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QB - NP: #5 Dividing by 11 & 19

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jeremy.hansen
 Post subject: QB - NP: #5 Dividing by 11 & 19
 Post Posted: Sun Jun 20, 2010 3:41 pm 
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Course Students


Posts: 19
I don't understand the explanation to this question and I am hoping I can get perhaps a simpler one.

Question: When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3. What is the remainder when y is divided by 19?



I know that the first sentence can be translated into x = 11Y + 3 (or x -3 is a multiple of 11)

And that the second sentence means x = 19A + 3 (or x -3 is a multiple of 19)

What I am having trouble with is seeing that Y is a multiple of 19. It would be helpful is someone could show me with real numbers.

thanks
Jeremy
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gayathri248
 Post subject: Re: QB - NP: #5 Dividing by 11 & 19
 Post Posted: Wed Jun 23, 2010 1:03 am 
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Course Students


Posts: 10
x = 11Y + 3
x = 19A + 3

so, 11Y = 19A. For this equation to be true, Y should have atleast one multiple of 19 as a factor since 11 doesn't divide 19.
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tim
 Post subject: Re: QB - NP: #5 Dividing by 11 & 19
 Post Posted: Thu Jul 08, 2010 1:28 pm 
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ManhattanGMAT Staff


Posts: 2242
Location: Southwest Airlines, seat 21C
Nice, succinct explanation; good job..

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Tim Sanders
Manhattan GMAT Instructor
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