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M11-33

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M11-33 [#permalink]

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A
B
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  45% (medium)

Question Stats:

61% (00:52) correct 39% (01:03) wrong based on 133 sessions

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Official Solution:


The question asks: is \(\frac{x}{100}*y \gt \frac{y}{100}*z\)? Since \(y\) is a positive integer we can safely reduce by \(\frac{y}{100}\) and the question becomes: is \(x \gt z\)? Notice that the answer to the question does not depend on the value of \(y\).

(1) \(x=z\). Answer to the question is NO. Sufficient.

(2) \(z-y=y-x\). Rearrange: \(x+z=2y\). Clearly insufficient to say whether \(x \gt z\).


Answer: A
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Re: M11-33 [#permalink]

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New post 21 May 2015, 16:00
Hi Bunel,

I might have gone bonkers over here. :shock:

Can you explain why B is not correct? As all the numbers are positive, z-y = y -x will certainly give z>x.

Thanks
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Re: M11-33 [#permalink]

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New post 23 May 2015, 06:08
Quote:
z - y = y - x is the same as x + z = 2y. How does this imply that z > x?


Thanks for your response!!

I could be missing something fundamental, but when I see "z" as any positive number(e.g.8) and subtract "y" any other positive number (e.g. 6) --> "8-6 = 2"

Now, in order to obtain 2 on the RHS(y-x), I have y, which is "6" (as assumed previously) - (x) some positive number (6-x). Now that number,x, is "4" in this case, and therefore less than 8, which is z.

I know when you simplify the equation to x+z=2y , it doesn't result into anything concrete, but if we keep the equation in as-is form, it implies z>x.

As I mentioned earlier, I could be missing something fundamental, therefore apologies in advance if my question is too pedantic. :)
Thanks a lot!
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Re: M11-33 [#permalink]

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Ronin30 wrote:
Quote:
z - y = y - x is the same as x + z = 2y. How does this imply that z > x?


Thanks for your response!!

I could be missing something fundamental, but when I see "z" as any positive number(e.g.8) and subtract "y" any other positive number (e.g. 6) --> "8-6 = 2"

Now, in order to obtain 2 on the RHS(y-x), I have y, which is "6" (as assumed previously) - (x) some positive number (6-x). Now that number,x, is "4" in this case, and therefore less than 8, which is z.

I know when you simplify the equation to x+z=2y , it doesn't result into anything concrete, but if we keep the equation in as-is form, it implies z>x.

As I mentioned earlier, I could be missing something fundamental, therefore apologies in advance if my question is too pedantic. :)
Thanks a lot!
D


hi,
you are wrongly assuming that z>y...
what if z = 6 and y=8... z-y=6-8=-2..
therefore y-x==-2.... 8-x=-2..
so x=10.. which is greater than z...
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: M11-33 [#permalink]

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New post 23 May 2015, 13:38
Makes complete sense.. As i thought, fundamental is amiss... :)

Thanks a lot!!
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Re: M11-33 [#permalink]

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For this question best is to use some smart numbers i think

for statement 1
let x= 5 y = 100
z= x = 5 --> since given

so lets check : is 5% of 100 > 100% of 5 - - no they are equal. - this will hold true for any positive number for x and y and z

so sufficient

Statement 2:
first simplify - the given z-x=y-x becomes x+z =2y
Again smart numbers - choose numbers that satisfy the above condition
Let y =5. -- so x and z should be 2 numbers that add up to 2y here it is 10

so for example x can be 7 and z can be 3

lets check. is 7% of 5 > 5% of 3? --> yes.. greater percent of a bigger number > smaller percent of a smaller number

So lets see if we can get an opposite ans
what if x = 3 and z = 7 ( they still add up to 10 which is 2y)
now is 3%of 5 > 5% of 7? ---No it is not...

So this statement is not suff




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Re: M11-33 [#permalink]

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How is this question any different from M24-21 ? I had noticed this earlier as well - a lot of questions are just simple repeats.

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Re: M11-33 [#permalink]

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New post 16 Feb 2016, 00:34
FacelessMan wrote:
How is this question any different from M24-21 ? I had noticed this earlier as well - a lot of questions are just simple repeats.


Thank you for the feedback. We removed M24-21 from the tests. Can you please tell me which other questions are also duplicates?
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Re: M11-33 [#permalink]

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New post 16 Feb 2016, 10:57
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Bunuel,

I can give you a couple of examples. M14-28 and M22-20. They are very almost identical. Also, D01-45 has a twin brother somewhere. I had already solved that earlier, and saw it again yesterday in one of my Quizzes.

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New post 16 Feb 2016, 10:58
FacelessMan wrote:
Bunuel,

I can give you a couple of examples. M14-28 and M22-20. They are very almost identical. Also, D01-45 has a twin brother somewhere. I had already solved that earlier, and saw it again yesterday in one of my Quizzes.


Thank you.
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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

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Re: M11-33 [#permalink]

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New post 16 Jul 2016, 00:14
Bunuel, Please help.

second statemnt y-x=z-y

From this doesnt it form that no.s x, y and z are in Aritmetic progression.
Thus, x%of y is always coming less from y%of x.

I am unable to think of any combination where it is going to fail.

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Re: M11-33 [#permalink]

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New post 28 Oct 2017, 05:27
S1 - Given x = z. Lets assume x=10 y =100 and z =10
this will given me x% of y = y% of z.
Can you please explain where i am going wrong here?

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Re: M11-33   [#permalink] 28 Oct 2017, 05:27
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