Q21 of 41 Page 16

Complete the magic square:

 

14

  

0

8

  

6

11

4

    

7
 

2

1

12

Here, sum of last column = 0 + 11 + 7 + 12


Solving for last row,


x + 2 + 1 + 12 = 30


∴ x = 15


 

14

  

0

8

  

6

11

4

    

7

15

2

1

12

Solving for first column,


x + 8 + 4 + 15 = 30


∴ x = 3



3

14

  

0

8

  

6

11

4

    

7

15

2

1

12

Solving for first row,


3 + 14 + x + 0 =30


∴ x = 13



3

14

13

0

8

  

6

11

4

    

7

15

2

1

12

Solving for second row,


8 + x + 6 + 11 = 30


∴ x = 5



3

14

13

0

8

5

6

11

4

    

7

15

2

1

12

Solving for second column,


14 + 5 + x + 2 = 30


∴ x = 9



3

14

13

0

8

5

6

11

4

9

  

7

15

2

1

12

Solving for third column,


13 + 6 + x + 1 = 30


∴ x = 10



3

14

13

0

8

5

6

11

4

9

10

7

15

2

1

12

More from this chapter

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17

A five-digit number AABAA is divisible by 33. Write all the numbers of this form.

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The sum of the digits of a 2-digit number is 6. The number obtained by interchanging its digits is 18 more than the original number. Find the original number.

 19

Which of the following numbers are divisible by 9?

(i) 524618


(ii) 7345845


(iii) 8987148

 20

Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.