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# If 0 < x < 1, is the hundredths digit of x equal to 9 ?

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Intern
Joined: 05 Nov 2014
Posts: 41
If 0 < x < 1, is the hundredths digit of x equal to 9 ?  [#permalink]

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Updated on: 09 Jun 2015, 11:39
5
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:33) correct 31% (01:37) wrong based on 128 sessions

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If 0 < x < 1, is the hundredths digit of x equal to 9 ?

(1) x + 0.001 < 1
(2) x + 0.008 > 1

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Originally posted by Subanta on 09 Jun 2015, 11:30.
Last edited by Bunuel on 09 Jun 2015, 11:39, edited 1 time in total.
Edited the question and added the OA.
Intern
Joined: 12 Feb 2013
Posts: 21
Re: If 0 < x < 1, is the hundredths digit of x equal to 9 ?  [#permalink]

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09 Jun 2015, 11:49
2
2
From1
x< 1 - 0.001
=> x < 0.999
iso x can be 0.998 or it can be 0.777 or 0.111
so can't say

From 2

x> 1- .008
i.e x> .992
Also given x<1
hence hundreths is always 9..

Hence B

Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: If 0 < x < 1, is the hundredths digit of x equal to 9 ?  [#permalink]

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05 Jul 2018, 02:46
1
Subanta wrote:
If 0 < x < 1, is the hundredths digit of x equal to 9 ?

(1) x + 0.001 < 1
(2) x + 0.008 > 1

1. x+0.001<1
if x =0.998
then x+0.001 < 1 and hundredths digit=9
if x= 0.001
then x+0.001<1 but hundredths digit <> 9
insufficient

2. x+0.008 > 1
the lowest possible value of x in this case is
x>0.992
thus hundredths digit will always be 9 in this case

B
Re: If 0 < x < 1, is the hundredths digit of x equal to 9 ? &nbs [#permalink] 05 Jul 2018, 02:46
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