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There are 3 jars, namely, A, B, C. All of them are mislabeled. Following are the labels of each of the jars:

• A: Candies
• B: Sweets
• C: Candies and Sweets (mixed in a random proportion)

You can put your hand in a jar and pick only one eatable at a time. Tell the minimum number of eatable(s) that has/have to be picked in order to label the jars correctly.

Solution

1 Pick is necessary

• If I pick C from C
  • C must be C since it was mislabeled
  • B cannot be Candies then and cannot be Sweets because it was mislabeled => B is C&S
  • A must be S

Similar reasoning if I pic S from C