MCQ
Mark against the correct answer in the following:
If $\text{A}=\frac{1}{3}\text{B}$ and $\text{B}=\frac{1}{2}\text{C}$, then $A : B : C = ?$
  • $1 : 3 : 6$
  • B
    $2 : 3 : 6$
  • C
    $3 : 2 : 6$
  • D
    $3 : 1 : 2$

Answer

Correct option: A.
$1 : 3 : 6$

$\text{A}=\frac{1}{3}\text{B, B}=\frac{1}{2}\text{C}$
$\frac{\text{A}}{\text{B}}=\frac{1}{3},\frac{\text{B}}{\text{C}}=\frac{1}{2}$
$\Rightarrow\text{A : B}=1:3$
$\text{B : C}=1:2=3:6$
(Multiplying by $3)$
$\therefore\text{A : B : C}=1 : 3 : 6$

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