NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

The sum of the series 1+5+9+13+17+21+25+29 is

• 140 A
• 130 B
• 120 C
• 110 D

• 
  A
• 
  B
• 
  C
• -2-i 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

• 
  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

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

• 
  A
• 2 B
• 1 C
• 6 D

A vector of magnitude zero is called

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

• 15 A
• 15 i B
• -15 i C
• -15 D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If Z = (1,2), then Z^-1= ?

• (0.2, 0.4) A
• (-0.2, 0.4) B
• (0.2 , -0.4) C
• (-0.2, -0.4) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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