MCQ
lf $2a = 3b = 4c$, then $a : b : c =$
- A2 : 3 : 4
- B3 : 4 : 6
- C4 : 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 $(d)$.
$\Rightarrow\text{2a}=\text{3b}$ 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 $(d)$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If two adjacent angles are equal, then each angle measures $90^\circ .$
→$1\frac{1}{4}\%$ as a fraction is:
→The arithmetic mean of the squares of first $n$ natural numbers is:
→Which of the following is a pair of like terms?
Mark $(\checkmark)$ against the correct answer: In the given figure, $AOB$ is a straignt line, $\angle\text{AOC}=56^\circ$ and $\angle\text{BOC}=\text{x}^\circ$ The value of $x$ is:
→The zero of $3 x+2$ is
→What should be subtracted from $\frac{-2}{3}$ to get$\frac{4}{5}?$
→Improper fraction of $ \text{12}\frac{1}{6}$ is:
→In Figure. $PB = PD$. The value of $x$ is:
→Difference of these two numbers $99.999$ and $100$ is:
→