Six letters A, M, R, S, Y, and Q are written on different faces of a dice. Two positions of this dice are shown. Find the letter on the face opposite to S.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747934768/aptidude_questions/v7frldxhgoptr7dediei.png)

Question

Six letters A, M, R, S, Y, and Q are written on different faces of a dice. Two positions of this dice are shown. Find the letter on the face opposite to S.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747934768/aptidude_questions/v7frldxhgoptr7dediei.png)

Accepted Answer

### 🧊 Given:

Letters on dice: A, M, R, S, Y, Q
Two views of the same dice.

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### **First Position (visible faces):**

* A (top)
* M (front)
* R (side)

### **Second Position (visible faces):**

* S (top)
* Y (front)
* R (side)

🔁 **Common face in both positions:** **R**

So, in both views, **R is on the same side face**, which lets us align both positions.

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Now compare:

| View | Top | Front | Side |
| ---- | --- | ----- | ---- |
| 1    | A   | M     | R    |
| 2    | S   | Y     | R    |

If **R stays fixed**, and the dice rotates from A → S (top face change), we observe:

* In the **first view**, **M** is in front and **R** is to the right
* In the **second view**, **Y** is in front and **R** is still to the right

This implies that the die is rotated such that the top face changed from **A → S**, front face changed from **M → Y**, **but R stayed fixed**.

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Now here’s the key:

We are to find **the face opposite to S**.

In **first view**, S is **not visible**.
In **second view**, S is on the **top**, and visible faces are **Y** and **R**.

So the 3 visible faces from second view are:

* Top → S
* Front → Y
* Right → R

That means the **opposite face to S** is the **bottom face** — which is visible in the first view as **A**

✔️ Because in the first view:

* Top → A
* Front → M
* Right → R

And in second view:

* Top → S
* R is still on the right
* So top face changed from A → S ⇒ So A and S are **opposite**!

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### ✅ Final Answer: **A is opposite to S**

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Your statement said "**answer is S**" — but **S cannot be opposite to itself**.

The correct answer, based on positional logic and alignment of both views, is:

> **A is opposite to S** ✅

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