Q.

Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is

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a

23

b

3+2

c

32

d

2+3

answer is B.

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Detailed Solution

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Let the three numbers be a/r, a, ar. As the numbers form an increasing G.P., so, r > 1. It is given that a/r, 2a, ar are in A.P. Hence,
4a=ar+ar r24r+1=0 r=2±3=2+3                   [r>1]

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