Quantitative Aptitude Ques 1985

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

Options:

A) 273, 357

B) 273, 361

C) 273, 351

D) 273, 263

Show Answer

Answer:

Correct Answer: A

Solution:

  • Product of the numbers $ =HCF\times LCM=21\times 4641 $ $ 21\times 4641=21\times 3\times 7\times 13\times 17 $ $ =3\times 7\times 3\times 7\times 13\times 17 $

$ \therefore $ The numbers can be $ 3\times 7\times 13=273 $ and $ 3\times 7\times 17=357 $

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