Plz give me the true statements The local Game Shop has 120 board games, and 46
ID: 3110672 • Letter: P
Question
Plz give me the true statements The local Game Shop has 120 board games, and 46 video game titles each of which works on one of 5 video games systems. Select the statements below which are guaranteed to be true (and none that are NOT guaranteed to be true) At least 12 video games work on the same system. There are at least 5 board games whose name starts with the same letter of the alphabet. If every video game is on sale for exactly one day in May (there are 31 days in May), there will be a day in May when two or more video games are on sale. Assume all the board game, cost less than $50, and all have prices ending in 99 cents: three or more games must have the same price.Explanation / Answer
II, III, IV statements are correct.
II. Suppose you distribute board games to every letter of alphabet to minimise the distribution of board games to alphabets. Now, 120 = 26*4 + 16
That means that At least 16 board games will get alphabets similar to 4 other board games. Hence the Statement is guaranteed to be true.
III. 46 = 31 + 15. Therefore We need to sell these 15 video games along with those 31. Hence the statement is true.
IV. Assuming they will cost only positive amount of money. i.e 0,99 to 49,99. i.e 50 possible prices.
Now, 120 = 50*2 + 20. It means that there are at least 20 Board games with price similar to 2 other board games.
Hence, this statment is also true.