Instruction: Consider your student number 20XY - abcde - MN - 0. Let L = a + b + c + d + e. If L has a remainder I when divided by 4, then answer item number 1. If L has a remainder 2 when divided by 4, then answer item 2. If L has a remainder 3 when divided by 4, then answer item 3. If L is divisible by 4, then answer item 4. DO NOT CONSULT TO ANYONE EXCEPT YOUR INSTRUCTOR. 1. Consider the following conversation. Paul: Alsafat telling a lic. Alsafat: I am telling a lic. Emman: Paul telling a lie. Suppose that exactly one of them telling a truth. Who is telling a truth? 2. Jona try to solve the value of ~ ~ using calculator. She inputs x + y + z and the result is 12. For clarification, she inputs y + x + z and the result is 9. Lastly, Jona concludes that her input is wrong So, she input (x + y) + z and the result is 7. In the story, find the value of x + y + z. 3. A basket contains a number of eggs. The first buyer bought ; of the contents of the basket with one free. Then the second buyer bought also one-half of the contents of the remaining and got one free. The same for the customer who bought : of the contents with one free, until the fourth and last buyer who bought the half of the remaining with one free and nothing left. How many eggs were in the basket? 4. A gambler walks through three casinos. Upon entering, he paid P1000.00. He won and doubled all his money in a card game. He again paid P1000.00 as he walked out of the casino. In the second casino, he paid P1000.00 as he entered, doubled his money upon winning. He paid again P1000.00 as he left. He did the same in the third casino but upon leaving, he had nothing left. How much was his original amount of money