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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?
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 statements is least likely true?
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?
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?
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?
Faith was tasked with budgeting her ten-thousand-dollar allowance to afford the various expenses incurred for the duration of her studies abroad.
Rent |
Utilities | Transportation | Food | School projects | Miscellaneous |
$ 3 000 | $ 1 000 | $ 1 000 | $ 1 500 | $1 500 |
$ 2 000 |
Which of the following charts best represents this data?
Angela needs to put an adhesive substance on each face involved in putting a solid P together. Doing labour on each face to make sure they stick took 26 seconds overall.
Working at the same rate, choose the length of time needed to put solid S together.
Kyle owns a supermarket. Each week, he has a special offer on some of the products that he sells. He advertises these offers by comparing his prices to one of the other local shops. The comparison done weekly is based on the ingredients involved in making a certain dish.
This week, the comparison will be based on Spaghetti Bolognese. The ingredients and their prices at another local supermarket are shown in the table below.
Item |
Local Shop Charges |
Red Wine |
$21.50 |
Pasta |
$6.25 |
Beef |
$10.50 |
Tomato Sauce |
$8.75 |
One of each is needed to make Spaghetti Bolognese. Kyle wants to advertise that it is 20% cheaper to buy the ingredients from his supermarket. He decided that he would sell the red wine for $17.50, the pasta for $5, and the tomato sauce for $7.
At what price should he sell the beef?
You must accept the given statements as true, even if they appear to contradict commonly known facts. Read all of the conclusions and then decide which one logically follows from the given statements.
Statements:
Conclusions:
Which of the following logically follows?
Five Decathlon employees had a running competition after work to see who among them could run the fastest.
Where did Justin finish?
Nicole sent a message to Joseph in an encrypted code. She used pictures rather than letters. Joseph knows that the following symbols represent the word “BEAT.”
What do these symbols represent?
Brittanie is a consistent honour student which is why her mother wants to give her a reward. Brittanie said that she wants to travel to different countries during their term break. Her mother gave her four lists and she can only choose one country from each list.
List 1 |
List 2 | List 3 |
List 4 |
Singapore |
France | China | Japan |
Canada | Malaysia | India |
Malaysia |
Korea |
Singapore | Canada | Dubai |
Japan | Philippines | France |
Korea |
Brittanie chose the Philippines, Canada, and Dubai.
What can she not choose?
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?
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?
Current events and historical programming can help make young people more aware of what is happening in other cultures and among other people. As a result, we act and make decisions based on our perceptions of the world. It is beneficial to require children to watch the news on television since everything they see is factual.
Which of the following statements best weakens the above argument?
The pie chart represents Blake’s monthly expenses.
Which of the following data sets best matches the pie chart representation if the pink portion is represented by Other Expenses?
Mica, Jorge, Shane, and Brian are going to Singapore for a vacation. They will stay in Singapore from October 2 to October 12, 2022. They need a hotel for their whole stay, and they want a hotel room that has a stable internet connection and a small private jacuzzi. The four friends will leave Singapore on October 12 before noon.
There are five hotels that they can choose from.
HOTEL |
RATE PER NIGHT | INTERNET CONNECTION PER NIGHT | PRIVATE JACUZZI
PER NIGHT |
ALVEA HOTEL | $109 | +$5 |
+$10 |
EAST WIND BEACH |
$97 | +$10 | +$12 |
THE FISH EYE HOTEL | $102 | +$0 |
+$14 |
AHANA RESORT |
$113 | +$5 | +$0 |
HUE HOTELS | $105 | +$0 |
+$8 |
If they chose the most expensive hotel and split the total amount equally, how much would each person pay?
Tyra is a very emotional type of person. She reacts quickly and most of the time, she ends up saying things she does not mean. One day, a YouTube medicine vlogger, Jill Ace, endorsed a product that he claimed to be a remedy for people who tend to be controlled by their emotions. |
Tyra: “Alas! My suffering will end. Jill Ace’s new product will be my cure. I’m glad I became one of the 12 million people who followed his channel.”
Which of the following best expresses the flaw in Tyra’s statement?
The scientists in Magnum Lab were studying the increase in population of different bacteria after being exposed to Chemical X. They came up with the following after a series of experiments:
Bacteria |
Population (in millions) |
Alpha |
45 |
Beta |
25 |
Cali |
30 |
Delta |
5 |
Echo |
15 |
Omega |
40 |
Total |
160 |
Unfortunately, a system glitch occurred which affected the pie chart they made as shown below:
The population of one bacteria was reduced by mistake and another bacteria’s population was increased.
Which Bacteria were affected by the accidental increase and decrease of the population?
The problem of global warming and climate change have created major environmental disasters throughout the years. This requires collective action from those who are in power, especially the people. Therefore, individuals should be mandated to always recycle their waste and lessen their carbon footprint in order to solve the global warming issue.
Assuming all are true, which among the choices below best weakens the statement above?
All boxes are squares. Most squares are triangles. No rectangles are squares. Some rectangles are circles. All diamonds are rectangles. All diamonds are triangles. |
If the statements in the box above are true, which of the following is not true?
Literature has been used as a form of entertainment for hundreds of years, giving readers the opportunity to take a break from the anguish, sorrow, indifference, and labour of day-to-day life through the medium of reading. Reading continues to hold its position as the most essential form of leisure activity despite the fact that we now live in a highly technologically advanced world with access to many different forms of entertainment.
Which of the following best states the main idea of the passage?
Coffee is one of the most consumed drinks all over the world. Aside from tasting good, it also offers various benefits to the body. It contains antioxidants which help your body fight infections and other illnesses. It also provides caffeine which truly helps employees and college students who need to do tasks at night. Despite these benefits, coffee could also pose heart risks when consumed at excessively high levels.
Which among the following shows the main conclusion of the passage?
Miss Gracie, an established economist, comes from a family of politicians and was once a legislator herself. Amid rising prices of goods, Miss Gracie has created many proposals to help the citizens save money. But despite her expertise, regular audience members of the show, like Mark, mainly reacted with words of derision. |
Mark: “No one should believe what she’s talking about. She comes from a family of politicians, and no politician in this country can be trusted anymore.”
Which of the following sentences shows the mistake Mark has made?
A well-known quote attributed to Albert Einstein asserts that “imagination is more important than knowledge.” This phrase only contains a few words, but if we think about it in a rational way, we can see that it encompasses the entire world. Imagination is a gift that one receives from life, and it is unquestionably much more important than knowledge. If we have the capacity to imagine things, then we have the ability to craft the world that we live in.
Which of the following statements, if true, best strengthens the argument?
The “Iron Man” Olympics is an annual competition for the region’s top athletes. It is composed of 10 different events. This year, four cities participated and 6 events have already finished.
To determine the overall winner, the medals will be ranked according to their value: 3 points for Gold, 2 for Silver, and 1 for Bronze.
The current standing is shown below:
City |
1st Event | 2nd Event | 3rd Event | 4th Event | 5th Event | 6th Event |
Aloi City | Gold | – | – | – | Bronze |
Silver |
Brock City |
Bronze | Gold | Silver | Bronze | Silver | Gold |
Calum City | – | Silver | Gold | Silver | Gold |
Bronze |
Darius City |
Silver | Bronze | Bronze | Gold | – |
– |
At a minimum, how many points should the leading city bag in the last 4 events to secure the overall championship?
Farrah plans to buy 15kg of beef for the Thanksgiving feast she plans to prepare. The available stores and their thanksgiving promo are as follows:
Shop |
Price per Kg ($) |
Promo |
Marty’s Beef Store |
6 | No Promo |
All Meat Basket | 7 |
15% off on all Products |
Meaty Shop |
8 | Buy 1 kilo, Get 50% off on next kilo |
Protein Factory | 9 |
Buy 3, Get 1 Free |
To make things simpler, she’ll buy all of the beef from one shop only using her $100 budget.
If Farrah picked the shop that offers the cheapest price, how much will be her change?
Mobile phones use the following keys for forming words when sending text messages.
To form the word RED, for instance, it requires 7 to be pressed three times, 3 to be pressed twice, then 3 to be pressed once more.
Sharmaine sent a message to her friend saying:
“I will always remember us this way.”
Which key had the second most presses when the entire message was formed?
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?
Keith’s mother gave her 5 lists of the best food places in Australia. Her mother instructed her to choose one place per list and they would go to the place from Monday to Friday. Keith can only choose one food place from each list.
List 1 |
List 2 | List 3 | List 4 | List 5 |
Jollibee | Canberra | Fudd’s | 127 Days |
Oporto |
McDonald’s |
8Bit | RoyAl’s | Popeyes | 127 Days |
Hungry Jacks | Oporto | Hungry Jacks | Fudd’s |
Burger King |
Mos Burger |
Lunchbox | Jollibee | McDonald’s | Pizza Hut |
8Bit | Fudd’s | Canberra | KFC |
RoyAl’s |
Keith knows she wants to eat at Fudd’s, Pizza Hut, 127 Days, and Jollibee.
What can she not choose?