The sheet of paper shown in the figure (X) given on the left hand side, in…
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The sheet of paper shown in the figure (X) given on the left hand side, in each problem, is folded to form a box. Choose from amongst the alternatives (1), (2), (3) and (4), the boxes that are similar to the box that will be formed.
Choose the box that is similar to the box formed from the given sheet of paper (X).
- A.
1, 2 and 3 only
- B.
2 and 3 only
- C.
1, 3 and 4 only
- D.
2, 3 and 4 only
Attempted by 38 students.
Show answer & explanation
Correct answer: D
Answer: 2, 3 and 4 only
Explanation:
Key observations when the given sheet is folded into a cube:
The face with the four small symbols is opposite a blank face.
The face bearing a square is opposite another blank face.
The two remaining blank faces are opposite each other.
Check each pictured box against these opposite-face constraints:
Box (1): Fails — in this drawing the face with the four symbols is not opposite a blank face, so this arrangement cannot be produced from the net.
Box (2): Matches the required opposite-face relationships, so it can be formed from the net.
Box (3): Matches the required opposite-face relationships, so it can be formed from the net.
Box (4): The visible faces are blank and do not contradict the opposite-face constraints, so this drawing can also represent the folded net.
Conclusion: Only the pictured boxes 2, 3 and 4 satisfy the face-opposites produced by the net, so the correct choice is "2, 3 and 4 only."