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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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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
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
19 Mar 2013, 10:38
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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.
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.
19 Mar 2013, 11:34
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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!!!
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!!!
