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If n is a positive integer, what is the tens digit of n? 1)

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If n is a positive integer, what is the tens digit of n? 1) [#permalink] New post 16 Sep 2009, 17:49
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If n is a positive integer, what is the tens digit of n?

1) The hundreds digit of 10n is 6
2) The tens digit of n+1 is 7

Why is the answer A?

If the number n is a two digit number (any number from 60 to 69) then yes the answer is A as the tens digit of n will be 6.

But what if n is 160? Then 10n is 1600. The hundreds digit is 6 but the tens digit is 0.

What am I missing here?
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Re: DS -- OG 12 #167 [#permalink] New post 16 Sep 2009, 18:05
10n can not be 1600 (the hundreds digit here is 0 instead of required 6) and n can not be 160 (for the same reason)...

it is given that the hundreds digit of 10n is 6, therefore the tens digit of n is 6...
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Re: DS -- OG 12 #167 [#permalink] New post 16 Sep 2009, 18:16
LenaA wrote:
10n can not be 1600 (the hundreds digit here is 0 instead of required 6) and n can not be 160 (for the same reason)...

it is given that the hundreds digit of 10n is 6, therefore the tens digit of n is 6...



Sorry, I don't understand. The hundreds digit of 1600 (10 times 160) is six -- the thousands digit is 1, the tens digit is 0 and the ones digit is zero. Only after the decimal we have tens, hundrerd, thousands, etc; before the decimal we have ones, tens, hundreds, thousands, etc.

10n means 10 times n. Where does the question say that n is a two digit number?

Really confused :roll:
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Re: DS -- OG 12 #167 [#permalink] New post 16 Sep 2009, 18:37
sorry
ignore the first part of my post...i got confused

n can be 160 (the tens digit is 6) and 10n can be 1600 (hundreds digit is 6).

if the hundreds digit is 6 in 10n than the tens digit in n is 6 as well
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Re: DS -- OG 12 #167 [#permalink] New post 16 Sep 2009, 19:12
Good question...
1) n can be 60,61....69 OR 160,161,...169. For each case tens digit is always 6. suff
2) n can be 69,70...78. not suff
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Re: DS -- OG 12 #167 [#permalink] New post 16 Sep 2009, 22:19
1) The hundreds digit of 10n is 6.Suff.(N = 60-69)
2) The tens digit of n+1 is 7.Nt suff

I wud go with option A
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Re: DS -- OG 12 #167 [#permalink] New post 17 Sep 2009, 00:30
Yes I go for A too.

Let's say n= abcd (a four didit number here, but it can be what ever we want).

1) 10n = abcd0 and we are told that the hindreds digit of this number is 6; meaning that c is 6. but c is aloso the tens digit of the original number. so 1) is suff.

2) tens difgits of n+1 is 7. not suff.
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Re: DS -- OG 12 #167 [#permalink] New post 17 Sep 2009, 00:56
Thanks all.

I now know where I was, unnecessarily, getting confused.
Re: DS -- OG 12 #167   [#permalink] 17 Sep 2009, 00:56
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