NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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

• 1/2 A
• 3/5 B
• 4/5 C
• 1 D

In which quadrant is the solution of the equation sin x - 1 = 0

• II quadrants A
• II and III quadrants B
• III and IV quadrants C
• I quadrant 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

What is the period of Cot x?

• 
  A
• 
  B
• 
  C
• 
  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

In the expansion of (a + b)ⁿin every term the sum of the exponents of a and b is

• n A
• n + 1 B
• 2n - 1 C
• 2n + 1 D

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

What is a proper rational fraction?

• 
  A
• 
  B
• 
  C
• All are proper rational fractions D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The values of n such that, in the binomial expansion of (1 - x)ⁿ, co-efficient of x², co-efficient of x²is 3, are

• -2, -3 A
• 2, -3 B
• -2, 3 C
• None of these D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D