correct answer is: c) 9\;:\;12\;:\;10

Explanation

Here,
A\;:\;B\;=\;3\;:\;4
B\;:\;C\;=\;6\;:\;5
Now, we should equal the term of ‘B’
A\;:\;B\;=3\;:\;4=\large\frac{3}{4}\normalsize=\large\frac{3\times3}{4\times3}\normalsize=\large\frac{9}{12}\normalsize=9\;:\;12
B\;:\;C\;=\;6\;:\;5=\large\frac{6}{5}\normalsize=\large\frac{6\times2}{5\times2}\normalsize=\large\frac{12}{10}\normalsize=12\;:\;10
\therefore A\;:\;B\;:\;C=9\;:\;12\;:\;10
Ans: The value of A\;:\;B\;:\;C is 9\;:\;12\;:\;10\;.

Other forms of this specific math question are:

1. Given A : B = 3:4 and B:C = 6:5, what is the ratio of A:B:C?
2. If the ratios A : B = 3:4 and B:C = 6:5 are given, what is the ratio of A:B:C?
3. When A:B = 3:4 and B:C = 6:5, what is the resulting ratio of A:B:C?