If n is a positive integer, what is the tens digit of n?
1. The hundreds digit of 10n is 6.
2. The 10s digit of n+1 is 7.
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
1
28 x 10 = 1
280
546
29 x 10 = 546
290
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.
So, statement 1 is SUFFICIENT
Statement 2: the tens digit of n+1 is 7
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 can't answer the target question with certainty, statement 2 is NOT SUFFICIENT and the answer is
A
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
