Solved Examples on Ramanujan Magic Square
Here are some solved examples of the Ramanujan Magic Square for you to prepare for your exam.
Example 1: Rohan’s Birthday Is on 02 April 1995. Draw a Rohan’s Magic Square.
Solution:Since Rohan’s birthday is on 02 April 1995.
We have DD = 02
MM = 04
CC = 19
YY = 95
Using the concept of Ramanujan’s Magic square, we have,
The numbers in the first row should be:
02, 04, 19, 95
The numbers in the second row should be:
95 + 1 = 96, 19 – 1 = 18, 04 – 3 = 01, 02 + 3 = 05
The numbers in the third row should be:
04 – 2 = 02, 02 + 2 = 4, 95 + 2 = 97, 19 – 2 = 17
The numbers in the fourth row should be:
19 + 1 = 20, 95 – 1 = 94, 02 + 1 = 03, 04 – 1 = 03
Therefore, the magic square is:
Example 2: Complete the following Ramanujan Magic Square.
Solution:From the first row, it is observed that:
DD = 08
MM = 10
CC = 19
YY = 90
The numbers in the second row should be as follows:
YY + 1. CC – 1, MM – 3, DD + 3, that is,
91, 18, 07, 11. Therefore, the missing numbers in the second row are 91 and 11.
The numbers in the third row should be as follows:
MM – 2, DD + 2, YY + 2, CC – 2, that is,
08, 10, 92, 17. Therefore, the missing numbers in the third row are 08 and 92.
The numbers in the fourth row should be as follows:
CC + 1, YY – 1, DD + 1, MM – 1, that is
20, 89, 09, 09. Therefore, the missing numbers in the third row are 89 and 09.
The complete magic box is shown below.
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