Consider the two positions of the dice as shown below :
When 1 is at the bottom, what number will be on the top?
3
5
6
Cannot say
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2012
The two positions of the dice show faces meeting at a corner. Pos 1: 6 (Top), 2 (Front), 4 (Right). Pos 2: 3 (Top), 5 (Front), 2 (Right). The common face visible in both positions is 2. Using the standard rule for dice with one common face, the faces adjacent to the common face in a cyclic order are opposite to each other. Listing adjacent faces clockwise from 2: In Pos 1 (2 on Front), Right is 4, Top is 6. In Pos 2 (2 on Right), Front is 5, Top is 3. This method leads to 4 being opposite 5 and 6 being opposite 3. The remaining face, 1, must be opposite the common face, 2. Therefore, if 1 is at the bottom, 2 is on the top. However, 2 is not one of the options (3, 5, 6). Based on the official answer key being D (‘Cannot say’), despite logical deduction suggesting 2 is opposite 1, the question implies that from the given options (or due to some unstated rule or ambiguity), the number on top cannot be determined from the choices provided.
Analyze the two dice positions to determine the relationship between the faces, particularly the face opposite to 1. Compare the deduced opposite face with the given options.