Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 03:48

### 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

# What's the remainder of (3^50)/ 4? A.0 B.1 C.2 D.3

Author Message
TAGS:
SVP
Joined: 24 Sep 2005
Posts: 1893
Followers: 11

Kudos [?]: 139 [0], given: 0

What's the remainder of (3^50)/ 4? A.0 B.1 C.2 D.3  [#permalink]  16 Mar 2006, 09:49
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
What's the remainder of (3^50)/ 4?

A.0
B.1
C.2
D.3
E.4
Manager
Joined: 30 Jan 2006
Posts: 146
Followers: 1

Kudos [?]: 9 [0], given: 0

Picking #s is what I did to test different scenarios:

3^2 = 9 ---> remainder is 1
3^3 = 27 ---> remainder is 3
3^4 = 81 ---> remainder is 1

The pattern seem to be that the remainder is 1 whenever 3 is raised to an even number. On the test, I would stop here because of time constraint and choose B = 1.

Let me know if I'm wrong!
SVP
Joined: 14 Dec 2004
Posts: 1707
Followers: 1

Kudos [?]: 50 [0], given: 0

Should be 1.

Odd power of 3, remainder = 3
Even power of 3, remainder = 1
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81

The cycle goes 1-3-9-7

3^50 will have 9 has the units digit

Remainder = 1
Senior Manager
Joined: 22 Nov 2005
Posts: 479
Followers: 1

Kudos [?]: 3 [0], given: 0

For me its B too...

Concept -

Odd number - remainder 3
Even Number - remainder 1
Current Student
Joined: 29 Jan 2005
Posts: 5244
Followers: 23

Kudos [?]: 179 [0], given: 0

I also used Wilfred`s brute force method which takes the full 2 minutes. However, Matador and Vivek pinpointed the trick. Nice observation guys
SVP
Joined: 24 Sep 2005
Posts: 1893
Followers: 11

Kudos [?]: 139 [0], given: 0

good job, everyone~ ^_^ ...OA is 1.
Similar topics Replies Last post
Similar
Topics:
3 The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle 3 26 Mar 2015, 03:36
If n = 8^11 8, what is the units digit of n? A. 0 B. 1 C. 4 5 11 Dec 2008, 17:05
1 If n = 8^11 8, what is the units digit of n? A. 0 B. 1 C. 4 3 17 Oct 2008, 09:02
What is the remainder when 4^96 is divided by 6? a) 0 b) 2 4 16 Dec 2007, 09:46
2^20 - n is divisible by 3, what can n be? A. 0 B. 1 C. 2 D. 7 13 Apr 2006, 09:02
Display posts from previous: Sort by