In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are…

Let total number of people be x

Workers that are girls = 2x/3

Married girls = (1/2) × (2x/3) = x/3

Married girls who live in hostel = (1/3) × (x/3) = x/9

Girls who doesn’t live in hostel = (2x/3) - (x/9) = 5x/9

Workers that are boys = x - (2x/3) = x/3

Married boys = (3/4) × (x/3) = x/4

Married boys who lives in hostel = (2/3) × (x/4) = x/6

Boys who doesn’t live in hostel = (x/3) - (x/6) = x/6

Workers who don’t live in hostel = (5x/9) + (x/6) = 13x/18

∴ Part of workers who don’t live in hostel = 13/18