Question

20. Rahul drew a rectangular grid of 625 cells, arranged
in 25 Rows and 25 columns, and filled each cell
with a number. The numbers with which he filled
each cell were such that the numbers of each row
taken from left to right formed an arithmetic series
and the numbers of each column taken from top to
bottom also formed an arithmetic series. The band
the 20thnumbers of the fifth row were 37 and 73
respectively, while the 6th and the 20thnumbers of the
25th row were 63 and 87, respectively. What is the
sum of all the numbers in the grid?
(a) 32798
(b) 65596
(c) 52900
(d) None of these​

Answer 1

Answer:

c.........................

Answer 2

Step-by-step explanation:

The correct option is A 32798

As every row and every column is in AP. So the sum of all the columns follow an AP and likewise sum of rows.

Given sum of 5th row as 23×(47+63)2 = 23×55 and sum of 15th row as 23×(53+77)2 = 23×65

So the sum of 12th row is = 23×62 and sum of sum of all rows i.e. sum of all the numbers in grid = 23×23×62=32798.