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If x, y, and z are three integers, are they consecutive integers? (1) 05 Sep 2022, 23:31
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B
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15% (low)

Question Stats:

76% (01:03) correct 24% (01:28) wrong based on 55 sessions

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If x, y, and z are three integers, are they consecutive integers?

(1) x − z = 2
(2) x − y = y − z = 1


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B
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If x, y, and z are three integers, are they consecutive integers? (1) 06 Sep 2022, 00:39
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#1
x − z = 2
z,y,x can be 1,1,3
or 1,2,3
y is not known insufficient
#2
x − y = y − z = 1
means x>y>z and difference of mean from x & z is 1 x,y,z are consecutive
sufficient
option B


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If x, y, and z are three integers, are they consecutive integers?

(1) x − z = 2
(2) x − y = y − z = 1


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If x, y, and z are three integers, are they consecutive integers? (1) 06 Sep 2022, 01:03
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If x, y, and z are three integers, are they consecutive integers?

(1) x − z = 2
(2) x − y = y − z = 1


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Similar questions:
https://gmatclub.com/forum/if-x-y-and-z ... 65410.html
https://gmatclub.com/forum/if-x-y-and-z ... 55127.html
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If x, y, and z are three integers, are they consecutive integers? (1) 06 Sep 2022, 23:44
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If x, y, and z are three integers, are they consecutive integers?

(1) x − z = 2
(2) x − y = y − z = 1

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For 3 integers to be consecutive integers, the difference between the 2 consecutive pairs needs to be 1
For example: 1,2,3: Difference 1,2 = 1; Difference 2,3 = 1

(1) x − z = 2

If x=3, y=2, z=1, Then YES, Consecutive Integers
If x=3, y=10, z=1, Then NO, not consecutive integers

NOT SUFFICIENT

(2) x − y = y − z = 1

This implies that firstly x > y > z and difference between x and y as well as difference between y and z is equal to 1
Which means that x and y are consecutive integers; Which also means that y and z are consecutive integers
Thus, x, y, z are CONSECUTIVE INTEGERS

SUFFICIENT

Answer - B
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