1 = 1 × 1
9 = 3 × 3
25 = 5 × 5
48
64 = 8 × 8

48 is the odd one out.

11
First digit = 1, next digit = 1 × 1 = 1

24
First digit = 2, next digit = 2 × 2 = 4

39
First digit = 3, next digit = 3 × 3 = 9

416
First digit = 4, next two digits = 4 × 4 = 16

525
First digit = 5, next two digits = 5 × 5 = 25

636 (answer)
First digit = 6, next two digits = 6 × 6 = 36

749
First digit = 7, next two digits = 7 × 7 = 49

14

1 × 1 + 4 × 4 = 1 + 16 = 17

17

1 × 1 + 7 × 7 = 1 + 49 = 50

50

5 × 5 + 0 × 0 = 25 + 0 = 25

25

2 × 2 + 5 × 5 = 4 + 25 = 29

29

2 × 2 + 9 × 9 = 4 + 81 = 85

85

8 × 8 + 5 × 5 = 64 + 25 = 89

89

8 × 8 + 9 × 9 = 64 + 81 = 145 (answer)

145

1 × 1 + 4 × 4 + 5 × 5 = 1 + 16 + 25 = 42

42

4 × 4 + 2 × 2 = 16 + 4 = 20

First line total = 4 = 2 × 2

Second line total = 9 = 3 × 3

Third line total = 16 = 4 × 4

Fourth line total = 25 = 5 × 5


The total in any one is always :

middle number of the line × middle number of the line


So for 1 + 2 + 3 + ... + 99 + 100 + 99 + ... 3 + 2 + 1 ,


Total = 100 × 100 = 10000

Third one

14 ==> 17
1^2 + 4^2 = 17

17 ==> 50
1^2 + 7^2 = 50

50 ==> 25
5^2 + 0^2 = 25

And so on.

The sum of the squares of all individual digits in each number gives the next number.

Ans: 145 for third question

Thank you so much !