Quantitative Aptitude Ques 2486
Question: Two numbers are in the ratio 3: 4. The product of their HCF and LCM is 2028. The sum of the numbers is
Options:
A) 68
B) 72
C) 86
D) 91
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the numbers be 3x and 4x. Then, HCF $ \times $ LCM = First number $ \times $ Second number
$ \therefore $ $ 2028=3x\times 4x $
$ \Rightarrow $ $ x^{2}=\frac{2028}{12}=169 $
$ \Rightarrow $ $ x=13 $
$ \therefore $ Sum of numbers $ =(3\times 13)+(4\times 13) $ $ =39+52=91 $