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# In an office with 21 staff members, 1/3 are men and 2/3 are women. To

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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21 Feb 2018, 23:14
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:47) correct 17% (01:50) wrong based on 57 sessions

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In an office with 21 staff members, 1/3 are men and 2/3 are women. To obtain a staff in which 1/4 are men, how many women should be hired?

(A) 7

(B) 5

(C) 3

(D) 2

(E) 1

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Senior Manager
Joined: 07 Jul 2012
Posts: 367
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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21 Feb 2018, 23:25
Total Members= 21
Men= 7; Women= 14

In 28 Staff members

Men= 7; Women= 21

Thus, 21-14= 7 more women should be hired

Answer: A.
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Current Student
Joined: 07 Jan 2016
Posts: 1086
Location: India
GMAT 1: 710 Q49 V36
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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21 Feb 2018, 23:29
Bunuel wrote:
In an office with 21 staff members, 1/3 are men and 2/3 are women. To obtain a staff in which 1/4 are men, how many women should be hired?

(A) 7

(B) 5

(C) 3

(D) 2

(E) 1

21 staff 1/3 = men = 7

7 men should be equal to 1/4 of total so total = 7x4 = 28

women = 2/3 0f 21 = 14

women hired must be 28-21 = 7

(A) imo
VP
Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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22 Feb 2018, 00:05
2
Bunuel wrote:
In an office with 21 staff members, 1/3 are men and 2/3 are women. To obtain a staff in which 1/4 are men, how many women should be hired?

(A) 7

(B) 5

(C) 3

(D) 2

(E) 1

Total Members = 21
men= 7
women=14

we are looking for the no. of women to be hired therefore no. of men will be 25 % or 1/4

we don't know how many women must be hired to meet the conditions above.

let x be the no. of women.

so, total members will be 21+ x in this case.
logically, we can form equation.

7/(21+x)=1/4

solving equation we get x= 7

back solving can really help us save our time. try .
Senior Manager
Joined: 31 May 2017
Posts: 334
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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22 Feb 2018, 20:33
Total = 21 Members
Men = 7 (33.33%)
Women = 14 (66.66%)

To make total number of Men to 25% or if 7 men is 25% of total employees, 100% is 28 out of which Men=7.
Women = Total - Men = 28-7 = 21

Ans: A
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Manager
Joined: 23 Sep 2016
Posts: 233
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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23 Feb 2018, 00:54
Bunuel wrote:
In an office with 21 staff members, 1/3 are men and 2/3 are women. To obtain a staff in which 1/4 are men, how many women should be hired?

(A) 7

(B) 5

(C) 3

(D) 2

(E) 1

IMO A
I did it with reverse plugin which is follow bellow
TOTAL MALE FEMALE
21 7 14
We know if male is 1/4 then women is 3/4 so if we add any option in our previous total number of women then that number is divisible by 3. Lets look at options.
A 14+7= 21 divisible by 3 leave it
B 14+5= 19 not divisible by 3 eliminated
C 14+3= 17 Not divisible by 3 eliminated
D 14+2= 16 not divisible by 3 eliminated
E 14+1= 15 divisible by 3 leave it
Now plug value take 7
TOTAL MALE FEMALE
28 7 21
so if we verify male is 1/4 hence answer is A.
If you like my explanation Please give me KUDOS
Intern
Joined: 01 Jun 2015
Posts: 41
Location: India
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To  [#permalink]

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23 Feb 2018, 01:13
1
Total = 21
M=7; W= 14

28 Staff members

M= 7; W= 21

Hence 21-14= 7 more W should be hired
Re: In an office with 21 staff members, 1/3 are men and 2/3 are women. To   [#permalink] 23 Feb 2018, 01:13
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# In an office with 21 staff members, 1/3 are men and 2/3 are women. To

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