if K is a positive 3-digit integer, what is the hundreds : DS Archive
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# if K is a positive 3-digit integer, what is the hundreds

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if K is a positive 3-digit integer, what is the hundreds [#permalink]

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08 Oct 2007, 16:53
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if K is a positive 3-digit integer, what is the hundreds digit of K?

st1-the hundreds digit of K+150 is 4.
st2-the tens digit of K+25 is 7.
Director
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Re: DS addition of variables [#permalink]

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08 Oct 2007, 18:37
Juaz wrote:
young_gun wrote:
if K is a positive 3-digit integer, what is the hundreds digit of K?

st1-the hundreds digit of K+150 is 4.
st2-the tens digit of K+25 is 7.

C..

(1) K is between 250 and 349
(2) K is x7x
From (1) and (2) K is 27x

SUFF

How did you determine the red part .

I actually get E .
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Re: DS addition of variables [#permalink]

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08 Oct 2007, 18:41
Juaz wrote:
young_gun wrote:
if K is a positive 3-digit integer, what is the hundreds digit of K?

st1-the hundreds digit of K+150 is 4.
st2-the tens digit of K+25 is 7.

C..

(1) K is between 250 and 349
(2) K is x7x
From (1) and (2) K is 27x

SUFF

We know that K+25 is x7y from statement 2. If we put the two statements together, K could be 250 (so K + 25 is 275), but K could also be 345 (so K + 25 is 370). The answer's E.
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Re: DS addition of variables [#permalink]

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08 Oct 2007, 19:19
ashkrs wrote:
Juaz wrote:
young_gun wrote:
if K is a positive 3-digit integer, what is the hundreds digit of K?

st1-the hundreds digit of K+150 is 4.
st2-the tens digit of K+25 is 7.

C..

(1) K is between 250 and 349
(2) K is x7x
From (1) and (2) K is 27x

SUFF

How did you determine the red part .

I actually get E .

K+150 is between 400 and 499 so K is between 250 & 349.

I got C as I mistook K+25 as K (2).

Ans should be E.
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[#permalink]

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09 Oct 2007, 09:53
Ans E: not enough equations for the # of unknowns, check it:

K = 100p + 10q + r

1. 100p + 10q + r + 150 = 100(4) + 10y + z

Not suff to find p.

2. 100p + 10q + r + 25 = 100x + 10(7) + z

Not suff to find p.

Together:

Need to find p, q, r, z with 2 equations. Not suff.
[#permalink] 09 Oct 2007, 09:53
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# if K is a positive 3-digit integer, what is the hundreds

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