Question

The number of distinct rational numbers of the form p/q, where p,q $ϵ$ {1,2,3,4,5,6} is

• A. 23
• B. 32
• C. 36
• D. 28

Answer 1

The correct option is A 23

$p=1,q=1,2,3,4,5,6\Rightarrow 6p=2,q=1,3,4,5,6\Rightarrow 3[\because (2,4),(2,6\left)\right]p=3,q=1,2,4,5,6\Rightarrow 4[\because (3,6\left)\right]p=4,q=1,3,5,6\Rightarrow 3[\because (4,6\left)\right]p=5,q=1,2,3,4,6\Rightarrow 5p=6,q=1,5\Rightarrow 2$