How many members of the staff of Advanced Computer Technology Consulti

How many members of the staff of Advanced Computer Technology Consulting are women from outside the United States?

(1) one-fourth of the staff at Advanced Computer Technology Consulting are men
Nothing about US and Non US women is given.

INSUFFICIENT.

(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
Here total staff = 100
20 = Men from US
40 = Women from US.
Neither total men is given nor total US men is given which would have sufficed to answer.

INSUFFICIENT.

Together 1 and 2
Total men = \(\frac{1}{4} * 100\) = 25
As men from US are 20, total women are 75 out of which 40 are from US.

hence women from outside US = 75 - 40 = 35

ANSWER C.

need to determine members of the staff women from outside the US
#1
one-fourth of the staff at Advanced Computer Technology Consulting are men
so 3/4 is woman but insufficient as not given whether from US or outside US and total not know
#2

20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.

it means total staff = 100
and Men from US = 20
and Women from US = 40
so staff outside US = 40
from 1 &2
we know 3/4 is women staff so we have total ; 75 women
so women = from US + not from US
75-40 = not from US
35
IMO C sufficient

How many members of the staff of Advanced Computer Technology Consulting are women from outside the United States?

(1) one-fourth of the staff at Advanced Computer Technology Consulting are men
(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.

………W……M……T
US……
NOT…?
………

(1) one-fourth of the staff at Advanced Computer Technology Consulting are men insufic

………W……M……T
US……
NOT…?
………3/4…1/4…1

(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S. insufic

………W……M……T
US……40%…20%…60%
NOT…?……………40%
………………………100%

(1 and 2) sufic

………W……M……T
US……40%…20%…60%
NOT…[35%]…5%…40%
………75%…25%…100%

Ans (C)

How many members of the staff of Advanced Computer Technology Consulting are women from outside the United States?

(1) one-fourth of the staff at Advanced Computer Technology Consulting are men
—> 25 percent of the staff are men.
Clearly insufficient

(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.

—> 20% —20 individuals —> 100 individuals in total.
—> 20 men from the USA, 40 women from the USA.
But, no info about how many of the rest 40 individuals from outside the USA are women.
Insufficient

Taken together 1&2,
—> in total, there are 25 men in the staff. —> 20 from the USA and 5 from outside the USA.
There are 40 women from the USA —> 100 —40 —20 —5 = 35 women from outside the USA.
Sufficient

The answer is C

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OFFICIAL EXPLANATION

Note that this question asks for a specific number, not a ratio. Consequently, keep in mind that knowing y percent of the total staff is composed of women from outside the United States is not sufficient.

Evaluate Statement (1) alone.
If 25% of the staff are men, 75% must be women.


There is not enough information to determine the number of women from outside the United States. Statement (1) alone is NOT SUFFICIENT.

Evaluate Statement (2) alone.
Since 20 men from the U.S. represent 20% of the staff, the total staff is 100. We also know that there are 20 men from the U.S. and 2(20)=40 women from the U.S. for a total of 20+40=60 employees from the U.S. Consequently, 100-60=40 employees must be from outside the U.S.



Since we cannot determine the breakdown of the 40 employees from outside the U.S., it is impossible to determine the number of women from outside the U.S.; Statement (2) alone is NOT SUFFICIENT.

Evaluate Statements (1) and (2) together.
Fill in as much information as possible from Statements (1) and (2). We now know that there are a total .25(x)=.25(100)=25 men and .75(x)=.75(100)=75 women.



35 members of the staff of Advanced Computer Technology Consulting are women from outside the United States.

Since Statement (1) alone is NOT SUFFICIENT and Statement (2) alone is NOT SUFFICIENT, but Statements (1) and (2), when taken together, are SUFFICIENT, answer C is correct.