Question

Burgus, Markus and Thomas ate $\frac{2}{16}$, $\frac{2}{8}$ and $\frac{2}{4}$ of an apple pie, respectively. Who ate the most apple pie among the three?

• A. Burgus
• B. Markus
• C. Thomas
• D. All ate equally.

Answer 1

The correct option is C Thomas

$\underset{–}{ConceptInvolved}$:
Inequality gets reversed on taking the reciprocal of the numbers.

$\underset{–}{Method}$:
Since 16>8>4
On taking reciprocal, sign of inequality would get reversed.
$\frac{1}{4}>\frac{1}{8}>\frac{1}{16}$
Multiplying by '2', a positive number wouldn't change the sign of inequality.
$\frac{2}{4}>\frac{2}{8}>\frac{2}{16}$
Thomas ate $\frac{2}{4}$ of the apple pie and is maximum among the three fractions.
Therefore, Thomas ate more apple pie among the three.