(x^3 + 19837)(x^2 + 5)(x – 3) an odd number? - The Beat The GMAT Forum

(x^3 + 19837)(x^2 + 5)(x – 3) an odd number?

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Sat Apr 04, 2009 6:03 am

x is a positive integer greater than two; is (x^3 + 19837)(x^2 + 5)(x – 3) an odd number?

(1) the sum of any prime factor of x and x is even

(2) 3 x is an even number

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Source: Beat The GMAT — Data Sufficiency | Sat Apr 04, 2009 6:03 am

ontopofit: Senior | Next Rank: 100 Posts; Posts: 68; Joined: Sun Dec 21, 2008 12:00 am; Thanked: 3 times

by ontopofit » Sat Apr 04, 2009 6:26 am

B

What we should look for in the question is whether x is even or odd.

from 1) x can be 4(even) or 9(odd).so not sufficient.

from 2) we see that x is even, coz even*odd = even and 3 is odd. sufficient.

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