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# There are 135 employees in Company X. If the number of employees who

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Current Student
Joined: 11 May 2008
Posts: 489
There are 135 employees in Company X. If the number of employees who  [#permalink]

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25 Jul 2008, 18:05
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Difficulty:

65% (hard)

Question Stats:

56% (01:40) correct 44% (01:53) wrong based on 158 sessions

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There are 135 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?

(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Director
Joined: 17 Jun 2008
Posts: 814
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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25 Jul 2008, 18:56
2
arjtryarjtry wrote:
There are 135 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14

since when we say greatest no. of employees have birth in june then compared to other months they over number

now another condition says leasrt possible june birth counts
here consider even distribution of 135 employees among 12 months
11X12 =132

Left 3 : consider them to belong to june hence 11 +3 =14 but we want least possible june births to make it greatest compared to other months ,now take 13 as june born still it remains greatest
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Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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28 Feb 2015, 13:43
2
1
Hi saraafifiahmed,

This question is poorly-worded, but here is the "intent" of it:

135 people will give birth over the course of a full year. The greatest number give birth in June. What is the LEAST number that could occur in June?

This is a "limit" question. To minimize one value, we'll have to maximize all of the OTHERS. Since the answer choices ARE numbers, we can use them to our advantage.

IF....
then each of the other 11 months COULD have had up to 9 births each....
10 + (11)(9) = up to 109 births
This number is TOO SMALL though (because we're supposed to have 135 births).

We need a bigger number for June....

IF....
then each of the other 11 months COULD have had up to 11 births each....
12 + (11)(11) = up to 133 births
This number is also TOO SMALL (it's CLOSE though).

IF....
then each of the other 11 months COULD have had up to 12 births each....
13 + (11)(12) = up to 145 births
This number COULD account for the 135 births the question described. That makes 13 the MINIMUM number that would have to occur in June.

GMAT assassins aren't born, they're made,
Rich
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Joined: 23 May 2006
Posts: 177
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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25 Jul 2008, 18:49
IMO 14

Take each answer choice and substract it from 135 and the divided this with 11.
Current Student
Joined: 11 May 2008
Posts: 489
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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25 Jul 2008, 19:07
1
yes , thats right..
first 11*12months=132.
so rem is 3.
put 1 to any month.
so rem is 2.
out of this , if we should put rem 2 to jun, as anything lower will make it at par with the others.
so ans is 13.
spriya, good one.
GMAT SETS TRAPS LIKE NO ONES BUSINESS!! SO WATCH OUT
Director
Joined: 17 Jun 2008
Posts: 814
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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25 Jul 2008, 19:21
arjtryarjtry wrote:
yes , thats right..
first 11*12months=132.
so rem is 3.
put 1 to any month.
so rem is 2.
out of this , if we should put rem 2 to jun, as anything lower will make it at par with the others.
so ans is 13.
spriya, good one.
GMAT SETS TRAPS LIKE NO ONES BUSINESS!! SO WATCH OUT

i must say this is a quality question
Intern
Joined: 15 Nov 2014
Posts: 12
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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28 Feb 2015, 13:28
Guys sorry for that , do you have any other way to explain for me the logic behind this questions. I am a Math beginner. ) Thanks
Intern
Joined: 15 Nov 2014
Posts: 12
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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28 Feb 2015, 13:53
Thanks a lot Rich. Got it )).
EMPOWERgmatRichC wrote:
Hi saraafifiahmed,

This question is poorly-worded, but here is the "intent" of it:

135 people will give birth over the course of a full year. The greatest number give birth in June. What is the LEAST number that could occur in June?

This is a "limit" question. To minimize one value, we'll have to maximize all of the OTHERS. Since the answer choices ARE numbers, we can use them to our advantage.

IF....
then each of the other 11 months COULD have had up to 9 births each....
10 + (11)(9) = up to 109 births
This number is TOO SMALL though (because we're supposed to have 135 births).

We need a bigger number for June....

IF....
then each of the other 11 months COULD have had up to 11 births each....
12 + (11)(11) = up to 133 births
This number is also TOO SMALL (it's CLOSE though).

IF....
then each of the other 11 months COULD have had up to 12 births each....
13 + (11)(12) = up to 145 births
This number COULD account for the 135 births the question described. That makes 13 the MINIMUM number that would have to occur in June.

GMAT assassins aren't born, they're made,
Rich
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Joined: 09 Sep 2013
Posts: 15011
Re: There are 135 employees in Company X. If the number of employees who  [#permalink]

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24 Jan 2020, 11:08
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Re: There are 135 employees in Company X. If the number of employees who   [#permalink] 24 Jan 2020, 11:08