Six letters Q, Z, V, T, L and A are written on different faces of a dice. Two positions of this dice are shown in the figures below. Find the letter on the face opposite to Q.
Correct Answer :
T
Solution :
To find the letter on the face opposite to Q, we analyze the two given positions of the dice shown in the image:
Position 1: The visible faces are Q (top), Z (left-front), and V (right-front).
Position 2: The visible faces are T (top), L (left-front), and V (right-front).
Since the letter V is present on the right-front face in both positions, we can determine the arrangement of the faces surrounding it:
1. From the first position, V is adjacent to Q and Z.
2. From the second position, V is adjacent to T and L.
3. Since V is adjacent to Q, Z, T, and L, the only remaining face of the six-sided dice (which has letters Q, Z, V, T, L, and A) is A. Therefore, the face opposite to V is A.
Now, let's look at the remaining four faces (Q, Z, T, L) that form a ring around V:
- In the first position, looking at the face V, the face Q is at the top and Z is to its left (moving counter-clockwise from top to left: Q to Z).
- In the second position, looking at the face V, the face T is at the top and L is to its left (moving counter-clockwise from top to left: T to L).
- To maintain this cyclic order (Q → Z → T → L), the face opposite to Q must be T, and the face opposite to Z must be L.
Thus, the letter on the face opposite to Q is T.
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