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Expert replies
by ankurmit » Mon May 09, 2011 7:23 am
In a group of 80 college students, how many own a car?

(1) Of the students who do not own a car, 14 are male.

(2) Of the students who own a car, 42% are female

pleas help.I will post OA later
--------
Ankur mittal
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Source: — Data Sufficiency |

by manpsingh87 » Mon May 09, 2011 7:50 am
ankurmit wrote:In a group of 80 college students, how many own a car?

(1) Of the students who do not own a car, 14 are male.

(2) Of the students who own a car, 42% are female

pleas help.I will post OA later
own a car=x,do not own a car=y;
x+y=80; also x and y consist of both males and females;

1)now from first many answers are possible; for example y might only consist of 14 males,and 0 females, so number of people who owns car can be 80-14=66; or y consist of 14 males and 6 females in this case no. of people who owns car would be 80-20=60; as we can see different answers are possible hence 1 alone is not sufficient to answer the question..!!!

2) 42%0f x is females; now since both males and females would always be integers, therefore 42% of x must be an integer; 42/100 *x; 21/50*x; therefore x must be 50; hence B alone is sufficient to answer the question..!!!
O Excellence... my search for you is on... you can be far.. but not beyond my reach!
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by ankurmit » Mon May 09, 2011 7:54 am
manpsingh87 wrote:
ankurmit wrote:In a group of 80 college students, how many own a car?

(1) Of the students who do not own a car, 14 are male.

(2) Of the students who own a car, 42% are female

pleas help.I will post OA later
own a car=x,do not own a car=y;
x+y=80; also x and y consist of both males and females;

1)now from first many answers are possible; for example y might only consist of 14 males,and 0 females, so number of people who owns car can be 80-14=66; or y consist of 14 males and 6 females in this case no. of people who owns car would be 80-20=60; as we can see different answers are possible hence 1 alone is not sufficient to answer the question..!!!

2) 42%0f x is females; now since both males and females would always be integers, therefore 42% of x must be an integer; 42/100 *x; 21/50*x; therefore x must be 50; hence B alone is sufficient to answer the question..!!!
grt!!

thanks
--------
Ankur mittal
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