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Theater tickets

by greenwich » Fri May 03, 2013 2:18 pm
A line of people waiting to enter a theater consists of 7 separate and successive groups. The first person in each group purchases one ticket for each person in the group and for no one else. If n is the total number of tickets sold for the first 6 groups, is n an even group?

(1) there are no more than 4 people in each group
(2) the 19th person in line purchases the tickets for the 7th group
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Fri May 03, 2013 2:32 pm
greenwich wrote:A line of people waiting to enter a theater consists of 7 separate and successive groups. The first person in each group purchases one ticket for each person in the group and for no one else. If n is the total number of tickets sold for the first 6 groups, is n an even number?

(1) there are no more than 4 people in each group
(2) the 19th person in line purchases the tickets for the 7th group
I think you mean, "is n an even number?"

Target question: Is n even?

Statement 1: There are no more than 4 people in each group
There are several scenarios that meet this condition. Here are two:
Case a: The 1st six group sizes are 2,2,2,2,2,2, in which case n = 12, which means n is even
Case b: The 1st six group sizes are 2,2,2,2,2,3, in which case n = 13, which means n is odd
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The 19th person in line purchases the tickets for the 7th group
This means that there was a total of 18 people in the first 6 groups.
In other words, n = 18, which means n is definitely even
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = B

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by Blue_Skies » Tue May 07, 2013 5:26 pm
greenwich wrote:A line of people waiting to enter a theater consists of 7 separate and successive groups. The first person in each group purchases one ticket for each person in the group and for no one else. If n is the total number of tickets sold for the first 6 groups, is n an even group?

(1) there are no more than 4 people in each group
(2) the 19th person in line purchases the tickets for the 7th group
The question is a bit wordy.
1) Clearly doesn't give you any answers as n can be anything....even or odd.
2) As per given condition, this clearly tells us that their are 18 people till group 6.
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