Abstract Reasoning

What’s the Rule

What’s the Rule

Every box in both sets contains intersecting lines, some of which intersect to form enclosed regions in the shapes of rectangles. The rectangles in Set A are all positioned in the top half of the box. The rectangles in Set B are all positioned in the bottom half of the box.

What’s the rule

Explanation

There are varying numbers of connected triangles, which can be arranged with white or black dots touching their tops, bottoms or sides. Note that there are two arrangements of the connected triangles: hourglass (triangles touch at tips) or diamond (triangles share a base). The number of white and black dots varies with the number of hourglasses or diamonds. In Set A, the number of white dots in each box is the number of diamonds plus one, and the number of black dots is the number of hourglasses minus one. In Set B, the number of white dots is the number of hourglasses plus one, and the number of black dots is the number of diamonds minus one. It helps to make a notation of these rules on your noteboard, to avoid making mistakes as you check the test shapes. For example:

Set A: white = D + 1; black = H - 1

Set B: white = H + 1; black = D - 1

Note as well that to evaluate each test shape, you must apply the counting rules for both sets, since it is possible that a test shape could fit both rules or that it could fit neither.

what’s the rule

All boxes in both sets include the same shape composition: four circles and four squares, in alternating order and not overlapping. There are different colours in each set: the circles and squares can be white, black and grey. Search for a colour pattern in these two sets: in Set A, the first square from the center is black in all the boxes. In Set B, the third circle from the center is black in all boxes.

what’s the rule

All the boxes in Set A contain two triangles. All the boxes in Set B contain two rectangles of the same size.

what’s the rule

Explanation

Both sets are composed of the same pattern of shapes: a central circle divided into four inner quarters and four outer quarters. There are four circles situated in each corner of the box. Each section of the shape can be white or black. There is no shape pattern as the shapes are the same in each box, search for a pattern related to the colour and symmetry in each box: in Set A, there is a diagonal line of symmetry in each box. In Set B, there is a vertical line of symmetry in each box.

what’s the rule

Every box in both sets contains five shapes arranged in an X formation. The rule in Set A is that the heart shape is always above the square in the box. In Set B, the triangle is always to the left of the circle. The colour of the shapes does not affect the rule in either set.

what’s the rule

Every box in both sets contains white circles, white or black squares and arrows. The arrows connect the shapes. In Set A, squares connected to 1 arrow are white and squares connected to more than 1 arrow are black. Additionally, 1 arrow points towards each circle and 2 arrows point away from each circle. In Set B, squares connected to 1 arrow are black and squares connected to more than 1 arrow are white. Additionally, 2 arrows point towards each circle and 1 arrow points away from each circle.

what’s the rule

Every box in both sets contains a circle and a star, with one of the shapes positioned inside the other. In Set A, when an 8-sided star is present, the circle is black, and when a 10-sided star is present, the circle is white. In Set B, when an 8-sided star is present, the circle is white, and when a 10-sided star is present, the circle is black.