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Numbers Around Squares

In this chapter, we study the pattern of numbers written around and inside the squares. Three squares are given. First two squares contain four numbers around and one number inside each of them. The third square again contains four numbers around, but none inside. Instead, it contains a question mark (?) inside. Students are required to find out the number which ought to have been present inside the third square.
 
The number inside the square is related to the numbers around the square according to some rule or pattern which is common in respect of all the three squares. Students should observe the numbers around and inside the first square and identify the pattern/rule followed by the numbers. They should verify and ensure that the same pattern/rule holds in respect of numbers around and inside the second square also. Finally, the pattern should be applied to the numbers around the third square to find out the missing number inside the square.
 
For the sake of uniformity in our analysis, the numbers around the square in clockwise direction, starting from the left, are indicated by letters a, b, c, d and the number inside the square is indicated by the letter e, as shown in the adjacent figure.
 





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