A line of people waiting to enter a theater consists of 7

Question

A line of people waiting to enter a theater consists of seven 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 six 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 seventh group.

ID: 700145
DS21246

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Official Answer

B

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Bunuel · Accepted Answer

Yes, even*even=even and even*odd=even but this is not applicable to this problem.

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

DS21246

(1) There are no more than 4 people in each group.

n is the sum of 6 positive integers each of which is at most 4. From this we cannot say whether n is even or odd. Consider {1, 1, 1, 1, 1, 1} and {1, 1, 1, 1, 1, 2}. Not sufficient.

(2) The 19th person in line purchases the tickets for the seventh group.

This implies that there are 18 people in the first 6 groups, thus n=18=even. Sufficient.

Answer: B.

Hope it's clear.

LM · Answer

From (i), it can be even or odd, because any number between 6 and 24 is possible.

From (ii), it is clearly 18, which is even. Thus "B".

manolas89 · Answer

as you said (2) can cleary answer the question but i think you are wrong for (1) .(1) is suff too because we know it;s about 6 teams and the rule says even*even=even , even*odd=even .

sanjoo · Answer

I chose B.. Bt m thinking one thing that ..N will always b even .. Because..6 groups* X(no of persons in each group)= N .. So n will never b odd integer..

I think question shud have asked that.. THE NUMBER OF MEMBERS IN EACH GROUP IS EVEN OR ODD? then Choice B wud be No. because 18 total members will contain 3 members in each group..so 6*3= 18..

correct me if m wrong

Bunuel · Answer

The question asks whether n is even. n does not equal to 6*(the # of people in each group) because the # of people in each group is not necessarily the same. For example, if the # of people in 6 groups are {1, 1, 1, 1, 1, 2} then n=7=odd.

Hope it's clear.

LogicGuru1 · Answer

we have to figure out the number of ticket sold (thus by logical extension the number of people in the group) ; we have to exclude the 7th group
(1) There are no more than 4 people in each group 
6 group * (1 person or 2 person or 3 person or max 4 person)
total people can be 6 to 24 
NOT SUFFICIENT

(2) The 19th person in line purchases the tickets for the 7th group
The beginning of 7th group is 19, so it means the end of 6th group is 18 
18 is even ; so the number of people is even 
SUFFICIENT
ANSWER B

Archit3110 · Answer

from the question we can say that there are 7 total groups
target
if n is the total number of tickets sold for the first 6 groups, is n an even group

#1
(1) There are no more than 4 people in each group

this can be yes or no as multiples of all 6 groups can be ( 5 even and 1 odd ) or all even 
#2
The 19th person in line purchases the tickets for the 7th group
which means that for 6 groups total count of tickets were 18 , even
sufficient

sahiti220620 · Answer

what do you mean by successive groups?  bb   Bunuel

Bunuel · Answer

“Successive groups” just means the groups are lined up one after another with no gaps: group 1, then group 2, then group 3, and so on until group 7.

joshuaa77 · Answer

The is an incredibly easy question, the obvious reason why people are getting it wrong is because people are assuming that the groups are of equal size (i.e., hence the questions about how you can possibly get anything other than n being if 6 is even, since even*even = EVEN and even*odd = EVEN.

A line of people waiting to enter a theater consists of 7

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GMAT Data Sufficiency (DS) Questions

A line of people waiting to enter a theater consists of 7

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