Directions for the following 3 (three) items:
Rotated positions of a single solid are shown below. The various faces of the solid are marked with different symbols like dots, cross and line. Answer the three items that follow the given figures.
What is the symbol on the face opposite to that containing a single dot?
Correct Answer: Option B
Explanation
1. First, I look for a common element to anchor my perspective. I notice that the face with the 'Line' symbol (-) is on the top in Views (I), (II), and (III). This acts as my fixed axis.\n2. Now, I observe the side faces as if the cube is rotating around this 'Line' axis.\n3. In View (I), the 'Single Dot' (.) is followed by 'Two Dots' (..).\n4. In View (II), the 'Two Dots' (..) is followed by 'Three Dots' (...).\n5. In View (III), the 'Three Dots' (...) is followed by 'Four Dots' (::).\n6. By chaining these observations [57], I get a sequence of faces around the cube: (.) -> (..) -> (...) -> (::).\n7. In any 4-face cycle on a cube, the face at position 1 is opposite the face at position 3.\n8. Therefore, the 'Single Dot' (1st position) is opposite the 'Three Dots' (3rd position) [6].\n9. The answer is Three Dots.
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