Question: Of the 120 people in the room, 3/5 are women. If 2/3 of the people are married, what is the maximum number of women in the room who could be unmarried?
Answer:
Maximum 40 women are unmarried.
In the room , there are (3/5)*120 = 72 Women and hence, 48 Men.
Also, married people are (2/3)*120 = 80 which means that 40 people are unmarried.
Even assuming all of the men are married, this still leaves 80 - 48 = 32 others who are married, and those other are women. So atleast 32 women must be married, which means that maximum possible number of women who are unmaried is 72 - 32 = 40