IQ test questions and answers

Read across each row: the shape never changes inside a row (circles, then squares, then triangles). Read down each column: the colour never changes (blue, red, yellow). The missing cell sits in the third row and third column, so it is a triangle in the third column colour, yellow.

Two rules run at once. Down the columns the shape stays the same (hexagon, triangle, circle). Down the rows the size increases: small, then medium, then large. The missing cell is in the third column (circle) and the third row (large), so it is a large blue circle. Every shape is blue, so colour carries no information.

Three attributes change independently. Fill follows the row: solid, outlined, solid. Colour follows the column: red, blue, yellow. The number of triangles forms a Latin square, so each row and column contains one, two and three triangles once. The bottom row already has three and one, so the missing count is two. The last column is yellow and the last row is solid: two solid yellow triangles.

Shape, colour and size each form their own Latin square, so every row and every column holds all three circles, squares and triangles once, all three colours once, and all three sizes once. The bottom row already has a triangle and a circle, red and yellow, medium and large, so the missing cell is a small blue square. The fourth attribute, fill, follows the column instead: the middle column is outlined and the other two are solid. The last column is solid, so the answer is a small solid blue square.

Each number is double the one before: 3 × 2 = 6, 6 × 2 = 12, 12 × 2 = 24, so 24 × 2 = 48.

Look at the gaps between numbers: +1, +2, +3, +4, +5. The gap grows by one each step, so the next gap is +6 and 17 + 6 = 23.

Two operations alternate: double, then subtract 2. 5 × 2 = 10, 10 − 2 = 8, 8 × 2 = 16, 16 − 2 = 14, 14 × 2 = 28, so the next step is 28 − 2 = 26.

An author creates a book. The relationship is creator to creation, so a composer creates a symphony. An orchestra performs the music and a piano is a tool, so neither fits the relationship.

The other three are perfect cubes: 27 = 3 × 3 × 3, 64 = 4 × 4 × 4 and 125 = 5 × 5 × 5. 100 is a perfect square (10 × 10), not a cube.

If every bloop is a razzie and every razzie is a lazzie, then every bloop is a lazzie. The reverse does not follow: there could be lazzies that are not bloops.

Put the facts in one line from tallest to shortest: Ana, Ben, Cy, Dev. Ben is second.

45 minutes is three quarters of an hour, so the train goes 60 ÷ 0.75 = 80 km each hour. In 2 hours it covers 160 km.