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If z is a three-digit positive integer, what is the value of

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If z is a three-digit positive integer, what is the value of [#permalink]

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If z is a three-digit positive integer, what is the value of the tens digit of z ?

(1) The tens digit of z - 91 is 3
(2) The units digit of z + 9 is 5
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 May 2013, 04:43, edited 2 times in total.
Edited the question, added the OA and moved to DS forum.

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Re: tens digit [#permalink]

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New post 09 Sep 2008, 00:07
IMO C.

1) the tens digit can be 2, when the units digit is greater than 0; or 3, when the units digit is zero. Not sufficient.
2) the units digit is 6. Not sufficient by itself, but in combination with A we have that the tens digit is 2.
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Re: tens digit [#permalink]

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New post 09 Sep 2008, 00:11
(I) Insufficient.
2 scenarios possible:
a. Units Digit = 0, Tens Digit= 3
b. Units Digit > 0, Tens Digit = 2

(II) Insufficient.
Units Digit= 6

(I) and (II) Sufficient.

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Re: is z a three-digit positive integer. What is the value of [#permalink]

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New post 31 May 2013, 04:04
Hi,

I am unable to understand this problem. Please someone help me in this Problem

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Re: is z a three-digit positive integer. What is the value of [#permalink]

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New post 31 May 2013, 05:04
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rrsnathan wrote:
Hi,

I am unable to understand this problem. Please someone help me in this Problem


If z is a three-digit positive integer, what is the value of the tens digit of z ?

(1) The tens digit of z - 91 is 3 --> if z-91=130, then z=221 but if z-91=139, then z=230. Two different answers, hence this statement is not sufficient.

(2) The units digit of z + 9 is 5 --> if z+9=115, then z=106 but if z+9=125, then z=116. Two different answers, hence this statement is not sufficient.

Notice that this statement implies that the units digit of z must be 6 (in order the units digit of z+9 to be 5).

(1)+(2) From (2) we know that the units digit of z is 6. Now, (1) says that the tens digit of z-91=ab6-91 is 3 --> z=ab6=x3z+91, therefore b (the tens digit of z) must be 2. Sufficient.

Answer: C.

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Re: If z is a three-digit positive integer, what is the value of [#permalink]

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