Integers 9, 11, x, y, 17 are consecutive. Y=?
1) x is odd
2) y is odd
integers
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Hi!ketkoag wrote:Integers 9, 11, x, y, 17 are consecutive. Y=?
1) x is odd
2) y is odd
What's the source of this question? Normally when we discuss "consecutive integers", we specifically mean sets such as {2, 3, 4, 5, 6}.
The word "consecutive" doesn't always mean "consecutive integers"; for example, we could discuss "consecutive odd numbers" or "consecutive multiples or 4".
That said, the only way this question makes sense is if our set is {9, 11, 13, 15, 17} and we are in fact looking at consecutive odd integers.
So, the question really is:
If x and y make up the set {13, 15}, which is which?
(1) x is odd. Could be 13 or 15... insufficient.
(2) y is odd. Could be 13 or 15... insufficient.
Combining: still no clue which is 13 and which is 15: insufficient, choose (E).
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If it's written in order, then we can answer without the statements; therefore, it can't be written in order.david2008 wrote:What is the OA?
It would have to be E if we can't assume the set is written in order but if it is written in order then shouldn't it be C?
In data sufficiency, the original information itself will never be sufficient to answer the question (there's no answer choice that says "the question can be answered without any additional information").
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IMHO I think it is C
if I were solving this problem on exam I would understand the problem as as - 9<11<x<y<17... i.e. numbers are placed in order...
(1) - could be 13 or 15
(2) - could be 13 or 15
combined it y must be 15 because x<y
If I am correct Stuart thinks the problem asks for 'consecutive odd integers' and plus assumes that the numbers are not placed in the way of order... Is this assumption justified? I mean the problem doesn't really mention the word 'odd' , while I think that assumption that values are placed in order is justified...
I think so well because, if the problem was written something like this: the Set (9,11,x,y,17) contains consecutive integers... then I would not assume the order... but the way the question is put I think the order is assumed....
It would be great to hear OA from Ketkoag![Smile :)](./images/smilies/smile.png)
if I were solving this problem on exam I would understand the problem as as - 9<11<x<y<17... i.e. numbers are placed in order...
(1) - could be 13 or 15
(2) - could be 13 or 15
combined it y must be 15 because x<y
If I am correct Stuart thinks the problem asks for 'consecutive odd integers' and plus assumes that the numbers are not placed in the way of order... Is this assumption justified? I mean the problem doesn't really mention the word 'odd' , while I think that assumption that values are placed in order is justified...
I think so well because, if the problem was written something like this: the Set (9,11,x,y,17) contains consecutive integers... then I would not assume the order... but the way the question is put I think the order is assumed....
It would be great to hear OA from Ketkoag
![Smile :)](./images/smilies/smile.png)
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OA ?
I guess it's fair to assume that numbers are written in order.... atleast the wording suggests so...
would really be interested in knowing the OA
I guess it's fair to assume that numbers are written in order.... atleast the wording suggests so...
would really be interested in knowing the OA
Regards,
Ashish Khandelwal
Ashish Khandelwal
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Hi,ketkoag wrote:Integers 9, 11, x, y, 17 are consecutive. Y=?
1) x is odd
2) y is odd
Wherever this question is from, it's not of the GMAT type.
Two issues
First issue:
As Stuart pointed out, when the term "consecutive integers" is used, it is understood that the integers are consecutive by 1. Otherwise, we say consecutive odd, consecutive even, consecutive by ten, etc...
Consecutive integers are just an example of an arithmetic progression (sequence) in which the constant R (the difference between two consecutive terms) is equal to 1.
For consecutive odd integers, R = 2.
For consecutive even integers, R = 2 as well.
So, the question will only make sense if the integers are consecutive odd.
But then, we don't need statements 1 or 2 and the question does no longer qualify as a GMAT DS question.
Second issue.
In the stem,
a)If we were told that the list was ordered, we could answer the questions without the statements: y = 15
b)Likewise, if we were told that the list was unordered, we could answer the questions without the statements: y = 13
Neither case is acceptable in the GMAT DS format as Suart judiciously pointed out.
The real issue is not knowing whether the list is ordered.
For this reason, the correct answer could be any choice depending upon what the statements are.
This may be trivial but a pair of statements could be:
1) the integers are not necessarily in order
2) x - y = -2
Answer: B (y= 15)
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