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# What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x

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Math Expert
Joined: 02 Sep 2009
Posts: 51121
What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 02:11
00:00

Difficulty:

(N/A)

Question Stats:

90% (01:02) correct 10% (00:54) wrong based on 10 sessions

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What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 03:19
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

St1:- 4.375x – 6.25 = 11.25
One equation , one variable. value of x can be determined. hence, value of 1/(x+4) ca be determined.
On solving x=4.
Sufficient.

St2:- $$\frac{1}{(x + 8)}$$ - 148 = 116
Or, $$\frac{1}{(x+8)}$$=264
Or, $$x+8=\frac{1}{264}$$
Or, x+8=0 (Approx.)
Or, x=-8
But x can't be -8. (1/(x+8)=1/0 is undefined)
Insufficient.

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 03:29
2
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

DS RULE: To solve DS questions we have to only ensure whether information given in statement(s) is sufficient or not therefore as long as we are sure that we will get a Unique answer to the question, we can skip the calculation part and save on time. it is highly recommended

Question : value of 1/(x + 4) = ?

To answer this question we only need a unique value of x

Statement 1: 4.375x – 6.25 = 11.25

Now save your time and avoid solving it further because this is the equation in one variable so there will be a unique value of x after solving this hence

SUFFICIENT

Statement 2: 1/(x + 8) - 148 = 116

Again, save your time and avoid solving it further because this is the equation in one variable so there will be a unique value of x after solving this hence

SUFFICIENT

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GMAT: INSIGHT
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What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 03:34
PKN wrote:
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

St1:- 4.375x – 6.25 = 11.25
One equation , one variable. value of x can be determined. hence, value of 1/(x+4) ca be determined.
On solving x=4.
Sufficient.

St2:- $$\frac{1}{(x + 8)}$$ - 148 = 116
Or, $$\frac{1}{(x+8)}$$=264
Or, $$x+8=\frac{1}{264}$$
Or, x+8=0 (Approx.)
Or, x=-8

But x can't be -8. (1/(x+8)=1/0 is undefined)
Insufficient.

Ans. (A)

in GMAT Quant, Approximately zero does NOT mean Zero unless Question expects and mentions to approximate
_________________

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GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

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Manager
Joined: 11 Mar 2018
Posts: 90
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 03:40
PKN wrote:
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

St1:- 4.375x – 6.25 = 11.25
One equation , one variable. value of x can be determined. hence, value of 1/(x+4) ca be determined.
On solving x=4.
Sufficient.

St2:- $$\frac{1}{(x + 8)}$$ - 148 = 116
Or, $$\frac{1}{(x+8)}$$=264
Or, $$x+8=\frac{1}{264}$$
Or, x+8=0 (Approx.)
Or, x=-8
But x can't be -8. (1/(x+8)=1/0 is undefined)
Insufficient.

Ans. (A)

Hi PKN,

In statement 2, even if the value is 0 we will be able to determine $$\frac{1}{(x + 4)}$$ as undefined.

Moreover value can be rounded off to zero but we can not say it is exactly zero.
So,
$$\frac{1}{(x+8)}$$ will not equal $$\frac{1}{0}$$, it will equal$$\frac{1}{0.00000001}$$(something like this)

Hope it helps
_________________

Regards
---------------------------------
A Kudos is one more question and its answer understood by somebody !!!

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 03:44
GMATinsight wrote:
PKN wrote:
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

St1:- 4.375x – 6.25 = 11.25
One equation , one variable. value of x can be determined. hence, value of 1/(x+4) ca be determined.
On solving x=4.
Sufficient.

St2:- $$\frac{1}{(x + 8)}$$ - 148 = 116
Or, $$\frac{1}{(x+8)}$$=264
Or, $$x+8=\frac{1}{264}$$
Or, x+8=0 (Approx.)
Or, x=-8

But x can't be -8. (1/(x+8)=1/0 is undefined)
Insufficient.

Ans. (A)

in GMAT Quant, Approximately zero does NOT mean Zero unless Question expects and mentions to approximate

Hi GMATinsight,
Looking at both the statements, one can easily answer the question in 10 s.
However, Does each of the statements yield same unique value?
A standard GMAT DS value question(with option D as correct answer) always produce the same unique value at each of the statements.

Request to clarify.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

### Show Tags

14 Aug 2018, 03:46
PKN wrote:
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

St1:- 4.375x – 6.25 = 11.25
One equation , one variable. value of x can be determined. hence, value of 1/(x+4) ca be determined.
On solving x=4.
Sufficient.

St2:- $$\frac{1}{(x + 8)}$$ - 148 = 116
Or, $$\frac{1}{(x+8)}$$=264
Or, $$x+8=\frac{1}{264}$$
Or, x+8=0 (Approx.)
Or, x=-8
But x can't be -8. (1/(x+8)=1/0 is undefined)
Insufficient.

Ans. (A)

Hi PKN,

In statement 2, even if the value is 0 we will be able to determine $$\frac{1}{(x + 4)}$$ as undefined.

Moreover value can be rounded off to zero but we can not say it is exactly zero.
So,
$$\frac{1}{(x+8)}$$ will not equal $$\frac{1}{0}$$, it will equal$$\frac{1}{0.00000001}$$(something like this)

Hope it helps

Approximation is totally wrong at my end. I did it knowingly.

Do you get the the same unique value of x and 1/(x+4) from both the statements?
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Joined: 11 Mar 2018
Posts: 90
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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14 Aug 2018, 04:09
PKN wrote:

Approximation is totally wrong at my end. I did it knowingly.

Do you get the the same unique value of x and 1/(x+4) from both the statements?

Cannot say on this because never calculated further
But I believe that even if it is different it is okay until we have a value.
I guess we need an experts advice on it for confirming whether both statements need to give the same value.
Because even if we don't have a unique value of both we still have a determined value of each.

Let me know your view point on the same
_________________

Regards
---------------------------------
A Kudos is one more question and its answer understood by somebody !!!

CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

### Show Tags

14 Aug 2018, 04:10
PKN wrote:
PKN wrote:
Bunuel wrote:
What is the value of 1/(x + 4)?

(1) 4.375x – 6.25 = 11.25

(2) 1/(x + 8) - 148 = 116

St1:- 4.375x – 6.25 = 11.25
One equation , one variable. value of x can be determined. hence, value of 1/(x+4) ca be determined.
On solving x=4.
Sufficient.

St2:- $$\frac{1}{(x + 8)}$$ - 148 = 116
Or, $$\frac{1}{(x+8)}$$=264
Or, $$x+8=\frac{1}{264}$$
Or, x+8=0 (Approx.)
Or, x=-8
But x can't be -8. (1/(x+8)=1/0 is undefined)
Insufficient.

Ans. (A)

Hi PKN,

In statement 2, even if the value is 0 we will be able to determine $$\frac{1}{(x + 4)}$$ as undefined.

Moreover value can be rounded off to zero but we can not say it is exactly zero.
So,
$$\frac{1}{(x+8)}$$ will not equal $$\frac{1}{0}$$, it will equal$$\frac{1}{0.00000001}$$(something like this)

Hope it helps

Approximation is totally wrong at my end. I did it knowingly.

Do you get the the same unique value of x and 1/(x+4) from both the statements?[/quote]

Absolutely correct observation and in such scenario we call the question with appropriate quality

Bunuel : Please check the question and solution. The values from statements 1 and 2 are not the same violating the rule of GMAT.
_________________

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GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

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CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

### Show Tags

14 Aug 2018, 04:11
1
PKN wrote:

Approximation is totally wrong at my end. I did it knowingly.

Do you get the the same unique value of x and 1/(x+4) from both the statements?

Cannot say on this because never calculated further
But I believe that even if it is different it is okay until we have a value.
I guess we need an experts advice on it for confirming whether both statements need to give the same value.
Because even if we don't have a unique value of both we still have a determined value of each.

Let me know your view point on the same

NO, It's NOT OK for two statements to result in inconsistent and completely uncommon values. In GMAT level questions, such ambiguity does NOT exist.
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x &nbs [#permalink] 14 Aug 2018, 04:11
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