NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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

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

The common difference of the sequence 7,4,1, .......... is

• 1 A
• -3 B
• 5 C
• 0 D

Two dice are rolled. The number of possible outcome in which at least one die shows 2 is?

• 5 A
• 12 B
• 11 C
• 7 D

• 1 A
• 2 B
• 3 C
• 4 D

• 1/2 A
• 3/5 B
• 4/5 C
• 1 D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• A - U D

Which is in the solution set of 4x - 3y < 2

• (3, 0) A
• (4, 1) B
• (1, 3) C
• None D

• 
  A
• 
  B
• 
  C
• None of these D

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = -1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The point (-5, 3) is the center of a circle and P(7, -2) lies on the circle. The radius of the circle is

• 2 A
• 13 B
• 7 C
• 8 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

• 
  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