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# What is the value of x/yz, if x, y and z are integers?

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Math Expert
Joined: 02 Aug 2009
Posts: 7764
What is the value of x/yz, if x, y and z are integers?  [#permalink]

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13 Jul 2018, 01:00
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Difficulty:

55% (hard)

Question Stats:

64% (01:31) correct 36% (01:16) wrong based on 73 sessions

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What is the value of $$\frac{x}{yz}$$, if x, y and z are integers?

(1) $$|x|=yz$$
(2) $$x=y$$

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What is the value of x/yz, if x, y and z are integers?  [#permalink]

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13 Jul 2018, 06:41
chetan2u wrote:
What is the value of $$\frac{x}{yz}$$, if x, y and z are integers?

(1) $$|x|=yz$$
(2) $$x=y$$

New question

Question stem: $$\frac{x}{yz}=?$$

St1:- $$|x|=yz$$
We have two cases, x=yz when x>0 and -x=yz when x<0.
So, $$\frac{x}{yz}$$ has values 1 and -1.
Insufficient.

St2:- $$x=y$$
Since there is no restrictions on 'z', hence the expression $$\frac{x}{yz}$$ has many values.
Insufficient.

Combining, we have same cases of z as we have in st1.
Hence, insufficient.

Ans (E)
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Re: What is the value of x/yz, if x, y and z are integers?  [#permalink]

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15 Jul 2018, 22:42
SOLVE USING LOGIC AND NO PAPERWORK

We have to find the value of x/yz . . . . . where x,y and z are integers.
No other info is given let's move to statements.

1. |x| = yz
It tells us that the product of y and z is positive as |x| will always be positive.
For y and z to be positive they must have the same signs.
Great till now, but hey we are not given values of any integers.
INSUFFICIENT.

2. x=y
It tells us that the value and sign of x and y are same.
No info regarding z, clearly INSUFFICIENT.

COMBINE & TEST
Still no info regarding the value of z. Furthermore, we must understand that the values and signs of x and y are no longer needed.
WE NEED VALUE AND SIGN OF z.
INSUFFICIENT.

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Re: What is the value of x/yz, if x, y and z are integers?   [#permalink] 15 Jul 2018, 22:42
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