Choose the correct option. The HCF and LCM of two numbers are 16 and 3072 respectively. If one of the numbers is 48, then square root of the other number is: Options 8 16 32 48
Question
Choose the correct option. The HCF and LCM of two numbers are 16 and 3072 respectively. If one of the numbers is 48, then square root of the other number is: Options
8
16
32
48
Solution
The relationship between two numbers, their Highest Common Factor (HCF) and Lowest Common Multiple (LCM) is given by the formula:
Number1 * Number2 = HCF * LCM
We know that one of the numbers is 48, the HCF is 16 and the LCM is 3072. We can substitute these values into the formula to find the other number:
48 * Number2 = 16 * 3072
Solving for Number2 gives:
Number2 = (16 * 3072) / 48 Number2 = 1024
The question asks for the square root of the other number, so we take the square root of 1024, which is 32.
So, the correct option is 32.
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