Day 2 TSA Homework

Mrs Morley and Mr Morley are a loving couple. They constantly try to go home early after their daily activities. Today, they wanted to drive using separate cars and left home at exactly the same time to meet at their favourite restaurant located 125 km away from their home. Mrs Morley drives with a constant speed of 100km/hr while Mr Morley drives at a constant speed of 75km/hr.

How long does Mrs Morley need to wait at the restaurant before Mr Morley arrives?

Technology and development are often portrayed as the mortal enemy of environmental protection due to the fact that most of the harms done to the environment were done under the guise of providing development for people or for technological advancement. Despite this, technology can also be used to help in the recovery of the environment once applied properly. If we strategically utilise our technological resources, there will definitely be a way for us to help nature heal. 

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

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

Tina: “If it is a Maine Coon, then it is definitely a mammal.”

Jerra: “If an animal has thick orange fur, it can only either be a dog or a cat.”

Merlinda wants to purchase 10 pieces of the same ornamental plant but she’s not sure which shop she ought to choose from. She wants to buy from only one shop where she has to spend the least amount of money.

The shops are as follows:

Which shop will Merlinda pick?

A person can only be allowed to enrol in May Queen University if they graduated from Juniper High School and got an average grade of 95%.

If the information above is true, which of the following conclusions follow?

I.     Anna can enrol in May Queen University as she graduated from Juniper High School

II.    Leroy can enrol at Mayqueen University since he has an average grade of 99%.

III.   If Jenna does not enrol in May Queen University, it’s only because she did not graduate from Juniper High School and had an average of 95%.

IV.    No student of Mayqueen University did not come from Juniper High School.

The School of Arts and Sciences conducted a survey about their degree program with the most active students. They finished the survey and had the following results:

Before they can convert the findings into a pie chart, some of the votes from one program were transferred to an adjacent one as shown in the chart below:

Which adjacent programs had their number of votes affected?

If all the statements in the box above are true, whose reasoning is correct?

Mira: “If one has physical endurance and strength, then they must be an athlete.”

Lira: “Jeremy and Nicole definitely have more than one good health-related component.”

Aira: “Aside from having strength and endurance, Nicole also has good balance.”

Alice and her friends decided to gather some gemstones in the nearby mine for their Mineralogy class. After gathering all of the gemstones, they came up with the following results:

Unfortunately, some of Daisy’s stones were accidentally added to someone else. The bar chart below illustrates the new allocation of gemstones including the mistake that happened to Daisy.

Who among their group of friends received Daisy’s gemstones erroneously?

According to a study published in Nature Climate Change, the annual number of tropical cyclones forming globally declined by roughly 13% over the 20th century compared to the 19th. In addition, the atmospheric conditions that influence the creation of tropical cyclones have weakened. This is proof that a rise in human-caused global warming led to a drop in the frequency of tropical storms. With all these in mind, we can conclude that there is no longer a need to worry about these tropical storms.

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

All birds can fly. A penguin cannot fly. An albatross is a bird.

 If the information above is true, which of the following conclusions follow?

I.     A penguin is not a bird.

II.   Only birds can fly.

III.  Some birds cannot fly

IV.   An albatross can fly.

V.     If an animal does not fly, it cannot be a bird.

Seth: “We should not make use of facial recognition systems because it is heavily unregulated. The next thing we might know, these people already have access to our DNA and other sensitive information!”

Which one of the following best expresses the flaw in the statement?

The contestants of “Are you smarter than a 5th Grader?” had the following scores throughout the first 5 rounds:

Each round is composed of 15 questions and every correct answer equates to one point.

One of the contestants is guaranteed to win the competition if they scored a certain amount of points in the remaining 2 rounds.

What is the minimum number of points the contestant must get to secure the win?

All babies drink milk. Some babies cry at night. All babies cry when they are hungry.

If all the statements above are true, whose reasoning is correct?

Julia: “If it drinks milk, then it definitely must be a baby.”

Jules: “If something doesn’t cry when it is hungry, then it definitely isn’t a baby.”

Aira: “If a baby is crying at night, it is because it’s hungry.”

Josephine: “Since I don’t smoke any cigarettes, I am sure to never experience a respiratory disease.”

Which one of the following best expresses the flaw in the statement?

The annual financial report of Choco Company showed the sales of their chocolate bar in five different countries:

During the preparation of the corresponding pie chart, one of the borders has been moved as shown:

Which variables had their borders moved?

Jeremy and Leonardo attended a Halloween party and got 70 candies each 

Leonardo’s 2-year-old cousin, Donatella, wanted to have some but Leonardo is hesitant about it. So then Jeremy came up with the idea of rolling dice so that they can share their candies with Donatella. They take turns to roll

• If it is an even number, then Jeremy will receive 20 candies from Leonardo.
• If it is an odd number, then Leonardo will give the number of candies shown on the face of the dice plus twelve to Donatella.

Jeremy rolls 4.

Leonardo rolls 5.

Jeremy gave half of his candies to Donatella along with all the candies that Leonardo gave to him.

How many candies did Leonardo lose?

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 west. 

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

Margot has 7 cubic bricks. Each brick has a different letter on each face. The letters on each brick are:

Brick 1: EDFJLC

Brick 2: SZIVHW

Brick 3: MXEHBM

Brick 4: CAWKEL

Brick 5: NTRZMY

Brick 6: GYXRHJ

Brick 7: OVFLBC

Which one of the following can Margot not spell out with her bricks?

Charity was asked by her mother to purchase 7 metres of fabric from only one of the shops in the fabric lane. She was given $1,000 to purchase the fabrics and was told that she can keep the change as a reward for being an obedient daughter.

 The different stores offered the following promotional discounts: 

Assuming Charity was able to buy the fabric for the least cost, how much money does she get to keep for herself?

Mobile phones use the following keys for forming words when sending text messages.

To form the word RED, for instance, requires 7 to be pressed three times, 3 to be pressed twice, then 3 to be pressed once more. 

Message: “May we meet again someday.”

Which key was pressed the most number of times?

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

National Entrance Exams are created to assess whether or not a certain student is equipped with the minimum skills and intelligence that the school has set for itself based on its standards. It is a glorified version of ‘trimming the fat’ where students who did not have access to resources and privileges like the affluent ones did will inevitably lose the opportunity to improve their circumstances. Due to its oppressive nature, we must remove these entrance exams.

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

Studying abroad lets you see and learn new places and cultures. It allows you to make more culturally diverse friends and gives you a better understanding of the world as a whole, all while earning your degree. It will help you learn valuable skills, like how to speak other languages, how to become more flexible, and how to become a good problem-solver. 

Which among the following statements best concludes the argument?

A recent study has proven that the Omicron wave that hit Australia earlier this year was far greater than previously believed. Additionally, Australia’s Health Minister Mark Butler agreed that over the next few years, there will be a “very huge wave” of people with lengthy COVID. Long COVID is defined by the World Health Organisation as symptoms that appear three months after infection and last at least two months but are not consistent with any other conditions. As limitations are relaxed and the number of cases increases, physicians and researchers have been raising concerns about the lengthy COVID’s growing threat.

Which among the following best stated the conclusion of the passage above?

Remington Middle School values its students’ grades a lot. They conduct monthly exams for all students and the class average is derived to assess which classes are doing better than the others.

The students of Mrs Robinson’s classes had the following average exam scores:

Due to a system glitch that occurred after a sudden power outage, some exam scores fromanother teacher’s class were transferred to one of Mrs Robinson’s classes causing an increase in class average as shown in the bar chart below: (the class averages are still in multiples of 5)

Which Class received the scores by mistake?

Ford has officially launched its new F9000 car model which has 4 wheels and one spare attached to the back. It also launched a mini V3000 model which has 4 wheels only. This year, both of these models had the same number of sales and the same manufacturing count.

If Ford used 5,859 wheels in their manufacturing of the 2 new models, how many units of F9000 and V3000 did they manufacture?

Cornelia, Amy, and Tyra are competing with each other on a 10-round quiz bowl cup. Their current standing is as follows:

Amy is confident that she will never rank in 3rd place for the remaining rounds.

If every 1st place is worth 5 points, 2nd place for 4 points, and 3rd place for 2 points, how many times (at a minimum) should Amy rank 1st for her to guarantee a win in the quiz bowl cup?

The village of Caiyi, and its allied villages, follow a shared set of strict protocols. Only when the gong in the village rings can the farmers start their daily routine. Only the village chief is allowed to ring the gong.

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

Jake: “If the farmers started their daily routine after the gong rings, then they are in Caiyi village.”

Elise: “If Jake cannot ring the gong, it must mean that Jake is definitely not the village chief.”

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?

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

Jay: “If Margarette is experiencing a sugar rush, she definitely did not eat candies.”

Ann: “If Margarette is not experiencing a sugar rush, it’s only because she ate candies.”