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# If a and b are integers, what is the value of a − b?

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Math Expert
Joined: 02 Sep 2009
Posts: 60630
If a and b are integers, what is the value of a − b?  [#permalink]

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05 Nov 2019, 05:58
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Difficulty:

55% (hard)

Question Stats:

44% (01:04) correct 56% (01:35) wrong based on 32 sessions

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If a and b are integers, what is the value of a − b?

(1) a*b = 1

(2) a + b = 2

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If a and b are integers, what is the value of a − b?  [#permalink]

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Updated on: 05 Nov 2019, 06:54
Bunuel wrote:
If a and b are integers, what is the value of a − b?

(1) a*b = 1

(2) a + b = 2

Are You Up For the Challenge: 700 Level Questions

#1
a*b = 1
a & b can be either both + or - 1
a-b=0 in both cases

sufficient

#2
a+b=2
2+0 ; 1+1
insufficient

IMO A

Originally posted by Archit3110 on 05 Nov 2019, 06:34.
Last edited by Archit3110 on 05 Nov 2019, 06:54, edited 1 time in total.
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Re: If a and b are integers, what is the value of a − b?  [#permalink]

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05 Nov 2019, 06:52
Statement 1 - a*b = 1..

Possibly 1- both a and b are positive (+1)
a-b => 1-1 = 0

Possibility 2 - both a and b are negative (-1)
a-b = -1 -(-1) = -1+1 => 0

In either case, we get a-b = 0, sufficient

Statement 2- a+b = 2

a = 0, b= 2.. a-b = -2
a = 1, b= 1.. a-b = 0.

A.

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Re: If a and b are integers, what is the value of a − b?   [#permalink] 05 Nov 2019, 06:52
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