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A logistics company sends at least 2 packages every day. Does the tota

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Intern
Joined: 03 Jul 2017
Posts: 5
A logistics company sends at least 2 packages every day. Does the tota [#permalink]

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Updated on: 21 Nov 2017, 20:54
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Difficulty:

45% (medium)

Question Stats:

64% (00:42) correct 36% (00:49) wrong based on 33 sessions

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A logistics company sends at least 2 packages every day. Does the total number of packages sent on any 5 given days exceed 19?

(1) 12 packages are sent on one of the 5 days.

(2) A different number of packages is sent each day.

Originally posted by T03 on 21 Nov 2017, 13:47.
Last edited by Bunuel on 21 Nov 2017, 20:54, edited 1 time in total.
Renamed the topic and edited the question.
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4667
Re: A logistics company sends at least 2 packages every day. Does the tota [#permalink]

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21 Nov 2017, 16:55
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T03 wrote:
A logistics company sends at least 2 packages every day. Does the total number of packages sent on any 5 given days exceed 19?

1) 12 packages are sent on one of the 5 days.

2) A different number of packages is sent each day.

Dear T03,

I'm happy to help.

In a five-day period, at least 2 packages are sent every day. Does the total exceed 19?

Our strategy will be to find the minimum that the company could send in the five days, with each condition. If the minimum is 19 or more, then we would answer "yes" to the prompt. If the minimum possible is less than 19, then we don't know, and don't have sufficient information.

Statement #1: 12 packages are sent on one of the 5 days. Let's assume that the minimum of two is sent on the other four days--that's 2*4 = 8 more, for a total of 12 + 8 = 20. That's the minimum, so it's definitely over 19 in the five-day period. This statement allows us to give a definitive answer to the prompt question, so this statement is sufficient.

Now, we have to ignore statement #1, and consider statement #2 in isolation.

Statement #2: A different number of packages is sent each day. The five smallest distinct positive integers possible here are {2, 3, 4, 5, 6}, and that sum is 20. Again, that's the minimum, so it's definitely over 19 in the five-day period. Again, this statement allows us to give a definitive answer to the prompt question, so this statement is sufficient.

A cool question. OA = (D)

Does all this make sense?
Mike
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Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Intern
Joined: 20 Feb 2017
Posts: 3
Re: A logistics company sends at least 2 packages every day. Does the tota [#permalink]

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21 Nov 2017, 17:15
T03 wrote:
A logistics company sends at least 2 packages every day. Does the total number of packages sent on any 5 given days exceed 19?

1) 12 packages are sent on one of the 5 days.

2) A different number of packages is sent each day.

By the last statement do you mean to say total packages that can be sent in 5 days ?
As per the current statement is unclear by saying that total package that can be sent on any one of the 5 days be greater than 19

Sent from my iPhone using GMAT Club Forum mobile app
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Joined: 22 Aug 2013
Posts: 1270
Location: India
Re: A logistics company sends at least 2 packages every day. Does the tota [#permalink]

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22 Nov 2017, 09:07
GMATNINJA06 wrote:
T03 wrote:
A logistics company sends at least 2 packages every day. Does the total number of packages sent on any 5 given days exceed 19?

1) 12 packages are sent on one of the 5 days.

2) A different number of packages is sent each day.

By the last statement do you mean to say total packages that can be sent in 5 days ?
As per the current statement is unclear by saying that total package that can be sent on any one of the 5 days be greater than 19

Sent from my iPhone using GMAT Club Forum mobile app

Hi

The question stem says, "Does the total number of packages sent on any 5 given days exceed 19?"
I think it clearly means that the question is asking you whether the sum total of packages sent on any 5 given days (in total) exceeds 19 or not?
Re: A logistics company sends at least 2 packages every day. Does the tota   [#permalink] 22 Nov 2017, 09:07
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