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# As x decreases from 100 to 99, which of the following must decrease

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Senior Manager
Joined: 18 Feb 2019
Posts: 284
Location: India
GMAT 1: 490 Q47 V13
GPA: 3.6
As x decreases from 100 to 99, which of the following must decrease  [#permalink]

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29 Mar 2019, 00:46
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:59) correct 29% (01:30) wrong based on 28 sessions

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As x decreases from 100 to 99, which of the following must decrease

I. 5x-12
II. (x+1)/x
III. 1/(x^3-x)

A. I Only
B. II Only
C. III Only
D. I and II
E. I and III
Math Expert
Joined: 02 Aug 2009
Posts: 7575
Re: As x decreases from 100 to 99, which of the following must decrease  [#permalink]

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29 Mar 2019, 00:57
1
kiran120680 wrote:
As x decreases from 100 to 99, which of the following must decrease

I. 5x-12
II. (x+1)/x
III. 1/(x^3-x)

A. I Only
B. II Only
C. III Only
D. I and II
E. I and III

We have fractions too.. If the numerator decreases, fraction will decrease and if denominator decreases, the fraction will increase..
Read in detail in the attached post as shown below.
I. 5x-12 .. say denominator is 1, so (5x-12)/1.. N decreases, value decreases.. YES
II. $$\frac{(x+1)}{x}=1+\frac{1}{x}$$... Now in 1/x, denominator decreases, value increases...NO
III. $$\frac{1}{(x^3-x)}$$.... Now here too, denominator decreases, value increases...NO

Only I, so A is the answer
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Intern
Joined: 22 Mar 2019
Posts: 11
Re: As x decreases from 100 to 99, which of the following must decrease  [#permalink]

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31 Mar 2019, 20:43
Can we classify this question as over 700 level difficulty?
Re: As x decreases from 100 to 99, which of the following must decrease   [#permalink] 31 Mar 2019, 20:43
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