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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