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What is the tens digit of the positive integer r ? 1) The

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What is the tens digit of the positive integer r ? 1) The [#permalink] New post 06 Jan 2008, 16:43
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What is the tens digit of the positive integer “r”?

1) The tens digit of (r/10) is 3
2) The hundreds digit of (10r) is 6
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Re: DS - Number Prop's [#permalink] New post 06 Jan 2008, 19:02
bsjames2 wrote:
What is the tens digit of the positive integer “r”?

1) The tens digit of (r/10) is 3
2) The hundreds digit of (10r) is 6


B

1-- gives the hundreds digit.

2--- gives tenth digit.
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Re: DS - Number Prop's [#permalink] New post 06 Jan 2008, 19:26
bsjames2 wrote:
What is the tens digit of the positive integer “r”?

1) The tens digit of (r/10) is 3
2) The hundreds digit of (10r) is 6


1: could be 300 or 330 Insuff.

2: 10* any integer just adds another 0. So essentially we know the tens digit is 6.

B
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Re: DS - Number Prop's [#permalink] New post 06 Jan 2008, 19:28
bsjames2 wrote:
What is the tens digit of the positive integer “r”?

1) The tens digit of (r/10) is 3
2) The hundreds digit of (10r) is 6


r = abc
b=?

1. r/10 =ab.c, and the tens digit of r/10 is a =3, says nothing about b --->insufficient
2. 10r=abc0, and the hundreds digit of 10r is b =6, --> sufficient

B it is
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Re: DS - Number Prop's [#permalink] New post 07 Jan 2008, 05:29
I totally missed the role of the "10" in the question. so if it is r/10, and the tens digit is 3, then we know that the 3 just shifted one place to the right, so that's why we will know it's the hundred digit.

...and the same with 10r, the digits are shifted to the left.

Much easier than I realized..... Thanks everyone!
Re: DS - Number Prop's   [#permalink] 07 Jan 2008, 05:29
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