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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]

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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, 10:31, edited 1 time in total.
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Re: There are 19 batters on a baseball team. Every batter bats [#permalink]

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

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New post 19 Mar 2013, 11:34
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]

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New post 06 Apr 2013, 03:17
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.

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

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

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

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New post 29 Jul 2017, 16:38
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.


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

Last edited by chetan2u on 29 Jul 2017, 20:58, edited 1 time in total.
formatted the Q..

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

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New post 29 Jul 2017, 21:04
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.


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

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New post 29 Jul 2017, 21:39
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.


[Reveal] Spoiler:
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.

Answer (A)...

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

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New post 29 Jul 2017, 22:02
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 [#permalink]

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New post 29 Jul 2017, 22:05
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.


[Reveal] Spoiler:
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

Answer A
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 [#permalink]

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New post 30 Jul 2017, 01:56
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.


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


Merging topics.

Please read carefully and follow our RULES OF POSTING. Thank you.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: There are 19 batters on a baseball team. Every batter bats   [#permalink] 30 Jul 2017, 01:56
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