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69,300/(10^5 - 10^3) =

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69,300/(10^5 - 10^3) =  [#permalink]

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New post 30 Sep 2019, 22:14
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 30 Sep 2019, 22:33
1
on simplification we get
69300/99000
= 7/10
= 0.7

oa: B
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 30 Sep 2019, 22:47
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.
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 30 Sep 2019, 23:10
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
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 30 Sep 2019, 23:24
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
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 30 Sep 2019, 23:49
69300/100000-1000
69300/99000
693/990= 0.7
B is the answer.
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 01 Oct 2019, 00:03
\(\frac{69300}{(10^{5}—10^{3})}\)=

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

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

7*100/1000= 0.7

The answer is B

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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 01 Oct 2019, 05:20
1
Quote:
\(\frac{69,300}{10^5−10^3}=\)

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


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

Answer (B)
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 01 Oct 2019, 08:33
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
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 01 Oct 2019, 10:22
69300/ 10^3(10^2-1)
69300/(10^3*99)
69.3/99
693/990
=0.7
And=B

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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 01 Oct 2019, 10:25
693×10²/10²(10³-1)=693/999=~693
Option A

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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 01 Oct 2019, 16:30
\(\frac{693 * 10^2}{10^3(10^2 - 1)}\)

\(\frac{693}{10 * 99}\)

\(\frac{3^2 * 7 * 11}{10 * 3^2 * 11}\)

\(\frac{7}{10}\)
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 06 Oct 2019, 10:01
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

Answer B
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Re: 69,300/(10^5 - 10^3) =  [#permalink]

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New post 07 Oct 2019, 20:09
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

Answer: B
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Re: 69,300/(10^5 - 10^3) =   [#permalink] 07 Oct 2019, 20:09
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