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

It is currently 19 Jul 2018, 12:32

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

3 ⋅ 3 ⋅ 3 ⋅ 3/9 ⋅ 9 ⋅ 9 ⋅ 9=

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

Hide Tags

1 KUDOS received
SVP
SVP
User avatar
V
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1599
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
3 ⋅ 3 ⋅ 3 ⋅ 3/9 ⋅ 9 ⋅ 9 ⋅ 9=  [#permalink]

Show Tags

New post Updated on: 12 Jul 2018, 23:12
1
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:20) correct 11% (00:02) wrong based on 45 sessions

HideShow timer Statistics

\(\frac{3 ⋅ 3 ⋅ 3 ⋅ 3}{9 ⋅ 9 ⋅ 9 ⋅ 9}\)=

(A) \(\frac{1}{3}\)^4
(B) \(\frac{1}{3}\)^3
(C) 1/3
(D) 4/9
(E) 4/3

Level: 500

_________________

Official PS Practice Questions
Press +1 Kudos if this post is helpful


Originally posted by SajjadAhmad on 14 Oct 2017, 10:44.
Last edited by SajjadAhmad on 12 Jul 2018, 23:12, edited 1 time in total.
1 KUDOS received
Senior Manager
Senior Manager
avatar
P
Joined: 13 Oct 2016
Posts: 296
Concentration: Operations, Leadership
GMAT 1: 600 Q44 V28
GMAT ToolKit User Premium Member
Re: 3 ⋅ 3 ⋅ 3 ⋅ 3/9 ⋅ 9 ⋅ 9 ⋅ 9=  [#permalink]

Show Tags

New post 14 Oct 2017, 10:53
1
We should understand that (a.a/b.b) can be written as (a/b).(a/b) ----- (1)

Here "." represents multiplication and the above property is valid for multiplication.

Now applying (1) in the problem.

We can write the question as (3/9).(3/9).(3/9).(3/9) which on further simplification gives us (1/3).(1/3).(1/3).(1/3) = (1/3)^4

Hence the answer is A.
_________________

_______________________________________________
If you appreciate the post then please click +1Kudos :)

SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1830
Premium Member CAT Tests
Re: 3 ⋅ 3 ⋅ 3 ⋅ 3/9 ⋅ 9 ⋅ 9 ⋅ 9=  [#permalink]

Show Tags

New post 14 Oct 2017, 14:01
SajjadAhmad wrote:
\(\frac{3 ⋅ 3 ⋅ 3 ⋅ 3}{9 ⋅ 9 ⋅ 9 ⋅ 9}\)=

(A) \(\frac{1}{3}\)^4
(B) \(\frac{1}{3}\)^3
(C) 1/3
(D) 4/9
(E) 4/3

Exponents

\(\frac{3 ⋅ 3 ⋅ 3 ⋅ 3}{9 ⋅ 9 ⋅ 9 ⋅ 9}=\)

\(\frac{3^4}{(3^2)^4}=\frac{3^4}{3^8}= \frac{1}{3^{(8-4)}}= \frac{1}{3^4}=(\frac{1}{3})^4\)

Cancel factors

Factor out four 3s from both numerator and denominator, to yield

\(\frac{1 ⋅ 1 ⋅ 1 ⋅ 1}{3 ⋅ 3 ⋅ 3 ⋅ 3}=\frac{1}{3^4} =
(\frac{1}{3})^4\)

Answer A
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Re: 3 ⋅ 3 ⋅ 3 ⋅ 3/9 ⋅ 9 ⋅ 9 ⋅ 9= &nbs [#permalink] 14 Oct 2017, 14:01
Display posts from previous: Sort by

3 ⋅ 3 ⋅ 3 ⋅ 3/9 ⋅ 9 ⋅ 9 ⋅ 9=

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

Events & Promotions

PREV
NEXT


cron

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.