NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

A function F(x) is called even if

• F(x) = F(-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

If the diagonal of a square has coordinates (1, 2) and (5,6) the length of a side is

• 3 A
• 4 B
• 1 C
• 5 D

If A and B are matrices of same order than (,A + B)(A + B) =

• A²+ B² A
• A²+ B²+ 2AB B
• A + B C
• A²+ B²+ AB + BA D

The sum of the series 1+5+9+13+17+21+25+29 is

• 140 A
• 130 B
• 120 C
• 110 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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 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 in isosceles right angled triangle, one side is a then hypotenuse is

• 
  A
• 
  B
• a C
• cannot be determined by given information 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

• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D