NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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

The values of n such that, in the binomial expansion of (1 - x)ⁿ, co-efficient of x², co-efficient of x²is 3, are

• -2, -3 A
• 2, -3 B
• -2, 3 C
• None of these D

The curves y = x², y = x intersect at

• (0,0) , (1, 1) A
• (2, 4) B
• 
  C
• (0,3), (-1, 1) D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 1 B
• 0 C
• 
  D

If the 19th term of A.P is 8 and the 4th term is 20, then the first term is

• 20.2 A
• 25.5 B
• 27.5 C
• 37.5 D

• A linear equation A
• A cubic equation B
• A quadratic equation C
• An equation for circle D

• 
  A
• 
  B
• 
  C
• 
  D

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

If n is a positive integer, then 3+6+9+ -----------------+3n =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these 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

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

Which is an explicit function

• 
  A
• 
  B
• 
  C
• All 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