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# Is a two-digit number XY even? (1) LCM of X and Y is even

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Director
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Is a two-digit number XY even? (1) LCM of X and Y is even [#permalink]

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10 Nov 2005, 16:55
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Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even
_________________

Success is my only option, failure is not -- Eminem

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Manager
Joined: 20 Mar 2005
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Location: Colombia, South America

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10 Nov 2005, 17:07
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

Kudos [?]: 16 [0], given: 0

Director
Joined: 24 Oct 2005
Posts: 572

Kudos [?]: 76 [0], given: 0

Location: NYC

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10 Nov 2005, 17:08
conocieur wrote:
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

THANKS.. that is right.. i was confused between LCM and GCD..
_________________

Success is my only option, failure is not -- Eminem

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Manager
Joined: 05 Oct 2005
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10 Nov 2005, 17:44
plz could you explain why statement 2 is not sufficient
thanks
bewakoof wrote:
conocieur wrote:
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

THANKS.. that is right.. i was confused between LCM and GCD..

_________________

when there is a will there is a way

best regards

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Director
Joined: 24 Oct 2005
Posts: 572

Kudos [?]: 76 [0], given: 0

Location: NYC

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10 Nov 2005, 17:48
mand-y wrote:
plz could you explain why statement 2 is not sufficient
thanks
bewakoof wrote:
conocieur wrote:
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

THANKS.. that is right.. i was confused between LCM and GCD..

if x is even, y can be anything..
x =2, y =3 --> odd
x =2, y = 4 --> even
_________________

Success is my only option, failure is not -- Eminem

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VP
Joined: 06 Jun 2004
Posts: 1050

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Location: CA

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10 Nov 2005, 19:54
bewakoof wrote:
mand-y wrote:
plz could you explain why statement 2 is not sufficient
thanks
bewakoof wrote:
conocieur wrote:
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

THANKS.. that is right.. i was confused between LCM and GCD..

if x is even, y can be anything..
x =2, y =3 --> odd
x =2, y = 4 --> even

2*3 = 6 --> even

The rule says that the product is even if at least one of x and y is even.

So I would go with B.

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Manager
Joined: 04 Sep 2005
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Location: Fringes of the Boreal, Canada

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10 Nov 2005, 20:01
TeHCM wrote:
bewakoof wrote:
mand-y wrote:
plz could you explain why statement 2 is not sufficient
thanks
bewakoof wrote:
conocieur wrote:
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

THANKS.. that is right.. i was confused between LCM and GCD..

if x is even, y can be anything..
x =2, y =3 --> odd
x =2, y = 4 --> even

2*3 = 6 --> even

The rule says that the product is even if at least one of x and y is even.

So I would go with B.

You have to read the question carefully in this one. XY is a two digit number not a product of one another.

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VP
Joined: 06 Jun 2004
Posts: 1050

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10 Nov 2005, 20:18
aikido_fudoshin wrote:
TeHCM wrote:
bewakoof wrote:
mand-y wrote:
plz could you explain why statement 2 is not sufficient
thanks
bewakoof wrote:
conocieur wrote:
bewakoof wrote:
Is a two-digit number XY even?

(1) LCM of X and Y is even
(2) X is even

1) is not enough, for instance 63, 6,3 LCM is 6
2) not enough

together, not enough either as i showed with 63

so i would say E

THANKS.. that is right.. i was confused between LCM and GCD..

if x is even, y can be anything..
x =2, y =3 --> odd
x =2, y = 4 --> even

2*3 = 6 --> even

The rule says that the product is even if at least one of x and y is even.

So I would go with B.

You have to read the question carefully in this one. XY is a two digit number not a product of one another.

A-ha! Tricky tricky! Thanks for pointing that out...........

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Director
Joined: 27 Jun 2005
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11 Nov 2005, 16:39
E

(1) LCM of X and Y is even
X = 2 , Y = 3 LCM 6 even but XY not even False

X = 2 Y= 4 LCM 4 even XY even true

so INsuff

(2) X is even

Insuff

taken together is also not suff cause

hence E

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Senior Manager
Joined: 07 Jul 2005
Posts: 402

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11 Nov 2005, 21:13
(1) Insufficient

Let X = 2 and Y = 3

The LCM(2, 3) = 6

Now, lets try the reversal: Let X = 3 and Y = 2

The LCM(2, 3) = 6

(2) Insufficient

Don't know what Y is.

I pick E.

Kudos [?]: 61 [0], given: 0

11 Nov 2005, 21:13
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