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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?
Even in houses without a television, primary school-aged children in metropolitan India have become passionate and frequent watchers of television. As a result, there has been an alarming fall in newspaper readership.
If the information above is true, whose reasoning is correct?
Carl: “Digitising newspapers results in increasing the readership.”
Jason: “A team of experts should be sent to India to study the impact of TV on the readership of newspapers.”
“Mental age” has long justified labelling children with specific intellectual problems, such as being “mentally behind” when compared to other kids within the same age bracket. With the introduction of inclusive education, child rights campaigners are now advocating for its abolition in schools. It is now the educator’s responsibility to teach these youngsters the necessary learning skills so that they can compete with other pupils who are fortunate enough to be in regular settings.
Which among the statements, if true, best strengthens the argument?
Danny, an orange vendor, would like to monitor how much of his orange supply stack up in the last five remaining months before the ber months. The graph below shows the number of unsold oranges for each month.
If he had 20 unsold oranges in the month of March, which table below shows the data of the number of oranges he orders to resupply and the number of oranges sold for each month?
A sudoku puzzle is shown below where instead of numbers, shapes are used. The rules of this puzzle are as follows:
Rule 1 – Each row must contain each of the four shapes, without repetitions.
Rule 2 – Each column must contain each of the four shapes, without repetitions.
Rule 3 – The shape can only occur once in each block (2 by 2 block).
By identifying the arrangement of the shapes in the whole 4 by 4 grid, which shape should be placed within the box marked with a question mark?
James and Denise are two old friends who have recently discovered the art of texting. They use a code that they invented many years ago.
The code is a substitution code with a twist. When a particular letter appears for the first time in a message, it is encoded as the next letter in the alphabet (A becomes B, Z becomes A).
On each subsequent appearance, it becomes the next letter again (A becomes C, Z becomes B).
For example: ARE YOU AT HOME TODAY? is encoded as BSF ZPV CU IQNG VREDA?
James is about to text Denise with the following message.
THERE WILL BE A POWER INTERRUPTION.
How will James encode this statement?
Julie always changes the password of her personal computer to keep her brother from using the computer to play video games. She usually uses difficult codes as passwords to make it difficult for her brother to find out the current password of the PC. Her brother knows that she only changes her password in such a way that her current password has exactly one character different from the previous three passwords.
Given below are the three previous passwords that her brother found out.
JB10dL7
JB14dP7
AB14dL7
Which among the options below is the possible current password of Julie’s PC?
Chen, a music gear store owner, counted the number of supplies of microphones he had left. The table below shows the quantity of each type of microphone in his supplies.
Which among the pie charts below best describes the given data set?
All excellent actions share one or both characteristics. For starters, they are accompanied by emotions of fulfilment. Second, whenever they are widely publicised, they evoke widespread approbation.
If all of the above statements are true, then which of the following must also be true?
Pre-workout supplements are marketed as being able to enhance your workout by increasing energy, boosting metabolism, and improving muscle growth. They’re usually taken as a tablet or consumed as a drink around 30-45 minutes before a workout. But lack of research makes it difficult for consumers to understand how effective they really are – and whether they do what they claim.
Which of the following statements best expresses the main conclusion of the argument?
Statements:
I. All Spider Men are Thors.
II. No Thor is a Captain America.
III. Some Captain Americas are Hawkeyes.
Conclusions:
I. Some Thors can be Hawkeyes.
II. All Spidermen can be Hawkeyes.
Which among the following conclusions follow?
Statements:
I. Some calculators are phones.
II. All scales are rulers.
III. No ruler is a phone.
Conclusions:
I. All rulers can be calculators.
II. All scales can be calculators.
Which among the following conclusions follow?
In a shape-making factory, shapes are assigned with numbers according to their INITIAL position in a certain arrangement. To form new arrangements, their assigned numbers will be rearranged according to the desired final arrangement.
Example:
Given the image below, which numbers among the options below should be placed in the green box to generate this final arrangement?
Given how most hospitals are costly and inaccessible for many, checking up on one’s symptoms to a doctor may not be easy. Therefore, consulting the internet through credible medical websites about one’s symptoms is more cost-efficient.
Which among the statements, if true, best weakens the argument?
A scientific discovery holds the prospect of altering brainpower to better mirror the mechanisms through which a computer sorts information. This means that rather than attempting to make computers more human-like, humans will strive to become more like computers.
If all of the above statements are true, then which of the following can also be true?
The television programs geared toward women are jam-packed with a range of recipes and domestic advice. The products stated above may also be found in a large section of women’s magazines.
If the information above is true, whose reasoning is correct?
Jam: “Women are not interested in other things.”
Kai: “An average woman’s primary interest lies at home and especially in the kitchen.”
Andy, Bobby and Peter are wearing different coloured shirts: red, blue, and yellow. We do not know which among the coloured shirts they are wearing.
The guy in the red shirt says, “I am Andy.”
The guy in the blue shirt says, “I am not Peter.”
The guy in the yellow shirt says, “I am either Peter or Bobby.”
If two of them are lying, identify the appropriate colour each person is wearing.
Three different shapes are given below:
Which of the following figures can be made by combining the 3 shapes above?
A cube will be formed using the cut-out below.
Which one of the following cubes was formed from this cut-out?
Choose a figure which would most closely resemble the unfolded form of figure (Z).
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?