D1 – Y5 – TS – TT

Marina, Morgana, and Mason each bought fruits from the same stall. Marina bought 8 oranges, 5 apples, and 4 mangoes and paid 41 dollars. Morgana bought 4 oranges and 4 mangoes and paid 28 dollars. Mason bought 2 oranges and paid 4 dollars. The price of each fruit is a whole number.

How much does each apple cost?

If Corazon will submit the forms, she will go to the office.

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

Olly always visits his friend’s classroom after his 2nd-period English class. If Olly does not have English class in his 2nd-period, Olly heads straight to the library. When he visits the library, he always borrows a book from the fiction section. When he borrows said book, he will recommend it to his friend when they walk home together after school.

Which of the following statements must be true?

There are three boxes, red, yellow, and green. Each box contains different jewels. The rubies are in the second box. The diamonds are placed on the immediate left of the green box, and the sapphires are in the yellow box.

What is the colour of the box containing the diamonds?

Carl lives in Greendale and wants to study engineering in the future. Four universities have offered him a scholarship, but he is unsure which one he should go to as all of the schools have the same quality standards. He does, however, want to ensure the school is accessible so that he can arrive at class early. Greendale is small, but it also has a poor public transportation system where roads are often congested and public transportation is crowded and runs late. 

Which university should Carl choose?

Troy and Abed communicate with each other through a special code. Instead of writing letters, they use their numerical value in the alphabet. Hence, A is written as 1, B is written as 2, and so on. However, if the word is in an even position in the sentence i.e. it’s the second, fourth, or sixth word used, then 5 is added to every number.

In this language, “An apple” becomes 114 621211710. Troy wants to send the following message: WE CAN PLAY VIDEO GAMES LATER.

How will Troy write the word VIDEO?

Each of the following questions contains two statements labelled I and II. There may be a causal connection between the two statements. These two statements may have the same cause or have separate reasons. These statements might be separate causes with no connection. Read both statements in each question and choose the correct answer from the given answer options.

Statements:

I. Numerous companies started building solar and wind farms throughout the country.

II. The state offered rewards to those who will produce renewable energy for the country.

Michelle and Dana are both professional teachers. All teachers are caring individuals. Most teachers are youthful. Both Michelle and Dana teach their students well and are caring individuals.

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

Zed: “If a professional is youthful, then they must be a teacher.”

Zee: “If a professional is a caring individual, then they must be a teacher”

A four-digit code is needed to verify my account on a food delivery application. Its first and last digits are the same. The sum of all the digits is 20. The second digit is two less than the third digit. 

Which of the following cannot be the code?

1 650 stickers need to be cut out for an event. Yesterday, 2 people worked on it for an hour and managed to cut 150 stickers altogether. Each person worked at the same rate. Today, they have 2 more people to help them cut and they start working at 10 AM. Everyone today works at the same rate as the two people did yesterday.

If they do not take any breaks, at what time will they finish cutting all the stickers?

There are twenty students from different clubs who helped recruit new students. Here are some information about them:

All 6 students from the Debate club are part of the English club.

7 students are both in the English club and Science club.

2 Chess club members are also in the Science club.

No English club member is in the Chess club.

Which of the following must be true?

Three field agents report to their common manager at regular intervals. In the month of June, Agent 1 first reported on June 1 and came back every three days. Agent 2 first reported on June 4 and returned every four days. Agent 3 first reported on June 5 and returned every five days.

For how many days of the month did the agents not report to their manager?

Six students are seated at a rectangular table. 1 student is seated at each short end, and 2 students are seated at each of the long sides.

John and James are seated next to each other. Mark is seated across Terry, and between James and Mona. Ina and John are seated across from each other.

Which of the following is not possible?

Earl and Eve meet after work every Friday evening. They decide where to go based on the time they finish their shift.

If they finish after 6 P.M., they will go to the Corner Café.

If they finish work beyond 8 P.M., they will go to the Tea Shop instead.

If they finish work before 6 P.M., they will go to the theatre. They might still go to the Corner Café, but they won’t be at the Tea Shop.

Which of the following must not be true?

Travelling brings so many benefits to an individual’s personal growth. It gives them an opportunity to meet and connect with new people who can become good lifelong friends. It allows one to see how many cultures coexist, and gives them valuable experiences they otherwise would not have had in their local communities. Travelling can also help individuals pick up new languages, learnings, and even practices that they can use to improve their personal lives.

Which of the following, if true, best strengthens this argument?

Websites that collate reviews and ratings on different businesses are harmful. Often, these reviews will be bombarded by entries that are untrue and malicious because anyone is allowed to post. For example, many restaurants have closed down because rival owners left unfounded negative and harmful reviews on websites. Even movies have received unfair audience ratings just because one actor in them is disliked. Thus, these review websites should not be taken seriously and must be shut down if possible.

Which of the following, if true, best weakens this argument?

Many new animated shows are criticised because their art styles are considered “outrageous”. They do not follow realistic human proportions and do not strive to achieve what is commonly considered “beautiful”. As such, many older generations look down on the modern animation industry because they believe it does not take much skill to produce. They often comment how a scene just looks like a child’s drawing rather than a professional’s.

Which of the following, if true, best weakens this argument?

The government should provide better career support programs for students. Many students feel lost in choosing a career path to take because they are not sure what is in demand or what skills are needed. Beyond encouraging the right college degrees, better career support programs also consider mental health and well-being. It is important that students understand what degrees match their interests and skills as it will push them to do better in college and in the workplace.

Which of the following, if true, best strengthens this argument?

The results of research often determine many of our decisions, from personal care to state welfare policies. However, many countries are not as strong in the field of research. This is because their students are more encouraged to take up jobs that are more lucrative and in-demand than the academe. Thus, they only rely on data from other states and make faulty policies as a result. As such, more support for research work in the academe should be supported in more countries.

Which of the following, if true, best strengthens this argument?

Recently, the quality of streaming services has gone downhill.

Roy usually pays for subscriptions to multiple streaming services because he loves watching movies and TV shows in his free time. However, due to the number of poorly-premised reality shows released, Roy felt like his money was being wasted. He decides to withdraw his subscriptions.

He suggests to his friend Moira to do the same.

Moira: “No, thank you. Those new reality shows might be bad, but I’d rather watch them than those outdated cable programmes.”

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

The government has recently adopted the new international car safety standards.

This is to ensure that both passengers and drivers are as safe as possible even in dire circumstances. As such, all models sold in the country were required to undergo a rigorous safety test before being permitted to be sold to the public. An old model, which was once one of the best-selling cars in the country, recently failed the safety test.

The manufacturer was forced to stop selling the model and people everywhere were shocked.

Emmanuel: “The conduct of the safety test must have been faulty. My father and uncles used to drive that car model all the time when I was growing up and not one of them ever got into an accident.”

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

A chemical compound was recently discovered to help prevent the onset of headaches.

The news was received positively by the public. Many medical professionals are looking forward to its application as they know it will help many of their patients. The pharmaceutical company responsible for the research announced that they will be producing a product with the compound soon.

Many are eagerly awaiting its release. But Mary is unfazed.

Mary: “That drug is bound to be dangerous. Pharmaceutical companies want nothing but money. If I were you, I’d be wary of buying anything they produce.”

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

Dan is helping Grace go grocery shopping.

While they were picking out hygiene products, Dan noticed that there was no soap in Grace’s basket. He recommended Brand Z to her, as his dermatologist told him it was a good brand to use. It was cheap and it prevented the skin from drying out.

However, Grace said she would not be buying any at the store.

Grace: “I do not trust all the new-fangled chemicals they put in products nowadays. Our bodies do not know how to handle those products and it’s going to hurt us eventually. It’s better if we stick to organic solutions like oat milk and honey as those are naturally occurring and already familiar to us.”

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

Jake and his friends are athletes, and they recently saw a new advertisement by a sporting goods company.

In it, the company claimed that its products were made with the best standards in manufacturing. They also claimed to be recognized by many sports associations as one of the best suppliers of anything from skis to sportswear.

Jake and his friends talked about the company’s advertisement and whether their products were worth buying despite the high price.

Jay: “I checked their statistics and found that their best sales were in countries that recently won numerous Olympic gold medals. They must indeed be the best.”

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

Many people previously believed that a large and wrinkly brain structure is necessary to be smart. Thus, many animals like koalas and birds are thought to be dumb animals because their brains are physically smoother and smaller. However, they have displayed curious behaviour that indicates a capability for complex thinking processes. This includes using tools, approaching humans for help, and even problem-solving. This caused researchers to rethink their theories and conduct more investigations into brain function.

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

Ocean forests are extensive underwater areas covered by kelp and seaweed. These ocean forests provide habitat and food to plenty of marine organisms. These forests also produce more biomass than most common land crops like corn and wheat. These ocean forests are of interest to many researchers because they have the potential to grow quickly and capture carbon from the atmosphere. Thus, they could potentially be fostered to address the effects of global warming.

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

A fleet of UFOs was observed, and pictures were taken of them at the same time from different places: one looking from the north and the other looking from the east.

What is the largest number of UFOs that could be in the fleet?

Please refer to the following object as shown below.

Which of the nets below CAN be folded up to form the object as shown above?

Find out from amongst the four alternatives how the pattern would appear when the transparent sheet is folded at the dotted line.

A staircase is made from 220 cubes fitted tightly together in the arrangement below.

The cube is fully immersed in quick-drying paint. All the exposed faces become covered in paint, but the inner ones remain unpainted.

How many cubes have at least one side painted?

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 not a possible view from one of the sides of the glass box?

I am looking to buy a new car and have been given four models as options. My ideal car has an engine capacity of up to 2 000cc, between 200-250 horsepower, a cost of less than $50 000, and a safety rating of at least 4 stars. I am willing to consider a model which fulfils at least 3 of these specifications. The details of the models suggested are in the table below.

Which of these cars will I not consider?

Audiences were asked to vote for their favourite pop song of the year at an awards show. The results are as follows:

After the votes were counted, the results were shown through a pie chart. However, the person in charge accidentally merged the votes for two songs.

Which two songs were accidentally merged?

Misha recently opened a bank account and made an initial deposit of 2 000 dollars. The chart below shows the amount deposited and withdrawn for the first five months.

How much money did Misha have in the account at the end of the fourth month?

Lana has signed up for a marathon. To prepare, she ran every day of the week, and she set a different total distance to run for six weeks.

Which of the following graphs accurately shows the average distance she ran per day for six weeks?

A

B

C

D

The table below shows the number of medals won by each university department in their recent welcome event which featured many games.

The winning department was determined by tallying which had the highest number of gold medals. If they tied, the number of silver medals, and then bronze medals were considered. However, some students protested and argued that the total number of medals won should determine the winning department instead.

If the second method was followed, which department would be in third place?

Faith was tasked with budgeting her ten-thousand-dollar allowance to afford the various expenses incurred for the duration of her studies abroad.

Which of the following charts best represents this data?

The Lee family gives an extra present to the child who has a greater percentage increase in savings from Term 2 to Term 3 of school than the increase from Term 1 to Term 2. Four children’s savings are shown in the graphs below.

Which of the children will not be receiving an extra present?

The table below shows the demographic of the 200 students from different schools who were awarded academic distinctions last year.

How many students from all three departments were awarded twice or more?

In a recent survey, 150 people were asked if they would either watch Phantom of the Opera or Les Miserables. 

50 said they would watch Phantom of the Opera.

34 said they would watch Les Miserables.

44 said they would watch both.

Which of the following pie charts can correctly show the results of the survey?