Test: Functions and Custom Characters - GMAT MCQ
10 Questions MCQ Test - Test: Functions and Custom Characters
The operation ? is defined by a?b = 3a - 2b for all integers a and b. If x and y are two integers such that x?y=17, which of the following could be the value of y?
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 5*/4* ?
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Let g be the function defined for all numbers x such that g(x) is the greatest integer that is less than or equal to x. If g(x) = -3, which of the following could be the value of x?
I. -3.0
II. -2.9
III. -2.1
II. -2.9
III. -2.1
If [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?
If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 1?
For all positive integers s and t, s@t represents the remainder when s is divided by t. What is the sum of all the possible values of t for which 18@t = 2?
If [z] denotes the greatest integer less than or equal to z and [z] = -1 which of the following statements must be true?
The function f(m) is defined for all positive integers m as the product of m + 4, m + 5, and m + 6. If n is a positive integer, then f(n) must be divisible by which one of the following numbers?
If [m] is the greatest integer less than or equal to m, what is the value of [−2.2] + [2.6] + [6.2]?
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