Set A has 20 numbers and B has 40 numbers. Is the range of B

A = {n1,n2,...,n20} (sorted)
B = {m1,m2,...,m40} (sorted)

Is (m40-m1)>45?

Statement #1
(n20-n1)+(m40-m1)>50 ==> (m40-m1)>50-(n20-n1)
Not sufficient

Statement #2
(m40-m1) > (n20-n1)
Not sufficient

Combined
(m40-m1) = 40
(n20-n1) = 15
(m40-m1)>50-(n20-n1) ==> 40 > 50 - 15 (True)

or

(m40-m1) = 20
(n20-n1) = 15
(m40-m1)>50-(n20-n1) ==> 20 > 50 - 15 (not true)

I'll go with E.

Bunuel and Karishma can you Please solve this question?

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

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