Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2005 · Marks: · Difficulty:
The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$. The greater fraction is
(a)$\frac{4}{5}$
(b)$\frac{7}{6}$
(c)$\frac{7}{4}$
(d)$\frac{7}{3}$
Answer
Answer (as printed): B
Explanation
Let the two fractions be $a$ and $b$. Then, $a b=\frac{14}{15}$ and $\frac{a}{b}=\frac{35}{24}$. $$\begin{aligned} & \quad \frac{a b}{(a / b)}=\left(\frac{14}{15} \times \frac{24}{35}\right) \Leftrightarrow b^{2}=\frac{16}{25} \Leftrightarrow b=\frac{4}{5} ; \\ & a b=\frac{14}{15} \Rightarrow a=\left(\frac{14}{15} \times \frac{5}{4}\right)=\frac{7}{6} . \end{aligned}$$ Since $a>b$, so greater fraction is $\frac{7}{6}$.
Explanation as extracted from the printed page; notation may be imperfect.