ABC26GN0975 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: 2011 · Marks: · Difficulty:
If $\frac{m}{n}=\frac{4}{3}$ and $\frac{r}{t}=\frac{9}{14}$, the value of $\frac{3 m r-n t}{4 n t-7 m r}$ is
(a)$-5 \frac{1}{2}$
(b)$-\frac{11}{14}$
(c)$-1 \frac{1}{4}$
(d)$\frac{11}{14}$
Answer
Explanation
$\frac{m}{n}=\frac{4}{3}$ and $\frac{r}{t}=\frac{9}{14} \Rightarrow \frac{m r}{n t}=\frac{4}{3} \times \frac{9}{14}=\frac{6}{7}$. ∴ $$\begin{aligned} \frac{3 m r-n t}{4 n t-7 m r} & =\frac{3 \frac{m r}{n t}-1}{4-7 \frac{m r}{n t}}=\frac{3 \times \frac{6}{7}-1}{4-7 \times \frac{6}{7}} \\ & =\frac{\frac{18}{7}-1}{4-6}=\frac{11}{7} \times\left(-\frac{1}{2}\right)=-\frac{11}{14} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
Open in whiteboard · Browse this chapter in the app