CAT 2021 Functions Question (Hard)

Question

Rahul has just made a 3 3 magic square, in which, the sum of the cells along any row, column or diagonal, is the same number N. The entries in the cells are given as expressions in x, y, and z. Find N?! image https optima-learn.b-cdn.net content-images 1777023963281-chatgpt_image_apr_24__2026__03_15

Optima Learn · Accepted Answer

Because it is a magic square, every row, column and diagonal sums to the same value N. Sum of 3rd row sum of 2nd column y z 3x 2z z - 1 2x 4y y z 3x y 4z - 1 2x 5y z x - 4y 3z - 1 0 Rewriting as 2x 4y y 2z - 1 2x 3y - 2z -1 A Sum of the two diagonals are equal 3x 4y 4y z - 1 2x y z 4y y z 3x 8y z -

CAT 2021 Functions — Previous Year Question

CAT 2021

Quantitative

Functions

Hard

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