If x = 2y =3z and xyz =36 , what is the value of z?
A
2
B
root 2
C
root 3
D
3
Correct Answer: 2
x = 2y = 3z∴ x = 3z;y = 3z/2So, xyz = 36⇒ 3z.3z/2.z = 36⇒ 9z³ = 72⇒ z³ = 8⇒ z³ = 2³∴z = 2