Quantitative Aptitude Ques 859

Question: The product of two 2-digit numbers is 2028 and their HCF is 13. The sum of numbers is

Options:

A) 65

B) 78

C) 81

D) 169

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the numbers be 13ac and13y, when x and y are prime to each other.

$ \therefore $ $ 13x\times 13y=2028 $

$ \Rightarrow $ $ xy=\frac{2028}{13\times 13}=12=3\times 4 $

$ \therefore $ Numbers $ =13\times 3=39 $ and $ 13\times 4=52 $

$ \Rightarrow $ Sum of numbers $ =39+52=91 $

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