Question

Madan picks up three different digit from the set {1, 2, 3, 4, 5} and forms a mixed number by placing
the digit in the space $\square \frac{\square }{\square }$ The fractional part of the mixed number should be less than 1 ( for example $4\frac{2}{3}$) what is the difference between the largest and smallest possible mixed number that be formed ?

• A. $4\frac{7}{20}$
• B. $4\frac{3}{10}$
• C. $4\frac{9}{20}$
• D. $4\frac{3}{5}$

Answer 1

The correct option is A $4\frac{7}{20}$

The largest number $=5\frac{3}{4}$
The smallest number $=1\frac{2}{5}$
$\therefore$ Required difference = $5\frac{3}{4}-1\frac{2}{5}=\frac{23}{4}-\frac{7}{5}$
$=\frac{115-28}{20}=\frac{87}{20}=4\frac{7}{20}$