It is currently 21 Oct 2017, 23:47

### 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

# Divisible by 4

Author Message
Manager
Joined: 28 Jan 2004
Posts: 202

Kudos [?]: 28 [0], given: 4

Location: India

### Show Tags

04 Jul 2009, 15:27
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.

How many 4 digit numbers are divisible by 4 if no digits are repeated. Sorry I don't know the answer !!!!!
Actually i was trying to understand the explanation given in the following link. The link explained abt. 6 digit numbers, i just thought to make it simple.
http://mathforum.org/library/drmath/view/56154.html

Kudos [?]: 28 [0], given: 4

Manager
Joined: 12 Apr 2009
Posts: 210

Kudos [?]: 244 [0], given: 4

### Show Tags

05 Jul 2009, 02:17
mdfrahim wrote:
How many 4 digit numbers are divisible by 4 if no digits are repeated. Sorry I don't know the answer !!!!!
Actually i was trying to understand the explanation given in the following link. The link explained abt. 6 digit numbers, i just thought to make it simple.
http://mathforum.org/library/drmath/view/56154.html

Well I have not seen the link but my logic would be thus:

a number is divisible by 4 if the last 2 digits are divisible by 4.

which could be 04,08,12,16,20,24......96. There are 24 numbers. However since numbers cannot repeat -
44,88 are out. So it leaves us with 22 numbers.

for a four digit number to occur the first digit can be 1-9 (9 options) and second number can be 0-9 (10 options)
However again since numbers cannot repeat.

Second number of the 4 digit number = 10 - 2 (2 digits have already been used in by the last 2 digits of the 4 digit number)
= 8

First number of the 4 digit number = 9 - 3 (same logic)
= 6

so each number (04-96) stipulated above can have (6)(8) options.

So total is (6)(8)(22) = 1056 .

is that right?
_________________

-talent is the desire to practice-

Kudos [?]: 244 [0], given: 4

Re: Divisible by 4   [#permalink] 05 Jul 2009, 02:17
Display posts from previous: Sort by