If `x ,y ,a n dz` are distinct prime numbers, then (a).`x , y , a n dz` may be in A.P. but not in G.P. (b)`x , y , a n dz` may be in G.P. but not in A.P. (c).`x , y , a n dz` can neither be in A.P. nor in G.P. (d).none of these

Options

A. x,y and z may be in A.P but not in G.P
B. x,y and z may be in G.P but not in A.P
C. x,y and z can neither be in
D. none of these

Answer

A

Explanation

x,y,z are in G.P.
`hArr y^(2)=xz`
`hArr` x is a factor of y (not possible)
Taking x=3,y=5,z=7, we have x,y,z are in A.P. Thus x,y,z may be in A.P. but not in G.P.