NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

• Nilpotent matrix A
• Singular matrix B
• Non singular matrix C
• Diagonal matrix D

If 4 - x > 5, then

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

If in isosceles right angled triangle, one side is a then hypotenuse is

• 
  A
• 
  B
• a C
• cannot be determined by given information D

• 1 A
• 2 B
• 3 C
• 4 D

The conic is a parabola if

• e < 1 A
• e > 1 B
• e = 1 C
• e = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

If c is a constant number and if f is the function defined by the equation f(x) = c for all values of x, then f is differentiable at every x and f is defined the equation f(x) = _________

• f A
• 1 B
• C C
• 0 D

A vector of magnitude zero is called

• Position vector A
• Null vector B
• Free vector C
• None of these D

• 0 A
• -25 B
• 5 C
• 45 D

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

• Same as the original determinant A
• Additive inverse of the original determinant
  B
• Both A and B C
• Adj of the original matrix D