If x and y are different prime numbers, each greater than 4, which of the following must be true?
I. x+y is an even integer
II. xy is an odd integer
III. (x/y) is not an integer  Choose one
A) III only	B) I,II and III	C) I only	D) II only	E) I,II only
This question tests your knowledge about the effect of addition and multiplication on odd and even numbers:   Even + Even = Even   Odd + Even = Odd   Odd + Odd = Even   Even * Even = Even   Odd * Even = Even   Odd * Odd = Odd   Given: x and y are different prime numbers, both greater than 4   Statement I: x+y is an even integer   Since x and y are prime numbers greater than 4, they will be odd   Therefore sum will be even.   Correct   Statement II: xy is an odd integer   Since x and y are prime numbers greater than 4, they will be odd   Therefore multiplication will be odd.   Correct   Statement III: (x/y) is not an integer   Since x and y are prime integers, therefore they will not have any common factor apart from 1   Hence (x/y) will not be an integer   Correct   Hence all three statements I, II and III are correct   Answer : I,II and III
<result>B</result>
If x and y are different prime numbers, each greater than 4, which of the following must be true?
I. x+y is an even integer
II. xy is an odd integer
III. (x/y) is not an integer