If x and y are positive integers, is the product x
y even?
1)5x - 4y is even
2)6x +  7y is even
a)Exactly one of the statements can answer the question
b)Both statements are required to answer the question
c)Each statement can answer the question individually

### Related Test

 Nonso Onyiagha Jun 12, 2019
Even + Even = Even
Even - Even = Even
Even * Even = Even
Even * Odd = Even

Number 1 says 5x - 4y is even, according to the above stated rules, the 2 intergers involved must be even to give an even number, you can see that it is correct.

We can see that at least either x or y is even, and the product of an even number and an odd must give an even.

Also number 2 says the multiplication gives even.

The rules gives the answer, any one of the 2 options answers the question.

 Indu Bahl Jan 31, 2020
1) 4y will always be even. Then we have 5x−even=even ,
For this to be the case, 5x must be even. Since 5 can't be even, then x must be even. Thus the product xy will be even. Sufficient.

2) 6x will always be even. Then we have even+7y=even.
Thus 7y is even, and y is even, and xy is even. Sufficient.

Even + Even = EvenEven - Even = EvenEven * Even = EvenEven * Odd = EvenNumber 1 says 5x - 4y is even, according to the above stated rules, the 2 intergers involved must be even to give an even number, you can see that it is correct.We can see that at least either x or y is even, and the product of an even number and an odd must give an even.Also number 2 says the multiplication gives even. The rules gives the answer, any one of the 2 options answers the question.
Even + Even = EvenEven - Even = EvenEven * Even = EvenEven * Odd = EvenNumber 1 says 5x - 4y is even, according to the above stated rules, the 2 intergers involved must be even to give an even number, you can see that it is correct.We can see that at least either x or y is even, and the product of an even number and an odd must give an even.Also number 2 says the multiplication gives even. The rules gives the answer, any one of the 2 options answers the question.