If x and y are odd integers, which of the following must always be a non-integer?
Set X = even integers and Set Y = odd integers. Therefore X ∩ Y = ______.
If x and y are both positive even integers, which of the following expressions must be even? (Select all such expressions.)
x, 2y, and 2z-1 are consecutive integers.
For all positive integers a and b, let (a|b)=(a-b)/(a+b) If m is a positive integer, what is (m|2m) ?
If a and b are integers and the sum of ab and b is even, which of the following could be true?
Ⅰ. a and b are both odd.
Ⅱ. a is even and b is odd.
Ⅲ. a is odd and b is even.
al, a2, a3, a4, as, …., an
In the sequence of positive integers above, al = a2 = 1, a3 = 2, a4 = 3, and as = 5. If each term after the second is obtained by adding the two terms that come before it and if an = 55, what is the value of n?
How many positive 3-digit integers contain only odd digits?
In writing all of the integers from 1 to 300, how many times is the digit 1 used?
Which of the following integers is divisible by 4 and 6, but is not divisible by 8?