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Data sufficiency

Expert replies
by Newaz111 » Sun May 03, 2015 12:41 pm
Is m between 35 and 75 ?
(1) m is between 40 and 80.
(2) m is between 50 and 90.

OA is E. I need an explanation.

Thank you..:)
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Source: — Problem Solving |

by Brent@GMATPrepNow » Sun May 03, 2015 12:59 pm
Newaz111 wrote:Is m between 35 and 75 ?

(1) m is between 40 and 80.
(2) m is between 50 and 90.
Target question: Is m between 35 and 75 ?

Statement 1: m is between 40 and 80
This statement doesn't FEEL sufficient, so I'm going to TEST some values.
There are several values of m that satisfy statement 1. Here are two:
Case a: m = 55, in which case m IS between 35 and 75
Case b: m = 76, in which case m is NOT between 35 and 75
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: m is between 50 and 90.
This statement doesn't FEEL sufficient either, so let's TEST some values.
There are several values of m that satisfy statement 2. Here are two:
Case a: m = 55, in which case m IS between 35 and 75
Case b: m = 76, in which case m is NOT between 35 and 75
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are still several values of m that satisfy BOTH statements Here are two:
Case a: m = 55, in which case m IS between 35 and 75
Case b: m = 76, in which case m is NOT between 35 and 75
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Matt@VeritasPrep » Sun May 03, 2015 10:05 pm
S1 gives 40 < m < 80. m could be 79, which is out of range, or 64, which is in range. NOT SUFFICIENT

S2 gives 50 < m < 90. m could be 51, which is in range, or 79, which is out of range. NOT SUFFICIENT

Together, the lower boundary is 50 and the upper boundary is 80. So 50 < m < 80 and again m could be 51 or 79.
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