It is currently 20 Nov 2017, 08:46

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many four digit numbers that are divisible by 4 can be formed usin

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
Joined: 08 Sep 2010
Posts: 223

Kudos [?]: 326 [0], given: 21

Location: India
WE 1: 6 Year, Telecom(GSM)
How many four digit numbers that are divisible by 4 can be formed usin [#permalink]

Show Tags

New post 27 Oct 2010, 03:49
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

29% (01:01) correct 71% (01:32) wrong based on 7 sessions

HideShow timer Statistics

How many four digit numbers that are divisible by 4 can be formed using the digits 0 to 7 if no digit is to occur more than once in each number?

A. 520
B. 370
C. 345
D. 432
E. 353
[Reveal] Spoiler: OA

Last edited by ankitranjan on 28 Oct 2010, 00:20, edited 1 time in total.

Kudos [?]: 326 [0], given: 21

Manager
Manager
User avatar
Joined: 08 Sep 2010
Posts: 223

Kudos [?]: 326 [0], given: 21

Location: India
WE 1: 6 Year, Telecom(GSM)
Re: How many four digit numbers that are divisible by 4 can be formed usin [#permalink]

Show Tags

New post 28 Oct 2010, 00:36
Answer is B.370
I have solved it in this way....
A number will be divisible by 4 if the number formed by its last two digit is divisible by 4.
And in this way we have its last two digit as ...
04,12,16,20,24,32,36,40,52,56,60,64,72,76 {Four of these includes 0 and remaining ten are without 0}
( I didnt include 44 as repetition is not allowed and others as digit should be less than 8)

Now consider the case when any of the last two digit is 0. we can get 6*5 = 30 different numbers

so total formed number where any of the last two digit is 0 = 4*30=120

Now consider the case when none of the last two digit is 0 = 5 * 5 =25 (because 1000s place cant be filled by 0 or else it will be a three digit number)

so total formed number when none of the last two digit is 0 = 10 * 25 =250

Hence required answer is 250+120 =170.
_________________

Consider KUDOS if You find it good

Kudos [?]: 326 [0], given: 21

Re: How many four digit numbers that are divisible by 4 can be formed usin   [#permalink] 28 Oct 2010, 00:36
Display posts from previous: Sort by

How many four digit numbers that are divisible by 4 can be formed usin

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.