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Store S sold a total of 90 copies of a certain book during

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New post 08 Aug 2008, 03:24
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Store S sold a total of 90 copies of a certain book during the seven days of last week, and it sold different numbers of copies on any two of the days. If for the seven days Store S sold the greatest number of copies on Saturday and the second greatest number of copies on Friday, did Store S sell more than 11 copies on Friday?

1) Last Week Store S sold 8 copies of the book on Thursday

2) Last week Store S sold 38 copies of the book on Saturday

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New post 08 Aug 2008, 03:37
Answer D.

Stmt 1 is sufficient. If the store sold 8 copies on Thursday and second highest number of books on Friday, then on Friday he must have sold more than 11 so that on other days he could have sold at least 11 and on Saturday the remaining.

Stmt 2 is sufficient. Similar logic as for stmt 1.

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New post 08 Aug 2008, 04:02
hmm, if D is correct, then
1,2,3,4,8,9,63 is one option
1,2,3,4,8,12,60 is another option... out of whihc on friday 9 and 12 copies can be sold.
i think this is wrong...

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New post 08 Aug 2008, 06:11
B should be the answer. 38 on Saturday means it has to be greater than 11. With 11 on Friday, and 11 being second highest, we cannot get to 90. Only till 89 :)

no fixed approach.. trial and error.

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New post 08 Aug 2008, 21:10
arjtryarjtry wrote:
Store S sold a total of 90 copies of a certain book during the seven days of last week, and it sold different numbers of copies on any two of the days. If for the seven days Store S sold the greatest number of copies on Saturday and the second greatest number of copies on Friday, did Store S sell more than 11 copies on Friday?

1) Last Week Store S sold 8 copies of the book on Thursday

2) Last week Store S sold 38 copies of the book on Saturday


good question

total no. of copies =90
(1) 8 on thursday hence 90-8(5)=50 => minimum to be sold on sat to make gretest set sold on sat is 26 hence 24 is maximum that could be sold on friday
now consider min that could be sold on friday to make it second largest ,then 9 can be possible,10,11 15 etc rest sold on sat.
INSUFFI
(2)38 on sat means 52 sold on rest 6 days => maximum that could be sold ion 5 days is 40 so that 12 on friday is second greatest.
hence minimum sold on friday is 12 which > than 11hence SUFFI

IMO B
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New post 15 Aug 2008, 23:11
arjtryarjtry wrote:
Store S sold a total of 90 copies of a certain book during the seven days of last week, and it sold different numbers of copies on any two of the days. If for the seven days Store S sold the greatest number of copies on Saturday and the second greatest number of copies on Friday, did Store S sell more than 11 copies on Friday?

1) Last Week Store S sold 8 copies of the book on Thursday

2) Last week Store S sold 38 copies of the book on Saturday


Frds,

I think the key over here is "and it sold different numbers of copies on any two of the days"

From 1)

If 8 copies were sold on Thursday, then:

Case 1
5,6,7,8,12,50,2

Case 2
5,6,7,8, 10, 50, 4

Thus insufficient


From 2)

If 38 copies were sold on Saturday, thn:

Case 1
5,6,7,8,16,38,10

Case 2

6,7,8,9,11,38,10

sum = 89

Thus not possible

Answer is B.

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Re: books and days   [#permalink] 15 Aug 2008, 23:11
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