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If r is the remainder when the postive integer n is divided

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If r is the remainder when the postive integer n is divided [#permalink] New post 30 Jul 2010, 06:50
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If r is the remainder when the postive integer n is divided by 7, what is the value of r ?
1 when n is divided by 21 the remainder is an odd number
2 when n is divided by 28, the remainder is 3
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Re: D.S [#permalink] New post 30 Jul 2010, 08:19
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Statement 1:

The fastest way to check whether statement 1 is sufficient or not is probably to chose sensible numbers: e.g. 24 / 21 = 1 + remainder of 3; 26 / 21 = 1 + remainder of 5 => not sufficient

Statement 2:

Again chose multiples of 28 and add 3 to them (as remainder must be 3):
e.g. 31 / 28 = 1 + remainder of 3, 31 / 7 = 4 + remainder of 3 => r would be 3 in this example
59/ 28 = 2 + remainder of 3, 59 / 7 = 8 + remainder of 3 => remainder r again equal to 3
If you chose one or two additional numbers the pattern becomes clear

=> Statement 2 alone is sufficient => Answer choice B
Re: D.S   [#permalink] 30 Jul 2010, 08:19
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If r is the remainder when the postive integer n is divided

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