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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Tue Feb 09, 2010 7:11 am

The cubic equation x3 - Ax2 + Bx - C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?

If C is an even number then B must be an even number
If B is an even number then A must be an even number.
If A is an even number then C must be an even number.
If C is an odd number then A must be an even number.
None of the above.

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Source: Beat The GMAT — Problem Solving | Tue Feb 09, 2010 7:11 am

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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 » Tue Feb 09, 2010 7:23 am

shashank.ism wrote:The cubic equation x3 - Ax2 + Bx - C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?

If C is an even number then B must be an even number
If B is an even number then A must be an even number.
If A is an even number then C must be an even number.
If C is an odd number then A must be an even number.
None of the above.

Out of scope - not required material for the GMAT

Brent Hanneson - Creator of GMATPrepNow.com

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Tue Feb 09, 2010 7:26 am

Brent Hanneson wrote:
shashank.ism wrote:The cubic equation x3 - Ax2 + Bx - C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?

If C is an even number then B must be an even number
If B is an even number then A must be an even number.
If A is an even number then C must be an even number.
If C is an odd number then A must be an even number.
None of the above.
Out of scope - not required material for the GMAT

hmm..ok thnx brent.. so we should leave questions of 3rd degree.polynomial..
..guys leave it..

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