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marzipan
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What is the value of the two digit integer n? (1) n is 20 Apr 2005, 02:57
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What is the value of the two digit integer n?

(1) n is divisible by 9
(2) the tens digit of n is 4

(a)-(d) data sufficiency answer options


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The answer here is (c), that both statements TOGETHER will answer the question. But I am confused because wouldnt' -45 also fulfill these conditions, meaning that (e) is the better choice: there isn't enough information to find the value for n?

I've been away from Math for many years, so my quantitative muscles are just beginning to stretch: my apologies if these questions are too easy for the rest of you!!



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christoph
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What is the value of the two digit integer n? (1) n is 20 Apr 2005, 08:03
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the tens digit is 4 so it cannot be -45, otherwise the tens digit would -4
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kapslock
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What is the value of the two digit integer n? (1) n is 20 Apr 2005, 10:20
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christoph
the tens digit is 4 so it cannot be -45, otherwise the tens digit would -4
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Christoph,

Any two digit number ab = 10a + b.
It doesn't apply to your theory because -4x10 +5 is NOT equal to -45.

I do see some point in Marzipan's statement. Though a gut feeling tells me its wrong, I don't know the logical argument.

Can anyone help please?
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MA
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What is the value of the two digit integer n? (1) n is Updated on: 21 Apr 2005, 10:10
Originally posted by MA on 20 Apr 2005, 10:36.
Last edited by MA on 21 Apr 2005, 10:10, edited 2 times in total.
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christoph
the tens digit is 4 so it cannot be -45, otherwise the tens digit would -4
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i think it should be E. i think he/she has a point to reject C.

you do not write unit digit as -5 or +5 and the sign is not for every single digits, but the sign is for the whole number.
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banerjeea_98
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What is the value of the two digit integer n? (1) n is 20 Apr 2005, 10:37
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Don't think u can consider -45 as multiple of 9......in my mind multiple of any number should always be a whole numbers (i.e. counting numbers , which usually means only +ve integers and 0). I have never heard
abt -ve multiples of a number.
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marzipan
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What is the value of the two digit integer n? (1) n is 21 Apr 2005, 06:45
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banerjeea_98
Don't think u can consider -45 as multiple of 9......in my mind multiple of any number should always be a whole numbers (i.e. counting numbers , which usually means only +ve integers and 0). I have never heard
abt -ve multiples of a number.
Show more


Any number can have negative multiples. Or not. Turns out it depends on who you talk to. According to this math doctor page

https://mathforum.org/library/drmath/view/63516.html

So in a test situation, (like GMAT), you have to figure out the test makers' answer to that question. I don't have the Official Guide yet, so I don't know--but I think that GMAT considers only positive factors and therefore postive multiples.

Anyone who can confirm via the Offical Guide?

thanks for the replies!
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gmat2me2
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What is the value of the two digit integer n? (1) n is 21 Apr 2005, 09:59
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banerjeea_98
Don't think u can consider -45 as multiple of 9......in my mind multiple of any number should always be a whole numbers (i.e. counting numbers , which usually means only +ve integers and 0). I have never heard
abt -ve multiples of a number.
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Yes I agree with you opinion...
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saurabhmalpani
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What is the value of the two digit integer n? (1) n is 01 May 2005, 09:59
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banerjeea_98
Don't think u can consider -45 as multiple of 9......in my mind multiple of any number should always be a whole numbers (i.e. counting numbers , which usually means only +ve integers and 0). I have never heard
abt -ve multiples of a number.
Show more


Just wanted to add one more point to the above reasoning given by banerjee.

ok when we deal with factors d we ever say that -2 is a factor 4?
NO we never say so, so how can -45 a multiple of 45?

Does it makes sense now?

Saurabh Malpani



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