NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

• 
  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

• 
  A
• 
  B
• 
  C
• 
  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 constant distance of all points of the cirlce from its centre is called the

• Radius of the circle A
• Secant of the circle B
• Chord of the circle C
• Diameter of the circle D

• 1 A
• 2 B
• 3 C
• 4 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

The nth term in G.P 3,-6,12,....................... is

• 3(-2)^n-1 A
• 2(-2)ⁿ⁺¹ B
• 3(-2)ⁿ C
• 4(-2)^n-1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a statement S(n) is true for n = 1 and the truth of S(n) for n + K implies the truth of S(n) for S(n) = K + 1, then S(n) true for all

• All Real numbers A
• All integers B
• Positive integers C
• All complex numbers D

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• All 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

0 (Zero) is

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