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Are more than one half of the females at the company married with chil

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Re: Are more than one half of the females at the company married with chil [#permalink]
Bunuel 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.

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Re: Are more than one half of the females at the company married with chil [#permalink]
Bunuel 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.

HiBunuel,

However, my English is not great at all.

are more than one-half of the females at the company married with children--

At first glance, the meaning of this line seemed:

half of the females at the company married TO THE children (which is not correct).

Correct me if I am wrong.
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Re: Are more than one half of the females at the company married with chil [#permalink]
Statement 1 is insufficient since we do not know if more than half of the females at the company is married with children
Statement 2 is insufficient once again since we do not know if more than half of the females at the company is married with children

Statement 1 and 2 together, we now know that 51% of the workforce is female, married and have children.

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Re: Are more than one half of the females at the company married with chil [#permalink]
Hi All,

This DS question is more of a 'logic' question than a 'math' question (as you have to do almost no math to get to the correct answer).

We're asked if MORE than one half of the FEMALES are MARRIED with CHILDREN. This is a YES/NO question.

1) 51% of the workforce is FEMALE and MARRIED.

From this Fact, we don't know how much of this 51% also has children.

IF... all of the 51% also have children, then the answer to the question is YES.
IF... none of the 51% also have children, then the answer to the question is NO.
Fact 1 is INSUFFICIENT.

2) 49% of the workforce is MALE, married and has children; the rest of the workforce are females and have children.

This Fact tells us that the remaining 51% of the workforce is FEMALE with CHILDREN, but we don't know how much of this 51% also is married.

IF... all of the 51% are also married, then the answer to the question is YES.
IF... none of the 51% are also married, then the answer to the question is NO.
Fact 2 is INSUFFICIENT.

Combined, we know...
51% of the workforce is FEMALE and MARRIED.
51% of the workforce is FEMALE with CHILDREN.
49% of the workforce is MALE....

Since 49% of the workforce involves a group that the question is NOT asking about (male), the remaining 51% must ALL be females, who are married and who have children. Thus, the answer to the question is YES.
Combined, SUFFICIENT.