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T03
Joined: 03 Jul 2017
Last visit: 03 Apr 2022
Posts: 10
Given Kudos: 109
Location: India
Schools: ISB'22 Sauder '21 Schulich Jan 2019 Entry
Products:
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
64% (01:05) correct
36%
(01:00)
wrong
based on 131
sessions
History
Date
Time
Result
Not Attempted Yet
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.
(1) 12 packages are sent on one of the 5 days.
(2) A different number of packages is sent each day.
21 Nov 2017, 16:55
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T03
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
21 Nov 2017, 17:15
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T03
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
