NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

A vector of magnitude zero is called

• Position vector A
• Null vector B
• Free vector C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 1 B
• 0 C
• 
  D

• (0, e) A
• (0, 1) B
• 
  C
• None 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

The Domain of f(x) = log x is

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The number of ways in which we can courier 5 packets to 10 cities is

• 2 x 5⁰ A
• 5¹⁰ B
• 10⁵ C
• 2¹⁰ D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 1/2 A
• 3/5 B
• 4/5 C
• 1 D