Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

The given statement is true or false?


A magic square has a single sum for each row, column, and diagonal.


Question Image

This is magic square.


see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

True

b

False 

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

The given statement is true.
Concept: Here, there is an integer-filled grid. We determine if the sum of the items in each row, column, and diagonal is equal to the sum of the elements in each row, column, and diagonal combined. It is a magic square if the sums of all the squares add up to the same number. A magic square of order n is made up of Question Image different integers arranged in such a way that the sum of the Question Image numbers in each row, column, and diagonal add up to the same number.
We give names to all the rows, all the columns, and both diagonals while solving the magic square to make calculations simpler.
Let's say that the first row is represented by Question Image, the second row by Question Image, and the third row by Question Image.
Similar to that, Question Image stands for the first column, Question Image for the second, and Question Image for the third.
Question Image stands for the diagonal from top left to bottom right, and Question Image for the diagonal from top right to left bottom.
Question ImageElements of Question Image are 1,−10,0
Therefore, sum of elements of Question Image is Question ImageElements of Question Image are −4,−3,−2
Therefore, sum of elements of Question Image is Question ImageElements of Question Image are −6,4,−7
Therefore, sum of elements of Question Imageis Question ImageElements of Question Image are 1,−4,−6
Therefore, sum of elements of Question Image is Question ImageElements of Question Image are −10,−3,4
Therefore, sum of elements of Question Image is Question ImageElements of Question Image are 0,−2,−7
Therefore, sum of elements of Question Image is Question ImageElements of Question Image are 1,−3,−7
Therefore, sum of elements of Question Image is Question ImageElements of Question Image are 0,−3,−6
Therefore, sum of elements of Question Image is Question ImageThe total or parts of each row are unambiguously -9.
Additionally, the total of each diagonal element is -9.
Since the sum of the numbers in each row, each column, and each diagonal is the same, i.e.-9,
Consequently, this grid-like arrangement of numbers is a magic square.
Hence, option 1 is correct.
 
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring