In a meeting 10% of the people were absent. Among the present, 20% wer

Question

In a meeting 10% of the people were absent. Among the present, 20% were not interested and 30% were sleepy. If the number of people invited for the meeting was 120, what is the number of people who were interested.

a> 74
b> 64
c> 54
d> 44
e> 41

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Official Answer

A

dorane · Answer

There isn't one; are the sleepy ones interested or not? 
Plus, 20% of those present, i.e. 108 gives you 21.6 people. Uh-oh! Back up! 
Or, 20% + 30% could give you half of the 108 present = 54
And what about the uninvited people?
And how about a question mark at the end?

balaji4799 · Answer

Ans : 64% ?
Reasoning: 
Total people invited : 120
People present : 108 since 10% absent
Not interested people: 10.8 = 11 (coz people should be an integer, and 10% of present people are not interested)
Sleepy people : 32.4 = 33 (coz people should be an integer, and 30% of present people are not interested)
Now Present people = Interested people + Not interested people + Sleepy people
108 = Interested people + 11+33
So, Interested people = 64

Please advise if am accurate or any obvious mistake.

Thanks

abhimahna · Answer

We are no where given that Sleepy people means not interested.

So, Since total = 120.

Present = 108

Not Interested = 22.

So, interested = 86 , which is greater than 70% of the attendees. Hence, Answer should be A.

balaji4799 · Answer

abhimahna  Aha!!! that's the catch. Nice thinking. Appreciate it!

gauravk · Answer

I got option C as answer assuming 30% sleepy one's are also not interested.

abhimahna · Answer

You cannot assume it on your own unless its explicitly stated. This is the main reason this question has included that information just to make people confused.

chetan2u · Answer

Not a 700 level Q..
Only 90% are present..
20% of these are not interested, so remaining 80% are interested..
So (80*90/100)% or 72% are interested..
72% of 120 ...almost 86%
A

gauravk · Answer

Agreed.

Need to follow basic rule of "No Assumptions"

DharLog · Answer

So, you and Chetan got 86, ok. Lets assume that "sleepy" does not mean "not interested".

So why is the answer A after that?

Masterscorp · Answer

The answers are described badly imo.

I think you want to express that 86 > 64 so C might also be a possible answer. Anyways, answer A most accurately described the number of interested people because 74 is the closest option to 86.

DharLog · Answer

I can accept it. But if GMAT does so, it is awful

GyMrAT · Answer

Poor Quality question. Whats the source?

bumpbot · Answer

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In a meeting 10% of the people were absent. Among the present, 20% wer

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