HCF , LCM and Simplification of Algebraic Expression

If x divides y exactly, what is the HCF of x and y?

• 1

• x

• y

• xy

If x divides y exactly, what is the LCM of x and y?

• 1

• x

• y

• xy

If the factors of x and y are different to each other, what is the HCF between x and y?

• 1

• x

• y

• xy

if factors of x and y are different from each other, what is the LCM between the x and y?

• 1

• x

• y

• xy

Two expressions are p(x) and q(x). If their HCF is f(x) and LCM is g(x), write the relation between p(x), q(x), f(x) and g(x).

• p(x).+ q(x)=f(x) + g(x)

• p(x) - q(x) = f(x) - g(x)

• p(x)q(x) = f(x)g(x)

• p(x)f(x) = q(x)g(x)

In what condition p/q is called the rational number?

• p and q are integers and q is non-zero integer ( $q\ne0$ )

• p and q are integers and q is zero integer

• p and q are integers

• $q\ne0$
  

What must be the index of 2 so that it gives the value 1/2?

• 0

• -1

• 1

• 2

 $\frac{1}{x}+\frac{1}{2x}=$  

•  $\frac{2}{3x}$  

•  $\frac{3}{2x}$  

•  $\frac{1}{3x}$  

If a +  $\sqrt{b}$  =0, then

• a=-1 and b = 1

• a = 0 and b = 0

• a = 0 or b = 0

• a - 2 and b = 4

What value of A makes the exppression $\frac{2}{3+x}$  What undefined?

• 2

• -2

• 3

• -3