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Data Sufficiency: different answers but both correct

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Data Sufficiency: different answers but both correct  [#permalink]

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New post 20 Jan 2019, 07:43
Can a data sufficiency question have different answers from statement 1 and statement 2?
Example (hypothetical question):
Find x?
(1) x - 9 = 10
(2) x - 9 = 15

As you can see, each statement is sufficient but we get different answers from each. Is this a possible GMAT question?

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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 20 Jan 2019, 14:47
Hi jasmitkalra ..... welcome to the community.

The answer is no. You are definitely not going to see such Qs in any GMAT real test.
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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 20 Jan 2019, 22:26
1
jasmitkalra wrote:
Can a data sufficiency question have different answers from statement 1 and statement 2?
Example (hypothetical question):
Find x?
(1) x - 9 = 10
(2) x - 9 = 15

As you can see, each statement is sufficient but we get different answers from each. Is this a possible GMAT question?

Posted from my mobile device


On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. So, for example, you cannot have x > 0 from one statement and x <=0 from another. Such a question would be considered flawed by GMAT standards.

The same for your example. From (1) x = 19 and from (2) x = 24. The statements clearly contradict each other. You own't see such questions on the test.

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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 26 Jan 2019, 13:43
1
jasmitkalra wrote:
Can a data sufficiency question have different answers from statement 1 and statement 2?
Example (hypothetical question):
Find x?
(1) x - 9 = 10
(2) x - 9 = 15

As you can see, each statement is sufficient but we get different answers from each. Is this a possible GMAT question?

Posted from my mobile device


This will never happen on the GMAT. You might see unofficial questions that behave like this - if so, that question is poorly written!

Since you know that this will never happen on the real GMAT, you can actually take advantage of that knowledge on certain problems. For instance, suppose that you're solving this problem:

Is x positive?
(1) x = 2
(2) |x|-x/2 > 0

The first statement is easy - you know x is positive. So that's sufficient. The second statement, you might notice right away that x could be negative. You actually don't have to keep testing cases at this point! Once you know that x could be negative, you know that this statement is insufficient. That's because the statements won't contradict each other: it'll never be the case that (1) says x is always positive, but (2) says x is always negative. The only possibility is that (1) says x is always positive, but (2) says that it could go either way. So the answer would be (A).
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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 26 Jan 2019, 15:26
Hi ccooley,
Thanks for your nice tips. But how do you be sure that x could be negative too in statement 2? Thanks__

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Data Sufficiency: different answers but both correct  [#permalink]

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New post 26 Jan 2019, 15:34
One important question to Bunuel, ccooley,
Here is an example:

Is x positive?
1) definite yes
2) i have no idea
My question: statement 2 may give us only "yes" (but not "no" alone) or both yes and no simultaneously. As far we know that statement 1 and statement 2 can't contradict each other. So, why do we try to find out "yes" from statement 2 since we already know that statement 1 gives only "yes"?
Thanks__

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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 30 Jan 2019, 12:08
AsadAbu wrote:
One important question to Bunuel, ccooley,
Here is an example:

Is x positive?
1) definite yes
2) i have no idea
My question: statement 2 may give us only "yes" (but not "no" alone) or both yes and no simultaneously. As far we know that statement 1 and statement 2 can't contradict each other. So, why do we try to find out "yes" from statement 2 since we already know that statement 1 gives only "yes"?
Thanks__

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Hi Bunuel, hope you are well. Did you miss my question?
I think, this question is too much important to know to solve the DS in quickest way.
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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 30 Jan 2019, 20:42
AsadAbu wrote:
AsadAbu wrote:
One important question to Bunuel, ccooley,
Here is an example:

Is x positive?
1) definite yes
2) i have no idea
My question: statement 2 may give us only "yes" (but not "no" alone) or both yes and no simultaneously. As far we know that statement 1 and statement 2 can't contradict each other. So, why do we try to find out "yes" from statement 2 since we already know that statement 1 gives only "yes"?
Thanks__

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Hi Bunuel, hope you are well. Did you miss my question?
I think, this question is too much important to know to solve the DS in quickest way.


If you have a definite YES from (1), it means that it's sufficient. Now, (2) can give YES too, which would mean answer D, OR sometimes YES, sometimes NO, which would mean answer A. (2) cannot give a NO answer in this case because it would mean that (1) and (2) contradict each other.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 30 Jan 2019, 21:04
Bunuel wrote:
AsadAbu wrote:
AsadAbu wrote:
One important question to Bunuel, ccooley,
Here is an example:

Is x positive?
1) definite yes
2) i have no idea
My question: statement 2 may give us only "yes" (but not "no" alone) or both yes and no simultaneously. As far we know that statement 1 and statement 2 can't contradict each other. So, why do we try to find out "yes" from statement 2 since we already know that statement 1 gives only "yes"?
Thanks__

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Hi Bunuel, hope you are well. Did you miss my question?
I think, this question is too much important to know to solve the DS in quickest way.


If you have a definite YES from (1), it means that it's sufficient. Now, (2) can give YES too, which would mean answer D, OR sometimes YES, sometimes NO, which would mean answer A. (2) cannot give a NO answer in this case because it would mean that (1) and (2) contradict each other.

Hi Bunuel,
Thanks for your feedback. Actually, my question is somewhat different to your feedback! I think, the highlighted part MUST be YES in this case! My question is why do we try to find out YES in statement 2 in this example? Finding YES in statement 2, in this case, is just waste of time, isn't it?
Here is my logic again: Statement 2 can't give ONLY NO in this case, because, then, both statement will contradict each other. So, If we be 100% sure that there is no chance to be NO in statement 2, then we must not try for finding YES value in statement 2. It'll be just waste of time finding YES value in statement 2. Without finding YES, I can definitely say: it is D. Am I right?
Thanks_
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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 09 Feb 2019, 07:56
jk11 wrote:
Can a data sufficiency question have different answers from statement 1 and statement 2?
Example (hypothetical question):
Find x?
(1) x - 9 = 10
(2) x - 9 = 15

As you can see, each statement is sufficient but we get different answers from each. Is this a possible GMAT question?

Posted from my mobile device


The two statements never contradict each other in official questions. This question seems to be poorly written. What's the source?
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Re: Data Sufficiency: different answers but both correct  [#permalink]

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New post 09 Feb 2019, 08:04
CAMANISHPARMAR wrote:
jk11 wrote:
Can a data sufficiency question have different answers from statement 1 and statement 2?
Example (hypothetical question):
Find x?
(1) x - 9 = 10
(2) x - 9 = 15

As you can see, each statement is sufficient but we get different answers from each. Is this a possible GMAT question?

Posted from my mobile device


The two statements never contradict each other in official questions. This question seems to be poorly written. What's the source?



Yes, this is not possible. I just wanted to confirm. This question does not have any source, i made up this hypothetical problem to ask my question. Thanks.
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Re: Data Sufficiency: different answers but both correct   [#permalink] 09 Feb 2019, 08:04
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