PrepCenter Agency

Quantitative Reasoning section

Q1.If $Équation$ and $Équation$ , what is the value of: $Équation$ ?

21 23 25 27 29

Q2.When positive integer n is divided by 6, the remainder is 4. What is the remainder when 3n is divided by 6?

0 1 2 3 4

Q3.A container initially contains 40 liters of a solution that is 25% acid. How many liters of pure acid must be added to make the solution 40% acid?

Open Attachment

6 8 10 12 15

Q4.What is the value of: $Équation$ ?

1 3 9 27 81

Q5.Machine A can complete a task in 6 hours and Machine B can complete the same task in 4 hours. If both machines work together, how long will it take them to complete the task?

2 hours 12 minutes 2 hours 24 minutes 2 hours 30 minutes 3 hours 3 hours 20 minutes

Q6.The median of five distinct integers is 12. If the greatest integer is 20 and the least integer is 4, which of the following could be the average of the five integers?

10 11 12 13 14

Q7.if $Équation$ , which of the following must be true?

$Équation$ $Équation$ $Équation$ $Équation$ $Équation$

Verbal Reasoning section

Q8.A company claims that allowing employees to work remotely increases productivity because workers experience fewer office distractions. However, some managers argue that remote work reduces collaboration among employees. Which of the following, if true, most strengthens the company’s claim?

Many employees prefer working remotely. Several companies have reduced office space costs after adopting remote work. Studies show that employees working remotely complete more tasks per hour than office workers. Managers find it more difficult to supervise remote employees. Remote employees spend more time using communication software.

Q9.A city government plans to reduce traffic congestion by increasing parking fees downtown. Officials believe that higher parking costs will encourage people to use public transportation instead of driving. Which of the following, if true, most weakens the argument?

Public transportation usage usually increases during winter months. Many downtown workers receive free parking from their employers. Some citizens prefer driving because it is faster than public transport. Traffic congestion is worse during weekends than weekdays. The city recently expanded several parking lots downtown.

Q10.A nutritionist claims that eating breakfast improves students’ academic performance because students who eat breakfast are more attentive during morning classes. The nutritionist’s argument depends on which of the following assumptions?

Most students prefer sweet foods for breakfast. Attentiveness during class contributes to academic performance. Students who skip breakfast sleep fewer hours. Breakfast is the most important meal of the day. Morning classes are more difficult than afternoon classes.

Q11.Passage: Many economists argue that automation will eliminate certain jobs in the coming decades. However, history shows that technological progress often creates new categories of employment even while older jobs disappear. As a result, some researchers believe that automation will transform the labor market rather than simply reduce employment overall. Which of the following is best supported by the passage?

Automation will eliminate all low-skilled jobs. Technological progress has never caused unemployment. Automation may both destroy and create jobs. Economists agree completely about automation’s effects. Automation affects only industrial sectors.

Q12.Passage: Urban planners increasingly support the development of public parks in large cities. Research suggests that green spaces improve mental health, reduce pollution, and encourage physical activity. Nevertheless, some critics argue that maintaining parks can be expensive for local governments. The primary purpose of the passage is to:

argue that cities should eliminate public parks compare urban and rural lifestyles discuss advantages and criticisms of public parks explain how parks increase pollution describe the history of urban planning

Q13.A school administrator argues that introducing tablets into classrooms will improve student learning because students will have easier access to educational resources. Which of the following would be most useful to evaluate the administrator’s argument?

Whether students enjoy using tablets Whether tablets are more expensive than textbooks Whether students using tablets actually achieve better academic results Whether teachers prefer printed books Whether tablets are lighter than traditional textbooks

Q14.A restaurant owner states: “Since our restaurant was renovated last month, customer satisfaction has increased significantly. Therefore, the renovation must be the reason for the improvement.” Which of the following describes the flaw in the reasoning?

The argument ignores the possibility of other causes. The argument assumes customer satisfaction cannot change. The argument compares two unrelated restaurants. The argument confuses customer satisfaction with profit. The argument assumes renovations are always expensive.

Data Insight

Q15.Is x>y ? x−y=5 x+y=12

Statement (1) alone is sufficient. Statement (2) alone is sufficient. Both statements together are sufficient, but neither alone is sufficient. Each statement alone is sufficient. Statements (1) and (2) together are not sufficient.

Q16.Is $Équation$ an even integer? 1- $Équation$ is even 2- $Équation$ is odd

A. Statement (1) alone is sufficient. B. Statement (2) alone is sufficient. C. Both statements together are sufficient, but neither alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.

The graph above shows the relationship between cold calls and sales for the Mandala Company, for the years 2003, 2004, and 2005. In addition, the value n (not shown) represents the ratio of the number of sales made to the number of cold calls made.

Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.

Q17.The value of n is greater than 0.2 for points on the graph. For sales per 1000 calls, the difference between the highest value shown for 2003 and the lowest value shown for 2005 represents approximately from the 2003 value.

Translator: I was trying to determine the meaning of a particular passage from a certain nineteenth century author. The phrase would literally be translated as 'The duck rose and fell as on a seesaw." But there was only a one-letter difference between the word for duck in the original language and the word for spirit in the original language. I had competing interests: first, I wanted to be faithful to the words as they were written by the original author, but second, I had to consider how likely it was that the author meant to write spirit and whether there was a typographical error by either the author or the publisher.

Select for Support for translating as spirit the statement that, if true, provides the strongest support for translating the word in question as spirit. For Weakens that support, select the statement that, if true, most weakens that supporting statement. Make only two selections, one in each column.

Q18.Support for translating as spirit Weakens that support

A certain number of people visited an amusement park on a specific day, which featured three rides: the Ferris Wheel, Classic Wooden Rollercoaster, and Merry-Go-Round, costing $1, $2, and $3 per ride, respectively.

Each person spent an average of $2 per ride, and the total money spent was $120. Every person took at least one ride and did not repeat any ride.

Based on this information, select for Maximum the greatest possible number of visitors and for Minimum the smallest possible number of visitors who could have visited the park.

Q19.Maximum Minimum

For a small city, the graph represents the daily deviation, in minutes, of a commuter’s travel time from the expected commute time for each day in a 100-day period. Data is grouped into disjoint classes of deviations: for each value of T marked on the horizontal axis, the class centered at T includes all observed deviations greater than or equal to (T−1) minutes but less than (T+1) minutes. The height of each bar represents the number of deviations in the corresponding class. A given day’s commute is said to be x minutes shorter than normal if it is x minutes less than the left endpoint of the class centered at 0, and x minutes longer than normal if it is x minutes greater than the right endpoint of the class centered at 0.

Q20.From each drop-down menu, select the option that creates the most accurate statement based on the information provided. For a randomly selected day in this 100-day period, the probability that the commute time was at least 5 minutes longer than normal is , and the probability that the commute time was at least 1 minute longer than normal is .

Discussion: Metro Research is moving into a new office space, configured as shown in the Floor Plan, with eight individual offices (111, 112, 114, 115, 116, 117, 120, and 121) and four cubicles (119A through 119D). Each employee will be assigned exactly one workspace—an office or a cubicle—with no more than one employee per office or cubicle. Supervisors will not be assigned workspace in cubicles. If an employee has an immediate supervisor, the employee's office or cubicle must be adjacent to that supervisor's office.

Table: The table lists the ten employees at Metro Research and shows each employee's immediate supervisor, if any. The supervisors are also employees, so each supervisor's name appears in both columns.

Floor plan: The floor plan shows the office space that Metro Research will occupy, in the northeast corner of one floor of a building. Two offices are adjacent to each other if and only if they are separated by a common wall. A different definition of adjacent applies to cubicles: cubicles 119A and 119B are adjacent only to office 121, while 119C and 119D are adjacent only to office 120.

Q21.Based on the information and workspace assignment rules provided, how many employees are there, each of whom could be assigned to office 112?

1 2 3 4 5

Note: For each of the following situations, select Yes if, based on the information and workspace assignment rules provided, it would PREVENT some employees from being assigned workspace using the current rules. Otherwise, select No.

Q22.Mei, Pablo, and Selena need offices because the projects they work on require the highest levels of security. Two additional employees are hired and will be supervised by Jamal. Richard resigns his position at Metro Research.

Q23.For each of the following pairs of employees, select Yes if, based on the information and workspace assignment rules provided, the two employees might be assigned offices 111 and 112. Otherwise, select No. Kim and Richard Jamal and Atticus Mei and Ciaran

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