NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

• 0 A
• -2 B
• 1 C
• 4 D

The magnitude of a vector can never be

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

If P(E) is the probability that can event will occur, then P(E) =

• 1 A
• 0.5 B
• 2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• b A
• -b B
• -a C
• (a - b)² D

The equation of the normal to the circle x²+ y²= 25 at(4, 3) is

• 3x - 4y = 0 A
• 3x - 4y = 5 B
• 4x + 3y = 5 C
• 4x + 3y = 25 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

Two matrices A and B are conformable

for multiplication (AB) if and only if

• Both A,B have the same number of columns
  
  A
• Both A and B do not have the same order
  
  B
• Number of col A is same as number of rows of B
  
  C
• Number of rows of A is same as number of col of B
  
  D

• 0 A
• 1 B
• -1 C
• 2 D

Cos 315°=

• 0.707 A
• 0.5 B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• None of these D

The Domain of f(x) = log x is

• 
  A
• 
  B
• 
  C
• 
  D

If 0 < n < 1, n is a rational number, the number of terms in the expansion of (1 + X)ⁿare

• n + 1 A
• 2n B
• Infinitely many C
• 2n² D

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

• Parabola A
• Circle B
• Hyperbola C
• Ellipse D

What is a proper rational fraction?

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