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# What is the tens digit of positive integer x ? (1) x divided

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Director
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What is the tens digit of positive integer x ? (1) x divided [#permalink]

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30 Dec 2005, 23:32
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What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30.
(2) x divided by 110 has a remainder of 30.

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VP
Joined: 06 Jun 2004
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31 Dec 2005, 00:03
shahnandan wrote:
What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30.
(2) x divided by 110 has a remainder of 30.

A

(1) x = 100t + 30 ==> X will always be the mutiple of 100 + 30. Tens digit = 3

(2) x = 110t + 30 ==> x = 250...360...etc. Insufficient.
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Director
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31 Dec 2005, 00:08
bang on target, OA is A

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GMAT Club Legend
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09 Jan 2006, 01:24
1)x = 100P + 30 --> x-30 = 100P

So x-30 can be any multiple of 100. So the tens digit will always be 3. Sufficient.

2) x = 110P + 30 --> x-30 = 110P

So x-30 can be any multiple of 110. For:

x-30=110 -> x = 140; tens digit = 4
x-30 = 220 -> x = 250; tens digit = 5

Not sufficient.

Ans A

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09 Jan 2006, 01:24
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