Question
A `29×29` table contains all integers from `1` to `29`, each appearing exactly `29` times. The sum of all numbers above the main diagonal is exactly three times greater than the sum of all numbers below the main diagonal. What number is written in the central cell of the table?
Difficulty level (1 very easy - 10 very hard): 4
Topics:
Arithmetic
Logic
->
Reasoning / Logic
Algebra
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Sequences
Algebra
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Inequalities
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Averages / Means
Combinatorics
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Number Tables
Minimum and Maximum Problems / Optimization Problems
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