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

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.

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

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.

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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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

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

"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...)

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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