GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 30 May 2020, 05:26

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

0.2% of (3/4)^2

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

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1802
WE: General Management (Education)
GMAT ToolKit User CAT Tests
0.2% of (3/4)^2  [#permalink]

Show Tags

New post 14 Mar 2020, 18:11
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (01:10) correct 32% (01:47) wrong based on 31 sessions

HideShow timer Statistics

Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1802
WE: General Management (Education)
GMAT ToolKit User CAT Tests
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 14 Mar 2020, 18:16
(0.2/100) * (3/4)*(3/4) * (160/1/100)
(2/1000)* (3/4)*(3/4) * 16000
18
1.8 * 10

Answer = D

(PS: Do not perform the actual multiplication without cancelling out the common terms to reduce the fractions in proper fraction)
_________________
Director
Director
avatar
V
Joined: 22 Feb 2018
Posts: 743
GMAT ToolKit User
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 14 Mar 2020, 18:34
0.2% of (3/4)^2 *(160/〖10〗^(-2) )=
A) 1.8* 10^-3
B) 1.8* 10^-2
C) 1.8
D) 1.8* 10
E) 1.8* 10^2

0.2/100 * 3/4*3/4 * (160/1/100) 16000
2/1000* 3/4*3/4 * 16000
18
1.8 * 10

Imo. D
Senior Manager
Senior Manager
User avatar
P
Joined: 31 May 2017
Posts: 412
GMAT ToolKit User Reviews Badge
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 14 Mar 2020, 19:13
0.2% of (3/4)^2 *(160/〖10〗^(-2) )=

Lets divide and calculate

(3/4)^2
3/4 = 0.75
0.75^2 = 0.5625

0.2% of 0.5625 = 0.001125

Now (160/〖10〗^(-2) )

10^-2 = -100
160/-100 = -1.60

Now final calculation = 0.001125* - 1.60 = 0.0018

Here we need to look for answer choices that can offer decimal values. So we can safely ignore option C,D and E.

Option B: 1.8*10^-2 = 1.8*1/100 = 0.018
Option A: 1.8*10^-3 = 1.8*1/1000 = 0.0018

Ans: A
_________________
VP
VP
User avatar
V
Joined: 18 Dec 2017
Posts: 1366
Location: United States (KS)
GMAT 1: 600 Q46 V27
Premium Member CAT Tests
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 14 Mar 2020, 20:12
Quote:
0.2% of (3/4)^2 *(160/〖10〗^(-2) )=
A) 1.8* 10^-3
B) 1.8* 10^-2
C) 1.8
D) 1.8* 10
E) 1.8* 10^2


0.2% of (3/4)^2 *(160/〖10〗^(-2) )

Lets simplify what we can and not solve
\((2/1000) * (9/16) * (160/(1/100))\)
\((2/1000) * (9/16) * (160*100)\)
\(18\)

We don't have option as 18 so we will have to look deeper.

A) 1.8* 10^-3 - Nope
B) 1.8* 10^-2 - Nope
C) 1.8 - Nope
D) 1.8* 10 = (18/10)*10 = 18 - Works
E) 1.8* 10^2 - Nope

Answer D
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Why You Don’t Deserve A 700 On Your GMAT

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Senior Manager
Senior Manager
avatar
G
Joined: 18 Jan 2020
Posts: 336
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 14 Mar 2020, 20:45
OA is D
As asked in question 0.2% of (3/4)^2 *(160/ (10) ^(-2) ) is equal to what.
Squaring 3/4 We get 9/16 x 160/10^(-2)
When we have power in negative it automatically become positive in denominator.
So equation will become.
9/16*160*10^2
9*1000
9000
And 0.2% of 9000 is equal to 18
And D option is also giving 18 as answer = 1.8*10=18
So OA is D

Posted from my mobile device
Manager
Manager
avatar
S
Joined: 10 Jun 2018
Posts: 58
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 15 Mar 2020, 00:01
\(\frac{0.2}{100}\)\((\frac{3}{4})^2\)\((\frac{160}{10^-2})\)
= \(\frac{0.2}{100}\)*\(\frac{9}{16}\)*160*10^2
=0.2*9*10
=1.8*10

Option D
CEO
CEO
User avatar
V
Joined: 03 Jun 2019
Posts: 2904
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Premium Member Reviews Badge CAT Tests
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 15 Mar 2020, 01:20
Asked: 0.2% of (3/4)^2 *(160/〖10〗^(-2) )=

0.2% of (3/4)^2 *(160/〖10〗^(-2) )= .2/100 * (9/16) * (160 * 100) = .2 * 9 * 10 = 1.8 * 10

A) 1.8* 10^-3
B) 1.8* 10^-2
C) 1.8
D) 1.8* 10
E) 1.8* 10^2

IMO D
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Manager
Manager
avatar
B
Joined: 11 Jun 2014
Posts: 65
CAT Tests
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 15 Mar 2020, 03:16
Answer :D

0.2% of (3/4)^2 X(160/[10]^-2)
0.2 % of 9/16X(160x100)
0.2/100X9/16X16000
=18=1.8x10
Intern
Intern
avatar
Joined: 05 Feb 2020
Posts: 1
Re: 0.2% of (3/4)^2  [#permalink]

Show Tags

New post 15 Mar 2020, 05:00
=0.20/100 * 9/16 *(16*10)/10^(-2)

=0.20 * 9 * 10*(-2+2+1)

=0.20 * 9 * 10^(1)

=1.8 * 10

Therefore, according to me the answer should be option D.

It will be great if some expert can verify.
GMAT Club Bot
Re: 0.2% of (3/4)^2   [#permalink] 15 Mar 2020, 05:00

0.2% of (3/4)^2

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





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