number properties

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 344
Joined: Sat Nov 12, 2011 3:21 am
Thanked: 1 times
Followed by:2 members

number properties

by sud21 » Thu Jan 12, 2012 5:00 am
When integer n is divided by 9, the remainder is 3. Is the integer divisible by 5?
1). When n is divided by 45, the remainder is 30
2). n is divisible by 2
Source: — Data Sufficiency |

User avatar
Community Manager
Posts: 1060
Joined: Fri May 13, 2011 6:46 am
Location: Utrecht, The Netherlands
Thanked: 318 times
Followed by:52 members

by neelgandham » Thu Jan 12, 2012 9:02 am
When integer n is divided by 9, the remainder is 3. Is the integer divisible by 5?
1). When n is divided by 45, the remainder is 30
n = 45k+30 = 5*(9k+6) Divisible by 5 Sufficient
2). n is divisible by 2
n = 9k + 3 (from the question)
If k = 3, n = 30(Even) and is divisible by 5.
If k = 1, n = 12(Even) and is bot divisible by 5.
Insufficient

IMO A
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/