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# Two teams A and B comprising of 3 members each take part

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Senior Manager
Joined: 17 Dec 2012
Posts: 433
Location: India
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Kudos [?]: 352 [0], given: 14

Two teams A and B comprising of 3 members each take part [#permalink]

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30 Aug 2013, 22:01
00:00

Difficulty:

85% (hard)

Question Stats:

45% (02:48) correct 55% (01:23) wrong based on 64 sessions

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Two teams A and B comprising of 3 members each take part in a Math competition. The test consists of 6 problems and if any member of a team solves 3 problems correctly, then the member wins a gold medal. Did any member of Team A win a gold medal?

1. The total number of correct solutions by both the teams together is 25
2. The number of correct solutions by members of Team A is 7 more than that of Team B
[Reveal] Spoiler: OA

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Manager
Joined: 27 Aug 2014
Posts: 99
Concentration: Finance, Strategy
GPA: 3.9
WE: Analyst (Energy and Utilities)
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Kudos [?]: 73 [0], given: 18

Re: Two teams A and B comprising of 3 members each take part [#permalink]

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23 Nov 2014, 13:46
I tried the problem in the following way:

Let team A consists of members as x,y,z
Let team B consists of members as p,q,r

statement 1- The total number of correct solutions by both the teams together is 25, as the total is 25 and the number of questions are 6, the worst case situation is that each member of team b solve all questions correctly, then team b points are 3 * 6 (number of questions), team a should have 7 points. taking possibilities of this situation
if x - 6, y- 1, and z -0
x- 5, y - 2, z -0
x - 4, y - 3, z- 0
x- 3 , y, -3, z -1 --> note that the numbers can be interchanged between x, y, and z and in either way, any member of team a solves 3 questions, therefor sufficient info.

Statement 2 -> it is just the second part of analysis of statement 1, therefore sufficient.

Re: Two teams A and B comprising of 3 members each take part   [#permalink] 23 Nov 2014, 13:46
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