There are 50 people in a room ,Twenty -eight are male ,and 32 are under the age of 30 Twelve are males under the age of 30 ,How woman over the age of 30 are in the group ?

Options

A. 2
B. 3
C. 4
D. 5

Answer

A

Explanation

A Venn diagram will help you solve this problem

The two circles represent males and people who are at most 30 years of age , respectively . The part of the rectangle outside both circles represents people who are in neither category , i,e females over the age of 30 ,First fill in the 12 males who are less than or equal to 30 years of age in the intersection of the circles .Since there are 28 males altogether , 16 are male and over 30. since there are 32 people age 30 or less , there are 20 women that age ,Add these together to get 48 people . since there are 50 in the group , 2 must be women over 30 .