# How many un-promoted females are there and how many of them are older than 30 years?

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Out of the 70 employees working with ABC Inc., 30 are females. Also,
24 employees are above 30 years of age
19, amongst the promoted employees are over 30 years, of which 7 are males
12 males are above 30 years of age
15 males have received a promotion
How many un-promoted females are there and how many of them are older than 30 years?

posted Sep 11, 2015

15 females are not promoted, but none of them are over 30
.
Of the 70 employees 30 are promoted. Of these 30, 15 are for males, thus 15 are for females.
Thus 15 females are not promoted.
.
There are 24 employees over 30 of which 12 are male, thus 12 are females.
Of the 19 employees over 30 who are promoted, there are 7 males, thus 12 females.
All females over 30 are promoted.

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A is the father of two children - B and D who are of different sexes.
C is B's spouse.
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B and C have the two children - F who is the same sex as B and G who is the same sex as C.
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Note that no persons have married more than once. Also, there are more number of females than males.

Can you tell how many females are there?