# Quantitative Aptitude – Number Systems – The numbers 1, 2,…,9 are arranged

## Question 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

## Solution

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.

## CAT 2017 Questions from Quantitative Aptitude – Number Systems

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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