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

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New post 14 Aug 2018, 02:11
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

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

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

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

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New post 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

Answer: option D
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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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New post 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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Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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New post 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,

IMO answer should be (D).

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

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New post 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

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

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New post 14 Aug 2018, 03:46
adstudy 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,

IMO answer should be (D).

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
Manager
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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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New post 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
AD
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Re: What is the value of 1/(x + 4)? (1) 4.375x – 6.25 = 11.25 (2) 1/(x  [#permalink]

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New post 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,

IMO answer should be (D).

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

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New post 14 Aug 2018, 04:11
1
adstudy wrote:
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


Hi adstudy

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.
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Prosper!!!
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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
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