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# x is one of the numbers: 3 or 6. Is xy equal to 12 ? (1)

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Director
Joined: 23 Apr 2010
Posts: 547
x is one of the numbers: 3 or 6. Is xy equal to 12 ? (1)  [#permalink]

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08 Oct 2011, 01:10
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Difficulty:

55% (hard)

Question Stats:

48% (01:30) correct 52% (01:38) wrong based on 52 sessions

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x is one of the numbers: 3 or 6. Is xy equal to 12 ?

(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

Can someone please explain whether on the GMAT "either or" means logical OR or logical XOR as in the example above?

Thanks.
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Re: Either... or ... meaning  [#permalink]

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08 Oct 2011, 02:29
nonameee wrote:
x is one of the numbers: 3 or 6. Is xy equal to 12 ?

(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

Can someone please explain whether on the GMAT "either or" means logical OR or logical XOR as in the example above?

Thanks.

x is either 3 or 6. Lets deal with each statement now

A) if x equals 3 is TRUE . then y not equal 2 is false or it means y=2. Thus x=3 and y=3 => xy=6.
if y does not equal to 2 is true,then x = 3 is false or x=6 (x is either 3 or 6 ).
x=6 and y is not equal to 2, thus xy is not equal to 12. Sufficient

Now lets see the next statement
B) If x = 6 is true. Then y not equal to 4 is false or it means y=4. Thus, xy=24.
if y does not equal to 4 is true, x equals 6 is false or x=3 (x is either 3 or 6 ).
x=3 and y is not equal to 4, thus xy not equal to 12. Sufficient

Let me know if you have any questions.
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Re: Either... or ... meaning  [#permalink]

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08 Oct 2011, 03:23
1
nonameee wrote:
x is one of the numbers: 3 or 6. Is xy equal to 12 ?

(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

Can someone please explain whether on the GMAT "either or" means logical OR or logical XOR as in the example above?

Thanks.

x= 3 OR 6

(1)
x=3, y=4; xy=12
x=3, y=5; xy=15
Not Sufficient.

(2)
x=6, y=2; xy=12
x=6, y=3; xy=18
Not Sufficient.

Combined;
x=3; y!=4; xy != 12;
x=6; y!=2; xy != 12;
So,
"xy" will never be equal to 12.
Sufficient.

Ans: "C"
************************

Either A or B means;
A
OR
B
OR
Both A and B.
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Re: Either... or ... meaning  [#permalink]

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08 Oct 2011, 04:51
nonameee wrote:
x is one of the numbers: 3 or 6. Is xy equal to 12 ?

(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

Can someone please explain whether on the GMAT "either or" means logical OR or logical XOR as in the example above?

Thanks.

Kind of Logical XOR. Only one of the parts can be true.
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Joined: 20 Dec 2010
Posts: 1810
Re: Either... or ... meaning  [#permalink]

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08 Oct 2011, 09:40
1
GMATmission wrote:
(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

Combined;
x=3; y!=4; xy != 12;
x=6; y!=2; xy != 12;
So,
"xy" will never be equal to 12.
Sufficient.
Dint get this part. Can you explain in detail the logic behind it?

Ans: "C"
************************

Either A or B means;
A
OR
B
OR
Both A and B.
[/quote]

(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

We need to make sure that at least ONE PART in both statement is true.
So, If x=3; we have taken care of statement 1. We need to take one part of Statement 2 correct as well. As we considered x to be 3; x can definitely not be 6. So, from statement 2, the latter part must also be true. i.e. y != 4

Same holds good for
x=6(from statement 1); Latter part of statement 1(y != 2)
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Re: Either... or ... meaning  [#permalink]

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08 Oct 2011, 12:12
Fluke, thanks a lot. Very good as always.

Quote:
Kind of Logical XOR. Only one of the parts can be true.

Actually it's OR, not XOR. XOR is an exclusive OR when only one part can be true for the statement to be true.
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Re: Either... or ... meaning  [#permalink]

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08 Oct 2011, 16:19
fluke wrote:
GMATmission wrote:
(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

Combined;
x=3; y!=4; xy != 12;
x=6; y!=2; xy != 12;
So,
"xy" will never be equal to 12.
Sufficient.
Dint get this part. Can you explain in detail the logic behind it?

Ans: "C"
************************

Either A or B means;
A
OR
B
OR
Both A and B.

(1) Either x equals 3 or y does not equal 2.
(2) Either x equals 6 or y does not equal 4.

We need to make sure that at least ONE PART in both statement is true.
So, If x=3; we have taken care of statement 1. We need to take one part of Statement 2 correct as well. As we considered x to be 3; x can definitely not be 6. So, from statement 2, the latter part must also be true. i.e. y != 4

Same holds good for
x=6(from statement 1); Latter part of statement 1(y != 2)[/quote]

oh..right..got it now. Thanks for breaking down the explanation fluke. Kudos to you for this.
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Re: Either... or ... meaning  [#permalink]

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10 Oct 2011, 06:08
Great explanation, fluke
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Re: x is one of the numbers: 3 or 6. Is xy equal to 12 ? (1)  [#permalink]

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22 Jan 2018, 03:05
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Re: x is one of the numbers: 3 or 6. Is xy equal to 12 ? (1) &nbs [#permalink] 22 Jan 2018, 03:05
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