Question

Three positive numbers p, q and r are in AP such that p*q*r = 64. Find the minimum value of q.

A

2(1/3)

B

2(2/3)

C

22

D

2(4/3)

Question

Question

Three positive numbers p, q and r are in AP such that p*q*r = 64. Find the minimum value of q.

A

2(1/3)

B

2(2/3)

C

22

D

2(4/3)

Maruti Konduri · Accepted Answer

Let the three numbers be q-d, q, q+d
Therefore, q*(q^2-d^2) = 64
For q to be minimum, d has to be 0.

Hence, the minimum value of q is cube root of 64 = 4