Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:
Which of the following fractions is the largest?
(a)$\frac{7}{8}$
(b)$\frac{13}{16}$
(c)$\frac{31}{40}$
(d)$\frac{63}{80}$
Answer
Answer (as printed): A
Explanation
L.C.M. of 8, 16, 40 and $80=80$. $$\frac{7}{8}=\frac{70}{80} ; \frac{13}{16}=\frac{65}{80} ; \frac{31}{40}=\frac{62}{80} .$$ Since, $\frac{70}{80}>\frac{65}{80}>\frac{63}{80}>\frac{62}{80}$, so $\frac{7}{8}>\frac{13}{16}>\frac{63}{80}>\frac{31}{40}$. So, $\frac{7}{8}$ is the largest.
Explanation as extracted from the printed page; notation may be imperfect.