If [x] denotes the greatest integer less than or equal to x then is [x] = 0?
(1) [2x] = 0
(2) [3x] = 0
If n is an integer and f(n) = f(n – 1) – n, what is the value of f (4)?
(1) f(3) = 14
(2) f(6) = -1
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Max (x,y) is defined as the maximum of x and y, and Min(x,y) is defined as the minimum of x and y. What is the average of Max(x,60) and Min(40,x)?
(1) Min(x, 60) = x
(2) Max(40, x) = x
If f(x) = 3x−5 for all x, then what is the value of x?
(1) f(x) = 22
(2) f(x2) = 22
The function f is defined by f(x) = px, where x is an integer and p is a constant. What is the value of f(1)?
(1) f(2) = 81
(2) f(3) = -729
If the symbol ∗ denotes either multiplication or division, what is the value of 6 ∗ 2?
(I) (5 ∗ 5) - (12 ∗ 2) = 1
(II) (9 ∗ 3) - (5 ∗ 5) = 2
For all integers n, the function f is defined by f(n) = an, where a is a constant. What is the value of f(1)?
(1) f(2) = 100
(2) f(3) = -1,000
If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?
(1) If r = s, then r θ s = 0.
(2) If r ≠ s, then r θ s ≠ s θ r.
If x&y = x2 − 2y, what is the value of a&2?
(1) 3&a = 13
(2) The value of a is either 2 or −2.
[x] is the greatest integer less than or equal to x, eg, [1.5] = 1. [m] = ?
(1) m > 2
(2) m < 3
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