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

 It is currently 20 Apr 2015, 22:44

### 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

# At a certain airport there are 22 aircraft. 5 of the jets

Author Message
TAGS:
Manager
Joined: 28 Aug 2004
Posts: 205
Followers: 1

Kudos [?]: 1 [0], given: 0

At a certain airport there are 22 aircraft. 5 of the jets [#permalink]  15 Sep 2004, 20:59
At a certain airport there are 22 aircraft. 5 of the jets are not American-built and not British-owned, 3 of the American-built planes are not British-owned and not jets, and 7 of the British-owned planes are not jets and not American-built. If equal numbers are American-built jets, British-owned jets and American-built and British-owned, and 1 jet is American-built and Brirish-owned, how many British-owned jets are there, and how many American-built aircraft?
Director
Joined: 16 Jun 2004
Posts: 893
Followers: 2

Kudos [?]: 19 [0], given: 0

I have the answers as 12 and 8 and hope I haven't made any calculation errors.

See the illustration below..
Also, its given that k+1 = 1+y = 1+z
=>k=y=z

We know that 1+5+y+z+k+0+3+7 = 22
=>y+z+k=6
=>3k=6
=>k=2

Question is what is BO=? which is =1+z+7+k = 1+2+7+2 = 12.
Also, AB=? which is = 1+k+y+3=1+2+2+3 = 8.
Attachments

Jets.JPG [ 18.57 KiB | Viewed 548 times ]

Manager
Joined: 28 Aug 2004
Posts: 205
Followers: 1

Kudos [?]: 1 [0], given: 0

Director
Joined: 16 Jun 2004
Posts: 893
Followers: 2

Kudos [?]: 19 [0], given: 0

As expected, I think I made a subtle error. The question is how many BO JETS are there and How many American Built aircraft are there.

For the first question it should be (from my illustration) it should only be 1+y+z = 5. I added 7 earlier and is wrong. The 7 is Non jets.

For the second question on American built aircraft (not jets) it is = k+3 = 5.
Intern
Joined: 02 Sep 2004
Posts: 42
Followers: 1

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

I solved this problem with 3 venn diagrams or I shd say tried to solve and my answer is:
British Jets = 3
American Aircraft(Jets and Non Jets) = 10 (3 non jets and 7 Jets)

scoobee...
Intern
Joined: 02 Sep 2004
Posts: 42
Followers: 1

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

There are 3 groups American Built, British Owned and Jets. The numbers given fall cleanly in the various buckets of the venn diagram.

Venk,
I think the value 1 corresponds to American Built British Owned Jet which is the area that intersects all the categories, so the equation becomes:

3+7+5 - 3x - 2 = 22
3x = 9
x = 3 = AB+Jets, BO+jets, AB+BO

I think the first question is asking for BO+Jets, so my answer is 3.

The second asks for all American built aircrafts = 3 AB non jets + 3 AB and BO Jets + 3 AB Jets - 1 Jet that is already accounted for which is AB/BO/J. = 8 as opposed to 10 I posted earlier.
Manager
Joined: 28 Aug 2004
Posts: 205
Followers: 1

Kudos [?]: 1 [0], given: 0

That's correct. 3,8.
Similar topics Replies Last post
Similar
Topics:
m22 #5 0 11 May 2010, 23:10
A certain airport security scanner designed to detect 10 30 Jan 2010, 11:02
airport 4 07 Sep 2008, 09:49
A recent study showed that the constant roar of jet aircraft 8 10 Jul 2006, 16:30
A certain airport security scanner designed to detect 8 20 Jun 2005, 10:32
Display posts from previous: Sort by