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

 It is currently 17 Oct 2019, 21:21

### 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

# If ∼(x) represents the absolute value of the difference.

Author Message
Manager
Joined: 29 Nov 2018
Posts: 147
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.99
WE: Engineering (Computer Hardware)
If ∼(x) represents the absolute value of the difference.  [#permalink]

### Show Tags

06 Jan 2019, 21:15
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:05) correct 38% (00:50) wrong based on 8 sessions

### HideShow timer Statistics

If ∼(x) represents the absolute value of the difference between the value of x and the value of x rounded to the nearest integer, which of the following has the greatest value?

∼($$\sqrt{{2}}$$)
∼(pi)
∼(−19/7)
∼($$\sqrt{{80}}$$)
∼(−6.1)
Director
Joined: 09 Mar 2018
Posts: 995
Location: India
Re: If ∼(x) represents the absolute value of the difference.  [#permalink]

### Show Tags

06 Jan 2019, 21:37
ruchik wrote:
If ∼(x) represents the absolute value of the difference between the value of x and the value of x rounded to the nearest integer, which of the following has the greatest value?

∼($$\sqrt{{2}}$$)
∼(pi)
∼(−19/7)
∼($$\sqrt{{80}}$$)
∼(−6.1)

I took the values for $$\sqrt{{2}}$$, $$\sqrt{{80}}$$, and solved each option
~(x) = |x - x(rounded)|

1) $$\sqrt{{2}}$$ = 1.414
~(x) = |x - x(rounded)| =| 1.414 - 1 | = 0.414

2) (pi) = 3.14
~(x) = |x - x(rounded)| =| 3.14 - 3 | = 0.140

3) $$\frac{(−19}{7)}$$ = - 2.714
~(x) = |x - x(rounded)| =| -2.714 + 3 | = 0.286

4) $$\sqrt{{80}}$$ = 6.928
~(x) = |x - x(rounded)| =| 6.928 - 7 | = 0.072

5) (−6.1)
~(x) = |x - x(rounded)| =| -6.1 + 6 | = 0.100

_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Math Expert
Joined: 02 Sep 2009
Posts: 58408
Re: If ∼(x) represents the absolute value of the difference.  [#permalink]

### Show Tags

07 Jan 2019, 02:03
ruchik wrote:
If ∼(x) represents the absolute value of the difference between the value of x and the value of x rounded to the nearest integer, which of the following has the greatest value?

∼($$\sqrt{{2}}$$)
∼(pi)
∼(−19/7)
∼($$\sqrt{{80}}$$)
∼(−6.1)

Discussed here: https://gmatclub.com/forum/if-x-represe ... fl=similar

TOPIC IS LOCKED AND ARCHIVED.
_________________
Re: If ∼(x) represents the absolute value of the difference.   [#permalink] 07 Jan 2019, 02:03
Display posts from previous: Sort by