There are n sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value…

Question

There are n sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value of n?

1. A. 6
2. B. 7
3. C. 8
4. D. More than 8 (Correct answer)

Correct Answer

Option D — More than 8

Detailed Solution & Explanation

The correct answer is More than 8.

Key Points

• 1001 = 7 × 11 × 13. Sets of three positive integers with LCM=1001 and HCF=1 means each prime (7,11,13) must appear in at least one number.
• The number of such sets is more than 8. Answer: More than 8.