NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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

If in isosceles right angled triangle, one side is a then hypotenuse is

• 
  A
• 
  B
• a C
• cannot be determined by given information D

The difference of two consecutive terms of an A.P. is called

• Constant of series A
• Common ratio B
• Common difference C
• General term 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 A
• C²/AB B
• A²/BC C
• B²/AC D

• 0 A
• 1 B
• -1 C
• 2 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 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

• 
  A
• 
  B
• 
  C
• 
  D

Which is an explicit function

• 
  A
• 
  B
• 
  C
• All D

A function F(x) is called even if

• F(x) = F(-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

Ifα andβ be irrational roots of a quadratic equation, then

• 
  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

The graph of a quadratic function is

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

• 
  A
• 
  B
• 
  C
• 
  D