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# If the units digit of the three-digit positive integer k

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Manager
Joined: 28 Jan 2006
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If the units digit of the three-digit positive integer k [#permalink]

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26 Aug 2006, 07:45
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QA26:
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.
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shinewine

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Director
Joined: 28 Dec 2005
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26 Aug 2006, 08:58
A for me...

The one's digit is not 0, that means 1<=U<=9

1: 9 is added to the number. 9+1 will return 10, and 9+9 will return 18. Either ways, 1 will be added to the tens position, which is known. Hence suff.

2: 4 is added to the number. 4+1 will return 5, which does not add anything to the 10s digit. 4+9 will return 13, which will add a 1 to the 10s digit. INSUFF

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Senior Manager
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26 Aug 2006, 11:37
Got A too...

From 1 it is clear that there is a carry over form the units to tens digit and hence the tens digit has to be 2.

SUFF

From 2, tens digit of k+4 is 2, we cannot say if there was a carry over or not.

INSUFF

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Manager
Joined: 20 Mar 2006
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Re: DS : Number sys [#permalink]

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27 Aug 2006, 00:15
shinewine wrote:
QA26:
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.

let the number be abc
c != 0
b=?

(1) #= 121,122,123 etc
Then b=2

(2) #= 117,116,118,119
then b=1
# = 121,122,123,124
then b=2

Hence A

Heman

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Re: DS : Number sys   [#permalink] 27 Aug 2006, 00:15
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