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a) 30 : 60
b) 34 : 64
c) 35 : 64
d) 35 : 60
correct answer is: c) 35 : 64
Here,
A : B = 3 : 4 or \large\frac{3}{4}
B : C = 5 : 6 or \large\frac{5}{6}
C : D = 7 : 8 or \large\frac{7}{8}
Now, multiply all the equation :
\rightarrow\large\frac{A}{B}\times\frac{B}{C}\times\frac{C}{D}\normalsize=\large\frac{3}{4}\times\frac{5}{6}\times\frac{7}{8}
\rightarrow\large\frac{A}{D}\normalsize=\large\frac{35}{64}
\rightarrow A : D = 35 : 64 .
Ans: A : D = 35 : 64 .
