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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]  30 Dec 2005, 22:32
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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.
VP
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Re: DS- remainders [#permalink]  30 Dec 2005, 23:03
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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bang on target, OA is A
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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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