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Solving Techniques 3
Hidden Pairs/Triples/Quads

Like the naked pairs, this method involves looking for pairs like [1,2][1,2], in cases where these pairs are hidden. Since they are hidden numbers, they are harder to find, but when you find them, [1,2] can be eliminated as candidates from other cells.

Hidden Triples

Lets have a look at the center-right box. DEF in column 9 are [1,2,5,6][1,2,5,6][1,2,6].
In C9’s [5,8,9], a 1, 2, or 6 can’t be entered.
Also, in H9’s [5,8,9], a 1, 2, or 6 can’t be entered.
It appears that a 1 might fit in I9, but since 1 can only go in row G in column 7, it is impossible.
Hence, a triple of [1,2,6] arises in DEF of column 9.

Therefore, [1,2,6] can’t be entered in the other cells of this box. Hence, a [5] in E8 and a [3] in F8 are confirmed.

[1] in G7 is also confirmed.

Hidden Triples-2

It’s not quite hidden, but a triple of 1,7,8 arises between D4, E4 and H4. The 1 will have to be in either D4 or E4, so it will not be in E6 or F6.

Hence, 1 in I6 is confirmed.


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Hidden Pairs

As seen in the diagram below, if 1,2 is in the upper left and upper middle, and there is also 1,2 in column 7, A8 and A9 in the upper right box will become [1,2][1,2]


Since a [1,2] pair is now in the upper right box, 1 and 2 can’t be entered in the other cells.

Hidden Quads

Quads are made up of four numbers in the same way, but we couldn’t find a specific example for this. It will appear as if there are many candidates, but if a number can’t be entered in any of the other cells, this technique will work.
It is a bit difficult, but it is an effective technique when you get stuck.

Names of cells in Sudoku

A1A2A3A4A5A6A7A8A9
B1B2B3B4B5B6B7B8B9
C1C2C3C4C5C6C7C8C9
D1D2D3D4D5D6D7D8D9
E1E2E3E4E5E6E7E8E9
F1F2F3F4F5F6F7F8F9
G1G2G3G4G5G6G7G8G9
H1H2H3H4H5H6H7H8H9
I1I2I3I4I5I6I7I8I9

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