A person distributes his pens among four friends A, B, C and D in the ratio 1/3: 1/4: 1/5: 1/6. What is the… · ABC26GN3093
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: M.A.T. 2010
A person distributes his pens among four friends $A, B, C$ and $D$ in the ratio $\frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{6}$. What is the minimum number of pens that the person should have?
(a)23
(b)55
(c)57
(d)65
Answer
Answer (as printed): C
Explanation
$A: B: C: D=\frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{6}=20: 15: 12: 10$. For each person to have a whole number of pens, the minimum number of pens required $$=20+15+12+10=57 .$$
Explanation as extracted from the printed page; notation may be imperfect.