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# x^3(y^4)=2000 What is y? 1. X is an integer 2. Y is an

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CEO
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x^3(y^4)=2000 What is y? 1. X is an integer 2. Y is an [#permalink]

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26 Nov 2007, 15:06
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?
CEO
Joined: 17 Nov 2007
Posts: 3586
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 573

Kudos [?]: 3974 [0], given: 360

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26 Nov 2007, 15:16
E.

(x^3)*(y^4)=2000

it is obviously that y<>0 and y=+/-|y| for any X and Y.
so 1,2,1&2 - INSUFF

(for 1&2 y=+/-2)
SVP
Joined: 29 Aug 2007
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Kudos [?]: 774 [0], given: 19

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26 Nov 2007, 15:17
bmwhype2 wrote:
x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?

since x and y both are integers, factorization would be useful.

2000 = 2x2x2x2x5x5x5

so, y should be 2.
CEO
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Posts: 2562
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26 Nov 2007, 17:25
bmwhype2 wrote:
x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?

x^3y^4=2*2^3*5^3 ---> x^3*y^4=2^4*5^3.

Now X and y could be non integers so we cant say for certain y^4=2^4.

S1: X=integer. X could be 1 and y^4 could equal the 4th root of 2000. insuff. Or x can be 5 and Y 2

S2: Same thing Y could be 1 or 2.

Together we cannot have either as the 4throot of 2000. So Y must be 2

Suff.

C
VP
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Posts: 1102
Location: London
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26 Nov 2007, 17:37
bmwhype2 wrote:
x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?

E. i guess.
even we say C then
y=+-2
x=5
Director
Joined: 22 Aug 2007
Posts: 567
Followers: 1

Kudos [?]: 56 [0], given: 0

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26 Nov 2007, 18:07
got caught here too,

GMATBLACKBELT wrote:
Ravshonbek wrote:
bmwhype2 wrote:
x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?

E. i guess.
even we say C then
y=+-2
x=5

arghhhh!!!!

E it is
Senior Manager
Joined: 06 Aug 2007
Posts: 363
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Kudos [?]: 34 [0], given: 0

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26 Nov 2007, 20:34
Ravshonbek wrote:
bmwhype2 wrote:
x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?

E. i guess.
even we say C then
y=+-2
x=5

Good point ...I was going with C..
CEO
Joined: 21 Jan 2007
Posts: 2747
Location: New York City
Followers: 11

Kudos [?]: 939 [0], given: 4

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29 Nov 2007, 10:00
GMATBLACKBELT wrote:
bmwhype2 wrote:
x^3(y^4)=2000
What is y?

1. X is an integer
2. Y is an integer

How do i approach this question?

x^3y^4=2*2^3*5^3 ---> x^3*y^4=2^4*5^3.

Now X and y could be non integers so we cant say for certain y^4=2^4.

S1: X=integer. X could be 1 and y^4 could equal the 4th root of 2000. insuff. Or x can be 5 and Y 2

S2: Same thing Y could be 1 or 2.

Together we cannot have either as the 4throot of 2000. So Y must be 2

Suff.

C
.

thanks for laying out the answer.

y^4 ==> even exponent hides the sign of the base.
OA is E
Re: x^3(y^4)=2000   [#permalink] 29 Nov 2007, 10:00
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