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In this question there are two rules that are applied alternately.
The first rule is that all squares are moved one place to the left, except those in the left column which are moved to the right column.
The second rule is that all squares are moved one place down, except those in the bottom row which are moved to the top row.
To find the missing diagram of the sequence, the second rule should be applied, and the correct answer is D.

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In this question there is a grid of squares with a black L-shape and a grey coloured T-shape.
The L-shape rotates around the corners of the grid by 90? clockwise each time. Following this rule, the correct answer could be A, C or D.
The T-shape moves down one place each time. When the T-shape (or part of the T-shape) reaches the bottom row, it moves in the next diagram of the sequence to the top row. However, sometimes parts of the grey T-shape are obscured by the black L-shape.

Following this rule, the correct answer must be A.

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In this question there is a network of arrows around five edges and two diagonals of a hexagon.
The dot moves in the direction of the arrow to the next vertex of the hexagon. However, if there are two possible routes, the dot multiplies to two dots with one dot following each of the possible routes.

Following this rule, the dot in the bottom left of the hexagon in the fifth diagram will multiply so that, in the next diagram of the sequence, there will be three dots altogether.

The correct answer, therefore, is D.

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In this question there is a big equilateral triangle divided up into a grid of nine equilateral triangles, one of which is shaded black and one shaded grey. The black and grey triangle each moves according to its own rule.

The black triangle moves one place anticlockwise around the six small triangles that share an edge with the big triangle. Following this rule, in the next diagram of the sequence, the triangle in the centre at the top should be shaded black. The correct answer, therefore, could be A, C or D.

The grey triangle moves one place clockwise around the three small triangles that do not share an edge with the big triangle. Following this rule, the grey triangle will move to the top left of the three.

The correct answer, therefore, is A.

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In this question everything rotates clockwise.
The equilateral triangle rotates about its own centre by 120? each time.
The square rotates about its own centre by 90? each time.
The regular pentagon rotates about its own centre by 108? each time.
Simultaneously the three shapes rotate by 90? each time about the centre of the large square.
Following these rules, the next diagram of the sequence must be C.

The Correct Answer is C