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# If x and y are integers, what is the value of x+y?

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If x and y are integers, what is the value of x+y? [#permalink]

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12 Apr 2011, 06:16
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If x and y are integers, what is the value of x+y?

(1) 690 < x < y < 696
(2) 692 < x < y< 695
[Reveal] Spoiler: OA

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Last edited by Bunuel on 04 Mar 2015, 03:39, edited 1 time in total.
Edited the question and added the OA.
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Re: If x and y are integers, what is the value of x+y? [#permalink]

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12 Apr 2011, 06:20
1
KUDOS
(1)
x = 691, y = 692

x = 692, y = 693

Not sufficient

(2)

x = 693, y = 694

Only combination possible, so sufficient

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Re: If x and y are integers, what is the value of x+y? [#permalink]

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12 Apr 2011, 06:21
1
KUDOS
Baten80 wrote:
If x and y are integers, what is the value of x+y?
1) 690 < x < y < 696
2) 692 < x < y< 695

1)
x can be 691,692,693,694
y can be 692,693,694,695
Not Sufficient.

2)
x=693
y=694
x+y=1387
Sufficient.

Ans: "B"
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Re: If x and y are integers, what is the value of x+y? [#permalink]

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04 Mar 2015, 00:14
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Re: If x and y are integers, what is the value of x+y? [#permalink]

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29 Dec 2015, 08:01
but they haven't mentioned that x and y are distinct integers... that's why I chose E. In many questions I have seen in the past, the absence of the word 'distinct' is usually taken quite strictly (and if I am not wrong, those questions use 'x' and 'y' too). Can someone please explain to me why we overlooked the possibility that x and y are 1 integer. Thanks
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Kudos [?]: 155 [0], given: 36

If x and y are integers, what is the value of x+y? [#permalink]

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18 Jul 2016, 05:05
Baten80 wrote:
If x and y are integers, what is the value of x+y?

(1) 690 < x < y < 696
(2) 692 < x < y< 695

If x and y are integers, what is the value of x+y?

(1) 690 < x < y < 696
Five possible values {691,692,693,694, 695} and only two variable x and y
Many combinations of these values for x and y are possible
INSUFFICIENT

(2) 692 < x < y< 695
Two possible values 693,694
additionally y has to be the bigger than x since y>x (this condition also makes sure that x and y are unique)
so y=694 and x =693
SUFFICIENT

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Kudos [?]: 5 [1] , given: 5

Re: If x and y are integers, what is the value of x+y? [#permalink]

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19 Jul 2016, 01:08
1
KUDOS
sarathvr wrote:
but they haven't mentioned that x and y are distinct integers... that's why I chose E. In many questions I have seen in the past, the absence of the word 'distinct' is usually taken quite strictly (and if I am not wrong, those questions use 'x' and 'y' too). Can someone please explain to me why we overlooked the possibility that x and y are 1 integer. Thanks

In the question it is mentioned that 692<x<y<695
x<y it is only possible when they are distinct
if they are not distinct it cannot be x<y it would be x=y.
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Re: If x and y are integers, what is the value of x+y? [#permalink]

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17 Sep 2016, 08:17
B

(1) NOT SUFFICIENT

We know values cannot be 690 and 696, but that leaves 691-695 as choices for values of x and y

(2) SUFFICIENT

692 and 695 are eliminated as options, leaving us with 693 and 694. We know x < y, so 693 +694 = 1387
Re: If x and y are integers, what is the value of x+y?   [#permalink] 17 Sep 2016, 08:17
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