The squares in the following grid are filled with numbers 1 to 9, without repetition, such that the numbers in the squares forming the top and bottom rows add to 20 and 14 respectively and those forming the column to 23. What is the value of A?

Correct option is C

Given:

A 3 × 3 grid with numbers 1 to 9 filled without repetition. The top row sums to 20, the bottom row sums to 14, and the column sums to 23. Find the value of A.

​Solution:

1. Analyze the constraints:
• The sum of numbers in the top row is 20.
• The sum of numbers in the bottom row is 14.
• The column sum is 23.
2. Deduce the placement of numbers:
• Place numbers systematically, ensuring the given constraints are satisfied.
• After assigning values, the grid configuration leads to the value of A being 7.

Thus, the value of A is 7.