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A line of people waiting to buy a device

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Intern
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Joined: 10 Feb 2017
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A line of people waiting to buy a device  [#permalink]

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New post 25 Jun 2018, 02:22
1
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

49% (01:52) correct 51% (01:52) wrong based on 47 sessions

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A line of people waiting to buy a device, 12% of the people have to wait at least 5 minutes, 4% of the people have to wait at least 10 minutes, how many people waiting at least 5 but no more than 10 minutes?

(1): The total number of people is 75
(2): There are 9 people waiting at least 5 minutes
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Joined: 07 Jun 2018
Posts: 35
Location: India
Concentration: International Business, Economics
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Re: A line of people waiting to buy a device  [#permalink]

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New post 25 Jun 2018, 02:37
Now from the question we get only vague data points but no solid points.
So we directly go to option 1 :

Total number of people = 75
People who have to wait at least 5 minutes = 12/100*75 = 9 people
People who have to wait for at least 10 minutes = 4/100*75 = 3 people

Now we need to find the number of people who have to wait for 5 minutes but not more than 10 minutes.

Now people who wait for at least 10 may have to wait for more than 10 minutes as well.
We can find number of people who have to wait between 5-10 minutes if we know the number of people who have to wait for more than 10 minutes.

which is not provided so option 1 isINSUFFICIENT.

Now moving to option 2:

Option 2 just provides redundant info that was already known from option 1.
Thus this is also INSUFFICIENT.

So answer should be : E
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Taking GMAT on 16th August 2018. Aiming for ISB YLP and MiM programs in Europe. Please give kudos if you like something I do. :)

Intern
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Joined: 19 Jun 2016
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Concentration: Strategy
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Re: A line of people waiting to buy a device  [#permalink]

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New post 25 Jun 2018, 07:02
12% have to wait at least 5 minutes. This implies that 88% (100%-12%) of them wait less than 5 minutes.
1. People waiting less than 5 minutes = 88% of 75 = 66.
4% have to wait 10 minutes or more ( since it says at least 4%) therefore, 3 wait more than 10.
Hence, in 75, 66 wait less than 5, 3 wait more than 10, (75-66-3)6 wait between 5 to 10.
1 is sufficient.

2. 9 people wait at least 5 minutes, implies that 12% of the people wait at least 5 minutes, therefore doing math, this statement gives us that 100% constitutes to 75 people, the same as statement 1.
Hence sufficient.
Answer: D

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Joined: 19 Jun 2016
Posts: 20
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Concentration: Strategy
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Re: A line of people waiting to buy a device  [#permalink]

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New post 25 Jun 2018, 07:36
1
In hindsight, because it says 10 minutes or more, it could be exactly at 10 minutes, and hence belong to both the categories, and hence double counted.
Therefore, the answer is E.
Apologies.

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Re: A line of people waiting to buy a device &nbs [#permalink] 25 Jun 2018, 07:36
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