Multiple choice

The HCF of two numbers is 11 and their LCM is 7700. If one number is 275, then the other number is

  1. 279

  2. 308

  3. 283

  4. 318

  5. None of these
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B Correct answer
Explanation

The product of two numbers is equal to the product of their HCF and LCM. 275 * x = 11 * 7700. x = (11 * 7700) / 275 = 84700 / 275 = 308.

AI explanation

The formula relating two numbers is that their product equals the product of their highest common factor and least common multiple. We set up the equation 275 multiplied by the other number equals 11 multiplied by 7700. Solving for the unknown gives the other number as 84700 divided by 275, which is 308.

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