Question

Ram took a glass of milk, drank half and gave it to Shyam who drank two-thirds of the remaining and gave it to Raju who drank the rest. Which of the following statements is true?

• A. Ram drank the most
• B. Shyam drank the least
• C. Ram & Shyam drank equally
• D. Raju drank the most

Answer 1

The correct option is A

Ram drank the most

Fraction of milk consumed by Ram $=\frac{1}{2}$
Fraction of milk consumed by Shyam $=\frac{2}{3}$ of the remaining
$=\frac{2}{3}\times \frac{1}{2}=\frac{2}{6}=\frac{1}{3}$
Fraction of milk consumed by Raju =
$1-(\frac{1}{2}+\frac{1}{3})=1-\frac{5}{6}=\frac{6-5}{6}=\frac{1}{6}$

$\therefore$ Ram is the one who drank the most.