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# In a “Magic Square”, the Sum of the Numbers in Each Row, in Each Column and Along the Diagonals is the Same. is this a Magic Square? - CBSE Class 7 - Mathematics

ConceptIntroduction of Fractions

#### Question

In a “magic square”, the sum of the numbers in each row, in each column and along
the diagonals is the same. Is this a magic square?

 4/11 9/11 2/11 3/11 5/11 7/11 8/11 1/11 6/11

(Along the first row 4/11 +9/11 + 2/11 = 15/11)

#### Solution

Along the first row, sum = 4/11 + 9/11 + 2/11 = 15/11

Along the second row, sum = 3/11 + 5/11 + 7/11 = 15/11

Along the third row, sum = 8/11 + 1/11 + 6/11 = 15/11

Along the first column, sum = 4/11 + 3/11 + 8/11 = 15/11

Along the second column, sum = 9/11 + 5/11 + 1/11 = 15/11

Along the third column, sum = 2/11 + 7/11 + 6/11 = 15/11

Along the first diagonal, sum = 4/11 + 5/11 + 6/11 = 15/11

Along the second diagonal, sum = 2/11 + 5/11 + 8/11 = 15/11

Since the sum of the numbers in each row, in each column, and along the diagonals is the same, it is a magic square.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics for Class 7 (2018 to Current)
Chapter 2: Fractions and Decimals
Ex. 2.10 | Q: 3 | Page no. 31
Solution In a “Magic Square”, the Sum of the Numbers in Each Row, in Each Column and Along the Diagonals is the Same. is this a Magic Square? Concept: Introduction of Fractions.
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