Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people.
How many unique seating arrangements are possible such that each person is sitting next to their twin?
The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).
The Capacity Factor of a power generation technology is:
Capacity Factor $=\frac{\text { Electricity Generation }(\mathrm{MWh})}{\text { Installed Capacity }(\mathrm{MW}) \times 1000(\mathrm{~h})}$
Which one of the given technologies has the highest Capacity Factor?
In the $4 \times 4$ array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.
Rule: The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals).
As per this rule, the maximum number of crosses possible in the empty column is