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a) 5 : 7 : 11
b) 6 : 10 : 13
c) 8 : 12 : 17
d) 4 : 5 : 9
correct answer is : b) 6 : 10 : 13
Explanation
Here, A : B = 3 : 5
\therefore\ \frac{A}{B}\ =\ \frac{3}{5}
And, B : C = 10 : 13
\therefore\ \frac{B}{C}\ =\ \frac{10}{13}
\therefore\ \frac{A}{B}\ =\ \frac{3\ \times\ 2}{5\ \times\ 2}\ =\ \frac{6}{10}
\frac{B}{C}\ =\ \frac{10\ \times\ 1}{13\ \times\ 1}\ =\ \frac{10}{13} [ make the B’s value same]
\therefore\ A : B : C = 6 : 10 : 13
Ans: A : B : C = 6 : 10 : 13
