Bunuel wrote:
If x and y are different prime numbers less than ten, what must be true about the sum of x and y?
A. the sum is even
B. the sum is odd
C. the sum is less than ten
D. the sum is greater than ten
E. the sum is less than 13
This has to be solved by checking for each option:
Prime numbers less that 10 = 2, 3, 5, 7
A. the sum is even
May or may not be true. x = 3, y, = 5 -> True.
x = 2, y = 3 - True
B. the sum is odd
May or may not be true. x = 3, y, = 5 -> False.
x = 2, y = 3 - True
C. the sum is less than ten
May or may not be true x= 5, y = 7, Sum = 12
x = 2, y = 3. Sum = 5
D. the sum is greater than ten
May or may not be true x= 5, y = 7, Sum = 12
x = 2, y = 3. Sum = 5
E. the sum is less than 13
This will always be true.
Maximum sum = 7 + 5 = 12.
This is always less than 13.
Correct Option: E