NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

A die is thrown. What is the probability that there is a prime number on the top?

• 1/2 A
• 1/3 B
• 1/6 C
• 2/3 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

3/2 is

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

A standard deck of 52 cards is shuffled. What is the probability of choosing the queen of the diamonds

• 1/5 A
• 1/13 B
• 5/52 C
• 1/52 D

A fraction in which the degree of the numerator is less than the degree of the denominator is called

• Polynomial A
• Proper fraction B
• Rational fraction C
• Mixed fraction D

The equation of the normal to the circle x²+ y²= 25 at(4, 3) is

• 3x - 4y = 0 A
• 3x - 4y = 5 B
• 4x + 3y = 5 C
• 4x + 3y = 25 D

The sum of the interior angles for a 16 sided polygon is

• 4 pie A
• 14 pie B
• 8 pie C
• 2 pie 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

• 2 A
• 1 B
• 3 C
• 4 D

If 1 + Cos x = 0, then x =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

• Parabola A
• Circle B
• Hyperbola C
• Ellipse D

The perpendicular bisector of any chord of a circle

• Passes through the centre of the cirle A
• Does not pass through the centre of the circle B
• May or may not pass through the centre of the cirlce C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D