Value of p

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members; Thanked: 165 times

by karthikpandian19 » Wed Jan 04, 2012 9:43 pm

If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2

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Source: Beat The GMAT — Data Sufficiency | Wed Jan 04, 2012 9:43 pm

rijul007: Legendary Member; Posts: 588; Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members; Location: New Delhi, India; Thanked: 130 times; GMAT Score:720

by rijul007 » Wed Jan 04, 2012 10:05 pm

karthikpandian19 wrote:If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2

(1) (|p|!)^p = |p|!

this is true for p = 1 or -1

Insufficient

(2) p^p = p^2

p^p = p^2

This is true for p = 1 or 2

Combining two statements
p = 1

Option C

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Thu Jan 05, 2012 1:49 am

rijul007 wrote:
karthikpandian19 wrote:If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2
(1) (|p|!)^p = |p|!
this is true for p = 1 or -1
Insufficient

An addition to Rijul's solution, The value of p can also be '0' from statement 1
(|0|!)^0 = |0|!
1^0 = 1
1=1

Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/

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santhoshsram: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Wed Oct 26, 2011 2:30 pm; Thanked: 7 times

by santhoshsram » Thu Jan 05, 2012 7:20 pm

neelgandham wrote:
rijul007 wrote:
karthikpandian19 wrote:If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2
(1) (|p|!)^p = |p|!
this is true for p = 1 or -1
Insufficient
An addition to Rijul's solution, The value of p can also be '0' from statement 1
(|0|!)^0 = |0|!
1^0 = 1
1=1

Just curious. Trying to plug 0 in (2), we get 0^0 on the LHS. Is 0^0 indeterminate or 1 on GMAT?

-- Santhosh S

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members; Thanked: 165 times

by karthikpandian19 » Thu Jan 05, 2012 7:27 pm

If it is takes ZERO then there will be 2 solutions and the answer shld be E????

Is that right?

neelgandham wrote:
rijul007 wrote:
karthikpandian19 wrote:If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2
(1) (|p|!)^p = |p|!
this is true for p = 1 or -1
Insufficient
An addition to Rijul's solution, The value of p can also be '0' from statement 1
(|0|!)^0 = |0|!
1^0 = 1
1=1

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rijul007: Legendary Member; Posts: 588; Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members; Location: New Delhi, India; Thanked: 130 times; GMAT Score:720

by rijul007 » Thu Jan 05, 2012 11:01 pm

karthikpandian19 wrote:If it is takes ZERO then there will be 2 solutions and the answer shld be E????

Is that right?
neelgandham wrote:
rijul007 wrote:
karthikpandian19 wrote:If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2
(1) (|p|!)^p = |p|!
this is true for p = 1 or -1
Insufficient
An addition to Rijul's solution, The value of p can also be '0' from statement 1
(|0|!)^0 = |0|!
1^0 = 1
1=1

st(1) would give p= -1, 0 or 1
st(2) would give p = 1 or 2

After Combining the two statements
we get p = 1

So option C should be the ans

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members; Thanked: 165 times

by karthikpandian19 » Fri Jan 06, 2012 4:02 am

Got it

i checked OA is C

rijul007 wrote:
karthikpandian19 wrote:If it is takes ZERO then there will be 2 solutions and the answer shld be E????

Is that right?
neelgandham wrote:
rijul007 wrote:
karthikpandian19 wrote:If p is an integer, what is the value of p?
(1) (|p|!)^p = |p|!
(2) p^p = p^2
(1) (|p|!)^p = |p|!
this is true for p = 1 or -1
Insufficient
An addition to Rijul's solution, The value of p can also be '0' from statement 1
(|0|!)^0 = |0|!
1^0 = 1
1=1
st(1) would give p= -1, 0 or 1
st(2) would give p = 1 or 2

After Combining the two statements
we get p = 1

So option C should be the ans

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[email protected]: Legendary Member; Posts: 934; Joined: Tue Nov 09, 2010 5:16 amFollowed by: 14 members; Location: AAMCHI MUMBAI LOCAL; Thanked: 63 times

by [email protected] » Sun Jan 22, 2012 5:17 am

Yes the correct answer is C...

Statement 1: The possible values could be {-1, 0, 1}

Statement 2: The possible values are {1 , 2}

Using Both statements:

The correct answer comes down to C...

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sun Jan 22, 2012 6:01 am

santhoshsram wrote: Just curious. Trying to plug 0 in (2), we get 0^0 on the LHS. Is 0^0 indeterminate or 1 on GMAT?

Hi santhoshsram,

That's a difficult (even contentious) question to answer.
Some will say that 0^0 = 1, and that's fine. I think it's safe to say that you don't need to worry about it. The GMAT will not test you on the value of 0^0.

For more, please see https://www.beatthegmat.com/what-is-the- ... 27026.html

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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