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# M26-11

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Math Expert
Joined: 02 Sep 2009
Posts: 49968

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16 Sep 2014, 01:24
00:00

Difficulty:

55% (hard)

Question Stats:

64% (00:53) correct 36% (01:19) wrong based on 287 sessions

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If $$x$$ is a negative integer and $$3 \lt x^2 \lt 36$$, then what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

A. $$-12$$
B. $$-9$$
C. $$-3$$
D. $$1$$
E. $$6$$

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Math Expert
Joined: 02 Sep 2009
Posts: 49968

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16 Sep 2014, 01:25
1
1
Official Solution:

If $$x$$ is a negative integer and $$3 \lt x^2 \lt 36$$, then what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

A. $$-12$$
B. $$-9$$
C. $$-3$$
D. $$1$$
E. $$6$$

Since given that $$x$$ is a negative integer, then $$x$$ can be -2, -3, -4, or -5.

Twice the maximum possible value of $$x$$ is $$2*(-2)=-4$$.

The minimum possible value of $$x$$ is $$-5$$.

Thus the answer is $$-4-(-5)=1$$.

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03 May 2015, 17:43
1
Bunuel wrote:
If $$x$$ is a negative integer and $$3 \lt x^2 \lt 36$$, then what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

A. $$-12$$
B. $$-9$$
C. $$-3$$
D. $$1$$
E. $$6$$

I got this right but there can be 2 ways to read the questions -
what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

Does this mean twice*maximum - minimum (which looks to be the intended explanation) OR
twice* (maximum - minimum) . Unfortunately, both of these are in choices - (1 and 6).
Intern
Joined: 07 May 2012
Posts: 8

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31 Aug 2015, 16:44
I did 2 (max - min). Ended up with 6 as the answer (incorrect answer) :(
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Joined: 17 Jul 2014
Posts: 2653
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)

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31 Oct 2015, 21:32
1
3
pay attention to where the "twice" is.
if twice was before amount of - then 2 (max-min)
but since twice is after the amount, it clearly only refers to the maximum only
SC :D
Intern
Joined: 06 Sep 2016
Posts: 2

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23 Nov 2016, 17:32
1
question is worded very vaguely. please make the question more specific.
Math Expert
Joined: 02 Sep 2009
Posts: 49968

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24 Nov 2016, 01:07
womsuko wrote:
question is worded very vaguely. please make the question more specific.

Can you please tell me which part is ambiguous? For me the question is clear.
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Joined: 26 Mar 2013
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25 Nov 2016, 03:55
Bunuel wrote:
Official Solution:

If $$x$$ is a negative integer and $$3 \lt x^2 \lt 36$$, then what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

A. $$-12$$
B. $$-9$$
C. $$-3$$
D. $$1$$
E. $$6$$

Since given that $$x$$ is a negative integer, then $$x$$ can be -2, -3, -4, or -5.

Twice the maximum possible value of $$x$$ is $$2*(-2)=-4$$.

The minimum possible value of $$x$$ is $$-5$$.

Thus the answer is $$-4-(-5)=1$$.

Dear Bunuel,

I suggest if you can include an answer choice -8. It is a trap as some would solve: -5*2 +2 = -8.

thanks
Manager
Joined: 16 May 2017
Posts: 52
Location: India

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13 Aug 2017, 04:41
Dear Experts why -1 was not taken as maximum value .only -2 was considered..kindly explain
Math Expert
Joined: 02 Sep 2009
Posts: 49968

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13 Aug 2017, 07:07
alphastallion wrote:
Dear Experts why -1 was not taken as maximum value .only -2 was considered..kindly explain

Because -1 does not satisfy 3 < x^2 < 36.
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03 Oct 2017, 16:16
1
Bunuel wrote:
womsuko wrote:
question is worded very vaguely. please make the question more specific.

Can you please tell me which part is ambiguous? For me the question is clear.

Ambiguous because the phrase suggests that "twice" is an operational adjective describing 1 noun: "the maximum possible value of x minus the minimum possible value of x." In other words, 2(a-b).

Intended meaning can be clarified by rephrasing question as "...what is the difference between twice the maximum possible value of x and the minimum possible value of x" or "...by what amount does the maximum possible value of x exceed the minimum possible value of x" or any other rewording to make it clear that "twice" is an adjective referring solely to the first noun "max{x}".
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Joined: 26 Mar 2013
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03 Oct 2017, 16:32
Bunuel wrote:
If $$x$$ is a negative integer and $$3 \lt x^2 \lt 36$$, then what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

A. $$-12$$
B. $$-9$$
C. $$-3$$
D. $$1$$
E. $$6$$

Brute force with organization will help in this question

$$3 \lt x^2 \lt 36$$
$$3 \lt -2^2 \lt 36$$
$$3 \lt -3^2 \lt 36$$
$$3 \lt -4^2 \lt 36$$
$$3 \lt -5^2 \lt 36$$

$$Max Value = -2$$ & $$Min Value = -5$$

$$Twice Max Value - Min Value = 2 (-2) - (-5) = -4 + 5 = 1$$

Intern
Joined: 25 Sep 2017
Posts: 12
Location: India
Concentration: Strategy, Nonprofit
WE: Web Development (Computer Software)

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21 May 2018, 13:46
I think this is a poor-quality question and I don't agree with the explanation.
Question is ambiguous.
twice max-min could be considered as 2(max-min) or 2max -min
Manager
Joined: 25 Jul 2017
Posts: 97

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01 Aug 2018, 20:59
Bunuel wrote:
If $$x$$ is a negative integer and $$3 \lt x^2 \lt 36$$, then what is the value of twice the maximum possible value of $$x$$ minus the minimum possible value of $$x$$?

A. $$-12$$
B. $$-9$$
C. $$-3$$
D. $$1$$
E. $$6$$

Since, x is a negative integer & 3<x<36, It can take the following values, satisfying the mentioned conditions:

-2,-3,-4, and -5.

Now maximum possible value of x = -2 and
Minimum possible value of x = -5.

Now from the question, we have to calculate the following:
2* (Maximum possible Value of x) - (minimum Possible Value of x)
=> 2* (-2) - (-5)
=> -4 + 5
=> 1

Intern
Joined: 12 Jan 2017
Posts: 36

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23 Aug 2018, 12:47
illthinker wrote:
Bunuel wrote:
womsuko wrote:
question is worded very vaguely. please make the question more specific.

Can you please tell me which part is ambiguous? For me the question is clear.

Ambiguous because the phrase suggests that "twice" is an operational adjective describing 1 noun: "the maximum possible value of x minus the minimum possible value of x." In other words, 2(a-b).

Intended meaning can be clarified by rephrasing question as "...what is the difference between twice the maximum possible value of x and the minimum possible value of x" or "...by what amount does the maximum possible value of x exceed the minimum possible value of x" or any other rewording to make it clear that "twice" is an adjective referring solely to the first noun "max{x}".

Agreed, I spent about 90 sec fumbling over whether "What is the value of twice the maximum possible value of x minus the minimum possible value of x?" meant:
a) 2*(Max - Min), or
b) 2*Max - Min
Intern
Joined: 03 May 2018
Posts: 4
GMAT 1: 640 Q37 V40
GPA: 3.05

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07 Sep 2018, 11:09
I think this is a high-quality question and I agree with explanation.
Re M26-11 &nbs [#permalink] 07 Sep 2018, 11:09
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# M26-11

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