The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with exactly one person sitting in each box. It is known that
(i) Meritorius’ daughter and his brother are seated in the same column.
(ii) His son is seated diagonally across the sibling of the worst orator.
(iii) The best and worst orators are seated in the same row.
Who is the best orator?
To determine who the best orator is, we need to analyze the seating arrangement using the given clues. Let's translate the problem's constraints into a logical solution:
| Column 1 | Column 2 | |
|---|---|---|
| Row 1 | A | B |
| Row 2 | C | D |
Conclusion: Based on the arrangement and logical deduction from the clues, the best orator is Meritorius’ brother.
In the 4 x 4 array shown below, each cell of the first three rows has either a cross (X) or a number.
| 1 | X | 4 | 3 |
| X | 5 | 5 | 4 |
| 3 | X | 6 | X |
The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is
| TEAM 1 | TEAM 2 | |
| MATCH 1 | P and X | Q and R |
| MATCH 2 | P and R | X and Y |
| MATCH 3 | R and X | Q and Y |
Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?
| Names | Student seniority | Current room | Room preference list |
| Amar | 1 | P | R, S, Q |
| Akbar | 2 | None | R, S |
| Anthony | 3 | Q | P |
| Ajit | 4 | S | Q, P, R |