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# Of the five people in the city, 1 subscribed to magazine A,

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Director
Joined: 17 Oct 2005
Posts: 938
Followers: 1

Kudos [?]: 68 [0], given: 0

Of the five people in the city, 1 subscribed to magazine A, [#permalink]  14 Apr 2006, 18:49
Of the five people in the city, 1 subscribed to magazine A, 2 subscribed to magazine B, 3 subscribed to magazine C, 5 subscribed to magazine D. If three people subscribed to two magazines and one person subscribed to all the magazines, how many magazines did the fifth person subscribe?
Senior Manager
Joined: 08 Sep 2004
Posts: 258
Location: New York City, USA
Followers: 1

Kudos [?]: 11 [0], given: 0

The fifth persor subscribed to 1 magazine. Magazine D.

- Vipin
Director
Joined: 17 Oct 2005
Posts: 938
Followers: 1

Kudos [?]: 68 [0], given: 0

oa is 1, what equation did you use vipin?
Intern
Joined: 04 May 2004
Posts: 48
Location: India
Followers: 0

Kudos [?]: 21 [0], given: 0

Quote:
Of the five people in the city, 1 subscribed to magazine A, 2 subscribed to magazine B, 3 subscribed to magazine C, 5 subscribed to magazine D. If three people subscribed to two magazines and one person subscribed to all the magazines, how many magazines did the fifth person subscribe?

This is not a proper way to solve question but I think it works ....

Total number of subscriptions = 1(A) + 2(B) + 3(C) + 5(D) = 11

3 people subscribe to 2 magazines each (6 subscriptions)
1 person subscribes to all 4 (4 subscriptions)

Total subscriptions is 10

The difference is the answer. 1 magazine.
_________________
Senior Manager
Joined: 08 Sep 2004
Posts: 258
Location: New York City, USA
Followers: 1

Kudos [?]: 11 [0], given: 0

This is how I solved this -

M T-----x y z w
----------------------
A 1-----1 0 0 0
----------------------
B 2-----1 1 0 0
----------------------
C 3-----1 0 1 1
----------------------
D 5-----1 1 1 1
-----------------------

T is total number of magazines.

x subscribed to all the magazines.

y,z, and w subscribed to two magazines each.

That leaves only one magazine left. Magazine D. For the fifth person.

HTH...
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