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# Of the 45 people who plan to buy newspapers, 17 bought Q, 15 bought R,

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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
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Of the 45 people who plan to buy newspapers, 17 bought Q, 15 bought R, [#permalink]

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06 Jan 2012, 03:56
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ssarkar wrote:
Of the 45 people who plan to buy newspapers, 17 bought Q, 15 bought R, 25 bought S, 8 bought both Q and S, 7 bought both R and S, 9 bought both Q and R, the number of the people bought all the three is the same as the number of the people who bought none, and 39 people bought at least one newspaper. How many people bought exactly one newspaper?

There are 45 people.
"the number of the people bought all the three is the same as the number of the people who bought none, and 39 people bought at least one newspaper."
Of 45, 39 people bought at least one paper so 6 people bought none. Therefore, 6 people bought all 3 newspapers.
Attachment:

Ques3.jpg [ 16.43 KiB | Viewed 1042 times ]

We see from the diagram that
17 - 3 - 6 - 2 = 6 people bought only Q
15 - 3 - 6 - 1 = 5 people bought only R
25 - 2 - 6 - 1 = 16 people bought only S

Number of people who bought exactly one paper = 6+5+16 = 27
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Director Joined: 28 Jul 2011 Posts: 563 Location: United States Concentration: International Business, General Management GPA: 3.86 WE: Accounting (Commercial Banking) Followers: 2 Kudos [?]: 188 [0], given: 16 Re: Of the 45 people who plan to buy newspapers, 17 bought Q, 15 bought R, [#permalink] ### Show Tags 06 Jan 2012, 04:44 27 using venn diagrams _________________ +1 Kudos If found helpful.. Re: Of the 45 people who plan to buy newspapers, 17 bought Q, 15 bought R, [#permalink] 06 Jan 2012, 04:44 Similar topics Replies Last post Similar Topics: Jeremy bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% 3 04 Jul 2016, 09:05 Carolyn bought 16 gumballs, Lew bought 12 gumballs, and Carey bought X 4 05 Jan 2015, 07:00 47 100 people are attending a newspaper conference. 45 of them 15 16 Feb 2012, 21:34 2 John buys koolaid for 12$ at a local store. If he bought it at the who 6 06 Apr 2011, 11:09
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