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# If 2.5 < x < 4.5, is the tenths digit of the decimal representation of

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Math Expert
Joined: 02 Sep 2009
Posts: 49251
If 2.5 < x < 4.5, is the tenths digit of the decimal representation of  [#permalink]

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06 Oct 2015, 05:51
00:00

Difficulty:

65% (hard)

Question Stats:

62% (01:21) correct 38% (01:42) wrong based on 154 sessions

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If 2.5 < x < 4.5, is the tenths digit of the decimal representation of x equal to 4?

(1) x + 0.006 < 4.5
(2) x + 0.06 > 4.5

Kudos for a correct solution.

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Re: If 2.5 < x < 4.5, is the tenths digit of the decimal representation of  [#permalink]

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06 Oct 2015, 07:40
1
1
Bunuel wrote:
If 2.5 < x < 4.5, is the tenths digit of the decimal representation of x equal to 4?

(1) x + 0.006 < 4.5
(2) x + 0.06 > 4.5

Kudos for a correct solution.

Given : If 2.5 < x < 4.5

Question : is the tenths digit of the decimal representation of x equal to 4?

Statement 1: x + 0.006 < 4.5
i.e. x < 4.494
i.e. x may be 4.493 or 4.3 hence Tenths digit may or may not be 4. Hence,
NOT SUFFICIENT

Statement 2: x + 0.06 > 4.5
i.e. x > 4.44
i.e. x may be from 4.45 or 4.49999 hence Tenths digit must be 4. Hence,
SUFFICIENT

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Re: If 2.5 < x < 4.5, is the tenths digit of the decimal representation of  [#permalink]

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29 Sep 2016, 06:50
Bunuel wrote:
If 2.5 < x < 4.5, is the tenths digit of the decimal representation of x equal to 4?

(1) x + 0.006 < 4.5
(2) x + 0.06 > 4.5

Kudos for a correct solution.

straight B, under 1 minute...

1. x can be 3.3 or 3.4 - not sufficient.
2. if x+0.06 > 4.5, then x>4.5-0.06
or x>4.44
since 4.44<x<4.5, we know for sure that tenths digit of x is 4.

2 is sufficient.
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Joined: 09 Sep 2013
Posts: 8095
Re: If 2.5 < x < 4.5, is the tenths digit of the decimal representation of  [#permalink]

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07 Oct 2017, 14:48
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