NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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

Every prime number is also

• Rational number A
• even number B
• Irrational number C
• multiple of two numbers D

What is a proper rational fraction?

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

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• 
  C
• None D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

• 
  A
• 
  B
• 
  C
• None D

An angle of one radian is equivalent to

• 90° A
• 60° B
• 67° C
• 57° 18^' D

• 
  A
• 
  B
• 
  C
• 
  D

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

a + x is

• A trinomial A
• A binomial B
• A moomial C
• An equation D

In 30,60,90 triangle, if the smallest side is 6 then the side opposite to the angle of 60°is

• 12 A
• 3 B
• 
  C
• 6 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

The associative angle of 280°is

• 100° A
• 10° B
• 80°
  
  C
• -80°
  
  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 ab > 0 and a < 0, which of the following is negative?

• b A
• -b B
• -a C
• (a - b)² D