OP & Functions (30)S. NoQuestionTopicToughness LevelAnswer to the QuestionWebsite Link1From Sunday to nest Saturday, Mary read (and finished?) a book with 392 pages. After the first day, she read 12 more pages than the previous day. How many pages did she read on Sunday?Operations Problems420http://www.beatthegmat.com/word-problem-t103623.html

A)B)C)D)E)2Let the function g(a, b) = f(a) + f(b).

For which function f below will g(a + b, a + b) = g(a, a) + g(b, b)? Operations Problems3Ehttp://www.beatthegmat.com/functions-algebra-help-t102975.html

A) x+3 B) x^2 C) |x| D) 1/x E) x/4 3The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation? Operations Problems4Dhttp://www.beatthegmat.com/functions-t102958.html

A)1B)5C)7D)8E)114The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation? Operations Problem5Bhttp://www.beatthegmat.com/function-problem-t102358.html

A)1B)5C)7D)8E)115The price of a product manufactured at a company KTM is given by the following formula: P = 6 - 0.03x, where P is the price of a single product, and x is the number of products sold. What is the maximum possible revenue for KTM? Operations Problem3Ehttp://www.beatthegmat.com/max-revenue-t101485.html

A)1000B)600C)400D)300E)1006The function f is defined for all positive integers N by the following rule: f(N) is the number of positive integers each of which is less than N and has no positive factor in common with N other than 1. If P is any prime number then f(P) = Operations Problem3Ahttp://www.beatthegmat.com/function-f-t101322.html

A) P-1 B) P-2 C) (P+1)/2 D) (P-1)/2 E)27A company has two machines, type R and type S. Operating at a constant rate, a machine of type R does the same job in 18 hours. If the company used the same number of each to do the job in 2 hours, how many machines of type R were used?Operations Problem3Chttp://www.beatthegmat.com/how-many-machines-of-type-r-t100849.html

A)3B)4C)6D)9E)128For every positive integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) + 1, then p is: Operations Problem3Ehttp://www.beatthegmat.com/gmat-prep-t97536.html

A)between 2 and 10 B)between 10 and 20 C)between 20 and 30 D)between 30 and 40 E)greater than 409The function f is defined for each positive three-digit integer n by f(n) = 2^x3^y5^z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9f(v), them m-v=? Operations Problem4Dhttp://www.beatthegmat.com/functions-t96686.html

A)8 B)9 C)18 D)20 E)810For which of the following functions is f(a + B) = f(A) + f(B) for all positive numbers a and b? Operation Problems2Ehttp://www.beatthegmat.com/functions-f-a-b-f-a-f-b-for-all-positive-numbers-t3221.html

A)f(x) = x^2 B)f(x) = x + 1 C)f(x) = sqrt x D)f(x) = 2/x E)f(x) = -3x 11For which of the following functions f(a+B)=f(A)+f(B) for all positive numbers of a and b? Operation Problems3Ehttp://www.beatthegmat.com/three-testprep-problems-t3086.html

A)f(x)=x^2 B)f(x)=x+1 C)f(x)=sq.root x D)f(x)=2/x E)f(x)=3x 12For which of the following functions is f(A+B)= f(A) + f(B) for all postive numbers A and B? Operation Problems3Ehttp://www.beatthegmat.com/gmat-prep-exam-question-t3446.html

A)f(x)= X^2 B)f(x)= X+1 C)f(x)=Square root X D)f(x)=2/X E)f(x)= -3X13For which of the following functions is f(x)= f(1-x) for all x Operation Problems3Dhttp://www.beatthegmat.com/gmatprep-t3401.html

A)f(x)= 1-x B)f(x)= 1-x^2 C)f(x)= x^2-(1-x)^2 D)F(x)= x^2(1-x)^2 E)f(x)= x/1-x 14For which of the following function f is f(x) =f(1-x) for all x. Operation Problems3Dhttp://www.beatthegmat.com/function-q-t3364.html

A)f(x)=1-x B)f(x)=1-x^2 C)f(x)=x^2-(1-x)^2 D)f(x)=x^2(1-x)^2 E)f(x)=x/(1-x) 15If for all integers X and Y, what is the value of ?Operation Problems3n/a

A)-2B)17C)-13D)-17E)1316For any integer X greater than 1, = the product of all the integers from 1 through X. (That is, = 1*2*3*4.......*X). How many multiples of 4 are there and inclusiveOperation Problems3n/a

A)5B)6C)20D)24E)2517If for all integers , then what is the value of ?Operation Problems3n/a

A)121B)11C)-1D)1E)-2218When X is even, then = -1; when X is odd, = 2X + 1. Which of the following is equal to ?Operation Problems3n/a

A)B)C)D)E)19If for all integers A and B, that is the value of ?Operation Problems3n/a

A)8B)3C)4D)-4E)-820If for all integers, X and Y, and the value of , what is the value of A ?Operation Problems3n/a

A)2B)5C)6D)10E)421For all A and B, the operation is divided by . If , what is the value of X ?Operation Problems3n/a

A)1B)2C)3D)4E)522For which of the following function is F(a+b) = F(a) + F(b) for all positive numbers a and bOperation Problems3n/a

A)F(X) = X + 5B)F(X) = rootXC)F(X) = -25D)F(X) = 8/XE)F(X) = X223For all even integers n, X(n) is defined to be the sum of the even integers between 2 and n, inclusive. What is the value of ?Operation Problems3n/a

A)2.8B)3C)5D)28E)4024The operation represents any one of the following operations: addition, subtraction, multiplication, or division. What is the value of ?Operation Problems3n/a

A)B)C)D)E)25Operations # is defined as : a # b= 4a2 + 4b2 + 8ab for all non-negative integers. What is the value of (a+b)+3, when a # b = 100 ?Operation Problems3n/a

A)5B)8C)10D)13E)1726For which of the following functions is F(a+b) = f(a) + f(b) for all positive numbers a and b ?Operation Problems3n/a

A)f(x) = x2B)f(x) = x + 1C)f(x) = ^xD)f(x) = 2/xE)f(x) = -3x27If (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 possible values of y such that (16#y) = 1?Operation Problems3n/a

A)8B)9C)16D)23E)2428An operation is defined by the equation , for all numbers a and b such that a -b. If a -c and ac = c, then c = Operation Problems3Green Book Qs

A) -a B) -1/a C)0D)1/aE)a29If the operation is defined by x y = root xy for all positive numbers x and y, then (5 45) 60 =Operation Problems3Green Book Qs

A)30B)60C)90D)30root15E)60root1530If x 0 and x 1, and if x is replaced by 1/x everywhere in the expression above, then the resulting expression is equivalent toOperation Problems3Green Book Qs

A)B)C)D)E)