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# 1/(0.75-1)=

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Math Expert
Joined: 02 Sep 2009
Posts: 60727

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18 Sep 2012, 02:43
2
8
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:22) correct 9% (00:28) wrong based on 1833 sessions

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$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

Practice Questions
Question: 41
Page: 157
Difficulty: 550

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18 Sep 2012, 06:15
4
1
Bunuel wrote:
$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

.75 - 1 = -0.25

So the expression becomes 1/(-0.25) = -100/25 = -4

Hence A
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Math Expert
Joined: 02 Sep 2009
Posts: 60727

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18 Sep 2012, 02:44
SOLUTION

$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

$$\frac{1}{0.75-1}=\frac{1}{-0.25}=-4$$.

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18 Sep 2012, 04:57
2
1/-.25 = -4

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18 Sep 2012, 10:30
1
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

Practice Questions
Question: 41
Page: 157
Difficulty: 550

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1/(0.75-1) = 1/0.25 = 4 (Option "E")
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18 Sep 2012, 10:56
2
jitgoel wrote:

1/(0.75-1) = 1/0.25 = 4 (Option "E")

$$1/ (0.75-1) = 1/ (-0.25) = -4$$
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21 Sep 2012, 03:02
1
SOLUTION

$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

$$\frac{1}{0.75-1}=\frac{1}{-0.25}=-4$$.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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10 Sep 2014, 04:01
Bunuel wrote:
$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

Practice Questions
Question: 41
Page: 157
Difficulty: 550

$$\frac{1}{0.75-1}=$$

1/(-0.25)

100/(-25)

-4
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10 Sep 2014, 04:37
2
The answer would be negative & an integer

Only 4 fits in

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10 Sep 2014, 06:18
1/0.75 - 1 = -(1/0.25) = -4
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10 May 2016, 17:59
1
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-10 at 5.49.29 PM.png [ 24.94 KiB | Viewed 24087 times ]

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11 May 2016, 07:49
1
Bunuel wrote:
$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

Solution:

We start by subtracting 1 from 0.75 in the denominator of 1/(0.75 – 1). This yields:

1/-0.25

Next we convert 0.25 to a fraction, so 0.25 = 1/4. This now gives us:

1/(-1/4) = 1 x -4 = -4

The answer is A.
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08 Jun 2016, 02:28
0.75 -1 = -0.25
$$\frac{1}{-0.25}$$ = -4

Correct Answer - A
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22 Mar 2017, 22:37
I hope this can help everyone see all the different ways they can solve this problem:

$$\frac { 1 }{ 0.75-1 } =\frac { 1 }{ -0.25 } =\frac { 100 }{ -25 } =-4\\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad or\\ \frac { 1 }{ 0.75-1 } =\frac { 1 }{ \frac { 3 }{ 4 } -1 } =\frac { 1 }{ \cfrac { 3 }{ 4 } -\cfrac { 4 }{ 4 } } =\frac { 1 }{ -\frac { 1 }{ 4 } } =-\frac { 4 }{ 1 } =-4\\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad or\\ \frac { 1 }{ 0.75-1 } =\frac { 1 }{ -0.25 } =\frac { 1 }{ -\frac { 1 }{ 4 } } =-\frac { 4 }{ 1 } =-4$$

OA
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14 Sep 2017, 22:24
0.75-1 = -0.25
1/0.25 = 1*100/-0.25*100
100/ - 25 = -4
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10 Jan 2018, 12:53
1
Top Contributor
Bunuel wrote:
$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

Useful fraction property: 1/(a/b) = b/a
For example: 1/(2/3) = 3/2
And 1/(19/7) = 7/19

So, 1/(0.75 - 1) = 1/(-0.25) = 1/(-1/4) = -4/1 = -4

Alternatively, 1/(0.75 - 1) = 1/(3/4 - 4/4) = 1/(-1/4) = -4

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27 Jan 2018, 06:52
1/0.75-1 => 1/-0.25 => -4
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19 Aug 2018, 05:49
Bunuel wrote:
$$\frac{1}{0.75-1}=$$

(A) -4
(B) -0.25
(C) 0.25
(D) 0.75
(E) 4

Practice Questions
Question: 41
Page: 157
Difficulty: 550

tHIS IS HOW I SOLVED

1/ ( 0.75 - 1) = 1 / ( -0.25 ) = 1*100/-25 = 100/-25 = 4/-1 = -4 = ANSWER a
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19 Aug 2018, 06:12
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10 Oct 2018, 08:37
Do questions this easy still appear in the GMAT?
Re: 1/(0.75-1)=   [#permalink] 10 Oct 2018, 08:37

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