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

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There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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Updated on: 11 Nov 2018, 20:41
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Difficulty:

45% (medium)

Question Stats:

61% (00:58) correct 39% (01:01) wrong based on 274 sessions

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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

Originally posted by skamal7 on 19 Mar 2013, 09:27.
Last edited by Bunuel on 11 Nov 2018, 20:41, edited 2 times in total.
Edited the question.
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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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19 Mar 2013, 09:38
2
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.

Hope it's clear.
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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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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 either righ  [#permalink]

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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.

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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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29 Jul 2017, 20:04
danielheulensen wrote:
1. 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.

. GMAT Advanced Quant: 250+ Practice Problems & Bonus Online Resources (Manhattan Prep GMAT Strategy Guides) (p. 95). Manhattan Prep Publishing. Kindle Edition.

why is the answer A) and not C) - why do you only need A rather than both to solve the problem?

Hi..

you have three categories..
1) Who bat with ONLY left hand...... L
2) Who bat with ONLY right hand..... R
3) who bat with both left and right.... B

we are looking for L+B
L+B+R=19, so L+B=19-R
thus we require ONLY R..

lets see the statements..

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

this is NOTHING but R.
so L+B=19-7=12
sufficient

(2) 4 of the batters bat both right-handed and left-handed.
this gives us B, but we require L also....
insuff

A

hope it helps why A alone is sufficient
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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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29 Jul 2017, 20:39
danielheulensen wrote:
1. 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.

. GMAT Advanced Quant: 250+ Practice Problems & Bonus Online Resources (Manhattan Prep GMAT Strategy Guides) (p. 95). Manhattan Prep Publishing. Kindle Edition.

why is the answer A) and not C) - why do you only need A rather than both to solve the problem?

Total members of baseball team $$= 19$$

Total $$=$$ Left handed only $$+$$ Right handed only $$-$$ Both (Right handed and left handed)

(1) $$7$$ of the batters bat right-handed but do not bat left-handed.

$$19 =$$ Left handed only $$+ 7 -$$ Both (Right handed and left handed)

Left handed $$-$$ Both (Right handed and left handed) $$= 19 - 7 => 12$$

Therefore $$12$$ players are left handed.

I is Sufficient.

(2) $$4$$ of the batters bat both right-handed and left-handed.

$$19 =$$ Left handed only $$+$$ Right handed only $$- 4$$

Left handed only $$+$$ Right handed only $$= 19 + 4 => 23$$

We do not know value of Right handed only or Left handed only. Hence II is Not Sufficient.

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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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29 Jul 2017, 21:02
The language IS confusing...many would think it is asking for OL(only left no right), but it is actually asking for OL + B ... since both here consists of left handed players too. Thanks for sharing the question..

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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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29 Jul 2017, 21:05
danielheulensen wrote:
1. 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.

. GMAT Advanced Quant: 250+ Practice Problems & Bonus Online Resources (Manhattan Prep GMAT Strategy Guides) (p. 95). Manhattan Prep Publishing. Kindle Edition.

why is the answer A) and not C) - why do you only need A rather than both to solve the problem?

Let batter who bats only right handed = R
batter who bats only left handed = L
and both handed = B
R+L+B=19
We need to determine L+B =?

(1) 7 of the batters bat right-handed but do not bat left-handed.
R= 7
L+B= 19-7 = 12
Sufficient

(2) 4 of the batters bat both right-handed and left-handed.
B=4
Not sufficient

danielheulensen wrote:
Spoiler question
why is the answer A) and not C) - why do you only need A rather than both to solve the problem?
If the question asked us to determine the batters who bat only left handed, then we would need both R and B both and answer would have been C.
But here we have been asked to determine how many batters are left handed --ONLY is the keyword here .

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Re: There are 19 batters on a baseball team. Every batter bats either righ  [#permalink]

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04 Nov 2018, 04:33
Can someone explain it with the help of double matrix chart?
Re: There are 19 batters on a baseball team. Every batter bats either righ &nbs [#permalink] 04 Nov 2018, 04:33
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