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Show Answer Key & Explanations Step-by-step solution for: Printable iq test with answers pdf: Fill out & sign online | DocHub
You're correct, the answer is D.

Here is a detailed explanation of the logic behind this solution:

This is a 3x3 grid puzzle where we need to find the missing element in the bottom-right cell. The key is to look for patterns that hold true across the rows and columns.

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Step 1: Analyze the Shapes



Let's list the shapes in each row:

- Row 1: Circle, Triangle, Square
- Row 2: Square, Triangle, Square
- Row 3: Triangle, Circle, ?

At first glance, the shapes don't seem to follow a simple "one of each" pattern per row (since Row 2 has two squares).

But let’s look at columns instead:

- Column 1: Circle, Square, Triangle → All three different shapes.
- Column 2: Triangle, Triangle, Circle → Two triangles, one circle.
- Column 3: Square, Square, ?

Hmm, not perfectly consistent.

Let’s try a different approach: Each row contains exactly one of each shape type: Circle, Triangle, Square.

Wait — Row 2 has Square, Triangle, Square → That’s two squares! So that breaks the “one of each” rule per row.

But perhaps it’s about completeness per row — meaning, if you look at the set of shapes in each row, they should contain all three types.

- Row 1: Circle, Triangle, Square → All 3.
- Row 2: Square, Triangle, Square → Only 2 types (Square, Triangle). Missing Circle.
- Row 3: Triangle, Circle, ? → Has Triangle and Circle. Missing Square.

So if we assume the rule is: Each row must contain all three shapes (Circle, Triangle, Square), then Row 2 is broken — unless we’re misinterpreting.

Alternatively, maybe the rule is each column must contain all three shapes.

- Column 1: Circle, Square, Triangle → All 3.
- Column 2: Triangle, Triangle, Circle → Only 2 types.
- Column 3: Square, Square, ? → Needs a Triangle or Circle to complete.

Still inconsistent.

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Step 2: Analyze the Colors



Let’s list the colors in each row:

- Row 1: Blue, Orange, Blue → Two blues, one orange.
- Row 2: Green, Green, Orange → Two greens, one orange.
- Row 3: Blue, Orange, ? → One blue, one orange → needs green to match the pattern?

Wait — look at this:

In Row 1: Two blues, one orange.
In Row 2: Two greens, one orange.
In Row 3: One blue, one orange → so to match the pattern, it should have two of one color and one of another.

If Row 3 already has one blue and one orange, then the missing one should be either blue or orange to make a pair.

But that would give us:
- Two blues, one orange → like Row 1.
- Or one blue, two oranges.

But none of the options are orange or blue circles/squares — except A (blue circle) and D (green circle).

Wait — let’s look at columns for color:

- Column 1: Blue, Green, Blue → Two blues, one green.
- Column 2: Orange, Green, Orange → Two oranges, one green.
- Column 3: Blue, Orange, ? → One blue, one orange → needs a green to complete the pattern? But that doesn’t fit the “two of one, one of another” pattern.

Actually, looking again:

In Column 1: Blue, Green, Blue → Two blues, one green.
In Column 2: Orange, Green, Orange → Two oranges, one green.
In Column 3: Blue, Orange, ? → To match the pattern, it should have two of one color and one of another.

Currently: one blue, one orange → so the missing one should be either blue or orange to make a pair.

That would mean the answer should be blue or orange, which matches options A (blue circle) or B (orange triangle).

But the given answer is D (green circle) — so that contradicts.

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Step 3: Consider Shape + Color Together — Unique Combinations



Let’s list each cell as (Shape, Color):

- Row 1:
- (Circle, Blue)
- (Triangle, Orange)
- (Square, Blue)

- Row 2:
- (Square, Green)
- (Triangle, Green)
- (Square, Orange)

- Row 3:
- (Triangle, Blue)
- (Circle, Orange)
- (?, ?)

Now, let’s think differently: Each row must contain exactly one of each shape, and each color must appear a certain number of times.

Wait — what if we consider that in each row, the set of shapes is {Circle, Triangle, Square}, and the set of colors is {Blue, Green, Orange}, but not necessarily one-to-one.

But Row 2 has two squares — so that breaks it.

Unless... the rule is no shape-color combination repeats in the entire grid.

Let’s check:

- (Circle, Blue) — Row 1, Col 1
- (Triangle, Orange) — Row 1, Col 2
- (Square, Blue) — Row 1, Col 3
- (Square, Green) — Row 2, Col 1
- (Triangle, Green) — Row 2, Col 2
- (Square, Orange) — Row 2, Col 3
- (Triangle, Blue) — Row 3, Col 1
- (Circle, Orange) — Row 3, Col 2
- (?, ?) — Row 3, Col 3

Now, list all unique combinations used:

1. Circle-Blue
2. Triangle-Orange
3. Square-Blue
4. Square-Green
5. Triangle-Green
6. Square-Orange
7. Triangle-Blue
8. Circle-Orange

What’s missing?

Possible shape-color combinations:

- Circle: Blue, Orange, Green → missing Circle-Green
- Triangle: Orange, Green, Blue → all used
- Square: Blue, Green, Orange → all used

So the only unused combination is Circle-Green.

Therefore, the missing cell must be Circle-Green, which is option D.

This fits perfectly!

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Final Answer: D



Because the only shape-color combination not yet used in the entire 3x3 grid is Green Circle, and each combination appears exactly once.

This is a common pattern in IQ tests: each unique pairing of attributes (shape + color) appears exactly once in the grid.

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Answer: D
Parent Tip: Review the logic above to help your child master the concept of printable iq test with answers free.
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