If D = {x : x is a positive factor of 36 and x > 6}, what is D?
Answer and explanation
Correct answer: D = {9, 12, 18, 36}
The governing concept is selecting elements from the factor set using an inequality. The positive factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. Applying x > 6 removes 1 through 6 and leaves 9, 12, 18 and 36. Option B wrongly keeps 6, which is not greater than 6; option D includes 24, not a factor of 36. Thus A is correct.
Frequently asked questions
What is the correct answer to this question?
D = {9, 12, 18, 36}
Why is this the correct answer?
The governing concept is selecting elements from the factor set using an inequality. The positive factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. Applying x > 6 removes 1 through 6 and leaves 9, 12, 18 and 36. Option B wrongly keeps 6, which is not greater than 6; option D includes 24, not a factor of 36. Thus A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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