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

Question

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

Bunuel · Answer

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.

skamal7 · Answer

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!!!

doe007 · Answer

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".
 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.

chetan2u · Answer

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

sashiim20 · Answer

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)... _________________ Please Press "+1 Kudos" to appreciate.

pritha.k · Answer

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..

Sent from my X9009 using GMAT Club Forum mobile app

Skywalker18 · Answer

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

EncounterGMAT · Answer

Can someone explain it with the help of double matrix chart?
Thanks in advance.

energetics · Answer

"Every batter bats either right-handed only, left-handed only, or both right-handed and left-handed" means that neither = 0 (they're not batting with their feet, although that would make baseball actually interesting to watch...)

https://i.imgur.com/Adcii8r.png

ueh55406 · Answer

RH' and LH' means Not right handed and not left handed.

Since every one bats, so it's obvious that a person is either a left handed or right handed or both. he/she can't be neither handed. (duh ! that's why they are in the team, right?)

so LH' and RH' column is 0.

we need to find x. and statement 1 gives the answer, x =12.

St2. is Not suff.

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

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