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Solutions
5 Boxes: Box 1, Box 2, Box 3, Box 4 and Box 5.
1) Box 1 is larger than Box 5 but smaller than Box 4.
2) Box 2 is lighter than Box 4 but heavier than Box 3.
Size → Box 4 > Box 1 > Box 5
Weight → Box 4 > Box 2 > Box 3
3) Box 4 is smaller than Box 2.
Size → Box 2 > Box 4 > Box 1 > Box 5
Weight → Box 4 > Box 2 > Box 3
4) Box 5 is larger as well as heavier than Box 3.
Size → Box 2 > Box 4 > Box 1 > Box 5 > Box 3
Weight → Box 4 > Box 2 > Box 3, Box 5 > Box 3
5) Box 1 is lighter than Box 3.
Size → Box 2 > Box 4 > Box 1 > Box 5 > Box 3
Weight → Box 4 > Box 2 > Box 3 > Box 1, Box 5 > Box 3 > Box 1
Hence, Box 1 is the lightest.