Question
Download Solution PDFThree positions of a cube are shown below. Which numbers will come on two faces marked 'A' and 'B' in the fourth position?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
From cube I and II
As, 2 and 5 are common in both cube so, 4 will opposite to 6.
From cube I and III
As, 2 and 4 are common in both cube so, 5 will opposite to 1.
Opposite pairs.
4 ⇔ 6
5 ⇔ 1
3 ⇔ 2
Now checking for the value of A and B in IV cube.
Option 1) (4, 2)
These values cannot be possible for A and B as 3 is opposite to 2. So, 3 and 2 cannot be placed in adjacent sides.
Option 2) (5, 2)
These values cannot be possible for A and B as 3 is opposite to 2. So, 3 and 2 cannot be placed in adjacent sides.
Option 3) (6, 5)
These values are possible for A and B as, no opposites pairs are on adjacent.
Option 4) (6, 2)
These values cannot be possible for A and B as 3 is opposite to 2. So, 3 and 2 cannot be placed in adjacent sides.
So, the values for A and B is (6,5)
Hence, the correct answer is "Option 3".
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