Q11 of 55 Page 79

Complete the magic square given below, so that the sum of the numbers in each row or in each column or along each diagonal is 15.



















6



1





5







Solving for diagonal,


6 + 5 + x = 15


∴ x = 4



















6



1





5






4



Solving for first row,


6 + 1 + x = 15


∴ x = 8



















6



1



8




5






4



Solving for last column,


8 + x + 4 = 15


∴ x = 3



















6



1



8




5



3





4



Solving for second row,


x + 5 + 3 = 15


∴ x = 7



















6



1



8



7



5



3





4



Solving for first column,


6 + 7 + x = 15


∴ x = 2



















6



1



8



7



5



3



2




4



Solving second column,


1 + 5 + x = 15


∴ x = 9


∴



















6



1



8



7



5



3



2



9



4



More from this chapter

All 55 →
9

Find two numbers whose product is a 1-digit number and the sum is a 2-digit number.

 10

Find three whole numbers whose product and sum are equal.

 12

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

 13

Fibonacci numbers Take 10 numbers as shown below:

a, b, (a + b), (a + 2b), (2a + 3b), (3a + 5b), (5a + 8b), (8a + 13b), (13a + 21b), and (21a + 34 b). Sum of all these numbers =11(5a + 8b) = 1 1 x 7th number.


Taking a = 8, b =13; write 10 Fibonacci numbers and verify that sum of all these numbers =11 x 7th number.