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# For any number X, {X} denotes the least non-negative number

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Director
Joined: 29 Nov 2012
Posts: 854
For any number X, {X} denotes the least non-negative number [#permalink]

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04 Sep 2013, 23:16
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66% (01:02) correct 34% (01:19) wrong based on 137 sessions

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For any number X, {X} denotes the least non-negative number y such that X + Y is an integer. What is the value of 8.4 - {8.4}?

a) -0.4
b) 0
c) 0.6
d) 7.8
e) 8.0
[Reveal] Spoiler: OA

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Director
Joined: 14 Dec 2012
Posts: 832
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
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Re: For any number X, {X} denotes the least non-negative number [#permalink]

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04 Sep 2013, 23:27
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fozzzy wrote:
For any number X, {X} denotes the least non-negative number y such that X + Y is an integer. What is the value of 8.4 - {8.4}?

a) -0.4
b) 0
c) 0.6
d) 7.8
e) 8.0

X + Y SHOULD BE NEAREST INTEGER.
8.4+Y = 9
Y= 0.6
THEREFORE
8.4 - {8.4}
$$8.4-0.6= 7.8$$
hence D
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Director
Joined: 29 Nov 2012
Posts: 854
Re: For any number X, {X} denotes the least non-negative number [#permalink]

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04 Sep 2013, 23:35
I think there is more to explain {x} regarding that symbol, there is a similar question ( not exactly similar but similar concept) in OG 13 #104 DS. I'm confused about that part.
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Joined: 10 Oct 2012
Posts: 625
Re: For any number X, {X} denotes the least non-negative number [#permalink]

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04 Sep 2013, 23:44
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fozzzy wrote:
I think there is more to explain {x} regarding that symbol, there is a similar question ( not exactly similar but similar concept) in OG 13 #104 DS. I'm confused about that part.

When you are confused about such questions, you can pick numbers to get a feel:

Take the entire description literally : {x} lets assume x = 7.9. Now as per the definition, {7.9} is nothing but the least non-negative number(y)(note, it can be zero too) for which, x+y would be an integer. Thus, it is easy to see that {7.9} = 0.1. It could have been 1.1 also, had the question not mentioned that it is "the least number".

Hope this helps. You can also post that question specifically (the one in OG) to clear your doubt.
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Director
Joined: 14 Dec 2012
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Concentration: General Management, Operations
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Re: For any number X, {X} denotes the least non-negative number [#permalink]

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04 Sep 2013, 23:45
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fozzzy wrote:
I think there is more to explain {x} regarding that symbol, there is a similar question ( not exactly similar but similar concept) in OG 13 #104 DS. I'm confused about that part.

hi fozzy ,

just checked that qn from OG.

both have different definition for that symbol.

in this qn
{X} denotes the least non-negative number y such that X + Y is an integer
here number can be integer and non integer,but it must be non negative.
example if X = 8.2 then Y = 0.8
if X = 9 THEN Y = 0

HOPE IT HELPS
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Manager
Joined: 03 Aug 2015
Posts: 62
Concentration: Strategy, Technology
Schools: ISB '18, SPJ GMBA '17
GMAT 1: 680 Q48 V35
Re: For any number X, {X} denotes the least non-negative number [#permalink]

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23 Jan 2016, 06:48
fozzzy wrote:
For any number X, {X} denotes the least non-negative number y such that X + Y is an integer. What is the value of 8.4 - {8.4}?

a) -0.4
b) 0
c) 0.6
d) 7.8
e) 8.0

Bunel,

I understood this Q after a bit of struggle. So i would like to practice questions of similar type. Could you kindly share the link for such Q's?

Thanks,
A
Math Expert
Joined: 02 Sep 2009
Posts: 43810
Re: For any number X, {X} denotes the least non-negative number [#permalink]

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23 Jan 2016, 07:11
1
KUDOS
Expert's post
ArunpriyanJ wrote:
fozzzy wrote:
For any number X, {X} denotes the least non-negative number y such that X + Y is an integer. What is the value of 8.4 - {8.4}?

a) -0.4
b) 0
c) 0.6
d) 7.8
e) 8.0

Bunel,

I understood this Q after a bit of struggle. So i would like to practice questions of similar type. Could you kindly share the link for such Q's?

Thanks,
A

Check similar questions in Rounding Functions Questions.
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Joined: 09 Sep 2013
Posts: 13827
Re: For any number X, {X} denotes the least non-negative number [#permalink]

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05 Oct 2017, 10:44
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Re: For any number X, {X} denotes the least non-negative number   [#permalink] 05 Oct 2017, 10:44
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# For any number X, {X} denotes the least non-negative number

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