GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Nov 2019, 03:32

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

The number 2013 has the property that its units digit is the sum of it

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59227
The number 2013 has the property that its units digit is the sum of it  [#permalink]

Show Tags

New post 20 Mar 2019, 04:59
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

39% (02:33) correct 61% (03:06) wrong based on 36 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5309
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
The number 2013 has the property that its units digit is the sum of it  [#permalink]

Show Tags

New post Updated on: 20 Mar 2019, 09:39
Bunuel wrote:
The number 2013 has the property that its units digit is the sum of its other digits, that is 2 + 0 + 1 = 3. How many integers less than 2013 but greater than 1000 share this property?

(A) 33
(B) 34
(C) 45
(D) 46
(E) 58


in the given range from 2000 to 2013 only 1 no exists i.e 2002
also we observe that from series
1000 to 1100
we have
1001
1012
1023
1034
1056
1067
1078
1089

total 9 such no
then
1102
1113
1124
1135
1146
1157
1168
1179
then 8
we can say that for every hundereds series increase the total of such nos decreases by 1
so total 45 such no from 1000 to 2000 series then 1 from 2000 to 2013 .
total no can be 9+8+7+6+5+4+3+2+1 +1 = 46; IMO D

Originally posted by Archit3110 on 20 Mar 2019, 07:45.
Last edited by Archit3110 on 20 Mar 2019, 09:39, edited 1 time in total.
Intern
Intern
avatar
B
Joined: 30 Jan 2019
Posts: 6
Re: The number 2013 has the property that its units digit is the sum of it  [#permalink]

Show Tags

New post 20 Mar 2019, 09:38
The above is slightly wrong. The only number between 2000 and 2013 is 2002, not 2013, since it has to be LESS than 2013.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5309
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: The number 2013 has the property that its units digit is the sum of it  [#permalink]

Show Tags

New post 20 Mar 2019, 09:40
yashu612 wrote:
The above is slightly wrong. The only number between 2000 and 2013 is 2002, not 2013, since it has to be LESS than 2013.


yashu612
edited thanks.
GMAT Club Bot
Re: The number 2013 has the property that its units digit is the sum of it   [#permalink] 20 Mar 2019, 09:40
Display posts from previous: Sort by

The number 2013 has the property that its units digit is the sum of it

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





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