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

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What is the tens digit of positive integer x ? (1) x divided [#permalink] New post 01 Aug 2007, 16:47
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19. 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.

I think the answer is D. but, the ans given is A. PLs explain.
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 [#permalink] New post 01 Aug 2007, 17:07
Answer is A

To get the remainder 30 when divided by 100, the tensdigit has to be 3.

with 110 you do not know.
The number can be 250, 360....
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Re: DS 14 [#permalink] New post 01 Aug 2007, 19:16
crazy123 wrote:
19. 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.

I think the answer is D. but, the ans given is A. PLs explain.


Nope the ans is not D. St2 is not suff. You can try with few eg: possible numbers div by 113 with remainder 30 are 140, 250, 360 ..... In each case above the ten's digit is different.. Hence St2- is in-suff.
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 [#permalink] New post 02 Aug 2007, 00:56
St1:
x = 100q1+30

Tens digit must be 3. x can be 30,130,230,330...etc

St2:
x = 110q2+30

x can be 30, 140, 250..etc. So we don't know what the tens digit is.

Ans A
  [#permalink] 02 Aug 2007, 00:56
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