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Explanation:

Since there is no condition imposed on x, y and z, assume x = y = z = 10

Consider logxyz + 1.

When x = y = z = 10; logxyz + 1

= log10(10 × 10) + 1

= log10(10)2 + 1 = 2 log10(10) + 1

= 2(1) + 1 = 3

Similarly, logyxz + 1 = logzxy + 1 = 3

∴ Required value = (1/3) + (1/3) + (1/3) = 1

Hence, option (b).

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