PGDBA 2023 Question Paper | Quant
PGDBA Previous Year Paper | PGDBA Quant Questions | Question 13
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Question 13 : In a \((8 \times 8)\) chessboard, numbers are placed on each of the 64 squares such that the number on each square is the average of its neighboring squares (that is, the squares with which it shares a side). Also it is known that the sum of all the numbers is 640 . Which of the following is true:
- There exists a way of placing the numbers in the chessboard such that the average of the numbers on the four corner squares is strictly greater than 10
- There exists a way of placing the numbers in the chessboard such that the product of all the numbers must be strictly less than \(10^{64}\)
- There exists a way of placing the numbers in the chessboard such that the average of the numbers on the four corner squares is strictly less than 10
- The number of ways the chessboard can be filled subject to the given conditions is less than 10
Choice D
The number of ways the chessboard can be filled subject to the given conditions is less than 10
The number of ways the chessboard can be filled subject to the given conditions is less than 10
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The answer is 'The number of ways the chessboard can be filled subject to the given conditions is less than 10'
Choice D is the correct answer.
