For the first picture, find the ones which have X, O, and Square. They must be either in same column or in the same row. In each row, look inside and check how many X, O, and Square is in a row or column. For the first row, there are only 2 X, O, and Square in a row and 1 as a column. We can now eliminate 1st, 4th, and 5th options.
Now search for 0, Square, and 0 for each row. It can be in a diagonal or column or row. For the 3rd, 6th, and 9th there is Square, 0, and Square in a row. So for the 1st and 2nd column, the rule is 0, Square, and 0 (can be in diagonal, row or column and for the 2nd and 3rd column, the rule gets reversed like this: Square, 0, Square. We may now eliminate the 2nd option! Now, let's see what options have lasted so far: 3rd, 6th and 7th.
To use the ones in colored with yellow, there is a simple rule: In each row, there should be 3 colored object in one part, 2 colored and 1 colored, and they have to be different. There are 3, 2, and 1 colored X's, 3, 2, and 1 colored squares but there are only 3 and 2 colored circles so we need only 1 colored circle in a square. So the answer is the 5th object.