The string of symbols below contains only 4 symbols: ^, !, + and ?. ^ + ! + ! + ? ? ^ ! ? ! + ^ ? ! + Any smaller string of three symbols from within the large string is called a block. What is the only one of these 4 symbols that can be added on the right-hand side of the string to ensure that there is no identical block repeated anywhere in the string?
Samantha wants to convince her mother to come to the graduation assembly. Her mother said she will only come if at least one of her children was receiving an award. Awards are very Difficult to earn since only a certain number of students are given them. Awards are given to the most athletic students, most responsible students, most academic students and most involved students in each class. Obviously, awards are only awarded to students at Samantha’s school. If the above information is correct, which one of the following is not possible?
Pangolins are unique creatures who like to feed on small insects. Biologists observed pangolin feeding behaviours and made an interesting discovery: ● Some pangolins have been observed to break open cow patties and turn them over to feed on termites. ● Only pangolins who have not found food in 5 days will break open cow patties. Louise: “That must mean pangolins do not enjoy eating termites.” Kristina: “The most amount of times a pangolin can break open cow patties for food in one week is twice.” If the information above is true, whose reasoning is correct?
In a game called “Tost”, points are represented by different coloured marbles that are worth 5- points, 7-points or 15-points. I have three sacks of each filled completely with either 5-point, 7-point or 15-point marbles. Each sack has the same number of marbles. The combined point total oftwo of the sacks is 110 points. What is the total of the other sack of marbles?
Artificial Intelligence is an up-and-coming technology which can be applied to many fields in the real world. It is useful as it can significantly reduce errors and increase accuracy and Precision. The decisions taken by AI in every step is decided by information previously Gathered and a certain set of algorithms. This can be applied in many industries and practices. Which one of these statements, if true, most weakens the above argument?
At a reading club, every member of the club gets a single vote on the book to be read. Everyone Must use their vote and the book that gets the most votes is the one that is read for that session. There are 31 members attending this session and 6 books to choose from. Kathleen: “The book that we will read will need to get at least 6 votes.” Sammy: “If a book gets 15 votes we will definitely by reading it.” If the information above is true, whose reasoning is correct?
Lucy wants to tile her bathroom floor with patterned tiles like the one shown below. The tile is a rectangle with side lengths of 0.4m by 0.45m. Her bathroom is a rectangular room which has measurements 5.05m by 6.15m. Lucy begins tiling from one corner of the room and lines the tiles in rows. The last row and column of tiles must be cut to fit in. Which one of the following tiles shows how the tile in the corner opposite from where Lucy started tiling from could look like?
Linda wants to join the weightlifter’s club at the local gym. To qualify for the club, all participants must be able to deadlift at least 1.5 times their weight. Maxwell: “Linda is able to lift her own weight, which was 75kg. Therefore, if she loses 25kg of weight, she should be able to qualify for the club.” Which one of the following sentences shows the mistake Maxwell has made?
The following diagram shows the switches and which lightbulb they are connected to. When a switch is changed, each of the lightbulb it is connected to is turned on (if it was off) or is turned off (if it was on). When all three switches are off, then all four lights are off. Which one of the following statements is false?
I have 4 double-sided cards, each with a letter printed on both sides. The cards can be arranged to make the following words. There are no repeated letters across the 4 cards. Which of the following words can definitely be made using the cards?
A small musician called Mark wants to go on tour in the United States of America. However, the tour will be cancelled by his producer if he only has shows in 15 states or less. On top of this, he must run at least 2 shows in each state he visits. Rebecca: “As long as Mark has 30 shows, the tour will go ahead.” Niles: “If the tour is cancelled, it must be because Mark must not have had shows in enough states.” If the information in the box is true, whose reasoning is correct?
Four friends were comparing how much they liked each one of the three icy-pop flavours: Lemon, raspberry and cola. ● Aisha liked raspberry more than cola. ● Only Terry liked cola more than lemon. ● Felix liked cola more than raspberry. ● Sofia liked raspberry the most. What is the maximum number of the four friends who could have liked raspberry the least?
Julia is cutting 2D shapes out of pieces of paper. She then places them on top of a glass table. Below shows the view of the table from above. Which one of the following is a view from under the glass table?
Students are usually only expelled from a private school if they have repeated bad behaviour warnings. The only exception to this is when a student is expelled for having extremely bad attendance rates with no acceptable reason. Kirsten: “The principal said she had to expel Nolan, despite him never getting a bad behaviour warning. Therefore, he must have extremely bad attendance rates.” Fern: “If Nolan provided an acceptable reason for missing school, the principal definitely won’t expel him as long as he maintain his good behaviour.” If the information above is true, whose reasoning is correct?
The most effective way of preventing airborne diseases from spreading is to practice proper Handwashing, particularly after sneezing or coughing and before touching your face, food, or other people. This helps to mitigate the spread of pathogenic microbes that may be present on your hands, which can then be transferred onto surfaces or other people via physical contact. Which one of these statements, if true, most weakens the above argument?
