Multiple Choice Questions

The HCF and LCM of two numbers are 21 and 4641 respectively If one of the number lies between 200 an...........

Quantitative Aptitude (CDS) LCM, HCF

The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the number lies between 200 and 300, then the two numbers are

273, 357

273, 361

273, 359

273, 363

Product of HCF & LCM is = 21×4641 = (3×7)×(3*7*13*17)

This product can be expressed as = (221*441) or (273*357)

product of two numbers = Product of their HCF & LCM,

(21) x (4641) = either (221 x 441) or (273 x 357)

Thus their exists two sets - Either (221, 441) or (273, 357)

Hence, option 1 is the correct answer.

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