If the LCM of two numbers a and b is 60 and their HCF is 15 Determine their mean proportion ........

Quantitative Aptitude (CPO) LCM, HCF

If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.

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SSC CPO 10th Nov 2022 Shift 3

- LCM (Least Common Multiple): It is the smallest number that is a multiple of both numbers. Here, it's 60.

- HCF (Highest Common Factor): It is the largest number that divides both numbers without leaving a remainder. Here, it's 15.

- Product of Two Numbers: The product of two numbers is equal to the product of their LCM and HCF. Thus, a * b = 60 * 15 = 900.

- Mean Proportion (Geometric Mean): For two numbers a and b, the mean proportion is v(a * b). Hence, v900 = 30.

- Option 1: 30 (This is the mean proportion since v900 is 30.)

- Option 2: 25

- Option 3: 60

- Option 4: 4

The correct answer is: Option 1: 30

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