Hi honchos,
In these types of DS questions, the 'key' is to think about what you *really* know and what the possibilities are...
Here, one of the sets COULD be all the same number, the two sets MIGHT "overlap" (or not), etc.
We're told that Set A has 20 numbers and Set B has 40 numbers. We're asked if the RANGE of Set B is greater than 45. This is a YES/NO question.
Fact 1: The combined range of A and B exceeds 50.
IF....
Set A = twenty 5s.
Set B = forty numbers between 0 and 60, inclusive
The answer to the question is YES
IF....
Set A = twenty numbers between 0 and 60, inclusive
Set B = forty 5s
The answer to the question is NO
Fact 1 is INSUFFICIENT
Fact 2: The range of Set B is greater than the range of Set A
IF....
Set A = twenty 5s.
Set B = forty numbers between 0 and 60, inclusive
The answer to the question is YES
IF....
Set A = twenty 5s.
Set B = forty numbers between 0 and 40, inclusive
The answer to the question is NO
Fact 2 is INSUFFICIENT
Combined, we know...
The combined range of A and B exceeds 50.
The range of Set B is greater than the range of Set A
IF....
Set A = twenty 5s.
Set B = forty numbers between 0 and 60, inclusive
The answer to the question is YES
IF....
Set A = twenty numbers between 0 and 20, inclusive
Set B = forty numbers between 20 and 60, inclusive
The answer to the question is NO
Combined, INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich