self Maths Puzzle

In 12 hours how many times the two hands of clock will be just opposite to each other i.e they make a straight line having difference of 180 degree b/w them ?
(Please explain with concepts considered for this type of problem in detail)

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self Other Question

What is the probability that a non leap year selected at random has 53 mondays Three inlets A,B & C fills the tank and kept open any one at a time. B is twice efficient and is opened for double the time that of A and C is thrice efficient and opened for duration three times that of A. If the tank gets filled in 12 hours then what part of tank is filled by C ?