NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

• (3, 2) A
• (2, 3) B
• (1, 8) C
• (0, 3) D

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

If you are looking a high point from the ground, then the angle formed is

• Angle of elevation A
• Angle of depression B
• Right angle C
• Horizon D

A point of a solution region where two of its boundary lines intersect, is called

• Boundary A
• Inequality B
• Half Plane C
• Vertex D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None D

• 2 A
• 1 B
• 0 C
• 
  D

If ab > 0 and a < 0, which of the following is negative?

• b A
• -b B
• -a C
• (a - b)² D

If 2 Sin x Cos 2 x = Sin x then?

• 
  A
• 
  B
• 
  C
• 
  D

The curves y = x², y = x intersect at

• (0,0) , (1, 1) A
• (2, 4) B
• 
  C
• (0,3), (-1, 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

• 10 A
• 20 B
• 40 C
• 26 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

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

Which of the following is the equation of a line with slope 0 and passing through the point (4, 3)

• X = 4 A
• X = -4 B
• Y = 3 C
• Y = -6 D