Maths / Ratio and Proportion / Statement Sums involving Ratios

QUESTION
 

large If : : : A:B=2:3,B:C=4:5: : large and : : C:D=6:7,: : then, : : A:D=  ____________ .

OPTIONS
A. 

2 : 7

B. 

16 : 35

C. 

4 : 13

D. 

7 : 8

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

small frac {A}{B}=frac {2}{3},frac {B}{C}=frac {4}{5},frac {C}{D}=frac {6}{7}

From  small 2^n^d: : and : : 3^n^d  expression we have

small A=frac {2}{3}B,B=frac {4}{5}C,C=frac {6}{7}D

small B=frac {4}{5} times frac {6}{7}D

small A=frac {2}{3} times frac {4}{5} times frac {6}{7}D

small frac {A}{D}=frac {2}{3} times frac {4}{5} times frac {6}{7}=frac {16}{35}

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