MCQ
lf $2a = 3b = 4c$, then $a : b : c =$
- A$2 : 3 : 4$
- B$3 : 4 : 6$
- C$4 : 3 : 2$
- ✓$6 : 4 : 3$
✓
Answer
Correct option: D.
$6 : 4 : 3$
As, $\text{2a}=\text{3b}=4\text{c}$
$\Rightarrow\text{2a}=\text{3b}$ and $3\text{b}=\text{4c}$
$\Rightarrow\frac{\text{a}}{\text{b}}=\frac32$ and $\frac{\text{b}}{\text{c}}=\frac43$
$\Rightarrow\text{a}:\text{b}=6:4$ and $\text{b}:\text{c}=4:3$
$\therefore\text{a}:\text{b}:\text{c}=6:4:3$
Hence, the correct alternative is option $(d).$
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