O As an experiment in arithmetic, the 112 pupils of the Mena School are each giv

Question

O As an experiment in arithmetic, the 112 pupils of the Mena School are each given a card with one side yellow and the other side green, and both sides numbered with the same number, between 1 and 112; each receiving a distinct number. At the start all pupils are to show the yellow side of the card, and a caller is going to consecutively call numbers starting at 1 and ending with 112. If a student is holding a card that is a multiple of the number called, the student then flips the card to the other side-from green to yellow or from yellow to green as the case may be. At the end, which cards show green? What is the answer to the question if the caller calls all the numbers but not necessarily in order? Suppose the game is played so that once the card shows green it is never turned back. What is the minimum number of calls in any order) he has to make to have exactly only one yellow card showing?

Explanation / Answer

1. No card show green colour. On call of every number the user will flip the card and flip because every number has multiple, starting from 2. so, at the end the number will be 112 which is again a even number. so, every card will show yellow colour. no card will show green colour. 2. Then, again all the cards show yellow colour. 3. minimum number is 3.

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