In order to become a fire and rescue officer, an individual must excel physically as well as have Courage. These qualities ensure that fire and rescue units are able to withstand dangerous situations in order to preserve the lives of others. Lucy: “Anderson is extremely fit physically, however, lacks courage, therefore he can not become a fire and rescue officer.” Troy: “Mark is a fire and rescue officer, therefore, he must have courage.” If the information is true, then whose reasoning is correct?

Jason has a bag filled with red and purple marbles. He knows there are 11 red marbles but is unsure of how many purple marbles are inside. He begins drawing out marbles one at a time. He draws out 8 marbles, 5 of which are red and 3 are purple. If his next marble has a 1 in 4 chance of being red, How many purple marbles were there in total?

Patricia is at the market and sees a battered vintage wooden table for $180. She buys it and spends $120 on materials restoring it. She then resells it for 150% total profit over all her expenses. How Much did she sell the table for?

Getting a pet dog can be extremely exciting, however, taking care of one can be an enormous Responsibility. Dogs require routine veterinarian check-ups and also demand large amounts of time to keep them happy. Peter advises against people living alone getting a pet dog. Which of the following statements could express the reasoning behind Peter’s argument?

Tommy and Vanessa both run a 24km marathon. If Tommy runs at 3km/h whereas Vanessa runs at 4.5 km/h, how much longer than Vanessa did Tommy take to run the marathon?

The popular chips brand, Smith’s, is running a promotion where if you buy two different flavours of their chips in the same transaction, you are automatically entered into a draw for a brand new car. Rachael: “I bought three packets of Smith’s chips for the party so I will be automatically entered into the draw.” Carly: “I purchased Smith’s BBQ chips and Smith’s Salt & Vinegar chips yesterday so I will win a brand new car.” If the information above is true, whose reasoning is correct?

A laboratory is mass raising rodents for testing purposes. Every week the amount of rodents Doubles. The scientists currently require 1200 rodents in total for their next experiment. Currently, the laboratory only has 15 rodents left. How many weeks will they need to have enough rodents for experimentation.

Jill wants to start a small band with her friends as she enjoys performing music. Which of the following statements are not a valid reason or advantage to start a band?

All Nads are either Bads or Lads. All Lads cannot be Tads but Sads can be Lads. Lads that are Nads cannot be Sads. If all the above statements are true, then which of the following statements must definitely be true?

Jacky is making a necklace out of gold, silver and bronze chain links. The first chain link in the Necklace is silver then followed by two gold links and then two bronze links. He then repeats this pattern of chain links. How many bronze links has she used if the necklace currently has 59 links in total?

Derrick has a 180ml bottle of concentrated Cordial. He must dilute the concentrate with water in a 1.3 ratio to make a Cordial drink. What is the most amount of Cordial drink Derrick can make with the entire bottle of concentrated Cordial?

All people are either tactical or careless but not both. Everyone who is careless is also nonchalant. If all the above statements are true, then which of the following could also be true?

A remote island country uses a special currency involving differently shaped coins. 1 bop is Represented by a triangle shaped coin, 2 bop is represented by a pentagon shaped coin and 5 bop is represented by a hexagon shaped coin. Tristan has 9 coins in total. If he counts the amount of sides on all of his coins, there are 46 sides in total. If Tristan has the same amount of 1 bop coins as 2 bop coins, what is the highest possible value of the 9 coins?

Felix: “The new school captain was introduced in January. The school canteen shut down in February of the same year. Therefore, the new school captain is responsible for the school canteen closing Down.” Which of the following describes the flaw in Felix’s argument?

One of the major issues with running large music concerts is the amount of noise pollution created which disturbs the locals’ lifestyles. Richard: “There has been an increase in insomnia in individuals living in city areas, therefore, large music concerts should be banned from running late at night.” If the information above is true, then which best describes the flaw that Richard has made in his statement.