Therefore 18, 24 and 36 satisfy both conditions and belong to K. Although 42 is also divisible by 6, it is greater than 40, so it fails the phrase “less than 40.” Hence 42, option D, does not belong to K.
Frequently asked questions
What is the correct answer to this question?
42
Why is this the correct answer?
The positive multiples of 6 below 40 are found by calculating 6 × 1 through 6 × 6: 6, 12, 18, 24, 30 and 36. Therefore 18, 24 and 36 satisfy both conditions and belong to K. Although 42 is also divisible by 6, it is greater than 40, so it fails the phrase “less than 40.” Hence 42, option D, does not belong to K.
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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