Objective Mathematics Part- II

1. The number log20 3 lies in
A. (3/4, 4/5)    B. (1/3, 1/2)    C. (1/2, 3/4)    D. (1/4, 1/3)

2. For x1, x2, y1, y2 Î R, if 0 < x1 < x2, y1 = y2 and z1 = x1 + i y1, z2 = x2 + i y2 and z3 = 1/2(z1 + z2), then z1, z2, and z3 satisfy
A. | z1 | < | z3 | < | z2 |    B. | z1 | > | z2 | > | z3 |    C. | z1 | < | z2 | < | z3 |    D. | z1 | = | z2 | = | z3 |


3. Which of the following is not true in linear programming problem?
A. A column in the simplex table that contains all of the variables in the solution is called pivot or key column.
B. A basic solution which is also in the feasible region is called a basic feasible solution.
C. A surplus variable is a variable subtracted from the left hand side of a greater than or equal to constraint to convert it into an equality.
D. A slack variable is a variable added to the left hand side of a less than or equal to constraint to convert it into an equality.

4. The equation of the circle whose diameter lies on 2x + 3y = 3 and 16x - y = 4 and which passes through (4, 6) is
A. x2 + y2 = 40    B. 5(x2 + y2) - 4x - 8y = 200
C. x2 + y2 - 4x - 8y = 200    D. 5(x2 + y2) - 3x - 8y = 200

5. Let n(A) = 4 and n(B) = 5. The number of all possible injections from A to B is
A. 120    B. 9    C. 24    D. none