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What is the hundreds digit of the integer Z?

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What is the hundreds digit of the integer Z?  [#permalink]

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New post 20 Jun 2016, 11:14
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E

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  25% (medium)

Question Stats:

75% (01:11) correct 25% (01:10) wrong based on 301 sessions

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What is the hundreds digit of the integer Z?

1. 10z > 25,670

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

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What is the hundreds digit of the integer Z?  [#permalink]

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New post 21 Jun 2016, 06:56
5
2
E

1)z>2567..so there a re infinite values.Not Suff
2)rounder off to 2600
so z can range from 2550 to 2649(this is the main crux).Not suff

1+2 same case as 2 leaving some numbers i.e 2568 to 2649

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

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New post 20 Jun 2016, 15:47
2
1
1. Z > 2567
Hundreds digit of Z can be 5, 6, 7 and so on...
NOT SUFFICIENCY

2. Hundreds digit of Z can be 5 or 6
NOT SUFFICIENCY

1 and 2. Hundreds digit of Z can be still 5 or 6

Answer E!

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

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New post 21 Jun 2016, 11:00
2
1
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.

E is the answer
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Re: What is the hundreds digit of the integer Z?  [#permalink]

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New post 21 Jul 2017, 04:40
2
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.
Answer is E.
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Re: What is the hundreds digit of the integer Z?  [#permalink]

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New post 30 Jul 2017, 17:41
1
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.

Answer: E
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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] 14 Aug 2019, 11:08
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