A) 4 : 5 : 6
B) 4 : 7 : 5
C) 5 : 7 : 4
D) 5 : 6 : 8
Correct Answer: A
Solution :
[a] \[(A+B+C)=\frac{1}{8}\] (i) \[A+C=\frac{1}{12}\] (ii) and \[A+B=\frac{1}{13\frac{1}{3}}=\frac{1}{\frac{40}{3}}=\frac{3}{40}\] (iii) Now, solving (i), (ii) and (iii), we have \[A=\frac{1}{30},\] \[B=\frac{1}{24}\] and \[C=\frac{1}{20}\] \[\therefore \] Required ratio \[=\frac{1}{30}:\frac{1}{24}:\frac{1}{20}=\frac{120}{30}:\frac{120}{24}:\frac{120}{20}=4:5:6\] |
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