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

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15 Jun 2013, 23:27

2

This post received KUDOS

if n is a positive integer, what is the units digit of n?

1) the units digit of \((n+4)^2\) is 4 2) the units digit of \((n+3)^2\) is 1

Given that alone they are not sufficient, combining them we get that: because \((n+4)^2\) has a 4 as unit digit, \(n+4\) or is 8 or is a two digit integer ending with a 2 because \((n+3)^2\) has a 1 as unit digit, \(n+3\) or is 9 or is a two digit integer ending with a 1

Because the question asks for the unit digit of n, we can conclude that n will have a 8 as unit digit: X8+4=K2 X8+3=K1
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Re: If n is a positive integer, what is the units digit of n? [#permalink]

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26 Nov 2014, 10:57

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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02 Jan 2015, 03:38

Statement #1 ) : the unit digit of (n+4 ) ^ 2 is 4 : we know that the unit digit of 8^2 is 4 and also the unit digit of 12^2 . so n+4 could be 8 and 12

so n+4 = 8 and here n =4 OR n+4= 12 and Here n=8 so Two different integer and two different result . so Data # 1 Is insufficient.

Statement#2) : the unit digit of (n+3)^2 is 1 : we know that 9^2 has 1 in its unit digit and also 11^2 has 1 unit digit so n+3 = 9 OR 11 and n could be 6 OR 8 this Data

has 2 possible value and is ruled out too....

Combined info : we get 8 from 2 info in common so sufficient ... Answer is C

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

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03 Apr 2016, 10:29

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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25 Apr 2017, 05:57

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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