a tough question from jeff sackmann total gmat math

[sana.noor]

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

[hemant_rajput]

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

[Blue_Skies]

Hemanth: Nice algebric approach. However you can also plug in numbers and see that the remainder is 4 always in each case. Hence A.