Week 2 Selective TSA Trial Test

Max tells the truth on Monday, Tuesday, Wednesday, and Thursday. He lies on all other days. Dieter tells the truth on Monday, Friday, Saturday, and Sunday. He lies on all other days. One day they both said, ‘Yesterday I lied’.

What day did they say that?

A. Monday
B. Wednesday
C. Thursday
D. Friday

“Students will not be allowed to return to school on October 25th if he or she is sick.”

If the information is true, which of the following is also true?

A. If a student is fit, he or she will certainly be allowed to return to school.
B. If a student attends school on October 25th, then he or she is not sick.
C. If a student does not attend school on October 25th, he or she must be sick.
D. If a student does not attend school, he or she likely has COVID-19.

Joshua: “Samsung Blu-Ray systems will be more popular than Apple Blu-Ray systems because it has more features like 3D TV and Live Streaming.”
Sam: “Sony Blu-Ray systems will be the most popular as they stream in 4K natively.”

If the boxed information is true, whose reasoning is correct?

A. Joshua only
B. Sam only
C. Both Joshua and Sam
D. Neither Joshua nor Sam

Some of Alina’s friends are in the coding club. If you are in the coding club, then you receive a free laptop. If you do not have a laptop, then you are not able to code with the program, Python. Alina wants to code with the program Python with her friend Harriet, but Harriet says she is not able to code.

Which of the following statements must be true?

A. Harriet does not have a laptop.
B. Harriet is not in the coding club.
C. If Harriet was in the coding club, then she would be able to code using Python.
D. None of the above

“Only a good mathematician can be a good statistician.”

If the information is true, which of the following is also true?

A. A non-mathematician can be a good statistician.
B. A non-statistician cannot be a good mathematician.
C. A non-mathematician cannot be a good statistician.
D. A weak statistician cannot be a good mathematician.

In Homebush Olympic park, there are a total of 9 bicycles and unicycles in a path. Amy counted 13 wheels.

How many bicycles are there on the path?

A. 3
B. 4
C. 5
D. 6

Pedro will not go to the movie if Martin goes. Martin will go to the movie if his dog barks three times.

Based only on the information above, which of the following must be true?

A. Martin will not go to the movie unless Pedro goes.
B. If Pedro goes to the movie, then Martin’s dog will bark three times.
C. If Martin’s dog does not bark three times, then Martin will not go to the movie.
D. If Martin’s dog barks three times, then Pedro will not go to the movie.
E. If Pedro doesn’t go to the movie, then Martin will go.

There is an archipelago of 3 islands near New Zealand: Cerulean, Diamond, and Emerald. On the 3 islands live 3 types of llamas: Coggies, Poggies, and Xeros.
The following are all true facts well known to sailors in this part of the world:
There are no Coggies on Diamond island.
All the llamas on Emerald island are Xeros.
Coggies and Poggies are the only types of a llama on Cerulean island.
Brandon, a shipwrecked sailor lands on one of the islands. He sees a llama which he thinks is a Xeros.

Which island does the sailor think he is definitely NOT on?

A. Cerulean
B. Diamond
C. Emerald
D. Inadequate information

Rebecca is going on an adventure camp. Everyone who attends this camp has to play either Oztag or netball. No one at camp plays both sports. If you do not play netball, then you will be eligible for the Oztag tournament held at the end of camp. Rebecca will not be eligible for the final Oztag tournament.

Which of the following statements must be true?

A. Rebecca is going to play netball at camp.
B. Rebecca does not like Oztag.
C. Rebecca is going to play in the netball tournament at the end of camp.
D. If Rebecca had not gone to camp, she would not have been able to play netball or Oztag.

Five students walked into a classroom, one at a time.
1. Jack walked in after Adam.
2. Benton came in before Jack but after Wilson.
3. Zoe entered after Wilson, but before Adam.

Which student or students could possibly have walked into the room second?

A. Only Zoe
B. Only Jack
C. Only Benton
D. Benton or Zoe

“To cast a vote in the next Australian election, a candidate must be at least 18 years of age.”

If the information is true, which of the following is also true?

A. To be ineligible to cast a vote, one must be at least 18 years old.
B. A person below 18 years cannot cast a vote.
C. A person below 18 years may cast a vote.
D. To be eligible to cast a vote, one must be below 18 years old

All of the students at East High School who are 180cm or taller have been invited to try out for the swimming team. Four of Tom’s peers were invited to try out for the swim team, but two were not invited. Tom is 180cm tall.

Which of the following statements must be true?

A. Tom will swim for his school team.
B. There are some students at Tom’s school who are shorter than him
C. None of Tom’s friends will be on the swim team.
D. If you are 190cm or taller, you will certainly get into the swim team.

When Amy, Betty, and Cheryl eat out, each order either beef or chicken.
If Amy orders beef, Betty orders chicken.
Either Amy or Cheryl orders beef, but not both.
Betty and Cheryl do not both order chicken.

Who could have ordered beef yesterday and chicken today?

A. Amy
B. Betty
C. Cheryl
D. Both Amy and Cheryl

Dana scored 240 on the OC Test while Kiara scored 111 on the new Selective Schools Test. Therefore, Dana performed much better than Kiara did.

Which of the following is the flaw in the argument?

A. The argument does not consider the possibility that Dana’s score could be a fluke.
B. The argument does not consider the past academic records of Dana and Kiara.
C. The argument arrives at an extreme conclusion on the basis of unverified data.
D. The argument ignores the possibility that the Selective Schools Test and the OC Test may have different scoring systems.

In a foreign language class for students who know nothing of the language being taught, those who have already studied another foreign language do much better at first than those who have had no previous foreign language training. After about three months, both groups perform at the same level.

Which of the following conclusions is best supported by the information above?

A. Students with previous foreign language training studied more at the beginning of the course.
B. Many foreign languages are very similar to one another.
C. The ability to learn a new language is initially increased by previous experience in learning a new language.
D. Advanced knowledge of one subject can interfere with an attempt to learn a new subject.

Each of Andrew, Bill, Clair, Daniel, and Eva either always lies or is always truthful, and they know which each of them is. Andrew says that Bill is a liar. Bill says that Clair is a liar. Clair says that Daniel is a liar. Daniel says that Eva is a liar.

What is the largest possible number of liars?

A. 1
B. 2
C. 3
D. 4

Dr. Kumar is scheduled to see a number of patients during the first week of October. Although his first patient is scheduled for tooth extraction, at least two are not. All but three of his patients are coming for yearly check-ups.

What is the fewest number of patients that Dr. Kumar can be scheduled to see during the first week of October?

A. 3
B. 4
C. 5
D. 6

Scientists are able to predict the occurrence of earthquakes with a reasonable degree of accuracy using a device called a seismograph. In 1990, scientists used a seismograph to predict that city X would experience a major earthquake in 1994. But no major earthquake actually occurred.

Based only on the information above, which of the following statements is a valid conclusion?

A. City X will probably experience a major earthquake in the next few years.
B. Natural disasters are impossible for scientists to predict.
C. Scientists are currently researching other ways of predicting earthquakes.
D. Seismographic predictions are not always reliable.

All pathologists are scientists. Some of the assistants at the laboratory are pathologists. None of the technicians at the laboratory are assistants.

If the above statements are true, which of the following must also be true?

A. Some scientists are assistants at the laboratory.
B. All of the lab assistants are scientists.
C. None of the technicians at the laboratory are pathologists.
D. Some of the laboratory technicians are not scientists.

Carla gave three different sports cars a test drive.

Car A was faster and sleeker than Car B.
Car C was cheaper than Car A but not as fast.
Car B was cheaper than Car C but not as sleek.

Based only on the information above, which of the following must be true?

A. Car C was the slowest car.
B. Car A was the most expensive car.
C. Car B was more expensive than Car C.
D. Car C was the sleekest car.

Since Fred was accepted to Sydney Law School, he must have studied very hard.

Which one of these statements, if true, provides the most support for the above conclusion?

A. Few of Fred’s friends expected him to be accepted to Sydney Law School.
B. Sydney Law School is among the most difficult law schools to be accepted to.
C. Fred lacks the ability to pass his law school entrance exams without studying.
D. Only people who study very hard are accepted to Sydney Law School.

Amas have 4 spots. Bamas have 9 spots.

Altogether some Amas and Bamas have 48 spots.

How many Amas are there?

A. 3
B. 4
C. 5
D. 6

The actor who played the Tin Man in the movie The Wizard of Oz was not the first choice to play that role. Another actor was cast for the role but had to be replaced because he was allergic to the makeup for the role.

Which of the following conclusions can be drawn from the above information?

A. The originally cast actor was generally considered a better actor than his replacement.
B. Actors can be allergic to the makeup used in films.
C. It is very unusual for actors to be allergic to makeup.
D. The originally cast actor had to give up his acting career because of his unusual illness.

Scholarly students who study less than 30 minutes a day score an
average of 60% on weekly trial tests.

On the other hand, those who study 30 minutes to 1 hour a day score an average of 65%.

Students who study 1-2 hours a day score an average of 75%.

Students who study over 3 hours a day score an average of 85%.

Therefore, the more a student studies, the higher the student is likely to score on the final exam.

Which of the following, if true, would most weaken the above argument?

A. This survey was only conducted in one class.
B. Those who studied between 2-3 hours a day scored an average of 70%.
C. Tim studies for 30 minutes a day and scored an average mark of 85% in last week’s trial test.
D. Nobody studies more than 4 hours a day.

The English adage “It is never too late to learn” means that individuals should never stop learning.

Which one of these statements, if true, most strengthens the above argument?

A. We’re in the midst of an informational boom.
B. One’s ability to acquire knowledge is more important than knowledge itself.
C. Giving up on your dreams because you think you’re too old leads to regret.
D. English, computer skills, and the ability to drive are increasingly considered essential abilities.

In a local IGA, a Cherry Ripe bar is advertised as costing “three for $1.00.”
If Jackie bought 21 bars at this price, how much money would she have saved if the price had been reduced to “seven for $2.00”?

A. $1.00
B. $1.50
C. $3.00
D. $7.00

Books are thought to be the source of all knowledge, but what one learns from them is only theoretical in the form of ideas and concepts. It is critical to apply them in a real-world setting and gain hands-on experience with the knowledge gained from books.

Which one of these statements, if true, most strengthens the above argument?

A. The knowledge gained from books alone cannot help anyone, because what one learns from books must be put to use in order to reap the benefits.
B. A person cannot experience everything in his lifetime, but by reading a book on a particular subject, he can gain knowledge on that subject in less time.
C. Experience-based knowledge is very likely to be retained in our memory for a long time.
D. Knowledge gained through experience is malleable; it is not dependent on any theory or equation. It works in symbiosis with theoretical knowledge.

Six people are queuing to go on a rollercoaster. Aaron, Bradley, Cecilia, Dalina, Evelyn, and Francis have been waiting in the queue. Evelyn and Francis are standing next to Aaron. Francis is standing directly in front of Cecilia. Bradley is standing in front of Dalina. Cecilia is also in front of Dalina.

What position is Evelyn in?

A. 1st
B. 2nd
C. 5th
D. Can be one of two positions

When George eats pizza, he also drinks a soda. When he drinks a soda, he always uses a straw.

Based only on the information above, which of the following statements is a valid conclusion?

A. If George is not eating pizza, then he is not drinking a soda.
B. When George eats pizza, he also uses a straw.
C. George uses a straw only when he drinks a soda.
D. If George is not drinking a soda, then he is not using a straw.

If Jessica plays netball, she will play the wing defence position. If she plays the wing defence position, then she will score at least one goal.

Which of the following statements must be true?

A. If Jessica is not playing wing defence position, then she will not score any goals.
B. If Jessica plays any sport other than netball, she will also play in a defence position.
C. If Jessica is not playing wing defence, then she will not play netball.
D. Jessica was not always able to school in every netball game.

A NASA scientist has proposed the existence of aliens on Mars. He claims that if we can prove the presence of water or footprints on Mars, then that would serve as irrefutable proof that extraterrestrial life forms exist.

Which one of these statements, if true, most strengthens the above argument?

A. The resilient nature of life suggests that life forms can exist outside of Earth.
B. Mars contains moderate quantities of vapour and ice.
C. There is no clear evidence that aliens exist on other planets
D. The properties of Mars are most similar to Earth, so it has the greatest probability of life

Uber fares cost $1.00 per km for the first 3 km of a journey and $0.70 per km for the rest of the journey. Harry traveled to the airport from his house by Uber. He pays the Uber driver $10.00 including a tip of $0.70.

How far is the airport from Harry’s house?

A. 9km
B. 10km
C. 12km
D. 13km

Kim: “Wearing masks has been shown to reduce the transmission of coronaviruses in the laboratory. So long as the WHO has not declared the epidemic finished, you should wear a mask if you are within 6 feet of someone you have not been quarantining with.”

Which of the following statements best supports Kim’s claim?

A. We don’t need to wear masks since we know exactly who is infected.
B. Certain countries in Asia have reduced their coronavirus infections to close to zero with the mandatory implementation of masks.
C. Masks in public are ineffective, as proven by research and reiterated countless times. They exacerbate rather than resolving health issues.
D. As everyone can see, the people who defend the mask only know how to yell and shout.

At Novotel Darling Harbour, which accommodates quarantined travelers, its corridor has rooms numbered starting on one side with 1,2,3,4….
At the far end, the numbers continue down the other side in the opposite direction so the largest number is opposite number 1. The rooms are of identical widths so each room has another directly opposite it.

If number 17 is directly opposite number 56, how many rooms are there in the corridor?

A. 36
B. 37
C. 39
D. 72

Investing in roads and highways has numerous benefits, but these benefits pale in comparison to the benefits of investing in public transit networks, which would facilitate benefits that extend beyond merely solving traffic problems.

Which one of these statements, if true, most strengthens the above argument?

A. Congestion in cities may be eliminated with a well-planned and well-managed public transportation system.
B. With fewer traffic issues due to a good public transportation system, there will be less air and noise pollution, which will also lead to healthier populations.
C. Investing on roads and highways has the added benefit of increasing the capacity for transporting cargo.
D. More roads and highways lead to wealth, therefore countries having a lot of them are more likely to flourish.

In class 5B, there is an assigned group project on cryptocurrency. There are three groups, with each group composed of three students. Annabelle is in the same group as Daniel. Daniel is not in the same group as Choy nor George. Fiona is in group three, along with Bianca. George is in group 2. Harriet and Jenny are in the same group.

What group is Choy in?

A. 1
B. 1 or 2
C. 1 or 3
D. 3

If kangaroos are full of tomatoes, then Friday it will rain. If bananas can swim, then Friday it will rain.

Based only on the information above, which of the following must be true?

A. If kangaroos are full of tomatoes, then bananas can swim.
B. If kangaroos are not full of tomatoes, then Friday it won’t rain.
C. If it doesn’t rain on Friday, then kangaroos are not full of tomatoes and bananas can’t swim.
D. If Friday it rains, then bananas can swim.

Disposable straws are more popular than reusable metal straws. This is deleterious for the environment because disposable straws require much more packaging, which means more rubbish. As such, more natural resources are consumed in the manufacturing process than would be if people used only metal straws. We should make people more aware of the environmental impact of such simple decisions.

Which one of the following statements best expresses the main conclusion of the above argument?

A. The increased popularity of disposable straws is bad for the environment.
B. It is unfortunate that disposable straws have become more popular than reusable straws.
C. People should be made more aware of the environmental consequences of choosing disposable straws.
D. The use of disposable straws increases the problems of waste disposal.