Day 2 TSA Homework

The piece of cardboard shown below folds to form a house for use with a model railway. The other side of the cardboard is black, which forms the inside of the house.

Which of the illustrations below correctly shows the assembled house?

Steve and Gerard want to use a code to send secret messages to each other. In the code, each letter of the alphabet is represented by a one-digit number as follows:

For example, the word TOKEN would be written in the code 7-3-7-6-2.

To test the system, Steve writes four words in the code and sends them to Gerard. Gerard tries to decode them and gets the following answers: 

ABOUT

LUCKS

ABORT

TRACE

Gerard is confident he has decoded 3 of these words correctly, but he is unsure about the other one.

Which word is Gerard unsure about?

People who struggle to learn a new language can benefit from listening to popular music. According to recent research, connecting with people’s interests and motivating them to learn a language can be accomplished by employing popular songs, movies, and TV shows. Furthermore, music encourages higher-order thinking and benefits students who are right-brained and have good hearing. It has been demonstrated that music can improve linguistic relationships. The ability to continue learning a language while having fun might help learners gain more confidence in their abilities.

Which of the following statements, if true, best strengthens the above argument?

Only rich students will pass the qualifying examination. 

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

If the information in the box is true, whose reasoning is correct?

May: “Aside from being a great basketball player, Lebron James sure knows how to invest his salary in businesses.”

Finn: “Being an NBA superstar like Lebron James surely gives him lots of opportunities outside of the basketball world.”

Erica: “I got my results yesterday and I was sad to know that I only got a general weighted average of 73%. However, I know I can pass since my father is the mayor and the principal owes us big time.”

Which of the following sentences shows the mistake Erica has made?

Anton wants to buy 20 jogging pants for his elementary class. There are four available tailoring shops that can make jogging pants. The shops, the price of the varsity jackets, and the special offers are shown in the table below:

Anton wants to buy all the jogging pants from the same shop and spend as little as possible.

What is the difference in price between the cheapest and most expensive options?

Most successful basketball players in the hall of fame began playing the sport at an early age, though a significant number of hoopers played the sport later in life. However, no professional basketball player, who ignored the advice of his coaches, has become a part of the hall of fame. 

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

Margarette invited Joshua to travel south and go to their favourite resting place. They both left their respective houses at  9 AM. Margarette’s car travels 80 km/hr while Joshua rides a motorcycle that travels at 50 km/hr. Margarette’s car travelled 115 km to arrive at the restaurant and she waited for her friend to arrive.

How long will it take Joshua to catch up to the restaurant after Margarette arrives?

A sculpture is placed in a glass box and displayed in a museum as shown in the diagram below. The sculpture can be viewed from all sides. 

Which one of the following is a possible view from one of the sides of the glass box?

Three lab scientists – Alex, Brylle, and Kyle were suspected of eating inside the chemical laboratory. The team supervisor knows that two of them are guilty. When faced with a suspension of a week, they made the following statements:

Alex: I am guilty.

Brylle: Alex is not guilty.

Kyle: Alex is guilty.

However, only two of the three are telling the truth. The other one is lying.

Which of the following statements must be true?

The bar graph below depicts book sales (in thousands) from six branches of a publishing company over two consecutive years, 2015 and 2016.

What percentage is the total sales of branch B6 for both years of the total sales of branch B3 for both years?

A toy for children may appear to be an unlikely candidate for the classical concert hall. Every year, however, thousands of musicians gather around the world for toy piano festivals, conferences, and concerts. These composers and performers gather to discuss the latest developments in toy piano music and perform new pieces while exploring its sound, range, and playing technique. Italy and Korea have recently held their first toy piano festivals. Despite being designed and marketed for children and families, toy pianos have been used for decades to compose everything from concertos to pop songs.

Which of the following statements, if true, best strengthens the above argument?

There are 1,564 books in Fiona’s personal library that she plans to donate. The fiction books must be arranged in 54 boxes. Every book must be placed in the box before she can donate it to the public library. 

How many books did Fiona already place in the donation boxes if 136 books are borrowed by her friends and relatives and 932 books are kept as her personal collection?

Aaron, Draymond, Max, John, and Klay are competing in a local marathon. The competing marathoners are at the final lap of the competition. The results are shown below:

• Klay finished ahead of Draymond in the final level but came right after Aaron.
• Max is faster than Aaron.
• John finished ahead of Max in a matter of split seconds.
• Draymond stumbled while running and finished the marathon in last place.

Who among the triathletes achieved 4th place?

Emanuel: “Hi, I am Emmauel. I am John’s brother. I hope we can be friends.”

Rose: “Oh, I am sorry. I cannot trust you and make you my friend. You are John’s brother and he tested positive for COVID-19 last year. You might be sick.”

Which of the following sentences shows the mistake Rose has made?

Daniel is planning to learn sports in the coming summer break. He put up a list of sports he could choose. He plans to pick his top four sports but he needs to choose one sport per list. 

Daniel’s first three choices were: Basketball, Football, and Badminton. 

What sport can Daniel not take?

A few statements have been made, and two conclusions have been drawn from them. Assume the statements are true, and then determine which of the given conclusions follows the statement logically.

Statement 1: Only a few reds are greens.

Statement 2: Only a few greens are blues.

Statement 3: Some blues are oranges. 

Conclusion 1: Some reds are not greens.

Conclusion 2: Some greens are not oranges.

Which one of the following statements is true?

Early-risers have better concentration and are more alert and energised throughout the day. Morning people are more proactive and goal-oriented, have strong problem-solving skills, and do well in school, eventually going to good colleges and landing high-paying jobs, according to a 2010 study. Adequate and consistent sleep improves blood pressure, immunity, basic brain functions, and mood, and allows your body to repair itself. Waking up early makes it easier to go to bed early, and maintaining consistent sleep and wake times regulates your circadian rhythm and leads to deeper sleep at night.

Which of the following best expresses the main conclusion of the argument?

A net with different sides is shown below.

If the net was folded into a cube, which of the following would be a possible output?

Addison and Aurora want to use a code to send secret messages to each other. In the code, each letter of the alphabet is represented by a one-digit number as follows:

For example, the word CLOWN would be written in the code 2-7-4-5-7.

To test the system, Addison writes four words in the code and sends them to Aurora. Aurora tries to decode them, and gets the following answers: 

FAITH

BUNCH

MAYBE

SIZES

Aurora is confident she has decoded 3 of these words correctly, but she is unsure about the other one.

Which word is Aurora unsure about?

Three pupils – Jona, Samantha, and Almira were suspected of not paying for their food in the canteen. The Prefect of Discipline knows that two of them are guilty. When faced with a sanction, they made the following statements:

Jona: Samantha is guilty.

Samantha: I am not guilty.

Almira: Samantha is not guilty.

However, only 1 of the three is telling the truth. The other two students are lying.

Which of the following statements must be true?

In this world, every child should greatly appreciate their parents. Parents are the ones that go through the most hardships when raising their children to live a healthy and happy life. Every parent wants to see their kids happy and content in life. They should all have the right to let their children pursue better careers because children occasionally end up making poor professional judgments. Parents can at least help their children make wise decisions even if they are not the ones working on their own job paths. No parent wants to make a poor choice that would harm their child’s future.

Which of the following statements, if true, best weakens the above argument?

Harriet wants to buy 20 pairs of sandals for her online shop. Four manufacturers contacted Harriet and gave her special offers as shown in the table below:

Harriet wants to buy all pairs of sandals from the same manufacturer and she wants to spend as little as possible. 

Which shop should Harriet buy all pairs of sandals?

The pie chart below shows Mike’s budget plan under various categories.

If the sum of the two categories is represented by 144 degrees of the whole pie chart, what portions of Mike’s budget are allocated for it?

Elijah: “Let’s go to the new ice cream store! I heard it is owned by Sally’s mom.”

Alexis: “Don’t buy there, Elijah. Don’t you know that Sally’s mom just got out of prison? Her mom is not trustworthy.”

Which of the following sentences shows the mistake Alexis has made?

The prices for the National Basketball League games are shown in the table below. One ticket per person is required to watch the basketball games.

Kirby, Brylle, Aaron, and Benjamin are planning to watch the live basketball games on the following dates: 7, 8, 9, 17, 18, 19, 20, 21, 29.

How much is the cheapest valid combination that the four friends could use?

A few statements have been made, and two conclusions have been drawn from them. Assume the statements are true, and then determine which of the given conclusions follows the statement logically.

Statement 1: All soft drinks are water.

Statement 2: All water is oil. 

Statement 3: Only a few oils are fluid.

Conclusion 1: All soft drinks are oil. 

Conclusion 2: No water is fluid. 

Which one of the following statements is true?

Travelling is an important part of life because it is the best way to get away from a hectic schedule. Travelling is a great way to relieve stress, anxiety, and depression. It also benefits both mental and physical health. We only have one life, and we should be grateful as it makes us the most advanced creatures on the planet. People not only get to see the beauty of nature, but also different geographies, topographies, and people. Travelling is about discovering new places, cultures, cuisines, rituals, and ways of life.

Which of the following best expresses the main conclusion of the argument?

Please refer to the following object below.

As shown above, which of the nets below CANNOT be folded up to form the object?

Moderator: “Mr Timmy Jr., what is your final message to the people of this country?”

Timmy Jr.: “Winning the national elections is a priority. For the voters, vote for me or live through six more years of poverty.”

Which of the following sentences shows the mistake Timmy has made?

The following bar chart depicts the composition of GDP of the two countries (Australia and New Zealand).

If both countries’ total GDP is the same, by what percentage is Australia’s agricultural income higher than New Zealand’s service income?

In many schools, using a cell phone in class is prohibited. Cell phones ought to be prohibited in schools since they might be hazardous, distract kids, and enable cheating. On the other hand, students in school are distracted by cell phones. When students text in class, other students notice, which makes it extremely difficult for them to study. Additionally, if it rings during class, the teacher may have to pause what she is saying and focus everyone’s attention on the cell phone.

Which of the following statements, if true, best weakens the above argument?

There are 1,000 pupils who participated in the mock national exam. The grade school pupils can be classified into the following categories, as shown in the pie chart below.

Which of the following matches the data in the pie chart?

In Australia, the number of officially registered homeschooled kids rose from 10,000 in 2011 to nearly 20,000 in 2018. The ability of parents to choose their child’s curriculum is the most significant advantage of homeschooling. Parents have control over what their children study, when they study, and for how long. Nobody knows their child as they do. And no one cares more about their child’s development than they do. Thus, children are better off when their parents become their teachers. 

Which of the following statements, if true, best weakens the above argument?

Drunk driving is prohibited in Australia. Anyone caught by the police will have to pay a fine of $4,000 and will receive a licence disqualification worth 6 months or more and possible prison time. One night, David was caught by Jasmine, a policewoman, and he was caught guilty of being under the influence of alcohol.

Jasmine: “You are obviously drunk, Mr David. I need you to surrender your licence.”

David: “No, I am not drunk. I just had a few beers before driving. I am fine.”

Which of the following sentences shows the mistake David has made?

Eight chess prodigies are competing in the World Chess Championship. Each participant receives up to 21 points in each round. The results for the first three rounds are shown below: 

One competitor will definitely win the competition outright if they score enough points in the fourth and final round. 

What is the minimum score that this chess prodigy needs to guarantee the win?

The prices for the newly opened Ocean park are shown in the table below.

Alexander, Jordan, and Reynald will need a ticket for the following days of the month: 3, 4, 13, 14, 15, 16, 17, 22, 23, 24

How much is the cheapest valid combination the three of them could use?

Joseph is planning to take subjects ahead of his class. He put up a list of subjects he could choose. He plans to pick his top four subjects but he needs to choose one subject per list. 

Joseph’s first three choices were: Music, Mathematics, and Effective Communication.

What subject can Joseph not take?

Denise wants to tile her kitchen floor and is trying to decide between her four favourite tiles. However, only three of them are suitable for the job as one of them won’t cover the floor without leaving numerous gaps. 

Which one is it?