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Set A contains 20 numbers and Set B contains 40 numbers. Is

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New post 10 May 2012, 06:17
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Set A contains 20 numbers and Set B contains 40 numbers. Is the range of Set B greater than 45?

(1) If Set A and Set B are combined, the resulting range exceeds 50.
(2) The range of Set B is greater than the range of Set A.
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New post 10 May 2012, 06:48
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piyushksharma wrote:
Set A contains 20 numbers and Set B contains 40 numbers. Is the range of Set B greater than 45?

(1) If Set A and Set B are combined, the resulting range exceeds 50.
(2) The range of Set B is greater than the range of Set A.


Try to construct two scenarios which give different answers. Even when we consider two statements together:

If A={0, 0, ..., 1} and B={0, 0, ..., 100} then the answer is YES;
If A={0, 0, ...., 30} and B={20, 20, ..., 60} then the answer is NO.

Answer: E.
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Re: Set A contains 20 numbers and Set B contains 40 numbers. Is  [#permalink]

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New post 12 Mar 2019, 19:38
piyushksharma wrote:
Set A contains 20 numbers and Set B contains 40 numbers. Is the range of Set B greater than 45?

(1) If Set A and Set B are combined, the resulting range exceeds 50.
(2) The range of Set B is greater than the range of Set A.



I have one doubt regarding sets that sets contain only different set of numbers and lists are the ones in which same numbers can repeat. Can someone please clarify this doubt.
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Set A contains 20 numbers and Set B contains 40 numbers. Is  [#permalink]

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New post 16 Apr 2019, 01:33
If A={0, 0, ..., 1} and B={0, 0, ..., 100}
If set A and set B are combined, then range is 100-0=100
Again,
If A={0, 0, ...., 30} and B={20, 20, ..., 60} then the combined set will {0,0,-----,20--,30,----60}
Here Range =60-0=60
In both scenarios, combined set range is greater than 50. So, why statement A is insufficient? What I am missing? Bunuel

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New post 16 Apr 2019, 01:37
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msu6800 wrote:
If A={0, 0, ..., 1} and B={0, 0, ..., 100}
If set A and set B are combined, then range is 100-0=100
Again,
If A={0, 0, ...., 30} and B={20, 20, ..., 60} then the combined set will {0,0,-----,20--,30,----60}
Here Range =60-0=60
In both scenarios, combined set range is greater than 50. So, why statement A is insufficient? What I am missing? Bunuel

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The question asks: is the range of Set B greater than 45?

If A={0, 0, ..., 1} and B={0, 0, ..., 100}, then he range of Set B IS greater than 45, it's 100 (the answer is YES);
If A={0, 0, ...., 30} and B={20, 20, ..., 60}, then the range of Set B is NOT greater than 45, it's 40 (then the answer is NO).
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Re: Set A contains 20 numbers and Set B contains 40 numbers. Is  [#permalink]

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New post 16 Apr 2019, 01:45
Set A has 20numbers but since the numbers are not given we cannot decide what it's range is, same goes for set B.
So from statement 1 the range is greater than 50 for both sets put together does not help us to determine if set B's range is greater than 45
Statement 2 says set B's range is greater than that of A
Does not help
Statement 1 and 2 put together does not give any new information.
IMO E

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Re: Set A contains 20 numbers and Set B contains 40 numbers. Is  [#permalink]

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New post 16 Apr 2019, 04:21
Got it. Thanks Bunuel

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Re: Set A contains 20 numbers and Set B contains 40 numbers. Is   [#permalink] 16 Apr 2019, 04:21
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