For all nonnegative numbers a, let *a be defined by
.
If *a = 2, what is the value of a?
Let a !! b be defined as
,
where b
0. What is the value of 1 !! 2 ?
Let # be defined by x # y =
.
If x # 3 = a, y # 3 = b, and x + y = 3, what is the value of a multiplied by b ?
For all positive integers m and n, let m " n be defined as the whole remainder where m is divided by n. If 6 " n = 1, what is the value of n?
If 12 out of 20 problems on a test were correct, what percent of all problems are wrong?
For all integers I greater than 1
"I" =
+ I (I) =
- I.
What is the value of "4" - (2)
If two middle digits of a number 1234 are interchanged, the resulting number is
3, 4, 7, 11 ...
Find the eighth term in this sequence.
If
, then x =