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 $