Question

If the number of distinct positive rational numbers $\frac{p}{q}$ smaller than 1, where $p,qϵ1,2,3,.....,6$ is k then k is

• A. 10
• B. 11
• C. 7
• D. 9

Answer 1

The correct option is B 11

$\frac{p}{q}<1$ $(1,2,3,4,5,6)$

$\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\frac{1}{6},\frac{2}{3},\frac{2}{5},\frac{3}{4},\frac{3}{5},\frac{4}{5},\frac{5}{6}$

so, total no of value of $k=11$