a tough question from jeff sackmann total gmat math

This topic has expert replies
Legendary Member
Posts: 512
Joined: Mon Jun 18, 2012 11:31 pm
Thanked: 42 times
Followed by:20 members
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
Work hard in Silence, Let Success make the noise.

If you found my Post really helpful, then don't forget to click the Thank/follow me button. :)
Source: — Data Sufficiency |

User avatar
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 22, 2012 7:13 am
Thanked: 46 times
Followed by:13 members
GMAT Score:700

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
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.

Senior | Next Rank: 100 Posts
Posts: 81
Joined: Thu May 03, 2012 1:48 pm
Thanked: 4 times

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.