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On Monday, Nicole spent $780 on fifty-two collector’s comic

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On Monday, Nicole spent $780 on fifty-two collector’s comic  [#permalink]

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New post Updated on: 27 Jul 2014, 09:36
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Question Stats:

71% (01:44) correct 29% (01:56) wrong based on 116 sessions

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On Monday, Nicole spent $780 on fifty-two collector’s comic books. She then returned to the comic book store on Tuesday and purchased eight more comics. Was the mean price she paid per book more than $20?

(1) Each of the comic books she purchased on Tuesday cost more than $30.

(2) Each of the comic books she purchased on Tuesday cost less than $40.

Originally posted by Vijayeta on 27 Jul 2014, 07:47.
Last edited by Bunuel on 27 Jul 2014, 09:36, edited 1 time in total.
Renamed the topic and edited the question.
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Re: On Monday, Nicole spent $780 on fifty-two collector’s comic  [#permalink]

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New post 27 Jul 2014, 08:08
Vijayeta wrote:
On Monday, Nicole spent $780 on fifty-two collector’s comic books. She then returned to the comic book store on Tuesday and purchased eight more comics. Was the mean price she paid per book more than $20?

(1) Each of the comic books she purchased on Tuesday cost more than $30.

(2) Each of the comic books she purchased on Tuesday cost less than $40.

Can someone please explain.


If the price paid ofr 8 comic books bought on Tuesday = X
Total Price paid = 780 + X
Average Price paid = (780 + X)/(52+8)

Question : Is (780 + X)/(60) > 20 ?
Question : Is (780 + X) > 1200 ?
Question : Is ( X) > 1200-780

Question : Is ( X) > 420 ?

Statement 1) Each of the comic books she purchased on Tuesday cost more than $30
i.e. Total Price paid for 8 books > 8x30
i.e. X > 240
therefore X may or May NOT be greater than 420
INSUFFICIENT

Statement 2) Each of the comic books she purchased on Tuesday cost less than $40
i.e. Total Price paid for 8 books < 8x40
i.e. X < 320
therefore X is certainly lesser than 420
SUFFICIENT

Answer: Option
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Re: On Monday, Nicole spent $780 on fifty-two collector’s comic  [#permalink]

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New post 07 Mar 2017, 20:34
Vijayeta wrote:
On Monday, Nicole spent $780 on fifty-two collector’s comic books. She then returned to the comic book store on Tuesday and purchased eight more comics. Was the mean price she paid per book more than $20?

(1) Each of the comic books she purchased on Tuesday cost more than $30.

(2) Each of the comic books she purchased on Tuesday cost less than $40.


Official solution from Veritas Prep.

The correct response is (B). The average is equal to the sum of terms divided by the number of terms. Here, the question is asking whether ($780 + price of the 8 additional) / 60 > $20, or (780 + x) / 60 > 20. Simplifying, we need to know whether the 8 additional comic books summed to more or less than $420. From Statement (1), if each comic book was more than $30, then all we know is that the 8 additional comic books summed to more than $240. That could be a value less than or greater than $420. Insufficient.

From Statement (2), if each comic book was less than $40, then the sum of the 8 additional comic book was less than $320. Since $320 is less than $420, this is sufficient.
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Re: On Monday, Nicole spent $780 on fifty-two collector’s comic  [#permalink]

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New post 30 Sep 2018, 11:41
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On Monday, Nicole spent $780 on fifty-two collector’s comic &nbs [#permalink] 30 Sep 2018, 11:41
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