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

The direction cosines of y-axis are

• 1,0,0 A
• 0,1,0 B
• 0,0,1 C
• 1,1,1 D

The graph of a quadratic function is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

The center of a circle of radius 10 is on the origin. Which of the following points lies with in the circle

• (10, 0) A
• (8, 8) B
• (8, 4) C
• (0, 10) 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 the 19th term of A.P is 8 and the 4th term is 20, then the first term is

• 20.2 A
• 25.5 B
• 27.5 C
• 37.5 D

• 30° A
• 45° B
• 60° C
• 90° D

If A and B are matrices such that AB=BA=I then

• A and B are multiplicative inverse of each other
  A
• A and B are additive inverses of each other
  B
• . A and B are singular matrices C
• A and B are equal D

• 
  A
• 
  B
• 
  C
• None of these D

If 1 + Cos x = 0, then x =

• 
  A
• 
  B
• 
  C
• 
  D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

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