The numbers 1, 2,…,9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.

If the top left and the top right entries of the grid are 6 and 2, respectively, then the bottom middle entry is

3

From CAT 2017 – Quantitative Aptitude – Number Systems, we can see that,

The numbers cannot be repeated.

The grid looks like this

We have to find x. On solving, we get

The sum along the diagonals, columns and rows comes as equal.

Answer will be 3

Quantitative Aptitude – Number Systems – Q1: If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

Quantitative Aptitude – Number Systems – Q2: If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?

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Dealing With Factorials

Baisc Idea of Remainders

Cyclicity Of Remainders

Basic Application of Remainder Theorem

Remainders Advanced

Determining the second last digit and the last two digits

Application of LCM (Lowest Common Multiple) in solving Quantitative Aptitude Problems

How to Find Number of Trailing Zeros in a Factorial or Product

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