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Understood your point which can be understood in secs but my point is

It said that %4 of the people have to wait at least 10 minutes. This includes people who are waiting for 10 minutes also. Am i right?

What if 3% of people are waiting 10 minutes. Doesn’t it include the question asks at least 5 and but no more than 10 min? So it would be 11% rather than 8%. Do i overthink? I am always suspicious too DS questions

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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
 
Answer: Option D

Please check the video for the step-by-step solution.

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ataman

It seems that you overthink but in this case, you are thinking right. Actually your point is very much valid and considering that the answer should be E unless we know that no-one waited for exactly 10 mins. But in this question, I believe it's only the language ambiguity.
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People who have to wait at least 5 minutes = 12% of Total (T)
People who have to wait at least 10 minutes = 4% of Total

Therefore, people who have to wait at least 5 minutes but not more than 10 minutes = (12-4)% of T = 8% of T

Statements:

(1) The total number of people is 75
We know T and can get 8% of T.

Sufficient.

(2) There are 9 people waiting at least 5 minutes
We get 12% of T and hence 8% of T.

Sufficient.

Hence, the answer is Option (D).

Edit: The language has a little ambiguity but I think the gist is clear.
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Kindly see the attachment.

After reading the first line, you might have guessed Venn Diagram. But this is a simple Set question.
Attachments

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kntombat I guess its easy to fall in D trap in the question, given the statement require both verbal and quant understanding, but the key highlight in question is what is demanded.
we are required to find the number people waiting for at least 5 minutes but no more than 10 minutes
the people waiting time range from 5 =/< WT </= 10

we know, 12% of the people have to wait at least 5 minutes: 12% represents time greater than 5 min or equal to 5 (>/=)
and, 4% of the people have to wait at least 10 minutes: 4% represents time greater than 10 min or equal to 10 (>/=)
but we don't know the percent waiting for exactly 10 min, we want that particular information to solve question

(1) The total number of people is 75
total number don't give information regarding how many % among 4 are particularly waiting for 10 minutes. (Insufficient)

(2) There are 9 people waiting at least 5 minutes
9 refers to the 12% people waiting for at least 5%, but don't show anything regarding the percent waiting for particularly 10 minutes (Insufficient)

Combining both, we still have no information regarding the percentage of people waiting for exact 10 minutes. hence both statements together are insufficient.
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This is an overlapping sets problem. You can break it up into people who wait 'more than 5 min', 'less than 5 min', 'more than 10 min', 'less than 10 min'.

The question asks for the overlap 'how many people wait for more than 5 min but less than 10 min?'

1) The total number of people is 75.

Number of people that wait 'more than 5 min' is 12% of 75 = 9
Number of people that wait 'more than 10 min' is 4% of 75 = 3

There is no info provided on overlaps, so INSUFFICIENT.

2) There are 9 people waiting at least 5 minutes.

From this, you can find the total number of people in line, using the question stem. 12% of the total number = 9, therefore the total number of people is 75. It gives you the same information as Statement 1, so INSUFFICIENT.

Taking the statements together, you still don't get any information about overlaps. The answer should be E.
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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
 
Answer: Option D

Please check the video for the step-by-step solution.

GMATinsight's Solution




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­Hello, I think there is a problem with the logic.  

Example: Take this scenario :

Take 50 people to be a total number/population:

12% of the people have to wait atleast 5 mins. 6 people will wait for atleast 5 mins. This will include the people who might be waiting for more than 10 mins as well.

person a = 9 mins
person b = 9 mins
person c = 9 mins
person d = 6 mins
person e = 10 mins
person f = 12 mins

Here only 2 people(4% of the population) can be included with time more than or equal to 10 mins or else below condition will not be satisfied. 

4% of the people have to wait atleast 10 mins. 2 people will wait for atleast 10 mins. (For this to be 2, we need to make sure that both these people are in the above set as the pool of people is the same)

person e = 10 mins
person f = 12 mins

People waiting for atleast 5 mins but not more than 10 mins should be 5 (more than 8% of the total number of people). Hence not 8% for what you have calculated. 

Bunuel please correct if this logic is flawed. ­
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