NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

The mid point of the line joining (-1, -3) to (3, -5) is

• (1, 1) A
• (1, -1) B
• (2, -8) C
• (1, -4) D

What is the domain of y = Cot^-1x?

• Set of irrational number only A
• Set of all real numbers B
• Set of intergers only C
• Set of complex numbers only D

If f₁(x) and f₂(x) are any two anti derivatives of a function F (x), then the value of f₁(x) - f₂(x) =

• A variable A
• A constant B
• undefined C
• infinity D

If in isosceles right angled triangle, one side is a then hypotenuse is

• 
  A
• 
  B
• a C
• cannot be determined by given information D

A function F(x) is called even if

• F(x) = F(-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

The multiplicative inverse of x such that x = 0 is

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

If ab > 0 and a < 0, which of the following is negative?

• b A
• -b B
• -a C
• (a - b)² D

The value of the polynomial 3x³+ 4x²- 5x + 4 at x = -1 is

• 12 A
• 1 B
• 10 C
• -10 D

If a statement S(n) is true for n = 1 and the truth of S(n) for n + K implies the truth of S(n) for S(n) = K + 1, then S(n) true for all

• All Real numbers A
• All integers B
• Positive integers C
• All complex numbers D

• 
  A
• 
  B
• 
  C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

In general matrices do not satisfy

• Commutative law w.r.t multiplication A
• Associative law w.r.t addition B
• Distributive law w.r.t addition C
• Multiplication of a scalar with the matrix D

If 2 Sin x Cos 2 x = Sin x then?

• 
  A
• 
  B
• 
  C
• 
  D

The associative angle of 280°is

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

The range of inequality x + 2 > 4 is

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