There is only one supercell (number. greater than all its neighbours) in this grid. If you exchange two digits Class 6

There is only one supercell (number. greater than all its neighbours) in this grid. If you exchange two digits Class 6

Question 1.

There is only one supercell (number. greater than all its neighbours) in this grid. If you exchange two digits of one of the numbers, there will be 4 supercells. Figure out which digits to swap. Class 6

Solution:

Exchange the digits 6 and 1 in 62,871 to make it number 12,876. Then, there will be four supercells as shown (shaded) below:

Question 2.

How many rounds does your year of birth take to reach the Kaprekar constant? Class 6

Solution:

Doas directed. For date 3-8-18 it is done as follows: 3818

A = 8831; B = 1388; so, C = 8831 - 1388 = 7443. .......(i)

New, A = 7443, B = 3447; so, C = 7443 - 3447 = 3996. .....(ii)

New, A 9963, B = 3699; so, C 9963 - 3699 6264. ...(iii)

New, A = 6642, B = 2466;, so, C = 6642 - 2466 = 4176. ...(iv)

New, A = 7641, B = 1467; so, C = 7641 - 1467 = 6174. ...(v)

So, Kaprekar constant is obtained after 5 rounds.