Mo2men wrote:Are more than one half of the females at the company married with children?
(1) 51% of the workforce is female and married.
(2) 49% of the workforce is male, married and has children; the rest of the workforce are females and have children.
Let the workforce = 100 people.
Statement 1:
Thus, 51 members of the workforce are married females.
No information about the number of females who have children.
INSUFFICIENT.
Statement 2:
The 100-member workforce is composed of the following:
49 married males with children.
51 females with children.
No information about the number of females who are married.
INSUFFICIENT.
Statements combined:
The 100-member workforce is composed of the following:
Statement 1:
51 married females.
Statement 2: 49 married males with children,
51 females with children.
Since the 100-member workforce is composed of 49 men and 51 women, the values in blue must represent the same 51 females.
Thus, all 51 females are married with children, and the answer to the questions stem is YES.
SUFFICIENT.
Can the above you question solved by double matrix method?
A matrix would be applicable if the problem were constrained to MALE OR FEMALE, MARRIED OR UNMARRIED.
Since the problem includes a third category -- WITH CHILDREN OR WITHOUT -- I don't recommend the use of a matrix.
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