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If each of the stamps Carla bought cost 20, 25, or 30 cents and she bought at least one of each denomination, what is

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If each of the stamps Carla bought cost 20, 25, or 30 cents and she bought at least one of each denomination, what is

by Vincen » Wed Jun 24, 2020 2:27 am

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If each of the stamps Carla bought cost 20, 25, or 30 cents and she bought at least one of each denomination, what is the number of 25-cent stamps that she bought?

(1) She spent a total of $1.45 for stamps.
(2) She bought exactly 6 stamps.

[spoiler]OA=E[/spoiler]

Source: GMAT Prep
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Source: — Data Sufficiency |

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Re: If each of the stamps Carla bought cost 20, 25, or 30 cents and she bought at least one of each denomination, what i

by Brent@GMATPrepNow » Wed Jun 24, 2020 5:42 am

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Vincen wrote: ↑
Wed Jun 24, 2020 2:27 am
 If each of the stamps Carla bought cost 20, 25, or 30 cents and she bought at least one of each denomination, what is the number of 25-cent stamps that she bought?

(1) She spent a total of $1.45 for stamps.
(2) She bought exactly 6 stamps.

[spoiler]OA=E[/spoiler]

Source: GMAT Prep
Target question: What is the number of 25-cent stamps that she bought?

Tricky question!!
We can quickly see that statements 1 and 2 alone are not sufficient.
The hard part comes when we COMBINE the statements.

Statements 1 and 2 combined
After examining some possible scenarios, we get these two conflicting cases:
Case a: Carla bought 2 20-cent stamps, 3 25-cent stamps, and 1 30-cent stamp (6 stamps for a total of 145 cents). In this case, the answer to the target question is Carla bought 3 25-cent stamps
Case b: Carla bought 3 20-cent stamps, 1 25-cent stamp, and 2 30-cent stamps (6 stamps for a total of 145 cents). In this case, the answer to the target question is Carla bought 1 25-cent stamp
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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