Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.1k views
by (11.0k points)

In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.

(i) 

5 -1 -4
-5 -2 7
0 3 -3

(ii) 

1 -10 0
-4 -3 -2
-6 4 -7

1 Answer

0 votes
by (18.2k points)
selected by
 
Best answer

Taking rows 

5 + (–1) + (–4) = 5 – 5 = 0

(–5) + (-2) + 7 = –7 + 7 = 0

 0 + 3 + (–3) = 3 – 3 = 0 

Taking columns 

5 + (–5) + 0 = 5 – 5 = 0 

(–1) + (–2) + 3 = –3 + 3 = 0

 (–4) + 7 + (–3) = 7 – 7 = 0 

Taking diagonals 

5 + (–2) + (–3) = 5 – 5 = 0

(–4) + (–2) + 0 = –6 

This box is not a magic square because all the sums are not equal.

(ii) 

Taking rows 

1 + (–10) + 0 = 1 – 10 = –9

 (–4) + (–3) + (–2) = –7 – 2 = –9

 (–6) + 4 + (–7) = –2 – 7 = –9

 Taking columns

 1 + (–4) + (–6) = 1 – 10 = –9

 (–10) + (–3) + 4 = –13 + 4 = –9 

0 + (–2) + (–7) = 0 – 9 = –9

 Taking diagonals

 1 + (–3) + (–7) = 1 – 10 = –9

 0 + (–3) + (–6) = –9

 This box is magic square because all the sums are equal.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...