ODD/EVEN Check

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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Fri Oct 28, 2011 1:33 pm

If x is not zero, is x^2 + 2x > x^2 + x?

1)x^odd integer > x^even integer
2)x^2 + x - 12 = 0

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Source: Beat The GMAT — Data Sufficiency | Fri Oct 28, 2011 1:33 pm

Amiable Scholar: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Tue Jun 01, 2010 2:17 am; Thanked: 8 times; GMAT Score:730

by Amiable Scholar » Fri Oct 28, 2011 6:30 pm

x^2 + 2x > x^2 + x
or
is
x > 0

1) x ^ odd integer > x ^ even integer
the statement seems quite ambiguous because nothing is mentioned here about relation between odd integer and even integer. Though it indicates that x^ odd integer must be a positive number. because x^even integer is always positive. so x must be greater then zero.

but the statement cant be true for all possible pair of an odd integer and an even integer.
i.e. if x^3 > x^2 then x^4 > x^3

statement is sufficient as such in this case for telling us the sign of number.

2)x^2 + x -12 =0
or (x+4)(x-3) = 0 => x= -4, 3
one value positive other negative .. so statement 2 is not sufficient itself.

IMO A

Amiable Scholar

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mankey: Legendary Member; Posts: 627; Joined: Thu Jun 23, 2011 9:12 amFollowed by: 1 member; Thanked: 4 times

by mankey » Tue Nov 01, 2011 11:00 am

IMO:A

What is the OA?

Thanks.

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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 » Tue Nov 01, 2011 3:05 pm

Should be A

Anil Gandham
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