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

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14 Jan 2013, 00:45

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fozzzy wrote:

How do you solve this one?

(1) The hundreds digit of 10n is 6 SUFFICIENT: If Hundred's place of 10n = 6 then Ten's place of n must be 6 e.g. n=68 tens place 6, 10n=680, hundreds place is 6

(2) The tens digit of n+1 is 7 INSUFFICIENT: If n=69; n+1=70 OR If n=77; n+1=77; i.e. n can have both 6 or 7 as tens place.

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.

Target question:What is the tens digit of n?

Statement 1: The hundreds digit of 10n is 6 Notice what happens when we multiply any positive integer by 10: 34 x 10 = 340 60 x 10 = 600 128 x 10 = 1280 54629 x 10 = 546290 The tens digit in the original number becomes the hundreds digit in the new number.

So, if we're told that the hundreds digit of 10n is 6, then we know that the tens digit in n must be 6 Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The tens digit of n+1 is 7 There are several values of n that meet this condition. Here are two: case a: n=69 in which case the tens digit of n is 6 case b: n=74 in which case the tens digit of n is 7 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

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

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13 Oct 2016, 00:10

Akuthiala wrote:

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

Answer will be A.

Statement 1 : Hundreds digit of 10N = Tens digit of N = 6. Hence, sufficient.

Statement 2: Tends digit of N+1 = 7.

Now in this case it may happen that Units digit was 9 and when 1 was added, we got Tends digit as 7. In that case answer will be 6. BUT if Units is less than 9, answer would be 7. Hence, Insufficient.
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Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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22 Oct 2017, 17:28

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