NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

What is the domain of y = Cot^-1x?

• Set of irrational number only A
• Set of all real numbers B
• Set of intergers only C
• Set of complex numbers only D

If A = (3, 8) and B = (5, 6), then the distance between A and B is

• 
  A
• 2 B
• 1 C
• 6 D

120 degrees are equal to how many radians?

• 
  A
• 
  B
• 
  C
• 
  D

If the sum of the roots of (a + 1)x²+ (2a + 3)x +(3a+4) = 0 is -1, then product of the roots is

• 1 A
• 2 B
• -2 C
• -1 D

• 
  A
• 
  B
• 
  C
• None D

A relation in which the equality is true only for some values of the unknown variable is called

• An identity A
• An equation B
• A polynomial C
• Inverse function D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• None of these D

• Tan x A
• X B
• - x C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -2 C
• 3 D

• 30° A
• 45° B
• 60° C
• 90° D