Quantitative Aptitude Ques 405
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 number be 3x and 4x, respectively. HCF $ \times $ LCM = First number $ \times $ Second number
$ \therefore $ $ 2028=3x\times 4x $
$ \Rightarrow $ $ x^{2}=\frac{2028}{12}=169 $
$ \Rightarrow $ $ x=\sqrt{169}=13 $
$ \therefore $ Sum of numbers $ =3x+4x=(3\times 13)+(4\times 13)=91 $
BETA
