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If 60 percent of the employees at company X are female, does

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If 60 percent of the employees at company X are female, does [#permalink] New post 20 Oct 2009, 12:02
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A
B
C
D
E

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60% (01:00) correct 40% (01:13) wrong based on 134 sessions
If 60 percent of the employees at company X are female, does company x have more than 100 female employees?

(1) Company X has more than 150 employees
(2) Company X has 74 more female employees than male employees.
[Reveal] Spoiler: OA
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Re: Female [#permalink] New post 20 Oct 2009, 12:16
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TheRob wrote:
Would you please explain me how to solve this one?

9.- if 60 percent of the employees at company X are female, does company x have more than 100 female employees?

1) Company X has more than 150 employees
2) Company X has 74 more female employees than male employees.


1. if company X has 200 employes then no. of female employees will be 120 but if no. of employees is 160 (>150) then no. of female employees will be 96. hence insuff
2. given 60% is female employee then 40% is male employee
74 is the difference in number of female and male employee which is equal to 20% of employees (60% - 40%). So 60% will be more than 100. hence suff

ans B
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Re: Female [#permalink] New post 20 Oct 2009, 12:22
Expert's post
TheRob wrote:
Would you please explain me how to solve this one?

9.- if 60 percent of the employees at company X are female, does company x have more than 100 female employees?

1) Company X has more than 150 employees
2) Company X has 74 more female employees than male employees.


60%E=F
Q is F>100

(1) E>150 --> F/60%>150 --> F>90. Not sufficient
(2) M=F-74 --> E=M+F --> 60%(F+F-74)=F --> 1.2F-44.4=F --> F=44.4/0.2=222>100 Sufficient.

Answer: B.
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Re: Female [#permalink] New post 20 Oct 2009, 12:24
Absolutely right thanks alot
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Re: Female [#permalink] New post 20 Oct 2009, 12:38
B it is.my approach is same as astermatrix
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Re: Female [#permalink] New post 21 Oct 2009, 10:57
I got B too.

B gives you two equations for two variables, so you can solve.
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Re: Female [#permalink] New post 05 Sep 2011, 05:41
let the no. of employees = x

3x/5 = females (60%
2x/5 = males (40%)

3x/5 > 100 ?
OR x > 500/3 ?

1) x > 150. INSUFFICIENT.

2) 3x/5 - 2x/5 = 74. SUFFICIENT. no need to solve the equation though.
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Re: Female [#permalink] New post 09 Sep 2011, 20:45
Quote:
9.- if 60 percent of the employees at company X are female, does company x have more than 100 female employees?

1) Company X has more than 150 employees
2) Company X has 74 more female employees than male employees.



DS1 Alone. For 150 Employee, Female is 90. For 300 Employee, Female is 180. Not Sufficient. Choice left BCE
DS2 Alone: (60%F-40%M)=20% is 74, hence Female is, 3x74 = 222. Sufficient. Cross CE
So answer is B.
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Re: Female [#permalink] New post 22 Sep 2011, 12:27
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From 1. we can deduce that, number of female employes is 96 and we can answer the question(dose company X have more than hundred female employees).
NO is the answer.
I suppose its an YES/NO question.
MY ANSWER IS 'D'
LET ME KNOW, IF I AM WRONG...
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Re: Female [#permalink] New post 22 Sep 2011, 22:10
sailor_kiran wrote:
From 1. we can deduce that, number of female employes is 96 and we can answer the question(dose company X have more than hundred female employees).
NO is the answer.
I suppose its an YES/NO question.
MY ANSWER IS 'D'
LET ME KNOW, IF I AM WRONG...



No... you are wrong. if you read the question more carefully. 1 says employees are more that 150... if it is 150 female = 90. if 200 female = 120. so no of female can be less or more than 100.

Hence 1 is not sufficient.
2 alone is sufficient.

Answer is B.
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Re: Female [#permalink] New post 22 Sep 2011, 22:28
sailor_kiran wrote:
From 1. we can deduce that, number of female employes is 96 and we can answer the question(dose company X have more than hundred female employees).
NO is the answer.
I suppose its an YES/NO question.
MY ANSWER IS 'D'
LET ME KNOW, IF I AM WRONG...


The number can be less than or more than 100; if no. of employees is 320 (greater than 150), no. of female employees is 192 and by your own calculation, no. of female employees can be 96.

In the second statement the difference in no. of men & women, which is 20% of the total no. of employees, is 74
since 20% of x is 74;
60% of x is 74*3
So statement 2 is sufficient but statement 1 is not.

so B
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Re: If 60 percent of the employees at company X are female, does [#permalink] New post 09 Dec 2013, 05:42
TheRob wrote:
If 60 percent of the employees at company X are female, does company x have more than 100 female employees?

(1) Company X has more than 150 employees
(2) Company X has 74 more female employees than male employees.


We are asked if 3/5x>100 or if x>166 or x>=167
Were 'x' stands for total employees
Statement 1
x>150. Clearly Insuff

Statement 2
F = M+74 --> 3/5x = 2/5x + 74 ---> 1/5x = 74.
Hence x=370

Suff

Answer is B

Hope it helps
Cheers!
J :)
Re: If 60 percent of the employees at company X are female, does   [#permalink] 09 Dec 2013, 05:42
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