Q. 1 A4.5( 4 Votes )

Write number like this:



As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?

Answer :


Let us consider this green square.


Diagonal products are:


2×8 = 16


7×3 = 21


Difference = 21-16 = 5



Now let us consider this green square.


Diagonal products: 9× 15 = 135


14× 10 = 140


Difference = 140 – 135 = 5



Now consider this green square.


Diagonal products: 11× 17 = 187


16× 12 = 192


Difference = 192 – 187 = 5


So, we observe that in all the above cases the difference of diagonal products is coming out to be same and is equal to 5.


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