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Fijisurf
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Integers X, Y and Z are greater than zero. Is X percent of Y 01 Nov 2010, 15:55
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Difficulty:

45% (medium)

Question Stats:

64% (01:21) correct 36% (01:36) wrong based on 307 sessions

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Integers X, Y and Z are greater than zero. Is X percent of Y more than Y percent of Z?

(1) Z-Y=Y-Z
(2) X=Z
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B
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Integers X, Y and Z are greater than zero. Is X percent of Y 01 Nov 2010, 16:27
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Fijisurf
Integers X, Y and Z are greater than zero.
Is X percent of Y more than Y percent of Z?

(1) Z-Y=Y-Z
(2) X=Z



How do I approach this?
Thanks.
Show more


Is X percent of Y more than Y percent of Z? (X/100)Y > (Y/100)Z OR XY>YZ
Given X,Y,Z>0
This just implies X>Z .. which si the question we need to answer

(1) : Z-Y=Y-Z ... says nothing about X, Insufficient

(2) X=Z ... means X is not greater than Z, means answer is "no" ... Sufficient

Answer is (B)
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Integers X, Y and Z are greater than zero. Is X percent of Y 01 Nov 2010, 16:36
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shrouded1
Fijisurf
Integers X, Y and Z are greater than zero.
Is X percent of Y more than Y percent of Z?

(1) Z-Y=Y-Z
(2) X=Z



How do I approach this?
Thanks.


Is X percent of Y more than Y percent of Z? (X/100)Y > (Y/100)Z OR XY>YZ
Given X,Y,Z>0
This just implies X>Z .. which si the question we need to answer

(1) : Z-Y=Y-Z ... says nothing about X, Insufficient

(2) X=Z ... means X is not greater than Z, means answer is "no" ... Sufficient

Answer is (B)
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Brilliant. Thanks a lot!
You are right: it really boils down to XY>YZ....
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Integers X, Y and Z are greater than zero. Is X percent of Y 01 Nov 2010, 16:44
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Now I started thinking about it:

Is this a general rule that: X percent of Y is always equals to Y percent of X (for two completely random unrelated numbers)?

Because:
(X/100)*Y=(Y/100)*X

Did I get it right?
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Integers X, Y and Z are greater than zero. Is X percent of Y 01 Nov 2010, 16:45
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Yes, that is correct
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KarishmaB
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Integers X, Y and Z are greater than zero. Is X percent of Y 02 Nov 2010, 19:06
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Fijisurf
Integers X, Y and Z are greater than zero.
Is X percent of Y more than Y percent of Z?

(1) Z-Y=Y-Z
(2) X=Z


How do I approach this?
Thanks.
Show more

Come to think of it,
Statement (1) just says Z - Y = Y - Z which gives 2Z = 2Y or Z = Y. So your question becomes: Is X% of Y > Y% of Y? No information about X so not sufficient.
Statement (2) says X = Z. so your question is: Is X% of Y > Y% of X. As you have already discussed it with shrouded1 above, this is sufficient.
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Integers X, Y and Z are greater than zero. Is X percent of Y 02 Nov 2010, 20:19
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VeritasPrepKarishma
Fijisurf
Integers X, Y and Z are greater than zero.
Is X percent of Y more than Y percent of Z?

(1) Z-Y=Y-Z
(2) X=Z


How do I approach this?
Thanks.

Come to think of it,
Statement (1) just says Z - Y = Y - Z which gives 2Z = 2Y or Z = Y. So your question becomes: Is X% of Y > Y% of Y? No information about X so not sufficient.
Statement (2) says X = Z. so your question is: Is X% of Y > Y% of X. As you have already discussed it with shrouded1 above, this is sufficient.
Show more

It makes perfect sense now.
I think this was the hardest percent Q I have ever seen so far.
Do you guys know any other tough questions testing percent knowledge here on the forum?
Thanks
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Integers X, Y and Z are greater than zero. Is X percent of Y 02 Nov 2010, 20:25
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Fijisurf
VeritasPrepKarishma
Fijisurf
Integers X, Y and Z are greater than zero.
Is X percent of Y more than Y percent of Z?

(1) Z-Y=Y-Z
(2) X=Z


How do I approach this?
Thanks.

Come to think of it,
Statement (1) just says Z - Y = Y - Z which gives 2Z = 2Y or Z = Y. So your question becomes: Is X% of Y > Y% of Y? No information about X so not sufficient.
Statement (2) says X = Z. so your question is: Is X% of Y > Y% of X. As you have already discussed it with shrouded1 above, this is sufficient.

It makes perfect sense now.
I think this was the hardest percent Q I have ever seen so far.
Do you guys know any other tough questions testing percent knowledge here on the forum?
Thanks
Show more

Tags list by forum: viewforumtags.php

DS questions on percents: search.php?search_id=tag&tag_id=192
PS questions on percents: search.php?search_id=tag&tag_id=191

Theory: math-number-theory-percents-91708.html

Hope it helps.
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Integers X, Y and Z are greater than zero. Is X percent of Y 31 May 2016, 11:22
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(X% of Y ) > (Y% of Z)
XY>YZ
X>Z

So ,actually we need relation between X and Z . Only option B has both X and Z . So option B is the answer
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Integers X, Y and Z are greater than zero. Is X percent of Y 14 Nov 2025, 07:13
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