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Math Expert V
Joined: 02 Sep 2009
Posts: 58464
69,300/(10^5 - 10^3) =  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 71% (01:28) correct 29% (01:23) wrong based on 91 sessions

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Competition Mode Question

$$\frac{69,300}{10^5 - 10^3} =$$

A. 0.693
B. 0.7
C. 0.71
D. 6.93
E. 7.1

_________________
Manager  G
Joined: 01 Mar 2019
Posts: 183
Location: India
Concentration: Strategy, Social Entrepreneurship
Schools: Ross '22, ISB '20, NUS '20
GPA: 4
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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1
on simplification we get
69300/99000
= 7/10
= 0.7

oa: B
_________________
Appreciate any KUDOS given Senior Manager  G
Joined: 18 May 2019
Posts: 378
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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69300/(10^5 - 10^3) = 69300/(10(100^2-10^2))
=69300/((10)(100+10)(100-10))
=69300/(10*110*90)
=693/(9*11*10)
=77/(11*10)
=7/10
=0.7

The answer is therefore B.
Director  D
Joined: 20 Jul 2017
Posts: 944
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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1
$$\frac{69,300}{(10^5−10^3)}$$
= $$\frac{69,300}{(10^3*10^2−10^3)}$$
= $$\frac{69,300}{10^3(10^2 - 1)}$$
= $$\frac{69,300}{(99*10^3)}$$
= $$\frac{700}{1000}$$
= $$0.7$$

IMO Option B
Manager  G
Joined: 22 Feb 2018
Posts: 119
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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69,300/10^5−10^3=

693*10^2/ 10^3 (10^2-1)
693*10^2/ 10^3 *99
0.7
Ans. B.

A. 0.693
B. 0.7
C. 0.71
D. 6.93
E. 7.1
Intern  Joined: 12 Sep 2019
Posts: 1
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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69300/100000-1000
69300/99000
693/990= 0.7
B is the answer.
Senior Manager  G
Joined: 25 Jul 2018
Posts: 283
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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$$\frac{69300}{(10^{5}—10^{3})}$$=

=$$\frac{693*100}{(10^{3}(10^{2}—1))}$$=

$$\frac{693*100}{(1000*99)}$$=

7*100/1000= 0.7

The answer is B

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Director  P
Joined: 24 Nov 2016
Posts: 643
Location: United States
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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1
Quote:
$$\frac{69,300}{10^5−10^3}=$$

A. 0.693
B. 0.7
C. 0.71
D. 6.93
E. 7.1

$$\frac{69,300}{10^5−10^3}=\frac{693•10^2}{10^3(10^2-1)}=\frac{693}{10(10−1)(10+1)}=\frac{693}{10(9)(11)}=\frac{77(9)}{10(9)(11)}=\frac{7(11)}{10(11)}=\frac{7}{10}=0.70$$

GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5043
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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we can simplify and solve
69300/10^3*99
IMO B ; 0.7

69,300/10^5−10^3
A. 0.693
B. 0.7
C. 0.71
D. 6.93
E. 7.1
Intern  B
Joined: 17 Oct 2016
Posts: 2
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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69300/ 10^3(10^2-1)
69300/(10^3*99)
69.3/99
693/990
=0.7
And=B

Posted from my mobile device
Senior Manager  G
Joined: 29 Jun 2019
Posts: 429
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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693×10²/10²(10³-1)=693/999=~693
Option A

Posted from my mobile device
_________________
Always waiting
Intern  B
Joined: 25 Nov 2015
Posts: 5
Location: Brazil
Concentration: General Management, Operations
Schools: IESE '21
WE: General Management (Consumer Products)
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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$$\frac{693 * 10^2}{10^3(10^2 - 1)}$$

$$\frac{693}{10 * 99}$$

$$\frac{3^2 * 7 * 11}{10 * 3^2 * 11}$$

$$\frac{7}{10}$$
Intern  B
Joined: 15 Apr 2019
Posts: 6
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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Right off the bat, we can eliminate D and E, since we see the solution must be <1 (69300/99000). If we get stuck on test day, we'll have much better odds of guessing the right answer.

Now, we have:
69300 / 99000
693 / 990
* Note, these are both multiples of 9
77 / 110
* Both multiples of 11
7 / 10

Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8137
Location: United States (CA)
Re: 69,300/(10^5 - 10^3) =  [#permalink]

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Bunuel wrote:

Competition Mode Question

$$\frac{69,300}{10^5 - 10^3} =$$

A. 0.693
B. 0.7
C. 0.71
D. 6.93
E. 7.1

Simplifying, we have:

69,300/[10^3(10^2 - 1)]

693/(10 x 99)

77/(10 x 11) = 7/10 = 0.7

_________________

Scott Woodbury-Stewart

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Scott@TargetTestPrep.com

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: 69,300/(10^5 - 10^3) =   [#permalink] 07 Oct 2019, 20:09
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