Tickets

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 am; Thanked: 3 times; Followed by:1 members

Tickets

by gmat009 » Mon Nov 17, 2008 10:26 am

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

Quote

Source: Beat The GMAT — Data Sufficiency | Mon Nov 17, 2008 10:26 am

mals24: Legendary Member; Posts: 683; Joined: Tue Jul 22, 2008 1:58 pm; Location: Dubai; Thanked: 73 times; Followed by:2 members

by mals24 » Mon Nov 17, 2008 11:07 am

IMO B

n is the total number of tickets sold to the first 6 groups.

St 1: There are no more than 4 people in a group
If there are equal number of people in each group then n will be even.

If the number is not equal, n could be odd or even.

3+4+2+3++3+4 = 19
Hence st 1 is INSUFF.

St 2 the 19th person purchases tickets for the 7th group. Since the first person of each group purchases tickets for each group, this statement means there were a total of 18 people standing before him in the line.
Hence n is even.
St2 is SUFF

Answer should be B

Quote

4meonly: Legendary Member; Posts: 891; Joined: Sat Aug 16, 2008 4:21 am; Thanked: 27 times; Followed by:1 members; GMAT Score:660(