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

 It is currently 22 Feb 2019, 14:41

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

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

Events & Promotions

Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

A bar below a digit in a decimal indicates an infinitely repeating dec

Author Message
TAGS:

Hide Tags

Senior RC Moderator
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2260
Location: Pakistan
GPA: 3.39
A bar below a digit in a decimal indicates an infinitely repeating dec  [#permalink]

Show Tags

Updated on: 10 Feb 2019, 04:49
2
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:56) correct 39% (01:58) wrong based on 23 sessions

HideShow timer Statistics

A bar below a digit in a decimal indicates an infinitely repeating decimal. 333,333.3 × $$(10^{–3} – 10^{–5})$$ =

A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0

_________________

New Project RC Butler 2019 - Practice 2 RC Passages Everyday
Final days of the GMAT Exam? => All GMAT Flashcards.
This Post Helps = Press +1 Kudos
Best of Luck on the GMAT!!

Last edited by SajjadAhmad on 10 Feb 2019, 04:49, edited 2 times in total.
Edited the question.
SVP
Joined: 18 Aug 2017
Posts: 1928
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
A bar below a digit in a decimal indicates an infinitely repeating dec  [#permalink]

Show Tags

Updated on: 14 Feb 2019, 07:30
1
A bar below a digit in a decimal indicates an infinitely repeating decimal. 333,333.3 × $$(10^{–3} – 10^{–5})$$ =

A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0

jfranciscocuencag
solution as follows
lets solve question in two parts

given
333,333.3 × $$(10^{–3} – 10^{–5})$$

first solve for 10^-3 - 10^-5

10^-3-10^-5 ;
10^-3( 1-10^-2)
10^-3 ( 100-1/100)
10^-3 * ( .99)
or say 9.9*10^-4

now we have
333333.33 * 9.9*10^-4

9.9~ 10 ; 9.9 * 10^-4 = 10^-3

333333.33* 10 ^-3
=> will give us 333.333
since 10>9 ; so our answer would be little low than 333.333 i.e 330

hope this helps..
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 10 Feb 2019, 04:45.
Last edited by Archit3110 on 14 Feb 2019, 07:30, edited 1 time in total.
Manager
Joined: 12 Sep 2017
Posts: 141
A bar below a digit in a decimal indicates an infinitely repeating dec  [#permalink]

Show Tags

14 Feb 2019, 06:18
Archit3110 wrote:
A bar below a digit in a decimal indicates an infinitely repeating decimal. 333,333.3 × $$(10^{–3} – 10^{–5})$$ =

A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0

m](10^{–3} – 10^{–5})[/m] = 9.9*1-^-4

so
333,333.3 ×9.9*1-^-4
= 330
IMO D

Could you please provide a detailed explanation?

I don't know what to do after this:

$$(10^{–3} – 10^{–5})$$

$$10^{–3}(1 – 10^{–2})$$

$$99/10^{5}$$

So

333,333.3 = $$3/9$$ = $$1/3$$

$$333,333.(1/3)(99/10^{5})$$ ... Recurring terminal

$$333,333.(33/10^{5})$$

$$333,333.(33*10^{-5})$$ ... after this I dont know that do do =/.

Kind regards!
Manager
Joined: 12 Apr 2011
Posts: 80
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
WE: Marketing (Telecommunications)
A bar below a digit in a decimal indicates an infinitely repeating dec  [#permalink]

Show Tags

16 Feb 2019, 23:20
A bar below a digit in a decimal indicates an infinitely repeating decimal. 333,333.3 × $$(10^{–3} – 10^{–5})$$ =

A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0

Let's break the equation into two parts:

For --> 333,333.3
Multiply numerator and denominator by 3:
(333,333.3 × 3)/3 = 1000000/3 = $$(10^{6})$$ / 3

For --> $$(10^{–3} – 10^{–5})$$
We can rewrite it to below:
$$((10^{-5}) * (10^{2} - 1)$$
= (100 - 1)/$$(10^{5})$$ = 99 / $$(10^{5})$$

Now lets combine the two we get:

$$({10^{6}} * 99)/ (3 * {10^{-5}})$$ = 33 * 10 = 330

Hence the correct answer is D.
_________________

Hit Kudos if you like what you see!

A bar below a digit in a decimal indicates an infinitely repeating dec   [#permalink] 16 Feb 2019, 23:20
Display posts from previous: Sort by