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D01-15

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D01-15 [#permalink]

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Re D01-15 [#permalink]

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New post 16 Sep 2014, 00:12
Official Solution:


Statement 1 is insufficient. Consider \(K=1\) (the answer is YES) and \(K=0\) (the answer is NO). Both \(K\) values hold the inequality true.

Statement 2 is insufficient. The logic is the same as in Statement 1. Consider \(K=1\) (the answer is YES) and \(K=0\) (the answer is NO).

Combining the two statements doesn't give us new information.


Answer: E
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Re: D01-15 [#permalink]

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New post 16 Mar 2015, 22:48
hi Bunuel

you wrote-
'Statement 2 is insufficient. The logic is the same as in Statement 2. Consider \(K=1\) (the answer is YES) and \(K=0\) (the answer is NO).'


In [highlight]statement 2
if we put value k=0 we will get 1>0. which is true. how is this a No
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Re: D01-15 [#permalink]

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New post 17 Mar 2015, 05:33
harDill wrote:
hi Bunuel

you wrote-
'Statement 2 is insufficient. The logic is the same as in Statement 2. Consider \(K=1\) (the answer is YES) and \(K=0\) (the answer is NO).'


In [highlight]statement 2
if we put value k=0 we will get 1>0. which is true. how is this a No


The questions asks whether k is a positive number. For (2) if k = 1 (which satisfies second statement) it IS a positive number but if k = 0 (which also satisfies second statement) it is NOT a positive number (0 is not a positive number, it's neither positive nor negative).
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Re: D01-15 [#permalink]

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harDill wrote:
hi Bunuel

you wrote-
'Statement 2 is insufficient. The logic is the same as in Statement 2. Consider \(K=1\) (the answer is YES) and \(K=0\) (the answer is NO).'


In [highlight]statement 2
if we put value k=0 we will get 1>0. which is true. how is this a No


Your target is to find whether K can be negative or Zero or it is only positive. Remember you have to maintain the condition in statement 2

Now if K is positive, say k=1 statement 2 becomes 1+1> 1 which is true. That means by keeping k positive you can satisfy statement 2

Now if K is negative, say k= -0.5, statement 2 becomes -0.5+1> 0.125 or 0.5> 0.125 which is also true. That means by taking K= negative value you can still satisfy statement 2.

So, K can be positive and negative and zero. Therefore The answer of the question (IS K Positive) can be yes and can be no. Sot sufficient
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Re: D01-15 [#permalink]

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New post 17 Mar 2015, 23:10
Bunuel wrote:
harDill wrote:
hi Bunuel

you wrote-
'Statement 2 is insufficient. The logic is the same as in Statement 2. Consider \(K=1\) (the answer is YES) and \(K=0\) (the answer is NO).'


In [highlight]statement 2
if we put value k=0 we will get 1>0. which is true. how is this a No


The questions asks whether k is a positive number. For (2) if k = 1 (which satisfies second statement) it IS a positive number but if k = 0 (which also satisfies second statement) it is NOT a positive number (0 is not a positive number, it's neither positive nor negative).




ok i got it now. i misunderstood the explanation the first time. thanks guys
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Re: D01-15 [#permalink]

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New post 20 Feb 2017, 10:47
Hi all,

I successfully demonstrated that both statements taken singularly weren't sufficient to answer, however, I found myself stuck when it came to consider them together.
Being uncertain between C and E I simply guessed C..

..how can you say that the two statements are not providing any new information? They're not an identity nor equivalent, so I spent valuable seconds trying to figure out the possible scenarios when combining them.
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Re: D01-15 [#permalink]

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New post 22 Aug 2017, 10:44
Is there any alternative way rather than just value plugging ?
Thanks in advance.
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Re: D01-15 [#permalink]

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Re: D01-15 [#permalink]

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New post 16 Nov 2017, 06:43
Bunuel,

i could see that both the statements individually are insufficient. But i wasn't sure if combing them would make them sufficient .
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Re: D01-15 [#permalink]

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New post 17 Jan 2018, 12:34
Hi everyone,

After demonstrating that each statement alone is not sufficient (by plugging in numbers), I proved that E is the correct answer by adding the two inequalities together:

(1) |K^3|+1>K
(2) K+1>|K^3|
Added together: |K^3|+ K+ 2 > |K^3| + K

After substracting (|K^3| + K) from both sides we get: 2 > 0, which is always true; therefore K can be any number, not only a positive one - the statements taken together are still not sufficent :-)
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Re: D01-15 [#permalink]

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New post 31 Mar 2018, 19:11
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Bunuel
Excellent question. Not a big deal, but small typo in your explanation:
"Statement 2 is insufficient. The logic is the same as in Statement 2."
It should probably read:
"Statement 2 is insufficient. The logic is the same as in Statement 1."
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Re: D01-15 [#permalink]

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New post 01 Apr 2018, 02:27
CPGguyMBA2018 wrote:
Bunuel
Excellent question. Not a big deal, but small typo in your explanation:
"Statement 2 is insufficient. The logic is the same as in Statement 2."
It should probably read:
"Statement 2 is insufficient. The logic is the same as in Statement 1."


Thank you. Edited.
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GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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: D01-15   [#permalink] 01 Apr 2018, 02:27
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