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The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is__________?

Correct answer: C. 308

  • A. 279
  • B. 283
  • C. 308
  • D. 318

Explanation

Using product = HCF x LCM, the product of the two numbers is 11 x 7700 = 84700. Dividing by the known number gives the other number as 84700 ÷ 275 = 308; indeed, GCD(275, 308) = 11. The likely mistake is choosing 279 by adding or subtracting the HCF instead of using the product relationship.

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