What is L={x:x∈N, x is a divisor of 36 and x>6}?
Answer and explanation
Correct answer: L={9,12,18,36}
First list the positive divisors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36. Now apply the strict condition x>6, which removes 1 through 6 and leaves 9, 12, 18, and 36. Therefore option A gives the complete set. Option B wrongly includes 6, and option D includes 8, which does not divide 36.
Frequently asked questions
What is the correct answer to this question?
L={9,12,18,36}
Why is this the correct answer?
First list the positive divisors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36. Now apply the strict condition x>6, which removes 1 through 6 and leaves 9, 12, 18, and 36. Therefore option A gives the complete set. Option B wrongly includes 6, and option D includes 8, which does not divide 36.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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