NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive C
• Absolute D

What is a proper rational fraction?

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

If 1 + Cos x = 0, then x =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• -2-i D

• (0, e) A
• (0, 1) B
• 
  C
• None D

Write the first four terms of the arithmetic sequence if a₁= 5 and other three consecutive terms are 23,26,29

• 23, 26, 29, 32 A
• 5, 8, 11, 14 B
• 8, 11, 14, 17 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Sin(a + b) + Sin (a - b) =

• Sin a Cos b A
• Sin a Sin b B
• Sin a + Cos b C
• Sin a - 2 Cos b D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these D

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

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

In the expansion of (a + b)ⁿin every term the sum of the exponents of a and b is

• n A
• n + 1 B
• 2n - 1 C
• 2n + 1 D

• 1 A
• 0 B
• -2 C
• 3 D