Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 14:53

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If 5^18 + 2 is divided by 4, the remainder is 1. 0 2. 1

Author Message
Manager
Joined: 28 Aug 2004
Posts: 205
Followers: 1

Kudos [?]: 2 [0], given: 0

If 5^18 + 2 is divided by 4, the remainder is 1. 0 2. 1 [#permalink]

### Show Tags

25 Oct 2004, 06:31
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If 5^18 + 2 is divided by 4, the remainder is

1. 0
2. 1
3. 2
4. 3
5. none of these

How do you really go about solving questions like these, besides trying numbers here and there?

Also, check Manhattan's Challenge Problem of the week on this site:

http://www.manhattangmat.com/

Is there a time-saving strategy for these?
Senior Manager
Joined: 19 May 2004
Posts: 291
Followers: 1

Kudos [?]: 15 [0], given: 0

### Show Tags

25 Oct 2004, 06:55
R=3.
Remainder questions are often solved by looking for patterns.

What you can do is check a few numbers you know like:
(5^1 + 2) / 4 => Remainder = 3
(5^2 + 2) / 4 => Remainder = 3
(5^3 + 2) / 4 => Remainder = 3
And you can see that it's going to work with 5^18 as well.

The reason is that the remainder of 5/4 is 1, so the remainder of
5^n where n is a positive integer will also be 1.
Add 2 to that remainder and get the total remainder of 3.
Manager
Joined: 21 Jul 2004
Posts: 121
Followers: 1

Kudos [?]: 1 [0], given: 0

### Show Tags

25 Oct 2004, 11:28
Got the same aswner as well. remainder should be 3.
Manager
Joined: 18 Sep 2004
Posts: 151
Location: Dallas, TX
Followers: 1

Kudos [?]: 11 [0], given: 0

### Show Tags

25 Oct 2004, 13:55
Agree w/ 3 as the remainder,

5^(anything) will yield a 5 at the units place and if you add 2 gives you 7 at the units place and the pattern is that truncating at the units place is divisble by 4 so the remainder is 3.
Manager
Joined: 28 Aug 2004
Posts: 205
Followers: 1

Kudos [?]: 2 [0], given: 0

### Show Tags

25 Oct 2004, 23:04
Thanks guys. So I take it that in problems like these, we have to spend some time trying few numbers and see the pattern.
25 Oct 2004, 23:04
Display posts from previous: Sort by