Question

X is a factor of Y. Y is a factor of Z.
In this context, which of the following sets has LCM = Y?
a) (X, Y)
b) (Y, Z)
c) (X, Z)
d) (X, Y, Z)

Answer 1

Answer:

A

Step-by-step explanation:

X=

Y=( x)

Z= (y)

Y is a factor of  therefor e it can not be a multiple of Z  so all answers with Z are eliminated.

Answer 2

Answer:

The correct option is B) (Y, Z)

Step-by-step explanation:

X is a factor of Y

⇒ L.C.M. of X and Y = X

Y is a factor of Z

⇒ L.C.M. of Y and Z = Y

Also, L.C.M. of X and Z = X

And L.C.M. of X, Y and Z = X

So, The required pair of set which has L.C.M. Y = Y and Z

Therefore, The correct option is B) (Y, Z)