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

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Manager
Joined: 29 Nov 2018
Posts: 52
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.99
WE: Engineering (Computer Hardware)
If ∼(x) represents the absolute value of the difference.  [#permalink]

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06 Jan 2019, 20:15
00:00

Difficulty:

45% (medium)

Question Stats:

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

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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)
Manager
Joined: 09 Mar 2018
Posts: 209
Location: India
Re: If ∼(x) represents the absolute value of the difference.  [#permalink]

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06 Jan 2019, 20:37
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

_________________

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Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: If ∼(x) represents the absolute value of the difference.  [#permalink]

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07 Jan 2019, 01:03
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. &nbs [#permalink] 07 Jan 2019, 01:03
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