Question 1 Data Sufficiency (ratios) A bookstore sold only hardcover and paperback copies of a certain novel last week. How many hardcover copies of the novel did the store sell last week?
(1) The store sold 3 times as many paperback copies of the novel as hardcover copies.
(2) The store sold a total of 120 copies of the novel.
Answer options for question 1 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.
Question 2 Graphics Interpretation (bar chart) A bar chart shows the number of online orders, in thousands, that a retailer received in each quarter of 2024 and 2025. Each quarter has two bars, one for each year. The heights of the bars are given in the table.
Complete each statement by selecting the option that makes it accurate according to the information in the chart.
The quarter whose share of the retailer's total orders for the year was smaller in 2025 than in 2024 was _____.
The retailer's total orders for 2025 were _____ greater than its total orders for 2024.
Online orders (thousands) Quarter 2024 2025 Q1 40 47 Q2 35 42 Q3 50 54 Q4 75 87
The quarter whose share of the retailer's total orders for the year was smaller in 2025 than in 2024 was A Q1 B Q2 C Q3 D Q4 The retailer's total orders for 2025 were greater than its total orders for 2024 by A 10% B 13% C 15% D 20% E 30%
Question 3 Table Analysis (rates and medians) The table shows 2025 figures for the eight branches of a café chain. Revenue is in thousands of dollars. “Change from 2024” is the percent change in each branch's revenue from 2024 to 2025.
For each of the following statements, select True if the statement is true based on the information in the table. Otherwise, select False.
Branch Region Revenue ($ thousands) Change from 2024 Staff Ashford North 1,240 +6% 14 Bayview South 980 −3% 11 Cedar Park East 1,515 +12% 17 Dunmore North 860 +2% 10 Elmwood West 1,120 −5% 12 Fairhaven South 1,390 +9% 15 Glenrock East 770 +4% 9 Harbor Point West 1,060 +1% 13
The branch with the most staff also had the greatest revenue per staff member. A True B False Of the branches with revenue above $1,000 thousand, more than half increased their revenue by at least 5% from 2024 to 2025. A True B False The median revenue of the eight branches was greater than $1,100 thousand. A True B False
Question 4 Two-Part Analysis (strengthen and weaken) Museum director: Our galleries are crowded on weekends but nearly empty on weekday afternoons. To spread visits more evenly, we will cut weekday-afternoon admission from $18 to $8. The lower price will lead many people who now visit only on weekends to come on weekday afternoons instead.
Select the statement that would most strengthen the director's argument and the statement that would most weaken it. Make only two selections, one in each column.
Most strengthens A In a survey, most of the museum's weekend visitors named the admission price as their main reason for not visiting on weekday afternoons. B The museum last changed its admission prices six years ago. C The museum's building opened more than a century ago. D Most of the museum's weekend visitors are at work or in school throughout the hours the museum is open on weekday afternoons. E Most of the paintings in the museum's collection were donated by private collectors. Most weakens A In a survey, most of the museum's weekend visitors named the admission price as their main reason for not visiting on weekday afternoons. B The museum last changed its admission prices six years ago. C The museum's building opened more than a century ago. D Most of the museum's weekend visitors are at work or in school throughout the hours the museum is open on weekday afternoons. E Most of the paintings in the museum's collection were donated by private collectors.
Question 5 Data Sufficiency (odd and even) If k k
(1) k 2 + k
(2) k 2 + 4
Answer options for question 5 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.
Questions 6–8
Choosing delivery carriers Tab 1 – Email from the head of operations
From January, all home deliveries in our Northern region will go with one or more of the four carriers on the rate card. Two rules apply. First, we will use only carriers that delivered at least 95% of their shipments on time last year. Second, a shipment can go only with a carrier whose weight limit is at least the shipment's weight. Within those rules, each shipment goes with whichever carrier charges the least for it.
Tab 2 – January forecast
We expect 400 small parcels, 150 medium parcels and 60 large parcels in January. For planning, treat every small parcel as weighing 10 kg, every medium parcel as weighing 35 kg and every large parcel as weighing 90 kg.
Tab 3 – Carrier rate card
Each carrier charges a fixed fee per shipment plus a charge for each kilogram of the shipment's weight. The table also shows each carrier's maximum shipment weight and the percentage of its shipments that it delivered on time last year.
Carrier Fee per shipment Charge per kg Weight limit On time last year Brightway $12.00 $0.80 40 kg 97% Coastline $20.00 $0.50 120 kg 95% Delmar $6.00 $1.10 60 kg 93% Fenwick $35.00 $0.30 200 kg 98%
Question 6 Multi-Source Reasoning (applying rules) Under the rules in the head of operations' email, how much would it cost to send a single shipment weighing 70 kg?
Answer options for question 6 A $21.00 B $35.00 C $55.00 D $56.00 E $68.00
Question 7 Multi-Source Reasoning (evaluating statements) For each of the following statements, select Yes if the statement is true based on the information provided. Otherwise, select No.
Under the email's rules, every small parcel forecast for January would go with Brightway. A Yes B No If Delmar had delivered 95% of its shipments on time last year, it would be the carrier used for medium parcels. A Yes B No Under the email's rules, Coastline would carry more of the forecast January shipments than any other carrier. A Yes B No
Question 8 Multi-Source Reasoning (totals) Under the rules in the head of operations' email, what is the total forecast cost of the January shipments?
Answer options for question 8 A $16,145 B $17,345 C $17,525 D $17,720 E $19,525
Question 9 Data Sufficiency (algebra) If x y x + y = 23 x y
(1) x − y = 7
(2) x 2 + y 2 = 289
Answer options for question 9 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.
Question 10 Two-Part Analysis (percents) Each month, a salesperson is paid a commission of 4% on her first $50,000 of sales in the month plus 7% on any sales above $50,000. Her commission was $4,800 in March and $1,400 in April.
Select her total sales in March and her total sales in April. Make only two selections, one in each column.
Sales in March A $20,000 B $35,000 C $40,000 D $50,000 E $90,000 F $120,000 Sales in April A $20,000 B $35,000 C $40,000 D $50,000 E $90,000 F $120,000
Question 11 Graphics Interpretation (scatter plot) A chain plotted last month's results for its 10 stores on a scatter plot. Each store is one point: its horizontal coordinate is the store's advertising spend and its vertical coordinate is the store's sales, both in thousands of dollars. The table lists the coordinates of the 10 points.
Complete each statement by selecting the option that makes it accurate according to the information in the graph.
The number of stores whose sales were more than 10 times their advertising spend is _____.
If the point for the store with the highest sales is removed, the median sales of the remaining stores, in thousands of dollars, is _____.
Store Advertising spend ($ thousands) Sales ($ thousands) Store 1 2 30 Store 2 3 41 Store 3 4 38 Store 4 5 62 Store 5 6 55 Store 6 7 80 Store 7 8 74 Store 8 9 98 Store 9 10 95 Store 10 12 110
The number of stores whose sales were more than 10 times their advertising spend is A 4 B 5 C 6 D 7 With the highest-sales store removed, the median sales of the remaining stores, in thousands of dollars, is A 55 B 58.5 C 62 D 68 E 74
Question 12 Data Sufficiency (weighted averages) Every employee at a call center works either full-time or part-time. What percent of the call center's employees work part-time?
(1) The call center has 36 more full-time employees than part-time employees.
(2) Last week, each full-time employee worked exactly 40 hours, each part-time employee worked exactly 20 hours, and the average (arithmetic mean) number of hours worked per employee was 35.
Answer options for question 12 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.
Question 13 Table Analysis (percentages) The table shows last year's admissions figures for the eight master's programs at a business school. A program's offer rate is the number of offers made as a percentage of applications. Its yield is the number of students enrolled as a percentage of offers made.
For each of the following statements, select Yes if the statement is true based on the information in the table. Otherwise, select No.
Program Applications Offers made Students enrolled Accounting 420 126 70 Analytics 610 140 84 Finance 880 176 95 Marketing 350 133 77 Operations 240 108 45 Strategy 510 119 78 Supply Chain 300 99 58 Entrepreneurship 270 81 54
The program with the highest yield received the second-lowest number of applications. A Yes B No The program with the lowest offer rate also had the lowest yield. A Yes B No Across the eight programs combined, more than 15% of all applicants enrolled. A Yes B No
Question 14 Two-Part Analysis (whole-number constraints) A warehouse must ship an order of exactly 97 identical items. It can use large crates, which hold exactly 12 items each, and small crates, which hold exactly 5 items each. Every crate used must be completely full, and the warehouse uses the smallest total number of crates that meets these conditions.
Select the number of large crates and the number of small crates that the warehouse uses. Make only two selections, one in each column.
Large crates A 1 B 5 C 6 D 7 E 8 F 17 Small crates A 1 B 5 C 6 D 7 E 8 F 17
Question 15 Data Sufficiency (statistics) List L consists of five different integers, and the median of the integers in L is 12. Is the average (arithmetic mean) of the integers in L greater than 12?
(1) The least integer in L is 4.
(2) The greatest integer in L is 25.
Answer options for question 15 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.
Question 16 Graphics Interpretation (line graph) A line graph shows a company's annual revenue and annual operating costs, in millions of dollars, for 2020 through 2025. Each of the two lines joins six points, one for each year, at the values in the table. Operating profit equals revenue minus operating costs.
Complete each statement by selecting the option that makes it accurate according to the information in the graph.
Operating profit as a percentage of revenue was greatest in _____.
From 2020 to 2025, revenue grew at a compound annual rate closest to _____.
Year Revenue ($ millions) Operating costs ($ millions) 2020 50 44 2021 56 48 2022 60 53 2023 66 56 2024 72 63 2025 80 68
Operating profit as a percentage of revenue was greatest in A 2021 B 2022 C 2023 D 2024 E 2025 From 2020 to 2025, revenue grew at a compound annual rate closest to A 8% B 10% C 12% D 60%
Question 17 Data Sufficiency (divisibility) If p q p q
(1) p = 2 q + 6
(2) q
Answer options for question 17 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.
Question 18 Table Analysis (calculated values) The table shows data for eight power plants. Capacity is the most power a plant can produce at any moment. Capacity factor is the plant's actual electricity output in 2025 as a percentage of what it would have produced running at full capacity all year, so each plant's 2025 output is proportional to its capacity multiplied by its capacity factor. The last column gives the percent change in each plant's output from 2024 to 2025.
For each of the following statements, select True if the statement is true based on the information in the table. Otherwise, select False.
Plant Fuel Capacity (MW) Capacity factor, 2025 Change in output, 2024 to 2025 Northgate Gas 600 48% −6% Riverbend Wind 300 36% +12% Stonecliff Coal 800 42% −15% Tarn Valley Hydro 250 55% +4% Westmoor Wind 450 33% +20% Oakridge Solar 200 24% +35% Lakeshore Gas 500 62% +3% Highfield Nuclear 900 90% −2%
In 2025, the two gas-fired plants together produced more electricity than Stonecliff and the two wind farms combined. A True B False Lakeshore produced more electricity than Stonecliff in 2025. A True B False The plant with the third-highest output in 2025 also had the third-highest output in 2024. A True B False
Question 19 Two-Part Analysis (logical ordering) Six colleagues – Amina, Bilal, Chen, Dario, Eun-ji and Farah – will each give one presentation at a team meeting, one after another in six consecutive time slots. The order must meet these conditions:
Chen presents immediately before Dario.
Bilal presents either second or fifth.
Eun-ji presents at some point after Dario.
Farah presents at some point before Amina.
Amina presents at some point before Chen.
Select the colleague who must present first and the colleague who must present last. Make only two selections, one in each column.
Presents first A Amina B Bilal C Chen D Dario E Eun-ji F Farah Presents last A Amina B Bilal C Chen D Dario E Eun-ji F Farah
Question 20 Data Sufficiency (whole-number solutions) Ines bought only candles, at $5 each, and picture frames, at $8 each. She bought at least one of each and spent exactly $93 in total. How many picture frames did she buy?
(1) Ines bought more picture frames than candles.
(2) Ines bought an odd number of picture frames.
Answer options for question 20 A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are not sufficient.