If [x] denotes the least integer greater than or equal to x, what is the value of [x+1] = ?
(1) [x] = 1
(2) [2x] = 1
If m # n represents the integer remainder that results when a positive integer m is divided by a positive integer n, what is the value of a positive integer x?
(1) 81 # x = 1
(2) x # 40 = 0
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If # represents one of the operations +,- and *, is a # (b-c) = (a#b) – (a#c) for all numbers a, b and c.
(1) a#1 is not equal to 1#a for some numbers a
(2) # represents subtraction
The functions p*q denotes p + q and the function max (p, q) denotes the maximum value of p and q. For example, 1*2 = 1+2 = 3 and max (1, 2) = 2. What is the value of 2*(Max (p, q))?
(1) Max (5, p) = 6
(2) Max (3, q) = 3
Is f(x) > 0?
(1) f(x) = (x^3)3*(x5)
(2) x = -2
If x, y, z, and n are positive integers and f(n) = f(n - 1) + n, is f(x) - f(y + z) = 0?
(1) x = y + z
(2) f(0) = 1
The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?
(1) 0*2 = 2
(2) 2*0 = 2
For any number x, [x] denotes the least integer greater than or equal to x. Is [w/3] = 4 ?
(1) w < 12
(2) w > 10
If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?
(1) |k| = 3
(2) k < 0