The HCF and LCM of two numbers are 44 and 264 respectively. If the first number

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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

Answer: Option C
Given,
HCF = 44
LCM = 264
First Number = When divided by 2, the quotient is 44
So,
First Number = 2 × 44 = 88
Second number = N. (let).
Now, using formula,
HCF × LCM of two numbers = First number × Second number
44 × 264 = 88 × N
N = 132
Second Number = 132
NOTE :
Dividend = Divisor × Quotient + Remainder

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