Test: Functions and Custom Characters - GMAT MCQ
10 Questions MCQ Test - Test: Functions and Custom Characters
The function f(n) is defined as the product of all integers from 1 to n, inclusive, and the function g(n) is defined as the product of all odd integers from 1 to n, inclusive, where n is a positive integer. If p is a prime factor of {f(150)/g(150)} + 1, then which of the following must be true?
P* is defined as the number of positive even integers less than P, if P is odd. If P is even, P* is defined as the number of prime integers less than P. What is (5* + 10*)*?
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For any integer m greater than 1, $m denotes the product of all the integers from 1 to m, inclusive. How many prime numbers are there between $7 + 2 and $7 + 10, inclusive?
In the coordinate plane, what is the area of the region enclosed by x ≥ 1, y ≥ 2 and x + y ≤ 5?
The function f(a) is defined for all positive integers an as the number of positive integers which are less than a and have no common factor with an other than 1. What is f(77)?
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {22} + {20}?
Which of the following points is reflected in y = -x at (-2,1)?
For all real numbers x and y, the operation Θ is defined by the equation x Θ y = ax + by + c, where a, b, c are constants. If 3 Θ 5 = 16 and 4 Θ 7 = 30, then what is the value of 1 Θ 1 = ?
If 3f(x) + 2f(-x) = 5x − 10, what is the value of f(1)?
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