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There are 19 batters on a baseball team. Every batter bats

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There are 19 batters on a baseball team. Every batter bats [#permalink] New post 19 Mar 2013, 09:27
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There are 19 batters on a baseball team. Every batter bats either right-handed only, left-handed only, or both right-handed and left-handed. How many of the 19 batters bat left-handed?

(1) 7 of the batters bat right-handed but do not bat left-handed.
(2) 4 of the batters bat both right-handed and left-handed.

I was using the formula total=only A+only B +both A and b

since in smt1 only A is given and since both is missing chose option A as insufficient and with the available information in option B.chose the answer as C please correct me were i made the mistake
[Reveal] Spoiler: OA

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Last edited by Bunuel on 19 Mar 2013, 09:31, edited 1 time in total.
Edited the question.
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Re: There are 19 batters on a baseball team. Every batter bats [#permalink] New post 19 Mar 2013, 09:38
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There are 19 batters on a baseball team. Every batter bats either right-handed only, left-handed only, or both right-handed and left-handed. How many of the 19 batters bat left-handed?

Notice that {left-handed}={left-handed only}+{both}

(1) 7 of the batters bat right-handed but do not bat left-handed --> {right-handed only}=7, thus the remaining 12 betters are {left-handed only} or {both}, so 12 betters are {left-handed}. Sufficient.

(2) 4 of the batters bat both right-handed and left-handed. Clearly not sufficient.

Answer: A.

Hope it's clear.
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Senior Manager
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Kudos [?]: 67 [0], given: 99

Re: There are 19 batters on a baseball team. Every batter bats [#permalink] New post 19 Mar 2013, 10:34
Bunnel,
According to the question stem does that mean if the batter is right-handed only, left-handed only then he will not be both(right &left) handed batter right? Tats why we are assuming the value of both to be zero in the statement1.Please do let me know whether my understanding is right!!!
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Re: There are 19 batters on a baseball team. Every batter bats [#permalink] New post 06 Apr 2013, 02:17
The batters can be "right-handed only", "left-handed only", or "both right and left handed".

The question is asking "How many of the 19 batters bat left-handed". The answer number will include the categories "left-handed only" and "both right and left handed". This number will be same as total minus "right-handed only".
[Remember, question is not asking to find out "left-handed only".]

1. As 7 batters are "right-handed only", remaining batters will fall under "left-handed only" or "both right and left handed". Answer will be 19-7=12. Sufficient.

2. Number of "both right and left handed" provided. To find the answer, we need one more information ... either number of "right-handed only" or number of "left-handed only". Not sufficient.

Answer is A.
Re: There are 19 batters on a baseball team. Every batter bats   [#permalink] 06 Apr 2013, 02:17
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