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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?

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NCERT Solutions for Class 7 Mathematics Chapter 2
Important NCERT Questions
Class vii Math Chapter 2 Fractions and Decimals Exercise 2.1
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 3

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1 Answer

  1. Sum of first row = 4/11 + 9/11 + 2/11 = 5/11 [Given]
    Sum of second row = 3/11 + 5/11 + 7/11 = 3+5+7/11 = 15/11
    Sum of third row = 8/11 + 1/11 + 6/11 = 8+1+6/11 = 15/11
    Sum of first column = 4/11 + 3/11 + 8/11 = 4+3+8/11 = 15/11
    Sum of second column = 9/11 + 5/11 + 1/11 = 9+5+1/11 = 15/11
    Sum of third column = 2/11 + 7/11 + 6/11 = 2+7+6/11 = 15/11
    Sum of first diagonal (left to right) = 4/11+5/11+6/11/11 = 15/11
    Sum of second diagonal (left to right) = 2/11+5/11+8/11/11 = 15/11

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

    Exercise 2.1 Question 2, 3, 4

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-2/

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