Find the Shape Group That Fills the Empty Cell in a 3×3 Grid
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Key Takeaway
Yesterday's Quiz 2 answer: pull out just one sock from the "Mixed" drawer. Today's Quiz 3 asks you to find the row and column rules in a 3×3 grid and fill the empty cell. The answer goes up tomorrow.

What was yesterday's answer?
Quiz 2 was about fixing three sock drawers whose labels were all wrong. The answer is one sock from the drawer labeled "Mixed."
- The "Mixed" label is wrong too, so that drawer holds only black socks or only white socks. One sock tells you which.
- If the sock you pulled out is black, that drawer is the black socks drawer.
- The drawer labeled "White socks" cannot hold white socks, and the black socks drawer is already settled, so it is the mixed drawer.
- The remaining drawer, labeled "Black socks," is the white socks drawer. If a white sock comes out instead, the same method works.
| Label on the drawer | What it actually holds if a black sock comes out |
|---|---|
| Mixed | Black socks |
| White socks | Mixed |
| Black socks | White socks |
What is today's puzzle?
In the 3×3 grid below, find the group of shapes that goes where the question mark is.
| Column 1 | Column 2 | Column 3 | |
|---|---|---|---|
| Row 1 | ● | ●● | ●●● |
| Row 2 | ▲▲ | ▲▲▲ | ▲ |
| Row 3 | ■■■ | ■ | ? |
- Choices: ① ■ ② ■■ ③ ■■■ ④ ▲▲
- Difficulty: ★★☆☆☆
- Suggested time: 3 minutes
Where should you start?
First, see how the type of shape is decided within a row. Then count the shapes in each row and each column and write the counts down. Check both the row direction and the column direction, and the answer narrows to one.
When can you check the answer?
The answer and explanation go up tomorrow (October 16) morning, at the very top of the Quiz 4 post. Write down your choice number and your reason, and compare them tomorrow.
Why do shape pattern puzzles come up so often?
Mensa Korea describes its online brain test as looking at pattern recognition, logical thinking, and overall cognitive ability (checked 2026-10-13). Puzzles about the rule behind shapes in a grid lean on pattern perception rather than language or arithmetic skill, so they are often used to practice this type. Mensa International's standard for joining is a top 2% score on an approved intelligence test, and this puzzle is for practice, not that test.
Frequently Asked Questions
What is the answer to Quiz 2?
Pull out just one sock from the drawer labeled "Mixed." That drawer holds a single color, so one sock settles its contents and the other two drawers follow.
When does the Quiz 3 answer come out?
It goes up with the explanation at the very top of the Quiz 4 post, published the next day.
Do the position or direction of the shapes matter?
No. In this puzzle you only need to look at the type and number of shapes.
Sources & Verification Date
- Mensa International membership requirements guide · Verified
- Mensa Korea online brain test introduction · Verified
All materials have been verified from official announcements and may have changed since verification.