document.write( "Question 165478: If n and k are integers whose product is 400, which of the following statements must be true?\r
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Algebra.Com's Answer #121958 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "(A) n + k > 0\r\n" );
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document.write( "You didn't say the integers had to be positive.\r\n" );
document.write( "so (-400)x(-1) = 400, yet (-400)+(-1)=-401 which is not\r\n" );
document.write( "greater than zero.  So that is not true.  It would have\r\n" );
document.write( "been if the problem had stated \"positive integers\".\r\n" );
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document.write( "(B) n ≠ k \r\n" );
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document.write( "That is not true since 20x20 = 400\r\n" );
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document.write( "(C) Either n or k is a multiple of 10. \r\n" );
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document.write( "That is not true since 16*25 = 400, yet neither\r\n" );
document.write( "16 nor 25 is a multiple of 10. \r\n" );
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document.write( "(D) If n is even, then k is odd. \r\n" );
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document.write( "That is not true since 2*200 = 400.  \r\n" );
document.write( "Both 2 and 200 are even.\r\n" );
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document.write( "(E) If n is odd, then k is even. \r\n" );
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document.write( "That is true since the product of two odd numbers \r\n" );
document.write( "is odd. If both n and k were odd, their product \r\n" );
document.write( "would be odd, not 400.\r\n" );
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document.write( "So the only correct choice is (E).\r\n" );
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document.write( "Edwin

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