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

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New post 13 Apr 2007, 21:54
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What is the tens digit of the positive integer r?
1) The tens digit of r/10 = 3
2) The hundreds digit of 10r = 6

OA: B

I just plugged in numbers but it took quite a while. Anyone have a methodical way to solve this?
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New post 14 Apr 2007, 00:22
It seems to me that if the hundreds digit of 10r = 6, then the tenth digit also equals 6. For example, pick any number for r and multiply by 10 then you see that the tens digit becomes the hundreds digit.
56*10 = 560 (5 tens digit = 5 hundreds digit)
34*10 = 340 (3=3)

So, 2 is sufficient, => B.
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New post 14 Apr 2007, 04:46
suppose r= 210 so here the tens number of r is 1 and the the tens number of r/10=210/10=21 is 2. so (1) is not sufficient.

now 10r=2100 . by multiplying r by 10 the tens number of r now becomes the hundereds number of 10r. so (2) is sufficient. so answere is B.

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