ECAT Pre Engineering MCQ Test With Answer for Chapter 21 Mathematics

The graph of linear equation 2x + 3y = 10

• Parabola A
• Circle B
• Hyperbola C
• Straight line D

• p < r A
• p > rr B
• p + r < 0 C
• p - r < 0 D

A point where two of its boundary lines intersect is called

• Corner point A
• Feasible point B
• Vertex C
• Feasible solution D

3x + 4 < 0 is

• not inequality A
• equation B
• identity C
• inequality D

The solution set of the inequality ax + by < c is

• straight line A
• half plane B
• parabola C
• none of these D

ab > 0 and a > 0 then

• a > b A
• a < b B
• a = b C
• None D

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

• P(x, y) = 20x + 15y A
• P(x, y) = 2x + 3y B
• P(x, y) = x + y C
• P(x, y) = 3x + 2y D

The solution set of x < 4 is

• -∞< x < 4 A
• -∞> x > 4 B
• -∞< x < 2 C
• -∞> x > 2 D

Inequalities have ______ symbol

• 2 A
• 3 B
• 4 C
• 1 D

3x + 4 > 0 is

• equation A
• inequality B
• identity C
• none of these D

A point (x,y) which satisfy a linear inequality in two variables form its

• Solution A
• Domain B
• Range C
• None D

The graph of y < 2 is the

• Left half plane A
• upper half plane B
• Right half plane C
• Lower half plane D

An expression involving any of the symbols <,>,< or > is called

• equation A
• inequality B
• linear equation C
• identity D

x = _________ is in the solution of 2x + 3 < 0

• 0 A
• 2 B
• -1 C
• -2 D

3x + 4 < 0 is

• inequality A
• equation B
• identity C
• not inequality D

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

• Zero A
• one B
• negative constant C
• Non negative constant D

The point ________ is in the solution of the inequality 2x - 3y < 4

• (0, -2) A
• (1, -3) B
• (2, 2) C
• (3, 0) D

r + 3 >5 then which is true

• r + 2 > 4 A
• r + 2 < 4 B
• r + 2 = 4 C
• None D

(1,0) is in the solution of the inequality

• 3x + 2y > 8 A
• 2x - 3y < 4 B
• 2x + 3y > 3 C
• x - 2y < -5 D

The corner point of the boundary lines, x- 2x

x+2y=10 is:

• (8,1) A
• (1,8) B
• (6,10) C
• (3,5) D

The real numbers which satisfy an inequality form its

• solution A
• coefficient B
• domain C
• range D

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

• x - y = -6 A
• x - y < -6 B
• x - y > -6 C
• None D

If 4 - x >5, then

• x > 1 A
• x > -1 B
• x < 1 C
• x < -1 D

x = ________ is in the solution of 2x + 3 > 0

• 1 A
• -2 B
• -3 C
• -4 D

Optimal solution is found by evaluation the objective function at

• All point of feasible region A
• Corner point B
• Origin C
• None D

ax + by < c is linear inequality in

• four variables A
• three variables B
• two variables C
• one variable D

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

• 46 A
• 60 B
• 50 C
• 70 D

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

• (1,4) A
• (4,2) B
• (3,1) C
• (4,1) D

(1, 2) is in the solution of the inequality

• 2x + y > 8 A
• 2x + y < 6 B
• 2x - y > 1 C
• 2x + 3y < 2 D

(2, 1) is in the solution of the inequality

• 2x + y > 7 A
• x - y > 2 B
• 3x + 5y < 6 C
• 2x + y < 6 D