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If x > y and y > z, which of the following represents the greatest num

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If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 10 Jan 2016, 07:28
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A
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 11 Jan 2016, 06:26
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Bunuel wrote:
If x > y and y > z, which of the following represents the greatest number?

(A) x − z
(B) x − y
(C) y − x
(D) z − y
(E) z − x


Irespective of the signs, X and Z will be the farthest,
so the numeric value of their difference will be maximum and since x is the larger of two, x-z will be positive..
A
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 11 Jan 2016, 06:49
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(A) x − z
(E) z − x
Absolute value of both the options are same.
(But the sign of x , y and z is not mentioned....Is it really going to make any difference to this question !!! )

Option A.
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 11 Jan 2016, 10:54
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gmatlbs wrote:
(A) x − z
(E) z − x
Absolute value of both the options are same.
(But the sign of x , y and z is not mentioned....Is it really going to make any difference to this question !!! )

Option A.


It is not known whether x, y and z are positive or negative, but it doesn't matter. We know that x is larger than z, so x-z will be positive and z-x will be negative. We don't need to know the values or the signs.

To double check, pick some values (keeping in mind that x > y > z):
x=10, y=4, z=1
Now the answer choices become:
(A) x − z = 9
(B) x − y = 6
(C) y − x = -6
(D) z − y = -3
(E) z − x = -9

Option (A) is the greatest. A for Ali, obviously. :wink:

If you want to be super double extra sure, because you're not convinced that the sign of the numbers doesn't matter, then pick some wild numbers and see if it makes a difference.
x=10, y=0, z=-a bazillion
Now the answer choices become:
(A) x − z = a bazillion + 10
(B) x − y = 10
(C) y − x = -10
(D) z − y = -a bazillion
(E) z − x = -a bazillion - 10

Still (A)
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 11 Jan 2016, 19:40
Because x>y>z
thus x- z wil lbe greatest

Ans: A
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 10 Mar 2016, 11:16
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 10 Mar 2016, 14:12
Substituting numbers for variables will work.

Moreover, I do not think this is a 600-700 level question but rather a sub-600 question.
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 11 Mar 2016, 08:06
saiesta wrote:
Substituting numbers for variables will work.

Moreover, I do not think this is a 600-700 level question but rather a sub-600 question.


Disagree ..!!
whats 600 for you might be 700 for me :)
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 27 May 2016, 04:10
Bunuel wrote:
If x > y and y > z, which of the following represents the greatest number?

(A) x − z
(B) x − y
(C) y − x
(D) z − y
(E) z − x


There are no restrictions on the values of x, y, and z. So we can pick any three numbers that fulfill the inequalities mentioned in the question.
Let us take x = 3, y = 2 and z = 1

(A) x − z = 3 - 1 = 2
(B) x − y = 3 - 2 = 1
(C) y − x = 2 - 3 = -1
(D) z − y = 1 - 2 = -1
(E) z − x = 1 - 3 = -2

Correct answer - A
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 02 Jun 2016, 00:56
So, numbers are in ascending order: z, y, x

So, x - y will be the largest.

As chetan said yesterday, we need to keep in mind that sign will be taken care of. So, no need to worry:).
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 02 Jun 2016, 09:21
Bunuel wrote:
If x > y and y > z, which of the following represents the greatest number?

(A) x − z
(B) x − y
(C) y − x
(D) z − y
(E) z − x


Basically, the question tells us that x>y>z

If the smallest number is subtracted from the largest number, we get the greatest number.

X is the largest number and z is the smallest number; hence, x-z is the greatest number.

A is the answer
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 02 Jun 2016, 11:27
Bunuel wrote:
If x > y and y > z, which of the following represents the greatest number?

(A) x − z
(B) x − y
(C) y − x
(D) z − y
(E) z − x


x > y and y > z = x > y > z

Now, Plug in some values of X, Y and Z

x > y > z => 3 > 2 > 1

(A) x − z = 3 - 1 => 2
(B) x − y = 3 - 2 => 1
(C) y − x = 2 - 3 => -1
(D) z − y = 1 - 2 => -1
(E) z − x = 1 - 3 => -2


So, The answer is definitely (A)

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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 05 May 2017, 01:02
well imo you don't have to care about negatives. Remember its not a ds questions, so it its works with positives its enough to answer the question (at least in my view, but maybe I'm missing something?)

Anyway of course it also works with negative
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Re: If x > y and y > z, which of the following represents the greatest num  [#permalink]

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New post 06 Sep 2018, 08:31
as x is greatest number and z is smallest number
so x-z would be highest number.

Answer A
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Re: If x > y and y > z, which of the following represents the greatest num &nbs [#permalink] 06 Sep 2018, 08:31
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