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# If a, b, and c are integers, is a greater than b?

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
If a, b, and c are integers, is a greater than b?  [#permalink]

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05 Dec 2016, 03:04
1
6
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Difficulty:

15% (low)

Question Stats:

78% (01:08) correct 22% (00:58) wrong based on 298 sessions

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If a, b, and c are integers, is a greater than b?

(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.

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Re: If a, b, and c are integers, is a greater than b?  [#permalink]

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05 Dec 2016, 03:53
1
Bunuel wrote:
If a, b, and c are integers, is a greater than b?

(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.

FROM 1

/A/ </C/ ...INSUFF no relation between a and b is given

FROM 2

/b/>/c/ ... insuff no relation between a and b is given

both

/a/ </c/ </b/

depends on signs of a, b, c ... insuff

if a = -1 , c = -2 , b = -5 then a>b , but if a = 2 , c = 4 , b = 5 , then b>a

E
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Re: If a, b, and c are integers, is a greater than b?  [#permalink]

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05 Dec 2016, 04:20
1
2
Statement 1: |a|<|C| This can not be sufficient as statement 1 does not talk about b, while we are asked to make the comparison between a and b

Statement 2
: |C|<|b| This can not be sufficient as statement 2 does not talk about a, while we are asked to make the comparison between a and b

Combining both statements :
It gives the condition : |a|<|C|<|b|
a=2, c=-4, b=-6
a=2, c=4, b=6
a=2, c=4, b=-6
The above cases satisfy the condition |a|<|C|<|b|

however, If a=2, c=-4, b=-6 ==> a>b
If a=2, c=4, b=6 ==> a<b

Combining both statements does not resolve the issue, so the correct answer is E.
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Re: If a, b, and c are integers, is a greater than b?  [#permalink]

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07 Mar 2018, 09:53
Bunuel wrote:
If a, b, and c are integers, is a greater than b?

(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.

Given a, b, c = Integers

Question : Is a > b?

St 1 : |a| < |c| Not Sufficient as no information about "b"

St 2 : |b| > |c| Not Sufficient as no information about "a"

Combining I & II we get |b| > |c| > |a|

Take b = - 3 , c = 2, a = 1

Take b = 3, c = 2, a = - 1

(E)
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Re: If a, b, and c are integers, is a greater than b?  [#permalink]

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30 Aug 2018, 11:57
If a, b, and c are integers, is a greater than b?

(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.

1/2. there is no connection between those

Re: If a, b, and c are integers, is a greater than b?   [#permalink] 30 Aug 2018, 11:57
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