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

Re: If n is a positive integer, what is the tens digit of n ?
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21 Jul 2016, 16:32

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Walkabout 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.

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
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13 Oct 2016, 00:10

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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 ?
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21 Mar 2018, 22:56

mohd_int wrote:

Walkabout 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.

I am thinking that if we had the question as

If n is a positive number, what is the tenth digit of n? (1) The hundredth digit of 10n is 6. (2) The tenth digit of n + 1 is 7

A is no longer sufficient Am I Mistaken?

My answer would be B

What do you think guys!

Hello

Yes if you change the question to find the 'tenth' digit rather than 'tens' digit with the same set of statements as in this question, then the answer should be B, I think.

I suggest you post this question of yours to the DS forum.

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. Can somebody please explain how the ans is A?

Re: If n is a positive integer, what is the tens digit of n ?
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08 Sep 2018, 11:06

sakshi4391 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. Can somebody please explain how the ans is A?

whenever we multiply any number with 10, the digits of the number shift their places by 1.

eg n=632. 10n=6320 In case of n, Units Digit: 2 Tens Digit: 3 Hundred's Digit: 6

In case of 10n In case of n, Units Digit: 0 Tens Digit: 2 Hundred's Digit: 3

Now coming back to question We need to calculate the tens digit of n. this will be the same as hundred's digit in 10n. so using statement 1 we can calculate the answer. Hence Sufficient.

Statement 2 is insufficient because we do not know the units digit. If the units digit is 9. then in n+1, 1 will be carried over to the tens place and hence increase the value by 1 unit. in this case the answer would be 6. If the units digit is less than 9, then n+1 wil lhave the same tens digit as n. in this case our ans will be 7 Two different answers. Hence insufficient.

If n is a positive integer, what is the tens digit of n ?
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11 Jun 2019, 01:00

St 1 The hundreds digit of 10n is 6

Note: when we multiply any number by 10 ,value of each digit increase . Eg: 10*60=600 or 72*10=720, 7 was in tens place and 2 in units place in original number before we multiplied to 10. After we multiplied with ten, 7 is now in hundreds place and 2 in tens place.

Same way if 10n has 6 in hundreds place, n should have 6 in tens place only than on multiplying by 10 it will have 6 in hundreds place.

Hence St 1 is Sufficient.

St 2 Tens digit of n+1 is 7

Here lets check cases if n=69 , n+1 =70 if n=71 , n+1=72

In both the cases above tens digit of n is different satisfying statement two. As we cannot arrive to our goal of finding tens value of n, Statement 2 is INSUFFICIENT

Answer is A

Don't forget our goal is to find tens digit of n (and not of n+1)

Re: If n is a positive integer, what is the tens digit of n ?
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25 Jun 2019, 15:32

I think we have a problem with the question language for statement (2). It could be perceived in two different ways:

(1) "The tens digit of n" + 1 is 7, or (2) The tens digit of "n + 1" is 7.

Therefore, perception becomes reality to the reader until we use parentheses properly, or at least some kind of technique to unquestionably clarify the idea being communicated. I think this is even more pertinent given that communication is an essential element in business administration.

gmatclubot

Re: If n is a positive integer, what is the tens digit of n ?
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25 Jun 2019, 15:32