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If n is a fourdigit positive integer, then what is the tens
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15 Jun 2013, 08:02
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If n is a fourdigit positive odd integer, then what is the tens digit of n? 1) the tens digit of n9 is 0 2) the tens digit of n+9 is 2
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Re: If n is a fourdigit positive integer, then what is the tens
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15 Jun 2013, 08:11
If n is a fourdigit positive odd integer, then what is the tens digit of n?1) the tens digit of n9 is 0N is in the range XX09 to XX18, but since it's odd the possible values are XX09,XX11,... till XX17 Not sufficient 2) the tens digit of n+9 is 2N is in the range XX11 to XX20, but we are told that N is odd so the range is reduced: from XX11 to XX19. The tens digit is always 1, sufficient
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Re: If n is a fourdigit positive integer, then what is the tens
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15 Jun 2013, 08:19
Zarrolou wrote: If n is a fourdigit positive odd integer, then what is the tens digit of n?
1) the tens digit of n9 is 0 N is in the range XX09 to XX18, but since it's odd the possible values are XX09,XX11,... till XX17 Not sufficient
2) the tens digit of n+9 is 2 N is in the range XX11 to XX20, but we are told that N is odd so the range is reduced: from XX11 to XX19. The tens digit is always 1, sufficient its given that the number is odd so the last digit can be 1,3,5,7 or 9 so there are few cases where we don't have to test the value but great explanation!



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Re: If n is a fourdigit positive integer, then what is the tens
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15 Jun 2013, 08:24
fozzzy wrote: If n is a fourdigit positive odd integer, then what is the tens digit of n?
1) the tens digit of n9 is 0 2) the tens digit of n+9 is 2 From F.S 1 , for n = XX17,the tens digit of n9 is 0,the tens digit of n is 1; for XX09,the tens digit of n9 is 0, the tens digit of n is 0. Insufficient. From F. S 2, we know that the units digit of n will atleast be 1(as n is odd). Thus, XXX1+9,gives tens digit of 2. Thus, the tens digit of n has to be 1.Sufficient. B.
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Re: If n is a fourdigit positive integer, then what is the tens
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15 Jun 2013, 08:55



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Re: If n is a fourdigit positive integer, then what is the tens
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15 Jun 2013, 13:08
I completely missed that N was an odd integer... well played GMAT, well played.



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Re: If n is a fourdigit positive integer, then what is the tens
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09 Aug 2017, 09:49
Can someone please explain me the answer ?how is the range calculated? Thanks Namrata



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Re: If n is a fourdigit positive integer, then what is the tens
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09 Aug 2017, 10:42
namrata88 wrote: Can someone please explain me the answer ?how is the range calculated? Thanks Namrata Quote: If n is a fourdigit positive odd integer, then what is the tens digit of n?
We are given that N is a Four Digit Integer. N = ABCD where A,B,C,D are representing the digits of the FOUR digit ODD number N. We need the find a unique value for C = ? Quote: 1) the tens digit of n9 is 0
N = 1111 N  9 = 1102 C = 1 But N = 1109 N  9 = 1100 C = 0 2 different answer. Hence, the statement is Insufficient. Quote: 2) the tens digit of n+9 is 2
N = ABCD = Odd => N = 1111 N + 9 = 1120 C = 2 N = 1119 N + 9 = 1128 C = 2 => For the 4 digit odd integer, the value of the ten's digit denoted by C will always be 1. B is sufficient, and is the answer. Hope this helps!
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Re: If n is a fourdigit positive integer, then what is the tens
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09 Aug 2017, 10:49
namrata88 wrote: Can someone please explain me the answer ?how is the range calculated? Thanks Namrata Also, in terms of the range, you can try to use smaller numbers for the statements to understand what they mean. For e.g. Statement 1  Ten's digit is 0 when N is subtracted by 9. The maximum value of N can be 18, but since N is odd, the maximum value it can take is 17. As 17  9 = 08 Here the ten's digit after subtraction is 0. Minimum Value of N = 9 As 9  9 = 0 => Ten's digit will also be 0. If we take N = 19, then N  9 = 10 Here the ten's digit after subtraction is 1, and it breaks the statement. The statement is a fact, so this value is OUT of range. Statement 2  Ten's digit is 2 when 9 is added to N. We cannot say N = 20, as N is odd. So the maximum value of N = 19 And 19 + 9 = 28 The minimum value of N can be 11, as we need the ten's digit to be 2 when we add 9 to it. Now try using this concept in a 4 digit odd number, and you'll figure it out. Hope this helps.
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Re: If n is a fourdigit positive integer, then what is the tens
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18 Feb 2019, 09:54
fozzzy wrote: If n is a fourdigit positive odd integer, then what is the tens digit of n?
1) the tens digit of n9 is 0 2) the tens digit of n+9 is 2 n is a 4 digit ODD I => _ _ _ _ Now lets see what can we do from 1) 12099 = 1200 or 12179 = 1208 We get 2 values for ten's digit from 2) 1219+9 = 1228, addition with 9 to give 2, will always have a 1 as ten's digit B
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Re: If n is a fourdigit positive integer, then what is the tens
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