Question:

When S1⊆ S, where S contains at least one element not in S1, S1 is called a —– of S.

A.

power of the set

B.

proper subset

C.

equivalent set

D.

unit set

Answer» b. proper subset

Question:

An initial estimate of an optimal solution is given to be used in conjunction with thesteepest ascent method to determine the maximum of the function. Which of the following statements is correct?

A.

the function to be optimized must be differentiable.

B.

if the initial estimate is different than the optimal solution, then the magnitude of the gradient is nonzero.

C.

as more iterations are performed, the function values of the solutions at the end of each subsequent iteration must be increasing.

D.

all 3 statements are correct.

Answer» d. all 3 statements are correct.

Question:

A ———— is a relation in which each input has only one output.

A.

set

B.

function

C.

equation

D.

all the above

Answer» b. function

Question:

A quadratic equation is an equation of degree

A.

one

B.

two

C.

three

D.

all of the above

Answer» b. two

Question:

If x and y are two variables such that y = f(x) ,for any value of the x there is acorresponding y value, then x is

A.

dependent variable

B.

constant

C.

independent variable

D.

none of the above

Answer» c. independent variable

Question:

If a set consists of a specific number of different elements, it is called

A.

infinite set

B.

finite set

C.

unit set

D.

null set

Answer» b. finite set

Question:

A linear equation in two variables is of the form ax + by + c = 0, where

A.

a=0, b=0

B.

a ≠0, b≠0

C.

both a and b

D.

none of the above

Answer» b. a ≠0, b≠0

Question:

If the rows and columns of a determinant are interchanged, its value will:

A.

change

B.

change sign

C.

not change

D.

become zero

Answer» c. not change

Question:

What is the Cartesian product of A = {1, 2} and B = {a, b}?

A.

{(1, a), (1,

B.

, (2, a), (b, b)} b) {(1, 1), (2, 2), (a, a), (b, b)}

C.

{(1, a), (2, a), (1, b), (2, b)}

D.

{(1, 1), (a, a), (2, a), (1, b)}

Answer» c. {(1, a), (2, a), (1, b), (2, b)}

Question:

On solving x/2 + 5/3 = -1/2, we get x =

A.

-13/3

B.

-3/13

C.

13/3

D.

3/13

Answer» a. -13/3