NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

If -1 < x < 0, which of the following statements must be true?

• x < x²< x³ A
• x < x³< x² B
• x²< x³< x C
• x²< x < x³ 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

The line joining (1, 3) to (a, b) has unit gradient then

• a-b = -2 A
• a+b = 0 B
• a-b + 5 C
• 2a+3b=1 D

• Tan x A
• X B
• - x C
• 
  D

The range of inequality x + 2 > 4 is

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

If 1 + Cos x = 0, then x =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

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

• n = 3 only A
• n > 5 B
• n > 3 C
• n < 5 D

• 
  A
• 
  B
• 
  C
• None D

• 2 A
• 1 B
• 3 C
• 4 D

The equation of the normal to the circle x²+ y²= 25 at(4, 3) is

• 3x - 4y = 0 A
• 3x - 4y = 5 B
• 4x + 3y = 5 C
• 4x + 3y = 25 D

• 
  A
• 
  B
• 
  C
• None of these D

• p < r A
• p > r B
• p + r < 0 C
• p - r < 0 D

• Nilpotent matrix A
• Singular matrix B
• Non singular matrix C
• Diagonal matrix D