Direct Variation

If 12 : m:: m : 3, then which of these is the value of m?

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Explanation

Well done !

Explanation:

It is given that
12 : m :: m : 3.
This can be written as
12 : m = m : 3
⇒

12 / m

m / 3

m × m = 12 × 3.
⇒ m² = 36
Therefore, m = 6.

Explanation

Wrong answer !

Explanation :

It is given that
12 : m :: m : 3.
This can be written as
12 : m = m : 3
⇒

12 / m

m / 3

m × m = 12 × 3.
⇒ m² = 36
Therefore, m = 6.