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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: PS 10 notation [#permalink]
24 Aug 2007, 12:29
minnu wrote:
If (10^50) – 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
Thanks guys, I am not sure what this question asks...
C.
I am not sure if the GMAT test "base" concept, but basically, base 10 is just regular number.
Find out some numbers:
(10^3)-74 = 926
(10^4)-74 = 9926
(10^5)-74 = 99926
Look at the pattern, the sum of the digits = 9*(50-2) + 2 + 6 = 440
If 10^50 - 74 is written as an integer in a base 10 notation.What is the sum of the digits in that integer?
a. 424 b. 433 c. 440 d. 449 e. 467
C. 440 another approach is: We know that 10^50 is ending 00, so 10^50-74=9....9926 total number of digits in 10^50-74 is 50, or 48 digits of 9 and two digits 2 and 6. answer choice is 48*9+8=440
plugging numbers: let represent the sum of the digits in that integer as Y, with the reminder 8, we can represent it in form Y=X*9+8, where X number of digits in 10^50-74 and 8=2+6.
Start with C and than move to B or D.
B. 433=X*9+1, X=48 C. 440=X*9+8, X=48 - correct as we have the reminder 8 and 48 number of digits (50-2), 2 digits are 26. D. 449=X*9+8, X=49
Personally, I like NSP007's approach. My approaches are easy to comprehend. _________________
Hey Pkit, Please explain your approach. How do you know "total number of digits in 10^50-74 is 50, or 48 digits of 9 and two digits 2 and 6"?
Approach is easy Just look at the following example, what is the sum of digits of 10^3-5 ? you know that 10^3=1000 (thus 10^50 is a figure that begins with 1 anf has 50 zeros) and 1000-5=995, so I have two "9" and one "5". the sum is 9+9+5=23
Re: If (10^50) 74 is written as an integer in base 10 notation, [#permalink]
25 Jan 2012, 09:41
3
This post received KUDOS
Expert's post
2
This post was BOOKMARKED
Baten80 wrote:
What does "in base 10 notation" mean?
Based 10 notation, or decimal notation, is just a way of writing a number using 10 digits: 1, 2, 3, 4, 5, 6, 7, 8, and 0 (usual way), in contrast, for example, to binary numeral system (base-2 number system) notation.
If (10^50) – 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
\(10^{50}\) has 51 digits: 1 followed by 50 zeros; \(10^{50}-74\) has 50 digits: 48 9's and 26 in the end;
So, the sum of the digits of \(10^{50}-74\) equals to 48*9+2+6=440.
Re: If 10^50 - 74 is written as an integer in base 10 notation [#permalink]
22 Sep 2014, 10:30
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. _________________
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. _________________
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Perhaps known best for its men’s basketball team – winners of five national championships, including last year’s – Duke University is also home to an elite full-time MBA...
Hilary Term has only started and we can feel the heat already. The two weeks have been packed with activities and submissions, giving a peek into what will follow...