NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

• A < G < H A
• A > G > H B
• A < G > H C
• A > G < H D

If c is a constant number and if f is the function defined by the equation f(x) = c for all values of x, then f is differentiable at every x and f is defined the equation f(x) = _________

• f A
• 1 B
• C C
• 0 D

The associative angle of 280°is

• 100° A
• 10° B
• 80°
  
  C
• -80°
  
  D

Sin x + Cos x = 1 x =

• 
  A
• 
  B
• 
  C
• 
  D

If K₁: K₂= 1 : 1 then the point P dividing the line is

• Midpoint A
• Extreme left point B
• Extreme Right Point C
• P lies out side k₁and k₂ D

Which is in the solution set of 4x - 3y < 2

• (3, 0) A
• (4, 1) B
• (1, 3) C
• None D

The point (-5, 3) is the center of a circle and P(7, -2) lies on the circle. The radius of the circle is

• 2 A
• 13 B
• 7 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Two matrices A and B are conformable

for multiplication (AB) if and only if

• Both A,B have the same number of columns
  
  A
• Both A and B do not have the same order
  
  B
• Number of col A is same as number of rows of B
  
  C
• Number of rows of A is same as number of col of B
  
  D

• 
  A
• 
  B
• 
  C
• 
  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

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 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