BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Base notation Problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 42
Joined: Wed Aug 04, 2010 11:20 am
by sanalnnair » Fri Sep 10, 2010 9:14 am
Hi, Can anyone help me to solve this problem

Source- Previous GMAT question

Note "~" means raise to

If 10~1050 - 74 is written as an integer in base 10 notation, what is the sum of the digits in
that integer?

A. 424
B. 433
C. 440
D. 449
E. 467

Ans C


@ Sanju09, I tried hiding texts, but not able to do so..
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members
Location: Milpitas, CA
Thanked: 447 times

by Rahul@gurome » Fri Sep 10, 2010 6:19 pm
I think the question should be what is the sum of digits of the integer 10^50 - 74?

Now 10^50 = (10^48)*100.
Or 10^50 - 74 = (10^48)*100 - 74 = (10^48)*100 - 100 + 26 = 100*(10^48 - 1) + 26.

10^1 - 1 = 9.
10^2 - 1 = 99.
10^3 - 1 = 999.
Or 10^n - 1 = 99999....(n times).

Or 10^48 - 1 = 999.....(48 times).
Or 100*(10^48 - 1 ) = 9999....(48 times)00.
Or 100*(10^48 - 1) + 26 = 9999....(48 times)26. (last two digits are 26)

So the sum of digits is 9*48 + 2 + 6 = 432 + 8 = 440.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 42
Joined: Wed Aug 04, 2010 11:20 am

by sanalnnair » Sat Sep 11, 2010 12:09 am
Thanks a lot Rahul..
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1