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The Townsville City Council is considering installing toll booths on all of the major roads leading into the city as part of a new proposal. The rationale put forward by the council in support of this fee is that it will motivate a significant number of commuters to switch from using their personal automobiles to the public transportation system. If there are fewer private cars on the road, then there will be less traffic on the city’s main highways.
Which of the following statements, if true, best strengthens the above argument?
The number of sick days an employee takes in a given week is inversely proportional to the number of times they take a break during working hours to participate in guided relaxation exercises. Even workers who participate in a once-a-week guided relaxation break during working hours take fewer sick days than their counterparts who do not engage in relaxation activities. As a result, there would be a sizable drop in the percentage of employees absent from their respective companies if businesses implemented guided relaxation programmes.
Which of the following statements, if true, best weakens the above argument?
According to recent research in the medical field, an improvement in an average worker’s physical health is associated with a significant rise in that worker’s productivity. Therefore, in order to increase overall productivity, Company ABC ought to mandate that its employees participate in daily exercise programmes.
Which of the following statements, if true, best strengthens the above argument?
Over the course of the past fifteen years, there has been a significant reduction in the percentage of young adults in a particular county who are unable to read or write. Officials in the field of education believe that this drop is entirely attributable to the improved conditions in the schools, which have led to a better teaching environment and a lower overall rate of illiteracy.
Which of the following statements, if true, best weakens the above argument?
In a free society, people have the right to take risks as long as they do not cause harm to others as a result of taking those risks, which is the main argument made by opponents of laws that require motorcyclists to wear helmets when they are on the road. As a consequence of this, they reach the conclusion that the choice of whether or not to wear a helmet should be left up to the individual.
Which of the following statements, if true, best weakens the above argument?
A new student came into Mrs. Betty’s homeroom class. Mrs. Betty, the homeroom teacher, introduced the student, named Oliver, in front of the class. Oliver went to his classmates and greeted them one by one. |
Oliver: “Hi, I am Oliver. I am Paul’s brother. I hope we can be friends.”
Jane: “Oh, I am sorry. I cannot trust and make you my friend. You are Paul’s brother and he tested positive for COVID-19 last year. You might be sick.”
Which of the following sentences shows the mistake Jane has made?
The Prime Minister of Britain has approved a new bill to increase anti-terrorist efforts in the country. According to the new law, the government can now track things like people’s international money transactions, phone calls, and email correspondence.
Thousands of people took to the streets to demand the overturn of the statute in question. People are complaining that the new law severely restricts their personal liberty. |
Cedric: “ We are taking our first steps toward a dictatorship with the new anti-terrorism legislation that requires the monitoring of overseas money transfers, phone calls, messages, and emails.”
Which of the following best expresses the flaw in Cedric’s argument?
The Federal Aviation Administration recently held its annual homecoming ceremony to honor the agency’s pilots and aviation staff for their hard work and achievements over the past years. The Outstanding Flyer Award is one of the most sought after prizes in the aviation industry, and with good reason: the winner receives a substantial cash prize in addition to free airplane rides for life for themselves and their loved ones.
Amelia, one of the famous pilots from Qatar Airways, was expecting to get the award for herself. |
Amelia: “I have never received a violation from the Federal Aviation Administration during my 20-year flying career. I must be a great pilot. ”
Which of the following best expresses the flaw in Amelia’s argument?
Schools can move toward virtual setups and make notifications through their own school information system, both of which are advantages of offering online programs.
Educational materials, tests, events, and notices can all be electronically distributed to students, teachers, and department heads using the school’s information system. |
Jevie: “There are always problems of some sort when I try to utilize the school’s information system. The use of the school computer system must be discontinued..”
Which of the following best expresses the flaw in Jevie’s argument?
Lyka and Gera are longtime friends who have only recently reconnected. They planned to celebrate by going to the amusement park. The two friends went to the amusement park to enjoy the rides together.
After a long and tiring day, Lyka decided to rest at a coffee shop. |
Lyka: “Let’s go to the new coffee shop! I heard it is owned by Warren’s mom.”
Gera: “Don’t buy there, Lyka. Don’t you know that Warren’s mom just got out of prison? His mom is not a good person.”
Which of the following sentences shows the mistake Gera has made?
Organic farming of animals and crops benefits the environment by reducing the use of chemical fertilisers and pesticides, but this is insufficient. A completely vegetarian agriculture would be preferable. Ninety percent of the vegetable matter fed to farm animals is digested without loss of calorific value. Significantly less land would have to be harmed if people ate vegetables instead of feeding them to animals. The remaining land could be returned to its historical state of mixed deciduous woodland, which is desperately needed in the countryside.
Which of the following best expresses the main conclusion of the argument?
Peat is a type of organic matter that grows in wetlands. It is the ideal growing medium for plants, and it is in high demand among gardeners, both amateur and professional. However, peatland covers only 3% of the earth’s land surface, and continued harvesting of peat will endanger these unique wetland habitats. Gardeners should be encouraged to use an alternative instead of harvesting peat directly.
Which of the following best expresses the main conclusion of the argument?
The school administration of Scholarly Prep School conducted a survey on which birthday wish is the most common. The top five results are as follows (not in a particular order):
Birthday Wish | Votes |
Good Health | 380 |
More Money | 235 |
Unlimited Food | 140 |
New Toys | 285 |
Vacation Trip | 100 |
Which of the following correctly represents the pie chart for the findings above?
A freelance digital artist charges prices according to the particular letters that she has to write.
She puts the lowercase letters of the alphabet into these categories:
Type 1 | c, f, i, j, l, t |
Type 2 | a, h, n, o, r, u, v |
Type 3 | b, d, e, g, p, q, y |
Type 4 | k, m, s, w, x, z |
She charges as follows:
20 cents for every Type 1 letter that is followed by a Type 1 or Type 2 letter
25 cents for every Type 1 letter that is not followed by a Type 1 or Type 2 letter
30 cents for every Type 2 letter
35 cents for every Type 3 letter that is followed by a Type 1 letter
40 cents for every Type 3 letter that is not followed by a Type 1 letter
45 cents for every Type 4 letter
50 cents for every capital letter, regardless of its Type
Desiree, a customer, wants to have this word designed:
September
How much will this cost?
Katrina wants to buy 10 pairs of sandals for her collection. For convenience, she wants to buy all pairs of sandals from one shop only. Listed below are the different sandal stores and their various promo discounts:
Sandal Store | Price per pair of sandals | Promo Discount |
Shop A | $145 | Buy 4, Get 1 Free |
Shop B | $150 | 15% off on total purchases |
Shop C | $140 | $199 less on total price |
If Katrina chooses the cheapest sandal store, how much will remain if she pays through her ATM card with a balance of $2,999?
In December 2022, Landers decided to offer a promo discount for their customers who qualify for their loyalty program. The customers must meet both the requirements of the program:
Here are the customers who wanted to be part of the loyalty program:
TOTAL PURCHASES PER MONTH ($) | ||||
Name | August | September | October | November |
Rachel | 420 | 357 | 624 | 851 |
Sherrah | 662 | 801 | 478 | 229 |
Vanessa | 502 | 179 | 972 | 610 |
Princess | 749 | 645 | 580 | 258 |
Who among the customers qualified for the loyalty program?
Fifteen students are applying for the School Quiz Bowlers Team. They need to take three tests, marked out of 80, 70, and 75, respectively.
The results of the first two tests taken are shown below.
Test 1 | Test 2 | |
Celine | 74 | 62 |
Eugene | 72 | 65 |
Raissa | 68 | 69 |
Claire | 67 | 60 |
Bridgette | 70 | 60 |
Andrei | 75 | 67 |
Rose | 65 | 67 |
Alicia | 71 | 65 |
Prince | 69 | 69 |
Megan | 78 | 68 |
Louis | 72 | 64 |
Therese | 74 | 65 |
Mark | 73 | 64 |
Mardina | 80 | 63 |
Cristy | 70 | 69 |
The top student will be automatically accepted into the quiz bowl team if they get the highest combined total score from the three tests. If two students are tied for the highest score, a tiebreaker or clincher round will commence.
As the scores currently stand, one student is surely able to join the quiz bowl team as long as a high enough score is achieved in the final test.
What is the minimum score on the final test that will guarantee this student the membership?
A sudoku puzzle is shown below where instead of numbers, figures are used. The rules of this puzzle are as follows:
Rule 1 – Each row must contain each of the four figures, without repetitions.
Rule 2 – Each column must contain each of the four figures, without repetitions.
Rule 3 – The figure can only occur once in each block (2 by 2 blocks).
By identifying the arrangement of the figures in the whole 4 by 4 grid, which figure should be placed within the box marked with a question mark?
Some statements are given in the question below, followed by some conclusions. You must accept the given statements as true, even if they appear to contradict commonly known facts. Read all the conclusions and then decide which one logically follows from the given statements.
Statements:
1.) All the plastic bottles are boxes.
2.) All the boxes are bags.
3.) Some bags are trays.
4.) No box is a tray.
Conclusions:
1.) Some plastic bottles are trays.
2.) Some trays are boxes.
3.) All the plastic bottles are bags.
4.) Some trays are bags.
Which of the following logically follows?
Ben and Rose participated in Mrs. Ivy’s science experiment in their classroom, which involved a mixture of various chemicals common in the household. The two pupils pair themselves as they listen to the instructions given by their science teacher, Mrs. Ivy.
Mrs. Ivy mentioned, “Cornstarch dissolves in water immediately, leaving no lumps after stirring.” |
Ben: “So if I mix this powder and water together and no lumps appear, then it must be cornstarch.”
Rose: “No, it is when you mix this powder with water, and with no lumps appearing, it would be cornstarch.”
If the information in the box is true, whose reasoning is correct?
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 the statements in each question and choose the correct answer from the given answer options.
Statements:
|
Angel used the binary number system of coding to send a message to his friend Jonard.
If the message “CALLIGRAPHY” is written as
01000011 01000001 01001100 01001100 01001001 01000111 01010010 01000001 01010000 01001000 01011001
What is the code for PIRACY?
Two letters must be placed in each set of brackets so that they form a word when tacked to the letters on the left and another word when placed in front of the letters on the right. The letters placed in the brackets must produce an eight-letter word when read downwards in pairs.
FI (_ _) AL
GA (_ _) OT
NO (_ _) CE
WI (_ _) AL
What word can be formed?
Franz has a large number of passwords he needs to remember from the many school email accounts he has. Thinking it will be more secure, he uses an alternative alphabet to create the passwords required to access the different accounts. He uses a version of the Leet alphabet, shown in the table below, to create these passwords. So, for example, REAL could be translated as 2341. To access his Library account online, he makes the password by translating his hint word BLASTER using the Leet alphabet.
Take note that numbers combined with a symbol such as “I” or other similar symbols can still be counted separately.
If the word BLASTER is translated and the numbers are added up, which one of the following totals is not a possibility?
A bag contains 3 red marbles and 4 green marbles. If Drake draws 2 marbles out of the bag without replacing them. What is the probability that you will draw 2 red marbles?
Six airplanes—D, E, F, G, H, and I—must land at an airport that has one runway. The airplanes must land one at a time and all the planes must land at the airport. The order that the airplanes land must adhere to the following rules.
F lands earlier than D.
G lands earlier than D and later than I.
H lands immediately before or after F lands.
Which one of the following could be an accurate matching of airplanes to landing times?
A special code uses these two rules in encoding words:
For example, DREAM is coded as WOVXN, and MAJOR is coded as NXQLI.
How would you code EXPERTISE?
Lawrence uses similar passwords for his five online bank accounts. All of his passwords consist of 8 characters. He knows that the password for his BDO account has exactly one different character from the passwords of his other accounts. His passwords are shown below:
Metrobank: $*Bd#R8%
BPI: $*Bd#P3%
RCBC: @*Bd#P8%
PNB: $*Bd&P8%
What is Lawrence’s BDO account password?
Two childhood friends, Efren and Lyka, use a grid code when writing messages to each other. Letter K uses the same code as C. The grid looks like this:
1 | 2 | 3 | 4 | 5 | |
A | A | B | C | D | E |
B | F | G | H | I | J |
C | L | M | N | O | P |
D | Q | R | S | T | U |
E | V | W | X | Y | Z |
For example, the word ACCEPT could be coded as A1A3A3A5C5D4.
Efren has written the following message: B3C4E2 A4B4A4 E4C4D5 D3D5A3A3A5A5A4?
If Lyka wants to reply with the message “Never be afraid to take risks”, how should she encode it?
I have a 6 digit code for my cell phone pin code.
The third digit is the same as the sixth digit.
By adding 3 to the first two digits you get the fourth and fifth digits.
The fourth digit is 3 less than the third digit.
The sixth digit is 8.
Three of the digits are less than 6, and none of them is 0.
What is the first digit of my cell phone pin code?
Jeff has eight cubic bricks. Each brick has a different letter on each face.
The letters on each brick are:
Brick 1 – XTORNP
Brick 2 – VTTNEG
Brick 3 – BINVAQ
Brick 4 – YERLIP
Brick 5 – HCRTK
Brick 6 – JAEITF
Brick 7 – SNIEIW
Brick 8 – DEIANZ
Which one of the following can Jeff not spell out with his bricks?