Reasoning
Take the numbers in pairs, square the first, and reverse the digits.
1 1 (1 x 1 = 1, reversed is 1)
2 4 (2 x 2 = 4, reversed is 4)
3 9 (3 x 3 = 9, reversed is 9)
4 61 (4 x 4 = 16, reversed is 61)
5 52 (5 x 5 = 25, reversed is 52)
6 63 (6 x 6 = 36, reversed is 63)
7 94 (7 x 7 = 49, reversed is 94)
so we require:
8 46 (8 x 8 = 64, reversed is 46)
??
Puzzle 155
Below you will find 15 well-known five-letter words, with only their endings remaining.
Can you find the words? --lta--yss--pty--dth--day--ybe--dex--fth--nda--aph--alp--era--njo--eue--xty
Each empty white square in the grid contains one of the numbers 1, 2, 3, …, 8. Each of the horizontal and vertical equations must be true, and each number must be used exactly once.