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# What is the hundreds digit of the integer Z?

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Re: What is the hundreds digit of the integer Z? [#permalink]
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Skywalker18 wrote:
What is the hundreds digit of the integer Z?

1. 10z > 25,670

2. z rounded to the nearest hundred is 2,600

1. 10z > 25,670
z>2567

hundreds digit can be > or = 5. Not sufficient

2. z rounded to the nearest hundred is 2,600.

Hundreds digit can be 5 or 6

Combining both statements, we do not get a unique value.

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Re: What is the hundreds digit of the integer Z? [#permalink]
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Skywalker18 wrote:
What is the hundreds digit of the integer Z?

1. 10z > 25,670

2. z rounded to the nearest hundred is 2,600

1) 10z > 25,670
=> z > 2,567
Hundred's digit could be 5,6,7,....
Insufficient.

2) z rounded to the nearest 100 is 2600
z = 2,599 => rounded up is 2600
z = 2,601 => rounded down is 2600
Insufficient.

1+2)
Hundred's digit could be 5 or 6.
Insufficient.
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Re: What is the hundreds digit of the integer Z? [#permalink]
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Skywalker18 wrote:
What is the hundreds digit of the integer Z?

1. 10z > 25,670

2. z rounded to the nearest hundred is 2,600

We need to determine the hundreds digit of integer z.

Statement One Alone:

10z > 25,670

Simplifying the inequality, we have z > 2567. Since z could be 2568, with a hundreds digit of 5, or 2700, with a hundreds digit of 7, statement one alone is not sufficient to answer the question.

Statement Two Alone:

z rounded to the nearest hundred is 2,600.

Since z could equal 2610, with a hundreds digit of 6, or 2598, with a hundreds digit of 5, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using statements one and two, we still cannot answer the question, since z could equal 2610, with a hundreds digit of 6, or 2598, with a hundreds digit of 5.

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Re: What is the hundreds digit of the integer Z? [#permalink]
Dear Bunuel ,

Please tag this question --- GMATPREP EP6

Best !!
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Re: What is the hundreds digit of the integer Z? [#permalink]
ShankSouljaBoi wrote:
Dear Bunuel ,

Please tag this question --- GMATPREP EP6

Best !!

________________
Done. Thank you!
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Re: What is the hundreds digit of the integer Z? [#permalink]
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Re: What is the hundreds digit of the integer Z? [#permalink]
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