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:
- Understand the Seating Arrangement: We have a 2x2 grid based on the image:
| Column 1 | Column 2 | |
|---|---|---|
| Row 1 | A | B |
| Row 2 | C | D |
- Apply Clue (i): "Meritorius’ daughter and his brother are seated in the same column." We can assume Meritorius' daughter is in Column 1, Row 1 and his brother in Column 1, Row 2 (or vice versa).
- Apply Clue (ii): "His son is seated diagonally across the sibling of the worst orator."
- If Meritorius' brother is the worst orator, Meritorius’ son must be in a position diagonal to his daughter's, i.e., Column 2, Row 2.
- This aligns Meritorius’ brother with the worst position, Column 1, Row 2, and his son at Column 2, Row 2.
- Apply Clue (iii): "The best and worst orators are seated in the same row."
- Since Column 1, Row 2 is the worst position, the best one should be on Row 2.
- Thus, Meritorius' brother must be the best orator since he shares the row with an assumption based on worst case positioning.
Conclusion: Based on the arrangement and logical deduction from the clues, the best orator is Meritorius’ brother.
Important Questions from Puzzles
The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
Note: The figure shown is representative.
- A thin wire is used to construct all the edges of a cube of $1 \text{ m}$ side by bending, cutting and soldering the wire. If the wire is $12 \text{ m}$ long, what is the minimum number of cuts required to construct the wire frame to form the cube?
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.
1 1 2 2 X 3 2 X 4 1 2 X 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
In the square grid shown on the left, a person standing at P2 position is required to move to P5 position.
The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right.
For example, a person at a given position Y can move only to the positions marked X on the right.
Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is
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
