Last visit was: 13 Jul 2025, 20:26 It is currently 13 Jul 2025, 20:26
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
User avatar
interceptor77
Joined: 23 Sep 2011
Last visit: 17 Jun 2017
Posts: 10
Own Kudos:
150
 [28]
Given Kudos: 26
Products:
Posts: 10
Kudos: 150
 [28]
1
Kudos
Add Kudos
27
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Jul 2025
Posts: 102,639
Own Kudos:
741,127
 [5]
Given Kudos: 98,178
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,639
Kudos: 741,127
 [5]
2
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
User avatar
interceptor77
Joined: 23 Sep 2011
Last visit: 17 Jun 2017
Posts: 10
Own Kudos:
150
 [4]
Given Kudos: 26
Products:
Posts: 10
Kudos: 150
 [4]
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
avatar
fireagablast
Joined: 30 Jun 2019
Last visit: 17 Aug 2021
Posts: 265
Own Kudos:
120
 [2]
Given Kudos: 8
Posts: 265
Kudos: 120
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
10^1 = 10
10^2 = 100
..
10^50 = 50 zeroes

1000-57 = 943 -> (3-2)9 + 4 +3
10^50-57 = (50-2)(9) + 4 +3 = 439
User avatar
Mansouri
Joined: 25 Feb 2024
Last visit: 06 Mar 2024
Posts: 3
Given Kudos: 9
Posts: 3
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hello Bunuel,

can you explain this one also. thanks man
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Jul 2025
Posts: 102,639
Own Kudos:
741,127
 [1]
Given Kudos: 98,178
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,639
Kudos: 741,127
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
 
Mansouri
If x = 10^50 - 57, what is the sum of all the digits of x?

(A) 390
(B) 418
(C) 420
(D) 439
(E) 449­

hello Bunuel,

can you explain this one also. thanks man
­
\(10^{50}\) has 51 digits: 1 followed by 50 zeros;
\(10^{50}-57\) has 50 digits: 48 nines and 43 at the end;

So, the sum of the digits of \(10^{50}-74\) equals to 48*9 + 4 + 3 = 439.

Answer: D.

Hope it helps.­­
User avatar
Oppenheimer1945
Joined: 16 Jul 2019
Last visit: 13 Jul 2025
Posts: 795
Own Kudos:
Given Kudos: 223
Location: India
GMAT Focus 1: 645 Q90 V76 DI80
GPA: 7.81
Kudos
Add Kudos
Bookmarks
Bookmark this Post
10^2-57=43
10^3-57=943

10^n-54=999...(n-2) times 43

sum of Digits=9(n-2)+4+3=9(48)+4+3
9(50-2)+7=450-18+7=450-11=439
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,378
Own Kudos:
Posts: 37,378
Kudos: 1,010
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Math Expert
102639 posts
PS Forum Moderator
691 posts