CTS Interview Numerical Ability Log and Antilog

Evaluate: log(5^3) (17^6)
a) 2 log(12^5) (17)
b) 0.5 log17
c) log5 (17^18)
d) log5 (17)
e) 2 log5 (17)

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CTS Other Question

If ab + b + a = 135 bc + b + c = 47

ca + a + c = 101

What is the value of a + b + c?
The probability that A, B and C will live for more than 60 years is 12,13and1412,13and14 respectively. What is the probability that atleast 1 of them will be alive after 60 yrs of age?