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

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If n is a positive integer, what is the tens digit of n ? [#permalink]

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25 Feb 2011, 05:12
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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-n-is-a-positive-integer-what-is-the-tens-digit-of-n-144725.html
[Reveal] Spoiler: OA

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25 Feb 2011, 05:29
If n is a positive integer, what is the tens digit of n ?

(1) The hundreds digit of 10n is 6.
Multiplication by 10 will shift all digits one to the left. Ten's digit of n must be 6.

e.g.
n=4324324242468<- 6 in tens place
10n=43243242424680<-hundred's digit in 6 because 0 occupied the units place and rest all of digits moved 1 to the left.

n=69<-6 in tens place
10n=690<-6 in hundreds place

Sufficient.

(2) The tens digit of n + 1 is 7.
n=69
n+1=70<-tens digit of n+1 is 7 when tens place of n=6

n=73
n+1=74<-tens digit of n+1 is 7 when tens place of n=7

Not Sufficient.

Ans: "A"
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25 Feb 2011, 06:32
It is easy to see that the information provided is enough to solve the problem. I think the main trick is that some may think A is not enough. Dividing any 6xx number by 10 wil yield 6 as a tens digit, so this is sufficient to solve the question.

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16 Aug 2013, 03:29
miguelmick wrote:
It is easy to see that the information provided is enough to solve the problem. I think the main trick is that some may think A is not enough. Dividing any 6xx number by 10 wil yield 6 as a tens digit, so this is sufficient to solve the question.

I'd rather say that the prompt sounds a little tricky.

tens digit of n + 1 (as in a tens digit format)
-> ex. n= 6(X) + 10 (+1 ten digit format)
No matter which unit digit it is, the tens digit of n must always be 6.. anyways OGs intended meaning is clear now

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Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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16 Aug 2013, 04:57
If n is a positive integer, what is the tens digit of n ?

(1) The hundreds digit of 10n is 6. This implies that the tens digit of n is 6. Sufficient.

(2) The tens digit of n + 1 is 7. If n=70, then the tens digit of n is 7, but if n=69, then the tens digit of n is 6. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-n-is-a-positive-integer-what-is-the-tens-digit-of-n-144725.html
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Kudos [?]: 133076 [0], given: 12403

Re: If n is a positive integer, what is the tens digit of n ?   [#permalink] 16 Aug 2013, 04:57
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