Question

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

A

2(1/3)

B

2(2/3)

C

22

D

2(4/3)

Question

Answer 1

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

Answer 2

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

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QuestionThree positive numbers p, q and r are in AP such that p*q*r = 64. Find the minimum value of q.A2(1/3)B2(2/3)C22D2(4/3)

Question

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

A

2(1/3)

B

2(2/3)

C

22

D

2(4/3)