Three positions of the same die are shown. Which face is opposite the face with 'Black'?

Green. The views show 'Black' next to 'Grey', 'Blue', 'Red', 'Pink'. A face is next to every face except the one opposite it, so the only one never seen next to 'Black' - 'Green' - is opposite it.

Two positions of the same die are shown. When the face with '=' is at the bottom, which face is on top?

#. Two views share '%'. Reading each view in the same turning order starting from '%' ('%' → '#' → '' and '%' → '=' → '?'), faces in matching positions are opposite: '#' with '=', and '' with '?'. So '=' is opposite '#'. The top face is always opposite the bottom face.

Two positions of the same die are shown. Which face is opposite the face with 'Black'?

Green. The views show 'Black' next to 'Brown', 'Red', 'White', 'Pink'. A face is next to every face except the one opposite it, so the only one never seen next to 'Black' - 'Green' - is opposite it.

Four positions of the same die are shown. When the face with 3 dots is at the bottom, which face is on top?

2 dots. Two views share 5 dots. Reading each view in the same turning order starting from 5 dots (5 dots → 2 dots → 6 dots and 5 dots → 3 dots → 1 dot), faces in matching positions are opposite: 2 dots with 3 dots, and 6 dots with 1 dot. So 3 dots is opposite 2 dots. The top face is always opposite the bottom face.

Four positions of the same die are shown. Which face is opposite the face with 'Green'?

Black. Two views share 'Brown'. Reading each view in the same turning order starting from 'Brown' ('Brown' → 'White' → 'Black' and 'Brown' → 'Blue' → 'Green'), faces in matching positions are opposite: 'White' with 'Blue', and 'Black' with 'Green'. So 'Green' is opposite 'Black'.

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Non Verbal Reasoning · Cubes & Dice

Dice — Questions & Answers

Dice questions show two or more positions of the same die and ask which face is opposite a given one, or what is on top when a face is at the bottom. Each face touches every face except the one opposite it.

5 solved questions
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How to approach

The four faces seen next to a face are all adjacent to it; the one never seen next to it is opposite.
If two positions share one face, read both in the same turning order from that face: faces in matching places are opposite.
The face on top is always opposite the face at the bottom.

5 solved Dice questions

Try each question first — tap an option to check your answer, or open Learn step by step for a guided walkthrough.

01
Three positions of the same die are shown. Which face is opposite the face with 'Black'?
4 steps · reveal one at a time
1. Step 1: List adjacent faces
  The problem shows different views of a single die. We need to find which face is opposite 'Black'. From the views, we can see that 'Black' is adjacent to 'Grey', 'Blue', 'Red', and 'Pink'.
2. Step 2: Opposite face rule
  On any standard die, each face has four adjacent faces and exactly one opposite face. This means that a face is next to every other face except the one directly opposite it.
3. Step 3: Determine the opposite
  We've identified four faces ('Grey', 'Blue', 'Red', 'Pink') that are adjacent to 'Black'. Since there are only six faces on a die, the one face never seen next to 'Black' must be the one opposite it.
4. Step 4: The answer
  So the answer is (D) Green. 'Green' is the only face not listed as adjacent to 'Black', making it the opposite face.
02
Two positions of the same die are shown. When the face with '=' is at the bottom, which face is on top?
5 steps · reveal one at a time
1. Step 1: Find the common face
  First, look for a face that appears in both views of the die. The verified solution establishes that the face with '%' is common to both positions shown.
2. Step 2: Trace faces in order
  Starting from the common face '%', trace the faces in the same direction (e.g., clockwise) for both views. The solution traces one view as '%' $\rightarrow$ '#' $\rightarrow$ '*' and the other as '%' $\rightarrow$ '=' $\rightarrow$ '?'. This helps establish relative positions.
3. Step 3: Identify opposite pairs
  When you trace faces from a common point in the same order, the faces that appear in corresponding positions are opposite to each other. Following this, the solution states that '#' is opposite '=', and '*' is opposite '?'. The common face '%' is opposite the remaining unseen face.
4. Step 4: Determine the top face
  The question asks which face is on top when '=' is at the bottom. Since the top face is always directly opposite the bottom face, we need to find the face opposite to '='. From the previous step, we know that '=' is opposite '#'.
5. Step 5: The answer
  So the answer is (D) #. When '=' is at the bottom, the face opposite it, '#', will be on top.
03
Two positions of the same die are shown. Which face is opposite the face with 'Black'?
3 steps · reveal one at a time
1. Step 1: Identify adjacent faces
  From the given positions of the die, we can see that the face 'Black' is adjacent to 'Brown', 'Red', 'White', and 'Pink'. These are four of the six faces on the die.
2. Step 2: Opposite face rule
  On any standard die, each face is adjacent to four other faces. The only face it is not adjacent to is the one directly opposite it.
3. Step 3: The answer
  So the answer is (A) Green. Since 'Brown', 'Red', 'White', and 'Pink' are adjacent to 'Black', the only remaining face, 'Green', must be opposite 'Black'.
04
Four positions of the same die are shown. When the face with 3 dots is at the bottom, which face is on top?
4 steps · reveal one at a time
1. Step 1: Find Common Face
  We look for two views of the die that share one common face. The solution states that two views share 5 dots. This common face will be our reference point for comparison.
2. Step 2: Trace Turning Order
  Starting from the common face (5 dots), we trace the faces in the same turning order for both views. This reveals two sequences: $5 \rightarrow 2 \rightarrow 6$ and $5 \rightarrow 3 \rightarrow 1$ .
3. Step 3: Identify Opposite Faces
  When comparing these sequences, faces in matching positions are opposite. The solution establishes that 2 dots are opposite 3 dots, and 6 dots are opposite 1 dot.
4. Step 4: The answer
  So the answer is (B) 2 dots. Since the top face is always opposite the bottom face, if 3 dots are at the bottom, then 2 dots must be on top.
05
Four positions of the same die are shown. Which face is opposite the face with 'Green'?
5 steps · reveal one at a time
1. Step 1: Identify Common Face
  To find opposite faces, we look for two views of the die that share only one common face. The solution establishes that two views share the face 'Brown'.
2. Step 2: Establish First Sequence
  Starting from the common face 'Brown', we follow a consistent turning order (e.g., clockwise) for one view. This gives us the sequence: 'Brown' $\to$ 'White' $\to$ 'Black'.
3. Step 3: Establish Second Sequence
  Now, for the second view, we start from 'Brown' again and follow the exact same turning order. This reveals the sequence: 'Brown' $\to$ 'Blue' $\to$ 'Green'.
4. Step 4: Determine Opposite Faces
  By comparing the faces in matching positions in these two sequences, we find the opposite pairs. 'White' is opposite 'Blue', and 'Black' is opposite 'Green'. Therefore, 'Green' is opposite 'Black'.
5. Step 5: The answer
  So the answer is (B) Black, because the comparison of the two rotational sequences clearly shows 'Black' is opposite 'Green'.

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