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

It is currently 18 Oct 2019, 06:40

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

Which of the following is equivalent to (8! + 9!)/10!?

  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: 58453
Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 28 Aug 2018, 20:39
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

96% (00:49) correct 4% (01:43) wrong based on 80 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 28 Aug 2018, 20:44
Bunuel wrote:
Which of the following is equivalent to \(\frac{8!+9!}{10!}\)?

A. 1/72
B. 9/100
C. 1/9
D. 9/10
E. 17/10


Express all the terms in terms of the lowest magnitude of factorial,

\(\frac{8!+9!}{10!}\)=\(\frac{8!+8!*9}{8!*9*10}\)=\(\frac{8!(1+9)}{8!*9*10}\)=\(\frac{8!*10}{8!*9*10}\)
=\(\frac{1}{9}\)

Ans. (C)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1019
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Reviews Badge
Re: Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 28 Aug 2018, 20:45
= (8!+9*8!)/10!

= 8!(1+9)/10!

= 10/10*9

= 1/9

C is the answer

Posted from my mobile device
_________________
Press +1 Kudos If my post helps!
Senior Manager
Senior Manager
User avatar
G
Joined: 17 Jan 2017
Posts: 298
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 28 Aug 2018, 20:58
Bunuel wrote:
Which of the following is equivalent to \(\frac{8!+9!}{10!}\)?

A. 1/72
B. 9/100
C. 1/9
D. 9/10
E. 17/10


\(\frac{8!+9!}{10!}\)

\(\frac{8!(1+9)}{10!}\)

Reducing 8! --> \(\frac{10}{10*9}\)

\(\frac{1}{9}\)

Hence C
_________________
Only those who risk going too far, can possibly find out how far one can go
Manager
Manager
User avatar
P
Joined: 15 Nov 2017
Posts: 169
Location: India
Concentration: Operations, Marketing
GPA: 4
WE: Operations (Retail)
Re: Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 28 Aug 2018, 21:00
2
Take 8 factorial common from numerator, this will render
\(\frac{8!(1+9)}{10*9*8!}\)

= \(\frac{1}{9}\)
Option C
_________________
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4771
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 29 Aug 2018, 08:20
Bunuel wrote:
Which of the following is equivalent to \(\frac{8!+9!}{10!}\)?

A. 1/72
B. 9/100
C. 1/9
D. 9/10
E. 17/10

\(\frac{8!+9!}{10!}\)

= \(\frac{8!+8!*9}{8!*9*10}\)

= \(\frac{8! ( 1 + 9)}{8!(9*10)}\)

= \(\frac{8!*10}{8!(9*10)}\)

= \(\frac{1}{9}\), Answer must be (C)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: Which of the following is equivalent to (8! + 9!)/10!?  [#permalink]

Show Tags

New post 03 Sep 2018, 19:01
Bunuel wrote:
Which of the following is equivalent to \(\frac{8!+9!}{10!}\)?

A. 1/72
B. 9/100
C. 1/9
D. 9/10
E. 17/10



Factoring out 8! from the numerator and denominator, we have:

8!(1 + 9)/[8!(9 x 10)]

Canceling the 8!, we have:

10/90

1/9

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: Which of the following is equivalent to (8! + 9!)/10!?   [#permalink] 03 Sep 2018, 19:01
Display posts from previous: Sort by

Which of the following is equivalent to (8! + 9!)/10!?

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





cron

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