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The ratio of two numbers is 5:6, and their LCM is 480; then their HCF is?
  1. 12
  2. 16
  3. 96
  4. None of these
Explanation

Let the two numbers be 5x and 6x, where x is their HCF.

Step 1: Calculate the LCM

The LCM of 5x and 6x is 30x.

Step 2: Find x

Given that the LCM is 480, we can set up the equation:

30x = 480

x = 480 / 30

x = 16

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