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Bunuel
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Bunuel
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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Bunuel
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 :)
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Bunuel
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.
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PKN
Bunuel
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?
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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
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Bunuel
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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PKN


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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