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# 0.2% of (3/4)^2

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Retired Moderator
Joined: 27 Oct 2017
Posts: 1808
WE: General Management (Education)

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14 Mar 2020, 18:11
00:00

Difficulty:

35% (medium)

Question Stats:

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

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GMATBusters’ Quant Quiz Question -3

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

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Retired Moderator
Joined: 27 Oct 2017
Posts: 1808
WE: General Management (Education)

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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

(PS: Do not perform the actual multiplication without cancelling out the common terms to reduce the fractions in proper fraction)
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Director
Joined: 22 Feb 2018
Posts: 753

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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
Joined: 31 May 2017
Posts: 412

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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
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Joined: 18 Dec 2017
Posts: 1377
Location: United States (KS)
GMAT 1: 600 Q46 V27

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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

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Senior Manager
Joined: 18 Jan 2020
Posts: 411
Location: India
GPA: 4

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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

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Manager
Joined: 10 Jun 2018
Posts: 58

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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
Joined: 03 Jun 2019
Posts: 2935
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)

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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
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Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Manager
Joined: 11 Jun 2014
Posts: 65

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15 Mar 2020, 03:16

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

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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.
Re: 0.2% of (3/4)^2   [#permalink] 15 Mar 2020, 05:00