The correct option is A A month
To understand the riddle, we first study the part at the beginning of the riddle:
A fourth of a third
Mathematical expression for the given part is:
14×13=1×14×3=112
Now, the riddle can be re-written as:
112th of a year
1 year=12 months
⟹112th of a year =112×12 months =1×1212×1 months =1 month
∴A fourth of a third of a year is a month.