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a tough question from jeff sackmann total gmat math

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by sana.noor » Sun May 05, 2013 7:19 pm
What is the remainder when the positive integer x is divided
by the positive integer m, where m > 4?
(1) x = (m + 2)^2
(2) m = 7

A
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Source: — Data Sufficiency |

by hemant_rajput » Sun May 05, 2013 8:29 pm
sana.noor wrote:What is the remainder when the positive integer x is divided
by the positive integer m, where m > 4?
(1) x = (m + 2)^2
(2) m = 7

A
1. x/m = [(m + 2)^2]/m = (m^2 + 4m + 4)/m

remainder of x/m depend on the value of 4/m. so for any no. greater than 4 remainder will always be 4.

hence sufficient.

2.x/7, we don't have any idea about x. hence not sufficient.

Answer is A
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by Blue_Skies » Tue May 07, 2013 12:24 pm
Hemanth: Nice algebric approach. However you can also plug in numbers and see that the remainder is 4 always in each case. Hence A.
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