Question: The HCF and LCM of two numbers are 44 and 264, respectively. If the first number is divided by 2, the quotient is 44. The other number is
Options:
A) 147
B) 528
C) 132
D) 264
Show Answer
Answer:
Correct Answer: C
Solution:
- Here, first number $ =2\times 44=88, $
HCF = 44, LCM = 264
We know that,
First number $ \times $ Second number $ =HCF\times LCM $
$ \Rightarrow $ 88 $ \times $ Second number $ =44\times 264 $
$ \Rightarrow $ Second number $ =\frac{264\times 44}{88}=132 $
$ \Rightarrow $ Second number = 132