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l, m, n are the pth, qth and rth term of a G.P. all positive, then | log l p 1 | | log m q 1 | equals | log n r 1 |

1. -1
2. 2
3. 1
4. 4

Correct answer: 4

Solution

The expression involves the logarithmic properties of the terms in a geometric progression (G.P.), where the ratios of the logarithms of the terms to their respective indices yield a consistent relationship. By applying the properties of logarithms and the nature of G.P., we find that the result simplifies to 4, indicating a specific ratio among the terms.

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