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# What is the value of 81,918/(10^5 - 10^2)

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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08 May 2015, 06:27
00:00

Difficulty:

45% (medium)

Question Stats:

69% (01:44) correct 31% (01:48) wrong based on 250 sessions

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What is the value of 81,918/(10^5 - 10^2)

(A) 8.19
(B) 8.02
(C) 0.89
(D) 0.82
(E) 0.81

Kudos for a correct solution.

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Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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08 May 2015, 11:40
1
I guess the tricky part here is to avoid the pitfall and not assume that 10^5-10^2=10^3

10^5-10^2=99900 almost 100000
81918/99900 more or less the same as 81918/100000 -> 0,82
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Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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09 May 2015, 02:41
1
$$81918/(10^5-10^3) = 81918/10^2(1000-1) = 819.18/999$$
which is slightly greater than 0.819
the nearest solution is 0.82
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Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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09 May 2015, 09:48
1
Bunuel wrote:
What is the value of 81,918/(10^5 - 10^2)

(A) 8.19
(B) 8.02
(C) 0.89
(D) 0.82
(E) 0.81

Kudos for a correct solution.

81918/10^2(10^3-1)
81918/999*10^2
82/10^2
0.82
Math Expert
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Posts: 58340
Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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11 May 2015, 06:45
Bunuel wrote:
What is the value of 81,918/(10^5 - 10^2)

(A) 8.19
(B) 8.02
(C) 0.89
(D) 0.82
(E) 0.81

Kudos for a correct solution.

MANHATTAN GMAT OFFICIAL SOLUTION:

10^2 is extremely small compared to 105, and the choices are somewhat spread out, so we can estimate:

81,918/(10^5 - 10^2) = 81,918/100,000 = 0.81918

Notice that by ignoring the 10^2 term, we made the denominator slightly larger than it originally was. Therefore 0.81918 is slightly lower than the correct answer. The correct answer is (D) 0.82.
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Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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15 Nov 2016, 11:26
Bunuel wrote:
What is the value of 81,918/(10^5 - 10^2)

(A) 8.19
(B) 8.02
(C) 0.89
(D) 0.82
(E) 0.81

Kudos for a correct solution.

10^5 - 10^2 = 100000 - 100 => 99900

$$\frac{81918}{99900}$$ = $$0.82$$

Hence, answer will be (D) 0.82
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Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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15 Nov 2016, 22:14
Bunuel wrote:
What is the value of 81,918/(10^5 - 10^2)

(A) 8.19
(B) 8.02
(C) 0.89
(D) 0.82
(E) 0.81

Kudos for a correct solution.

81918/(100000-1000)= 81918/99000==> 81.918/99==> 9.102/11==> 9/11 approx
0.0909*9= 0.8181 corresponds to 0.82 since 9.102 has been approximated to 9
D
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Re: What is the value of 81,918/(10^5 - 10^2)  [#permalink]

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22 Jan 2018, 12:57
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Re: What is the value of 81,918/(10^5 - 10^2)   [#permalink] 22 Jan 2018, 12:57
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