NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

If Z = (1,2), then Z^-1= ?

• (0.2, 0.4) A
• (-0.2, 0.4) B
• (0.2 , -0.4) C
• (-0.2, -0.4) D

• 2 A
• 1 B
• 3 C
• 4 D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

If the diagonal of a square has coordinates (1, 2) and (5,6) the length of a side is

• 3 A
• 4 B
• 1 C
• 5 D

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

• A + B A
• C²/AB B
• A²/BC C
• B²/AC D

• 
  A
• 
  B
• 
  C
• 
  D

What is a proper rational fraction?

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

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

• Same as the original determinant A
• Additive inverse of the original determinant
  B
• Both A and B C
• Adj of the original matrix D

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• All D

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

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

• 
  A
• 
  B
• 
  C
• -2-i D

• 
  A
• -3/4 B
• 1/16 C
• 1/4 D