What is the hundreds digit of the integer Z?

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

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!

Posted from my mobile device

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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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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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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Dear Bunuel ,

Please tag this question --- GMATPREP EP6


Best !!
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Done. Thank you!
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