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

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Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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New post 12 Jun 2007, 01:06
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E

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Set A has 20 numbers and B has 40 numbers. Is the range of B greater than 45?

(1) The range of A and B combined exceeds 50
(2) Range of B is greater than range of A
[Reveal] Spoiler: OA

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Director
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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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New post 12 Jun 2007, 01:31
vshaunak@gmail.com wrote:
Set A has 20 numbers and B has 40 numbers. Is the range of B greater than 45?
1). The range of A and B combined exceeds 50
2). Range of B is greater than range of A

i'll go w/E.
1) set A at most will have a range of 20 #s. if so, B will have a range of at least 30 #s. w/o factoring in A having a range less than 20 we can see that this is already ins.

2) this tells us nothing. set a can be composed of nineteen 1s and one 5. set b can be composed of twelve 1s, thirteen 2s and fifteen 3s.

1 and 2 - again, the range of A can be 20 and the range of B can be 31. here, B is greater than A and A and B 's range exceed 50.

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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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New post 12 Jun 2007, 04:22
E for me too.
Statement 2 is clearly insufficient. Statement 1 also doesn't shed much light. If Set A and B are combined and their range is . 50, still we dont know about the range of B as B could be comprised of 40 1's and A could containing 1 & 100.
Both statement staken together also tell nothing.

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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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New post 12 Jun 2007, 04:45
vshaunak@gmail.com wrote:
Set A has 20 numbers and B has 40 numbers. Is the range of B greater than 45?
1). The range of A and B combined exceeds 50
2). Range of B is greater than range of A



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. :?:

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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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New post 21 Jun 2015, 16:38
Bunuel and Karishma can you Please solve this question?
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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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New post 21 Jun 2015, 19:28
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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:
[Reveal] Spoiler:
E


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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B [#permalink]

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Re: Set A has 20 numbers and B has 40 numbers. Is the range of B   [#permalink] 26 Nov 2017, 05:22
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