How many cartons are lighter than

Solution

There are at most three cartons heavier than G. E is heavier than G but not the heaviest. _____  >  _____ >  E  >  G  > ____  >  ____  …… (i) _____   > E > _____  > G  > ____  >  ____  …… (ii) _____   > E  > G  > _____  >  _____  > _____ ….. (iii) F is heavier than H, which is not the lightest. F is lighter than I. I  >  F  >  E >  G > H  > D  …… (i) I > E > F  > G  > H >  D  …… (ii) I > E  > G  > F  >  H > D  ….. (iii) F is neither second heaviest nor immediately heavier than H. I  >  F  >  E >  G > H  > D  …… (i) Discarded I > E > F  > G  > H >  D  …… (ii) I > E  > G  > F  >  H > D  ….. (iii) Discarded The final arrangement is as follows: I > E > F > G > H > D