Matrix Arrangements
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Q. If a 3x3 matrix is filled with consecutive integers starting from 1, what is the value at the position (2, 2)?
Q. If a matrix is arranged such that each element is the product of its row and column indices (starting from 1), what is the value at the position (3, 2) in a 4x4 matrix?
Q. If a matrix is arranged such that each element is the sum of the two elements directly above it, what is the value of the element in the second row, second column if the first row is [1, 1]?
Q. If a matrix is filled with numbers in a spiral order starting from 1, what is the value at the center of a 5x5 matrix?
Q. In a 2x2 matrix, if the elements are arranged as follows: [[x, y], [z, w]], and it is known that x + y = z + w, what can be inferred?
Q. In a 3x3 matrix, if the first row is [1, 2, 3] and the second row is [4, 5, 6], what will be the third row if the pattern continues?
Q. In a 4x4 matrix, if the first row is [1, 2, 3, 4] and the second row is [5, 6, 7, 8], what is the sum of the elements in the third row if it follows the same pattern?
Q. In a coding-decoding puzzle, if 'A' is coded as '1', 'B' as '2', and so on, what is the code for the word 'CAB'?
Q. In a direction sense puzzle, if you start facing north and turn 90 degrees clockwise, then 180 degrees counterclockwise, which direction are you facing?
Q. In a syllogism, if all cats are animals and some animals are dogs, can we conclude that some cats are dogs?
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