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Q: If the HCF of 51 and 85 is expressed in the form of 51 m – 85, then the value of m will be:
  • A. 3
  • B. 1
  • C. 5
  • D. 2
Correct Answer: Option D - HCF of 51 and 85 51 = 3 ×17 85 = 5 × 17 HCF = 17 According to the question, 17 = 51 m – 85 17 + 85 = 51 m 102 = 51 m m = 2
D. HCF of 51 and 85 51 = 3 ×17 85 = 5 × 17 HCF = 17 According to the question, 17 = 51 m – 85 17 + 85 = 51 m 102 = 51 m m = 2

Explanations:

HCF of 51 and 85 51 = 3 ×17 85 = 5 × 17 HCF = 17 According to the question, 17 = 51 m – 85 17 + 85 = 51 m 102 = 51 m m = 2