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# An actor read aloud and recorded a certain 420-page book on several

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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
fozzzy wrote:
An actor read alound and recorded a certain 420-page book on several audiotapes. Was the average recording time per page less than 90 seconds?

1) Each tape was at most 40 minutes
2) The book was recorded on 15 tapes

1) Insufficient by itself. 40 minutes/1.5 minutes = 26.67, so 26.67 or more pages per tape needed to satisfy the question.
2) Insufficient by itself. 420 pages/15 tapes = 28 pages/tape

1 + 2 28 pages/tape > 26.67 pages/tape
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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
An actor read aloud and recorded a certain 420-page book on several audiotapes. Was the average recording time per page less than 90 seconds?

Was the total time less than 630 minutes?

(1) Each tape was at most 40 minutes
INSUFFICIENT

(2) The book was recorded on 15 tapes
INSUFFICIENT

1+2)

The total amount of minutes on the audiotapes could be at most, 15*40=600 minutes which answers our question "Was the total time less than 630 minutes?"
SUFFICIENT

(C)
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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
dear experts, chetan2u, Bunuel, VeritasKarishma, GMATBusters, nick1816

I picked up E, because I am not sure whether first 14 tapes are recorded 40mins?

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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
You should check for the extremes in such questions.

For example- Suppose question stem is "Is x<6?" and one of the statement says that x is less than or equal to 3. Even we don't know the exact value of x with the help of the statement, still we can answer the question stem. Same thing is going on in this question.

Combining both statements, average recording time per page $$\frac{15*40}{420 }$$

We use less than or equal to sign here which means $$\frac{600}{420}$$ minutes is the upper limit of our average time. Since our upper limit is smaller than 600/400 or 1.5 minutes, Answer must be C, not E.

zoezhuyan wrote:
dear experts, chetan2u, Bunuel, VeritasKarishma, GMATBusters, nick1816

I picked up E, because I am not sure whether first 14 tapes are recorded 40mins?

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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
We are told the actor read a 420-page book:

420 * 1.5 minutes = 630 minutes

The question rephrased: Did the actor take less than 630 minutes to record the whole book?

(1) Insufficient. We don't know the time per page.
(2) Insufficient. We don't know the time per page.
(1 & 2) The book was recorded on 15 tapes. Each tape was at most 40 minutes.

40 * 1.5 = 600 minutes. The statements combined tell us that the actor recorded the whole book in at most 600 minutes. 600 < 630. Sufficient.
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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
GMATBusters IanStewart

After reading the forum I understood that the Q stem is tekking us that a total of "n" tapes were used to record a book of 420 pages

But, the way the Q stem is written, can't it also mean that each "n" number of tapes has a recording of a book of 420 pages? i.e. each "n" tape had the complete recording of the book?
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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
Hoozan wrote:
After reading the forum I understood that the Q stem is tekking us that a total of "n" tapes were used to record a book of 420 pages

But, the way the Q stem is written, can't it also mean that each "n" number of tapes has a recording of a book of 420 pages? i.e. each "n" tape had the complete recording of the book?

Yes, I agree that the question is open to two interpretations (was the recording of a single book divided among the tapes, or was the entire book recorded on each tape?). Unfortunately the answer to the question is different under those two interpretations as well (if you interpret it differently from how they intend, and assume the entire book was recorded on each tape, then Statement 1 is sufficient alone), so this is, I'd say, one of the very rare official questions that is imperfectly designed.

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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
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Re: An actor read aloud and recorded a certain 420-page book on several [#permalink]
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