Whole Number : DS Archive
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# Whole Number

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SVP
Joined: 21 Jul 2006
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19 Nov 2007, 08:10
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I really have a hard time with this question. Would you please have a look at it and explain it to me? thanks

A certain shop only sells items for a whole number of dollars and ninety-nine cents. If Mrs. Jones spent less than $50 at the shop, how many items did she buy? (1) She paid$36.72 for the items that she bought.

(2) Mrs. Jones did not spend more than $10.99 for any one item. OA is A, but how???? thanks! Director Joined: 26 Feb 2006 Posts: 904 Followers: 4 Kudos [?]: 110 [0], given: 0 Re: Whole Number [#permalink] ### Show Tags 19 Nov 2007, 08:55 tarek99 wrote: I really have a hard time with this question. Would you please have a look at it and explain it to me? thanks A certain shop only sells items for a whole number of dollars and ninety-nine cents. If Mrs. Jones spent less than$50 at the shop, how many items did she buy?

(1) She paid $36.72 for the items that she bought. (2) Mrs. Jones did not spend more than$10.99 for any one item.

OA is A, but how???? thanks!

should be A.

St 1: it is suff as only 28 items can be purchased.
St 2: it is not suff as we do not know how much she spent. it could be 36.72 or 36.72 + 1.99 or 36.72 + 2.99 or 36.72 + 10.99 or so on. so the number varies.

so A is fine.
Senior Manager
Joined: 09 Oct 2007
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19 Nov 2007, 08:57
I don't know if this is the right procedure, but here's what I did.

You just have to find a number that multiplied by 99 will yield 72 in its last two digits.

Since 8 is the only number that yields a 2 when multiplied by 99 in its last digits, just try until you get the one. 8 yields 7.92, not it. 18 yields 17.82, not it. 28 yields 27.72, so she must have bought 28 items.

Is this correct? Does anyone has a better way to do this?
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19 Nov 2007, 09:20
tarek99 wrote:
I really have a hard time with this question. Would you please have a look at it and explain it to me? thanks

A certain shop only sells items for a whole number of dollars and ninety-nine cents. If Mrs. Jones spent less than $50 at the shop, how many items did she buy? (1) She paid$36.72 for the items that she bought.

(2) Mrs. Jones did not spend more than \$10.99 for any one item.

OA is A, but how???? thanks!

Poorly phrased

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19 Nov 2007, 12:25
I agree. Plus, statement B can't be true. And if I'm right, I think both statements MUST be true in the GMAT at all times. It's a matter of sufficiency, not finding which one is true, and which one isn't.
19 Nov 2007, 12:25
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