Question : The HCF and LCM of the two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44, then the other number is:
Option 1: 147
Option 2: 528
Option 3: 132
Option 4: 264
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Correct Answer: 132
Solution :
Given: HCF and LCM of the two numbers are 44 and 264 respectively.
The first number is divided by 2 and the quotient is 44.
So, the first number = 44 × 2 = 88
We know that the multiplication of the two numbers = LCM × HCF
So, 88 × 2
nd
number = LCM × HCF
or, 88 × 2
nd
number = 44 × 264
or, 2
nd
number = $\frac{44 × 264}{88}$ = 132
or, 2
nd
number = 132
Hence, the correct answer is 132.
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