GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 21:44

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
As x decreases from 100 to 99, which of the following must decrease  [#permalink]

### Show Tags

29 Mar 2019, 00:46
00:00

Difficulty:

35% (medium)

Question Stats:

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

### HideShow timer Statistics

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: 7981
Re: As x decreases from 100 to 99, which of the following must decrease  [#permalink]

### Show Tags

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
_________________
Intern
Joined: 22 Mar 2019
Posts: 10
Re: As x decreases from 100 to 99, which of the following must decrease  [#permalink]

### Show Tags

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
Display posts from previous: Sort by