What is the greatest length x such that 3 1/2 m and 8 3/4 m are integral multiples of x

What is the greatest length x such that 3 1/2 m and 8 3/4 m are integral multiples of x?

1. 1 1/2 m
2. 1 1/3 m
3. 1 1/4 m
4. 1 3/4 m

• Answer: The correct option is D
• Explanation:

  3½ = 7/2 and 8¾ = 35/4

  x = HCF of (7/2) and (35/4)

  = (HCF of 7 and 35) / (LCM of 2 and 4)

  = 7/4

  = 1¾ m

• Exam Year: 2020