Question

If x, y, z are distinct prime numbers, then :

• A. x, y, z may be in A.P. but not in G..P.
• B. x, y, z may be in G.P. but not in A.P.
• C. x, y, z can neither be in A.P. nor in G.P.
• D. None of these

Answer 1

Answer: (A)

x, y, z may be in A.P. but not in G..P.

Answer 2

x, y, z are in G.P.

Û y² = xz

Û x is a factor of y (not possible)

aking 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.