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# What is the value of x? 1. x^4 = |x| 2. x^2 > x

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CEO
Joined: 21 Jan 2007
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What is the value of x? 1. x^4 = |x| 2. x^2 > x [#permalink]

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05 Dec 2007, 04:14
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the value of x?

1. x^4 = |x|
2. x^2 > x

Kudos [?]: 1046 [0], given: 4

Manager
Joined: 11 Aug 2007
Posts: 64

Kudos [?]: 19 [0], given: 0

Re: Exponents and Abs Val [#permalink]

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05 Dec 2007, 04:59
bmwhype2 wrote:
What is the value of x?

1. x^4 = |x|
2. x^2 > x

I got C:

from st.1 x could be -1, 0, or 1. INSUFF
from st.2 x<0>1. INSUFF

if combined: x=-1

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Senior Manager
Joined: 09 Oct 2007
Posts: 463

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05 Dec 2007, 08:55
I agree on C, but I don't think x could be 0 on statement in either statement.
0^4 = 1?
0^2 > 0?

Or am I missing something?

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Director
Joined: 08 Jun 2007
Posts: 575

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Re: Exponents and Abs Val [#permalink]

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05 Dec 2007, 20:09
elgo wrote:
bmwhype2 wrote:
What is the value of x?

1. x^4 = |x|
2. x^2 > x

I got C:

from st.1 x could be -1, 0, or 1. INSUFF
from st.2 x<0>1. INSUFF

if combined: x=-1

x = -1 doesnt satisfy stmnt 2
i think its E.

Kudos [?]: 109 [0], given: 0

Director
Joined: 12 Jul 2007
Posts: 857

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Re: Exponents and Abs Val [#permalink]

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05 Dec 2007, 20:13
ashkrs wrote:
elgo wrote:
bmwhype2 wrote:
What is the value of x?

1. x^4 = |x|
2. x^2 > x

I got C:

from st.1 x could be -1, 0, or 1. INSUFF
from st.2 x<0>1. INSUFF

if combined: x=-1

x = -1 doesnt satisfy stmnt 2
i think its E.

Sure it does.

if x = -1 then statement 2 would be

(-1)^2 > -1
1 > -1 works fine

but you still need statement 1 to narrow it down to 1 and -1, so the answer is C.

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Current Student
Joined: 28 Dec 2004
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Schools: Wharton'11 HBS'12

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05 Dec 2007, 21:10
I get C too..same reason as posted by others

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Manager
Joined: 11 Aug 2007
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06 Dec 2007, 13:09
asdert wrote:
I agree on C, but I don't think x could be 0 on statement in either statement.
0^4 = 1?
0^2 > 0?

Or am I missing something?

Why 0^4=1?

0*0*0*0=?

Kudos [?]: 19 [0], given: 0

Manager
Joined: 26 Sep 2007
Posts: 65

Kudos [?]: 26 [0], given: 5

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06 Dec 2007, 13:37
It's C

From statement 1, we get x = -1,0,1 (Insufficient)
From statement 2, we get x>1 and x<0 (Insufficient)

Missed x<0 for statement 2, so it should be C

So, combining both we get x = -1

Kudos [?]: 26 [0], given: 5

Manager
Joined: 11 Aug 2007
Posts: 64

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06 Dec 2007, 13:53
sevenplus wrote:
It's E

From statement 2, we get x>1 (Insufficient)

So, combining both not sufficient.

Nope. from st.2 we get x>1 AND x<0

Last edited by elgo on 06 Dec 2007, 13:56, edited 1 time in total.

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CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1046 [0], given: 4

Location: New York City

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06 Dec 2007, 13:55
elgo wrote:
asdert wrote:
I agree on C, but I don't think x could be 0 on statement in either statement.
0^4 = 1?
0^2 > 0?

Or am I missing something?

Why 0^4=1?

0*0*0*0=?

zero base raised to any power is zero
any base raised to zero power is 1.

Kudos [?]: 1046 [0], given: 4

06 Dec 2007, 13:55
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