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M03-33

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M03-33  [#permalink]

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New post 15 Sep 2014, 23:21
2
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (03:03) correct 33% (00:41) wrong based on 172 sessions

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Re M03-33  [#permalink]

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New post 15 Sep 2014, 23:21
1
Official Solution:


(1) The average (arithmetic mean) of \(x\) and \(z\) equals to \(y\). This statement tells that \(y=\frac{x+z}{2}\): if \(x=y=z=0\) then the answer is NO but if \(x=-1\), \(y=0\) and \(z=1\) then the answer is YES. Not sufficient.

(2) \(x = -z\). Not sufficient since no info about \(y\).

(1)+(2) Examples discussed for statement (1) are still valid, so we can have both NO (\(x=y=z=0\)) and YES (\(x=-1\), \(y=0\) and \(z=1\)) answers. Not sufficient.


Answer: E
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Re: M03-33  [#permalink]

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New post 24 Jun 2015, 22:21
I think a set of 3 equally spaced numbers would also show that statement 1 is insufficient because of the property that mean = median.
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Re M03-33  [#permalink]

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New post 12 Feb 2016, 00:11
I think this is a high-quality question and I agree with explanation. i think it s 700 lv q
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Re M03-33  [#permalink]

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New post 30 Aug 2016, 04:07
I think this is a high-quality question and I agree with explanation.
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Re: M03-33  [#permalink]

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New post 09 Nov 2017, 12:43
If x,y,z are consecutive then
why can't we take x,x+1,x+2? this satisfies st.1

Please help.
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New post 09 Nov 2017, 20:14
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New post 20 May 2018, 08:04
I think this is a high-quality question and I agree with explanation.
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Re: M03-33  [#permalink]

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New post 26 Jun 2018, 08:47
Hi Bunuel,

For a problem like this, when it asks are x,y,z consecutive, does that mean that they have to be consecutive in that order?

For example, I tested x=3,z-1,y=2. It satisfies S1, but they are not consecutive in the order that is listed on the question. So I am not sure if my test case is allowed or not. Wouldn't the question need to use the word "respectively" to convey that the order matters?
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Re: M03-33  [#permalink]

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New post 26 Jun 2018, 09:03
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norovers wrote:
Hi Bunuel,

For a problem like this, when it asks are x,y,z consecutive, does that mean that they have to be consecutive in that order?

For example, I tested x=3,z-1,y=2. It satisfies S1, but they are not consecutive in the order that is listed on the question. So I am not sure if my test case is allowed or not. Wouldn't the question need to use the word "respectively" to convey that the order matters?


It's not necessary x, y, and z to be consecutive in that order. They would be considered consecutive if say z=1, x=2 and y=3.
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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: M03-33 &nbs [#permalink] 26 Jun 2018, 09:03
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