NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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

3/2 is

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

• 
  A
• 
  B
• 
  C
• 
  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

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

Total number of terms in the expansion of (a + b)⁵+ (a - b)⁵after simplification are

• 3 A
• 1 B
• 4 C
• 7 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
• 
  B
• 
  C
• 
  D

• 30° A
• 45° B
• 60° C
• 90° 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

The common difference of the sequence 7,4,1, .......... is

• 1 A
• -3 B
• 5 C
• 0 D

• 
  A
• 
  B
• 
  C
• None D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• A - U D