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If x, y, and z are integers, are x and y both less than z?

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If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 29 Apr 2016, 02:37
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Kudos [?]: 133196 [0], given: 12439

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Re: If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 29 Apr 2016, 20:47
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St1: |x| > z --> Not Sufficient as we do not have information about y

St2: z > y --> Not sufficient as we do not have information about x

Combining St1 and St2: |x| > z > y
Let x = 3, z = 2, y = 1 --> Are x and y both less than z? No
Let x = -3, z = 2, y = 1 --> Are x and y both less than z? Yes
The main culprit here is that x can be either positive or negative
Not Sufficient

Answer: E

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Re: If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 05 May 2016, 09:43
Vyshak wrote:
St1: |x| > z --> Not Sufficient as we do not have information about y

St2: z > y --> Not sufficient as we do not have information about x

Combining St1 and St2: |x| > z > y
Let x = 3, z = 2, y = 1 --> Are x and y both less than z? No
Let x = -3, z = 2, y = 1 --> Are x and y both less than z? Yes
The main culprit here is that x can be either positive or negative
Not Sufficient

Answer: E


Why is B not the answer?
question is is x<z and y<z

B says that y>z
which means that the answer of the question is No. why do we care about x?
suppose x>z or x<z...our conclusion still holds the same.

Please acknowledge

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If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 05 May 2016, 10:24
RatneshS wrote:
Vyshak wrote:
St1: |x| > z --> Not Sufficient as we do not have information about y

St2: z > y --> Not sufficient as we do not have information about x

Combining St1 and St2: |x| > z > y
Let x = 3, z = 2, y = 1 --> Are x and y both less than z? No
Let x = -3, z = 2, y = 1 --> Are x and y both less than z? Yes
The main culprit here is that x can be either positive or negative
Not Sufficient

Answer: E


Why is B not the answer?
question is is x<z and y<z

B says that y>z
which means that the answer of the question is No. why do we care about x?
suppose x>z or x<z...our conclusion still holds the same.

Please acknowledge


Hi,

St2 states that z > y. You have not interpreted the statement correctly. We need additional information about 'x' for St2 to be sufficient.

Kudos [?]: 1187 [0], given: 890

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If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 05 May 2016, 11:02
Vyshak wrote:
RatneshS wrote:
Vyshak wrote:
St1: |x| > z --> Not Sufficient as we do not have information about y

St2: z > y --> Not sufficient as we do not have information about x

Combining St1 and St2: |x| > z > y
Let x = 3, z = 2, y = 1 --> Are x and y both less than z? No
Let x = -3, z = 2, y = 1 --> Are x and y both less than z? Yes
The main culprit here is that x can be either positive or negative
Not Sufficient

Answer: E


Why is B not the answer?
question is is x<z and y<z

B says that y>z
which means that the answer of the question is No. why do we care about x?
suppose x>z or x<z...our conclusion still holds the same.

Please acknowledge


Hi,

St2 states that z > y. You have not interpreted the statement correctly. We need additional information about 'x' for St2 to be sufficient.


But it doesn't matter. Even if x<z, Statement 2 is sufficient to say both x and y are NOT less than z.

I would go with B as well.

Kudos [?]: 24 [0], given: 71

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Re: If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 05 May 2016, 11:11
unverifiedvoracity wrote:

But it doesn't matter. Even if x<z, Statement 2 is sufficient to say both x and y are NOT less than z.

I would go with B as well.


Question asks whether both x and y are less than z i.e. whether x < z and y < z?

Lets look at St2: z > y --> Its as good as saying y < z
Now we know that y < z but is x < z? We don't know that.

If y < z and x < z then yes both x and y are < z
If y < z and x > z then no both x and y are not < z
Hence St2 is insufficient.

Kudos [?]: 1187 [0], given: 890

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Re: If x, y, and z are integers, are x and y both less than z? [#permalink]

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New post 05 May 2016, 11:16
Vyshak wrote:
unverifiedvoracity wrote:

But it doesn't matter. Even if x<z, Statement 2 is sufficient to say both x and y are NOT less than z.

I would go with B as well.


Question asks whether both x and y are less than z i.e. whether x < z and y < z?

Lets look at St2: z > y --> Its as good as saying y < z
Now we know that y < z but is x < z? We don't know that.

If y < z and x < z then yes both x and y are < z
If y < z and x > z then no both x and y are not < z
Hence St2 is insufficient.


my bad. I misread statement 2, I thought it was y > z. Thanks for clarifying.

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Re: If x, y, and z are integers, are x and y both less than z? [#permalink]

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Re: If x, y, and z are integers, are x and y both less than z?   [#permalink] 26 Oct 2017, 14:18
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