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
Cheers,
Brent
