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D01-12

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Intern
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Joined: 20 May 2016
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Re: D01-12  [#permalink]

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New post 01 Jul 2017, 08:01
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The question stem tells us that @ is either (0 or 5) as N is divisible by 5 .
I Think we can get a unique answer with statement A because 1 is not divisible by 5 whereas 5! is divisible by 5 .
I cannot understand why you have checked for @ {1,2,3,4} as we have already narrowed our search down to @{0,5}.
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Re: D01-12  [#permalink]

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New post 01 Jul 2017, 09:21
akshaypareek312 wrote:
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The question stem tells us that @ is either (0 or 5) as N is divisible by 5 .
I Think we can get a unique answer with statement A because 1 is not divisible by 5 whereas 5! is divisible by 5 .
I cannot understand why you have checked for @ {1,2,3,4} as we have already narrowed our search down to @{0,5}.


You should read question and solution more carefully. The question does NOT say that @ equals to 0 or 5. The question asks whether @ equals to 0 or 5. From (1) if @ is 0, then the answer to the question is YES but if @ is 1, 2, 3, or 4, then the answer to the question is NO.
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Re: D01-12  [#permalink]

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New post 19 Sep 2018, 01:38
@! is not divisible by 5. can be 0, 1, 2, 3, or 4 (note that 0!=1). Not sufficient.
Here N's Unit Digit is https://gmatclub.com:443/forum/memberlist.php?mode=viewprofile&un=, not @! so why you consider 0 here ... can be 1,2,3,4 only..
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D01-12  [#permalink]

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New post 19 Sep 2018, 02:47
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Re D01-12  [#permalink]

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New post 09 Feb 2019, 23:48
I think this is a high-quality question and I agree with explanation.
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Re: D01-12  [#permalink]

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New post 10 Feb 2019, 00:28
Bunuel wrote:
If \(N = 1234@\) and \(@\) represents the units digit of \(N\), is \(N\) a multiple of 5?

(1) \(@!\) is not divisible by 5

(2) \(@\) is divisible by 9


Lets do 3 things first

For N to be divisible by 5 @ has to be 0 or 5

Second 0! = 1

Third: zero is a multiple of every integer (except zero itself)

(1) \(@!\) is not divisible by 5
@!, 0! = 1, when put back in the question, this will make N divisible by 5,, Yes
4! =24,when put back in the question, this will make N divisible by 5, No

(2) \(@\) is divisible by 9[/quote]
m can be 0, this is / by 9, when put back in the question, this will make N divisible by 5, Yes
m can be 9, when put back in the question, this will make N divisible by 5,No

We have the common value from both the statements
0, making N divisible by 5

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Re: D01-12   [#permalink] 10 Feb 2019, 00:28

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