Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 17:13

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# There are 68 children in the cafeteria of a school and all

Author Message
TAGS:
Manager
Joined: 10 Oct 2005
Posts: 52
Followers: 1

Kudos [?]: 0 [0], given: 0

There are 68 children in the cafeteria of a school and all [#permalink]  04 May 2006, 17:34
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
There are 68 children in the cafeteria of a school and all of the children have something for lunch. Thirty-four of the children brought lunches from home, 23 of the children bought a drink from the cafeteria beverage machine, and 32 of the children bought fruit in the cafeteria. If 18 children did at least 2 of these things, how many children did exactly two of these things?

(A) 3
(B) 6
(C) 9
(D) 13
(E) 15
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

Draw a venn diagram with the following:

(# All 3) = x
(# Drink + Home) = w
(# Drink + Fruit) = y
(# Home + Fruit) = z
(# Drink only) = 23-w-x-y
(# Home only) = 34-w-x-z
(# Fruit only) = 32-x-y-z

So:

34-x-w-z + 32-x-y-z + 23-w-x-y + x + y + z + w = 68

89 - w - y - z - 2x = 68

w+y+z = 21-2x ----(1)

We also know:
w+y+z+x = 18
w+y+z = 18-x ---(2)

Equate (1) and (2) to get:

21-2x = 18-x
3 = x

Substitute this to (2)

w+y+z = 15.

So Ans = E
Manager
Joined: 10 Oct 2005
Posts: 52
Followers: 1

Kudos [?]: 0 [0], given: 0

Exellent ywilfred !
OA is E.
Similar topics Replies Last post
Similar
Topics:
2 At a certain school with 200 students, all children must 3 05 Jul 2012, 15:15
2 A survey of food preferences by the school cafeteria showed 10 03 Nov 2009, 19:34
A survey of food preferences by the school cafeteria showed 3 23 Jun 2008, 20:46
A survey of food preferences by the school cafeteria showed 5 30 Jun 2007, 11:34
A survey of food preferences by the school cafeteria showed 14 04 Nov 2006, 00:24
Display posts from previous: Sort by