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by pradeepkaushal9518 » Sat Aug 28, 2010 10:57 pm
set A consists of all positive integers less than 100.set B consists of 10 integers the first four of which are 2,3,5 and 7.what is the difference between the median of set A and the range of set B ?

1.all numbers in set B are prime numbers.
2.each element in set B is divisible by exactly two factors.
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by sirisha.g » Sat Aug 28, 2010 11:42 pm
IMO E
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by pradeepkaushal9518 » Sat Aug 28, 2010 11:56 pm
srisha can u elaborate
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by sirisha.g » Sun Aug 29, 2010 12:10 am
range of numbers in set A is 98(since there are all positive numbers below 100). for set B median is sum of (5th and 6th term) /2

Now consider statement 1) all numbers are prime numbers=> you can have any number for your 5th and 6th term. there is a possibilty of not getting unique value always.

2) same as statement 1

together also not sufficient
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by gmatmachoman » Sun Aug 29, 2010 12:17 am
Set a: { 1 ---------- 99}

Median :50

set b : { 2,3,5,7,11,13,17,19,23,29}

Median : 12

Difference : 50-12 = 38

Pick D

@sirisha...Buddy u misread the question....
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by sirisha.g » Sun Aug 29, 2010 1:04 am
Hi gmatmachoman,
U are right i misread the question(i have been doing mistakes like these off late :( really scarred) but even then i pick E because

Set A: median =50
set B: case1 { 2,3,5,7,11,13,17,19,23,29} => range =27
case2: {2,3,5,7,11,11,13,13,17,17}=> range =15

btw, gmatmachoman it is not median of set B. it is range of set b
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by sirisha.g » Sun Aug 29, 2010 2:44 am
hey pradeep, post the OA
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by pradeepkaushal9518 » Sun Aug 29, 2010 3:02 am
srisha if u were wrong i never ask u to elaborate rather i will ask to rethink so u have chosen correct option but i just want the explanation

govi u also got veritas yaar comm'on just check it out
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by debmalya_dutta » Sun Aug 29, 2010 6:37 am
sirisha.g wrote:Hi gmatmachoman,
U are right i misread the question(i have been doing mistakes like these off late :( really scarred) but even then i pick E because

Set A: median =50
set B: case1 { 2,3,5,7,11,13,17,19,23,29} => range =27
case2: {2,3,5,7,11,11,13,13,17,17}=> range =15

btw, gmatmachoman it is not median of set B. it is range of set b
Statement 2 just says the first 4 prime numbers are 2,3,5,7...It doesnt say that B contains the list of first 10 prime numbers...
So .... B could contain even 113 hoping that 113 ... So...Statement 2 is open ended..
So,,range of B cannot be determined from this
Statement 2 is insufficient

Statement 2 tells me that the median is 50 which is fine...

But , I do not get any information about the range of B from either statements to calculate the difference between the median of A and range of B
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by thirst4edu » Sun Aug 29, 2010 12:39 pm
pradeepkaushal9518 wrote:set A consists of all positive integers less than 100.set B consists of 10 integers the first four of which are 2,3,5 and 7.what is the difference between the median of set A and the range of set B ?

1.all numbers in set B are prime numbers.
2.each element in set B is divisible by exactly two factors.
IMO E

Both statements give same information that set B contains prime numbers only.
So answer either have to be D or E

We cannot find out range of set B using given information, since we dont know if set has first 10 prime numbers or any random prime numbers (apart from those 4 given in question stem).

So Answer is E.
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by Ian Stewart » Tue Aug 31, 2010 4:27 am
pradeepkaushal9518 wrote:set A consists of all positive integers less than 100.set B consists of 10 integers the first four of which are 2,3,5 and 7.
This is not a well-written question. The question talks about "the first four" elements in a set. Well, sets are not ordered; the set {15,3,5,2,7,1} is the same set as the set {1,2,3,5,7,15}. If I talk about the "first four" elements of the set {15,3,5,2,7,1}, am I referring to the four smallest elements (1, 2, 3, and 5), or the first four elements from the left (15, 3, 5, 2)? There is no correct interpretation here. Talking about the "first four" elements in a set is meaningless, and you will never see that phrase on the GMAT. If a list is in order, it's a sequence, not a set.
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by reply2spg » Tue Aug 31, 2010 1:17 pm
Ans can never be E for this question. I agree with Govi abt D, and if not D then should be A, but not E.
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by Ian Stewart » Tue Aug 31, 2010 4:22 pm
reply2spg wrote:Ans can never be E for this question. I agree with Govi abt D, and if not D then should be A, but not E.
Even though I don't like the wording of the question, the answer is certainly E no matter how you interpret it. All you learn from the two statements is that the elements of set B are prime. There's no way to know what the range of set B is, since we don't know the largest element of B; it could be any prime 7 or greater.
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by reply2spg » Tue Aug 31, 2010 4:25 pm
I see now, you are right, I misread the question. I was thinking that first 10 prime numbers. Sorry about that and thanks for pouring in.
Ian Stewart wrote:
reply2spg wrote:Ans can never be E for this question. I agree with Govi abt D, and if not D then should be A, but not E.
Even though I don't like the wording of the question, the answer is certainly E no matter how you interpret it. All you learn from the two statements is that the elements of set B are prime. There's no way to know what the range of set B is, since we don't know the largest element of B; it could be any prime 7 or greater.
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by divineacclivity » Sun Sep 22, 2013 7:15 pm
Ian Stewart wrote:
reply2spg wrote:Ans can never be E for this question. I agree with Govi abt D, and if not D then should be A, but not E.
Even though I don't like the wording of the question, the answer is certainly E no matter how you interpret it. All you learn from the two statements is that the elements of set B are prime. There's no way to know what the range of set B is, since we don't know the largest element of B; it could be any prime 7 or greater.
Statement 2: "Each element in Set B is divisible by exactly two factors."
Does the above statement refer to prime numbers i.e. divisible by 1 & the (prime) number itself? So, could we say that statement 2 is talking about all prime numbers except 1?
thanks in advance.
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