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Two numbers are in the ratio 3 : 4 and their LCM is 240.
What is their HCF?

Class 10HCF and LCMNumber Systems
  • A18
  • B40
  • C22
  • D20

Step-by-Step Solution

Let numbers be 3k and 4k. Since 3 and 4 are co-prime, HCF = k and LCM = 12k. 12k = 240 -> k = 20. HCF = 20.
Answer: D) 20

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