The Integrated Reasoning section now evolved and integrated into the broader Data Insights section of the current GMAT exam evaluates a candidate’s ability to synthesize information from multiple sources, interpret complex graphical displays, analyze sortable tables, and solve multi-part quantitative and verbal problems. Accounting for one-third of the total GMAT score (205–805 scale) alongside Quantitative and Verbal Reasoning, this section requires strong business logic and data literacy rather than heavy manual calculation. Practicing targeted multiple-choice questions helps candidates master multi-source data navigation and improve decision-making speed under tight time constraints.
1. In GMAT Integrated Reasoning Table Analysis, what primary functionality is typically available to help test-takers organize and analyze multi-attribute data quickly?
Correct Answer: b) Column-based sorting dropdown menus
Explanation:
GMAT Table Analysis questions provide a spreadsheet-like dataset with column headers that can be sorted ascending or descending to analyze trends and reorder values.
2. A line graph depicts a company's revenue from 2018 to 2022. If revenue was $40 million in 2018 and $50 million in 2022, what was the percentage increase over this period?
Correct Answer: b) 25%
Explanation:
Percentage increase is calculated as ((50 - 40) / 40) * 100 = (10 / 40) * 100 = 25%.
3. In a Two-Part Analysis task, a project manager needs to assign two distinct roles, Lead Developer and Lead Tester, from a pool of 6 candidates. How many unique ways can these two distinct positions be filled?
Correct Answer: b) 30
Explanation:
Since the positions are distinct, order matters (permutations). Number of ways = 6 * 5 = 30.
4. Multi-Source Reasoning questions on the GMAT Integrated Reasoning section present information across multiple tabs. Which format is NOT typically used for information in these tabs?
Correct Answer: d) Executable Python code snippets
Explanation:
Multi-Source Reasoning tabs present text passages, emails, tables, diagrams, or charts, but do not contain executable code snippets.
5. A scatterplot displays employee tenure (in years) on the x-axis and monthly salary (in thousands of dollars) on the y-axis. If the line of best fit has an equation y = 2.5x + 35, what is the predicted salary for an employee with 6 years of tenure?
Correct Answer: b) $50,000
Explanation:
Substitute x = 6 into y = 2.5(6) + 35 = 15 + 35 = 50. Since salary is in thousands, 50 corresponds to $50,000.
6. In a Graphics Interpretation question featuring a bar chart of quarterly profits, Q1 is $2M, Q2 is $3M, Q3 is $1.5M, and Q4 is $3.5M. What is the average quarterly profit?
Correct Answer: b) $2.50M
Explanation:
Total profit = 2 + 3 + 1.5 + 3.5 = 10 million. Average = 10 / 4 = $2.50M.
7. A table lists 9 students' exam scores: 65, 70, 72, 75, 80, 85, 88, 90, 95. What is the median score?
Correct Answer: b) 80
Explanation:
The scores are already sorted. For 9 values, the median is the 5th value, which is 80.
8. In a Two-Part Analysis question involving speed, distance, and time, Train A travels 180 miles at a constant speed of 60 mph. How many hours does the journey take?
Correct Answer: b) 3.0 hours
Explanation:
Time = Distance / Speed = 180 / 60 = 3 hours.
9. Which of the following statements about the GMAT Integrated Reasoning scoring system is correct?
Correct Answer: b) The IR section is scored on a scale from 1 to 8 in single-digit increments.
Explanation:
The GMAT Integrated Reasoning score ranges from 1 to 8 in 1-point increments, and no partial credit is given within a single multi-part question.
10. A pie chart breaks down total annual budget ($1,200,000) into Marketing (30%), R&D (25%), Operations (35%), and Admin (10%). How much money is allocated to R&D?
Correct Answer: b) $300,000
Explanation:
R&D allocation = 25% of $1,200,000 = 0.25 * 1,200,000 = $300,000.
11. In a Table Analysis problem with 20 items, Column A represents Cost and Column B represents Weight. If you sort ascending by Weight and the top 5 items have weights under 2 kg, what can be definitively concluded?
Correct Answer: b) At least 5 items weigh under 2 kg.
Explanation:
Sorting ascending places the smallest values at the top. If the top 5 items weigh under 2 kg, there are at least 5 such items (and potentially more).
12. A Two-Part Analysis task asks to find values for x and y that satisfy: x + y = 12 and 2x - y = 3. What is the value of x?
Correct Answer: b) 5
Explanation:
Add the two equations: (x + y) + (2x - y) = 12 + 3 => 3x = 15 => x = 5.
13. In Multi-Source Reasoning, Tab 1 states 'All regional directors must approve capital expenditures exceeding $100,000.' Tab 2 notes 'Director Smith rejected Proposal X, which requested $150,000.' What must be true?
Correct Answer: b) Proposal X failed to meet the required regional director approval.
Explanation:
Since expenditures exceeding $100k require approval from ALL regional directors, rejection by Director Smith means it did not obtain required approval.
14. A stacked bar chart illustrates sales of Product A and Product B over 3 months. Month 1: A=$10k, B=$20k. Month 2: A=$15k, B=$15k. Month 3: A=$20k, B=$10k. What is the trend in total combined sales?
Correct Answer: c) Constant at $30k each month
Explanation:
Month 1 total = 10+20 = 30k; Month 2 total = 15+15 = 30k; Month 3 total = 20+10 = 30k. Total sales remain constant.
15. In a dataset of 100 values, the minimum is 10, Q1 is 25, Median is 50, Q3 is 75, and Maximum is 100. What is the Interquartile Range (IQR)?
Correct Answer: b) 50
Explanation:
Interquartile Range (IQR) = Q3 - Q1 = 75 - 25 = 50.
16. A Two-Part Analysis question asks to find the rate of work. Machine X completes a task in 4 hours, and Machine Y completes it in 6 hours. Working together, how many hours do they take?
Correct Answer: b) 2.4 hours
Explanation:
Combined rate = 1/4 + 1/6 = 5/12 tasks per hour. Time taken = 12 / 5 = 2.4 hours.
17. A scatterplot shows a strong negative linear correlation between product price and quantity sold. Which of the following correlation coefficients (r) best represents this relationship?
Correct Answer: c) -0.88
Explanation:
A strong negative correlation is represented by a value close to -1, such as -0.88.
18. In Table Analysis, a set of 15 cars lists price, fuel efficiency (mpg), and safety rating (1-5). To find the car with the highest safety rating that costs less than $25,000, what is the best initial action?
Correct Answer: b) Sort by safety rating descending
Explanation:
Sorting safety rating descending places top-rated safety cars at the top, allowing quick scanning down to find the first car costing under $25,000.
19. If a bar graph shows profits of $100k, $120k, $90k, and $150k across four quarters, what is the range of quarterly profits?
Correct Answer: c) $60,000
Explanation:
Range = Maximum - Minimum = $150,000 - $90,000 = $60,000.
20. In Multi-Source Reasoning, Email 1 states 'Meeting is rescheduled to Tuesday at 2 PM.' Email 2 states 'Room 302 is booked all day Tuesday.' Email 3 states 'All 2 PM meetings move to Room 101 if Room 302 is unavailable.' Where will the meeting occur?
Correct Answer: b) Room 101
Explanation:
The meeting is Tuesday at 2 PM. Room 302 is unavailable, so per Email 3, it moves to Room 101.
21. A dual-axis graph shows temperature (left axis) and ice cream sales (right axis) over 12 months. Both curves peak simultaneously in July. What relationship does this graph demonstrate?
Correct Answer: b) Positive correlation between temperature and ice cream sales.
Explanation:
When both variables increase and peak together, they demonstrate a positive correlation.
22. Two-Part Analysis: If 3x + 2y = 16 and x = y + 2, what is the value of y?
Correct Answer: b) 2
Explanation:
Substitute x into equation 1: 3(y + 2) + 2y = 16 => 3y + 6 + 2y = 16 => 5y = 10 => y = 2.
23. In Table Analysis, if a column displays standard deviations of monthly sales for 5 stores: Store A (12), Store B (5), Store C (22), Store D (8), Store E (15), which store has the most consistent sales?
Correct Answer: b) Store B
Explanation:
A lower standard deviation indicates less variability and thus more consistent sales. Store B has the lowest standard deviation (5).
24. A bubble chart plots revenue (x-axis), profit (y-axis), and market share (bubble size). Which company represents high market share despite low profit?
Correct Answer: a) Large bubble located low on the y-axis
Explanation:
Bubble size corresponds to market share (large = high), and y-axis position corresponds to profit (low = low profit).
25. Multi-Source Reasoning: Tab 1 specifies 'Discount of 10% applies to orders over $500.' Tab 2 states 'Shipping is free for orders over $450 after discounts.' If an order total before discount is $600, what is the final cost including shipping?
Correct Answer: a) $540
Explanation:
Discount = 10% of $600 = $60. Discounted price = $540. Since $540 > $450, shipping is free. Final cost = $540.
26. In a Graphics Interpretation question, a line chart shows cumulative profits over 4 quarters: Q1=$10k, Q2=$25k, Q3=$35k, Q4=$60k. What was the individual profit made in Q4 alone?
Correct Answer: b) $25k
Explanation:
Q4 profit alone = Cumulative Q4 - Cumulative Q3 = 60k - 35k = 25k.
27. A table lists 5 investments with initial principals and compound interest rates. Investment 1: $1000 at 5% for 2 yrs. Investment 2: $1000 at 10% simple interest for 2 yrs. What is the difference in final interest earned?
Correct Answer: a) $97.50
Explanation:
Inv 1 (Compound): 1000(1.05)^2 = 1102.50 -> Interest = $102.50. Inv 2 (Simple): 1000 * 0.10 * 2 = $200. Difference = $200 - $102.50 = $97.50.
28. Two-Part Analysis: A mixture contains liquid A and liquid B in a 3:2 ratio. If the total volume is 50 liters, how many liters of liquid A are in the mixture?
Correct Answer: b) 30 liters
Explanation:
Total parts = 3 + 2 = 5. Liquid A volume = (3/5) * 50 = 30 liters.
29. In Graphics Interpretation, a normal distribution curve has a mean of 50 and standard deviation of 10. Approximately what percentage of values lie between 40 and 60?
Correct Answer: b) 68%
Explanation:
By the empirical rule, approximately 68% of data in a normal distribution falls within one standard deviation (50 ± 10) of the mean.
30. In a Table Analysis statement verification task, a column lists percentages: 12%, 18%, 25%, 30%, 15%. What is the mean percentage of this group?
Correct Answer: b) 20%
Explanation:
Sum = 12 + 18 + 25 + 30 + 15 = 100%. Mean = 100% / 5 = 20%.
31. Multi-Source Reasoning: Document A states 'Filter X catches particles larger than 10 microns.' Document B states 'Dust type Y ranges from 5 to 15 microns.' Which particles of Dust Y will pass through Filter X?
Correct Answer: b) Particles between 5 and 10 microns
Explanation:
Filter X catches particles > 10 microns, so smaller particles (5 to 10 microns) pass through.
32. In Two-Part Analysis, if speed v = d / t, and distance d increases by 20% while time t decreases by 20%, by what factor does speed v change?
Correct Answer: c) 1.50
Explanation:
New speed = (1.20d) / (0.80t) = (1.20 / 0.80) * (d / t) = 1.5 * v.
33. A bar chart displays survey results where 120 out of 400 respondents chose Option A. What percentage of respondents chose Option A?
Correct Answer: b) 30%
Explanation:
Percentage = (120 / 400) * 100 = 0.3 * 100 = 30%.
34. Table Analysis: A table contains data on 50 employee performance scores ranging from 50 to 100. If the table is sorted by score descending, where will the 90th percentile score be located approximately?
Correct Answer: a) Near row 5
Explanation:
90th percentile means 90% scored below and 10% scored above. In a descending list of 50, top 10% corresponds to top 5 rows.
35. Graphics Interpretation: A tree diagram shows two sequential events. Event 1 has outcomes X (prob 0.4) and Y (prob 0.6). If X occurs, Event 2 has outcome Z (prob 0.5). What is the probability of outcome combination X then Z?
Correct Answer: b) 0.20
Explanation:
P(X and Z) = P(X) * P(Z|X) = 0.4 * 0.5 = 0.20.
36. Two-Part Analysis: Working individually, Worker A completes a job in a hours and Worker B in b hours. If their joint time is 4 hours, and Worker A takes twice as long as Worker B (a = 2b), what is b?
Correct Answer: b) 6
Explanation:
1/a + 1/b = 1/4 => 1/(2b) + 1/b = 1/4 => 3/(2b) = 1/4 => 2b = 12 => b = 6.
37. In Multi-Source Reasoning, Tab A specifies 'Minimum investment period is 3 years for Fund Alpha.' Tab B lists Investor Jane's history as investing in Jan 2019 and liquidating in Jan 2021. Did Jane meet the requirement for Fund Alpha?
Correct Answer: b) No, because she held it for only 2 years.
Explanation:
From Jan 2019 to Jan 2021 is exactly 2 years, which is less than the 3-year minimum requirement.
38. A box plot displays a dataset with Minimum=5, Q1=12, Median=20, Q3=28, Maximum=40. Which interval contains approximately 50% of the dataset?
Correct Answer: b) 12 to 28
Explanation:
The box in a box plot represents the middle 50% of the data, spanning from Q1 (12) to Q3 (28).
39. Table Analysis: A dataset of 8 cities includes population and land area. City A has 1,000,000 people and 500 sq km. What is City A's population density in people per sq km?
Correct Answer: b) 2,000
Explanation:
Population density = Population / Area = 1,000,000 / 500 = 2,000 people per sq km.
40. Two-Part Analysis: An item priced at $P is increased by 20% and then discounted by 20%. What is the final price relative to P?
Correct Answer: b) 0.96 P
Explanation:
Final price = P * 1.20 * 0.80 = 0.96 P.
41. Graphics Interpretation: A scatterplot displays a group of data points with a trendline. If a data point lies significantly above the trendline, what does this indicate?
Correct Answer: a) The actual y-value is higher than predicted by the trendline.
Explanation:
Points above the regression/trend line have a positive residual, meaning their observed y-value exceeds the model's prediction.
42. In Multi-Source Reasoning, a policy document states 'Employees get 15 days off after 1 year, 20 days after 5 years.' Employee Mark joined 3 years ago. How many vacation days is he entitled to?
Correct Answer: b) 15 days
Explanation:
Mark has 3 years of tenure, which is at least 1 year but less than 5 years, entitling him to 15 days.
43. A Venn diagram shows 50 people: 30 like Tea, 25 like Coffee, and 10 like both. How many like NEITHER Tea nor Coffee?
Correct Answer: a) 5
Explanation:
Total liking at least one = 30 + 25 - 10 = 45. Neither = Total - 45 = 50 - 45 = 5.
44. Table Analysis: In a sorted table of exam scores, the values are 40, 50, 50, 60, 70, 80, 90. What is the mode of this dataset?
Correct Answer: a) 50
Explanation:
The mode is the value that appears most frequently. Here, 50 appears twice while all other numbers appear once.
45. Two-Part Analysis: Two variables x and y are inversely proportional. If x = 4 when y = 10, what is y when x = 8?
Correct Answer: a) 5
Explanation:
Inverse proportionality means x * y = k. k = 4 * 10 = 40. When x = 8, 8 * y = 40 => y = 5.
46. Graphics Interpretation: A histogram shows class intervals of width 10 (0-9, 10-19, 20-29, etc.). The 20-29 bar has a frequency of 15. What does this frequency represent?
Correct Answer: b) 15 data points fall within the range 20 to 29.
Explanation:
In a histogram, the height (frequency) of a bin represents the total count of data observations falling within that interval.
47. In Multi-Source Reasoning, Tab 1 states 'Project X requires 3 Engineers and 2 Designers.' Tab 2 states 'Engineer rate is $50/hr, Designer rate is $40/hr.' What is the total hourly labor cost for Project X?
Correct Answer: b) $230
Explanation:
Cost = (3 * $50) + (2 * $40) = $150 + $80 = $230.
48. A chart shows company market share: Co A 40%, Co B 30%, Co C 20%, Co D 10%. If total market size is $50 million, how much larger are Co A's sales than Co C's?
Correct Answer: b) $10 million
Explanation:
Co A sales = 40% of 50M = $20M. Co C sales = 20% of 50M = $10M. Difference = $20M - $10M = $10M.
49. Table Analysis: A dataset lists weighted grade components: Homework (20%, score 90), Midterm (30%, score 80), Final (50%, score 70). What is the final weighted score?
Correct Answer: a) 77
Explanation:
Weighted score = (0.20 * 90) + (0.30 * 80) + (0.50 * 70) = 18 + 24 + 35 = 77.
50. Two-Part Analysis: Select values for A and B such that A + B = 15 and A * B = 56.
Correct Answer: a) A=7, B=8
Explanation:
7 + 8 = 15 and 7 * 8 = 56. Thus A=7 and B=8.
51. Graphics Interpretation: A line plot shows quarterly profit margins. Q1 is 10%, Q2 is 15%, Q3 is 12%, Q4 is 18%. What is the overall percentage point change from Q1 to Q4?
Correct Answer: a) 8 percentage points
Explanation:
Percentage point change = 18% - 10% = 8 percentage points.
52. In Multi-Source Reasoning, document 1 states 'All flight delays over 2 hours qualify for vouchers.' Document 2 shows 'Flight 101 was delayed by 150 minutes.' Does Flight 101 qualify for a voucher?
Correct Answer: a) Yes, because 150 minutes is 2.5 hours, which exceeds 2 hours.
Explanation:
150 minutes / 60 minutes = 2.5 hours. Since 2.5 > 2 hours, it qualifies.
53. Table Analysis: Sorting a dataset of 10 products by profit margin reveals margins from 5% to 25%. If the average profit margin is 15%, what must be true about the sum of all margins?
Correct Answer: a) Sum is 150%
Explanation:
Mean = Sum / Count => 15% = Sum / 10 => Sum = 150%.
54. Graphics Interpretation: A graph depicts radioactive decay. If substance quantity drops from 80g to 20g in 6 hours, what is its half-life?
Correct Answer: b) 3 hours
Explanation:
80g -> 40g (1 half-life) -> 20g (2 half-lives). 2 half-lives = 6 hours, so 1 half-life = 3 hours.
55. Two-Part Analysis: If 4x - 3y = 5 and 2x + y = 15, solve for x and y.
Correct Answer: a) x = 5, y = 5
Explanation:
From 2nd equation, y = 15 - 2x. Substitute in 1st: 4x - 3(15 - 2x) = 5 => 4x - 45 + 6x = 5 => 10x = 50 => x = 5, y = 5.
56. Multi-Source Reasoning: Tab 1 states 'Factory produces 100 units/hr.' Tab 2 states 'Defect rate is 2%.' Tab 3 states 'Operating hours are 8 hours/day.' How many defective units are produced per day?
Correct Answer: a) 16
Explanation:
Total daily production = 100 * 8 = 800 units. Defective units = 2% of 800 = 0.02 * 800 = 16.
57. A bar chart shows production across 3 factories: F1=400, F2=600, F3=500. What fraction of total production comes from F2?
Correct Answer: b) 2/5
Explanation:
Total production = 400 + 600 + 500 = 1500. F2 fraction = 600 / 1500 = 2/5.
58. Table Analysis: A table shows salary data for 5 employees: $40k, $45k, $50k, $55k, $110k. How does the mean compare to the median?
Correct Answer: b) Mean is greater than median
Explanation:
Median = $50k. Mean = (40 + 45 + 50 + 55 + 110)/5 = 300/5 = $60k. $60k > $50k.
59. Two-Part Analysis: A car travels at 40 mph for 2 hours and 60 mph for 3 hours. What is the overall average speed?
Correct Answer: b) 52 mph
Explanation:
Total distance = (40*2) + (60*3) = 80 + 180 = 260 miles. Total time = 2 + 3 = 5 hours. Avg speed = 260 / 5 = 52 mph.
60. Graphics Interpretation: In a scatterplot with positive correlation, if x increases from 10 to 20, what is the expected trend for y?
Correct Answer: a) y increases
Explanation:
Positive correlation means as the independent variable (x) increases, the dependent variable (y) tends to increase.
61. Multi-Source Reasoning: Tab 1: 'Tier 1 tax rate is 10% up to $20,000.' Tab 2: 'Tier 2 tax rate is 20% for amounts over $20,000.' What is total tax on $30,000 income?
Correct Answer: b) $4,000
Explanation:
Tax on first $20,000 = 10% * 20,000 = $2,000. Tax on remaining $10,000 = 20% * 10,000 = $2,000. Total tax = $4,000.
62. Table Analysis: Data for 4 projects: P1 (ROI 12%), P2 (ROI 8%), P3 (ROI 15%), P4 (ROI 10%). What is the range of ROI values?
Correct Answer: a) 7%
Explanation:
Range = Max ROI - Min ROI = 15% - 8% = 7%.
63. Two-Part Analysis: The area of a rectangle is 48 square meters and its perimeter is 28 meters. What are its length and width?
Correct Answer: a) 8 meters and 6 meters
Explanation:
L * W = 48 and 2(L + W) = 28 => L + W = 14. Factors of 48 adding to 14 are 8 and 6.
64. Graphics Interpretation: A pie chart shows company expenses: Rent 40%, Salaries 40%, Utilities 20%. What central angle in degrees represents Utilities?
Correct Answer: b) 72 degrees
Explanation:
Angle = percentage * 360 degrees = 0.20 * 360 = 72 degrees.
65. Multi-Source Reasoning: Doc 1: 'Event A requires 2 days.' Doc 2: 'Event B starts immediately after Event A finishes and takes 3 days.' If Event A starts Monday morning, when does Event B finish?
Correct Answer: c) Friday evening
Explanation:
Event A takes Mon & Tue (finishes Tue evening). Event B takes Wed, Thu, Fri (finishes Fri evening).
66. Table Analysis: Table shows 5 store locations and monthly foot traffic: S1=10k, S2=15k, S3=12k, S4=8k, S5=25k. What is the variance status of S5 relative to the mean (14k)?
Correct Answer: b) 11k above mean
Explanation:
Mean = (10+15+12+8+25)/5 = 70/5 = 14k. S5 (25k) - Mean (14k) = 11k above mean.
67. Two-Part Analysis: Determine values for x and y such that x^2 - y^2 = 21 and x + y = 7.
Correct Answer: a) x = 5, y = 2
Explanation:
x^2 - y^2 = (x - y)(x + y) = 21 => (x - y)(7) = 21 => x - y = 3. Solving x + y = 7 and x - y = 3 gives x = 5, y = 2.
68. Graphics Interpretation: A cumulative frequency graph reaches 100 at score 80. If the total number of students is 100, how many scored 80 or below?
Correct Answer: c) 100
Explanation:
The y-value of a cumulative frequency graph at score x represents the total count of observations less than or equal to x.
69. Multi-Source Reasoning: Email A: 'Budget limit is $5,000.' Email B: 'Vendor quote is $4,500 plus 15% tax.' Is the quote within budget?
Correct Answer: b) No, because total is $5,175.
Explanation:
Total quote = $4,500 * 1.15 = $5,175, which exceeds the $5,000 budget.
70. Table Analysis: A dataset has 4 items with weights 2kg, 4kg, 6kg, 8kg. If an 8kg item is added, what happens to the mean weight?
Correct Answer: c) Increases from 5kg to 5.6kg
Explanation:
Initial mean = (2+4+6+8)/4 = 5kg. New mean = (20 + 8)/5 = 28/5 = 5.6kg.
71. Two-Part Analysis: A investment grows at 10% compound interest annually. What is the principal multiplier after 2 years?
Correct Answer: b) 1.21
Explanation:
Multiplier = (1.10)^2 = 1.21.
72. Graphics Interpretation: In a bar chart depicting unit price vs item quality rating (1 to 5), if ratings 1, 2, 3, 4, 5 have prices $10, $15, $20, $25, $30, what is the slope of price per unit increase in quality rating?
Correct Answer: b) $5/rating unit
Explanation:
Slope = Change in Price / Change in Rating = (15 - 10) / (2 - 1) = $5 per rating unit.
73. Multi-Source Reasoning: Tab 1 specifies 'Pass score is 70%.' Tab 2 lists Test 1 score as 60/100 and Test 2 score as 80/100 (equal weights). Did the student pass overall?
Correct Answer: a) Yes, overall average is 70%.
Explanation:
Average score = (60 + 80) / 2 = 70%, which meets the 70% requirement.
74. Table Analysis: Sort 5 stocks by Dividend Yield: Stock A (2%), Stock B (4%), Stock C (1%), Stock D (5%), Stock E (3%). What is the median dividend yield?
Correct Answer: b) 3%
Explanation:
Sorted yields: 1%, 2%, 3%, 4%, 5%. The median (3rd value) is 3%.
75. Two-Part Analysis: If 2^x = 32 and 3^y = 81, what is x + y?
Correct Answer: b) 9
Explanation:
2^5 = 32 => x = 5. 3^4 = 81 => y = 4. x + y = 5 + 4 = 9.
76. Graphics Interpretation: A pie chart shows sales distribution: Region North 50%, South 25%, East 15%, West 10%. If West sales are $50,000, what are total sales?
Correct Answer: b) $500,000
Explanation:
10% of Total = $50,000 => Total = $50,000 / 0.10 = $500,000.
77. Multi-Source Reasoning: Doc 1: 'Machine A rate = 50 units/hr.' Doc 2: 'Machine B rate = 70 units/hr.' How long does it take both machines together to produce 600 units?
Correct Answer: b) 5 hours
Explanation:
Combined rate = 50 + 70 = 120 units/hr. Time = 600 / 120 = 5 hours.
78. Table Analysis: A dataset has values 10, 20, 30, 40, 50. If each value is multiplied by 2, what happens to the mean and standard deviation?
Correct Answer: a) Both double
Explanation:
Multiplying all values in a dataset by a constant k scales both the mean and the standard deviation by k.
79. Two-Part Analysis: Find two consecutive positive integers whose product is 156.
Correct Answer: b) 12 and 13
Explanation:
12 * 13 = 156. They are consecutive positive integers.
80. Graphics Interpretation: In a boxplot, the line inside the box represents which statistical measure?
Correct Answer: c) Median
Explanation:
Standard boxplots use the internal horizontal line to mark the 50th percentile, or median.
81. Multi-Source Reasoning: Tab 1: 'All employees must complete 4 hours of training annually.' Tab 2: 'John completed 2 hours in Q1 and 1 hour in Q3.' How many additional hours does John need in Q4?
Correct Answer: b) 1 hour
Explanation:
John completed 2 + 1 = 3 hours. Required = 4 hours. Remaining = 4 - 3 = 1 hour.
82. Table Analysis: A table contains 10 elements. The sum of all elements is 200. What is the arithmetic mean?
Correct Answer: b) 20
Explanation:
Mean = Sum / Count = 200 / 10 = 20.
83. Two-Part Analysis: A tank is filled by Pipe A in 3 hours and drained by Pipe B in 6 hours. If both are open, how long to fill the tank?
Correct Answer: b) 6 hours
Explanation:
Net fill rate = 1/3 - 1/6 = 1/6 of tank per hour. Time to fill = 6 hours.
84. Graphics Interpretation: A stacked bar chart shows division revenues. If Division 1 is $4M and total stack height is $10M, what percentage of total revenue is Division 1?
Correct Answer: b) 40%
Explanation:
Percentage = (4 / 10) * 100 = 40%.
85. Multi-Source Reasoning: Doc A: 'Option 1 costs $100 up front plus $10/month.' Doc B: 'Option 2 costs $40/month with no up-front fee.' At how many months are total costs equal?
Correct Answer: b) 3.33 months
Explanation:
100 + 10m = 40m => 30m = 100 => m = 100 / 30 = 3.33 months.
86. Table Analysis: A table lists 6 items with values 5, 5, 5, 5, 5, 5. What is the standard deviation?
Correct Answer: a) 0
Explanation:
When all observations in a dataset are identical, there is no dispersion, so the standard deviation is 0.
87. Two-Part Analysis: If log10(x) = 3 and log10(y) = 2, what is x / y?
Correct Answer: a) 10
Explanation:
x = 10^3 = 1000, y = 10^2 = 100. x / y = 1000 / 100 = 10.
88. Graphics Interpretation: In a scatterplot with no trend (points scattered uniformly in a circle), what is the correlation coefficient r?
Correct Answer: c) 0.0
Explanation:
A completely uniform/random circular distribution of points indicates no linear relationship, yielding r ≈ 0.
89. Multi-Source Reasoning: Tab 1: 'Flight duration 5 hours.' Tab 2: 'Time zone of destination is +3 hours ahead of departure.' If departure is 8:00 AM local time, what is arrival time local time?
Correct Answer: b) 4:00 PM
Explanation:
8:00 AM + 5 hours flight = 1:00 PM departure time. +3 hours time zone shift = 4:00 PM local arrival time.
90. Table Analysis: Sorting 7 employees by age yields 22, 25, 29, 34, 40, 45, 52. What is the range of ages?
Correct Answer: a) 30
Explanation:
Range = Maximum - Minimum = 52 - 22 = 30.
91. Two-Part Analysis: Solve for x and y: 3x + y = 11 and x - y = 1.
Correct Answer: a) x = 3, y = 2
Explanation:
Add equations: 4x = 12 => x = 3. Then 3 - y = 1 => y = 2.
92. Graphics Interpretation: A bar chart depicts monthly sales in thousands: Jan 10, Feb 12, Mar 15. What is the ratio of March sales to January sales?
Correct Answer: b) 3:2
Explanation:
Ratio = 15 / 10 = 3 / 2.
93. Multi-Source Reasoning: Doc A states 'Item weight is 5 lbs.' Doc B states 'Shipping fee is $2 per lb for weight up to 10 lbs.' What is total shipping fee?
Correct Answer: c) $10
Explanation:
Shipping fee = 5 lbs * $2/lb = $10.
94. Table Analysis: Dataset of test scores has mean 75 and median 85. What does this skewness suggest?
Correct Answer: b) Left-skewed (negatively skewed) distribution
Explanation:
When the mean is noticeably less than the median, the distribution is skewed to the left (negative skew) due to lower outliers.
95. Two-Part Analysis: Two numbers have a sum of 20 and a difference of 4. What is the larger number?
Correct Answer: b) 12
Explanation:
x + y = 20, x - y = 4. Add: 2x = 24 => x = 12. Larger number is 12.
96. Graphics Interpretation: In a Venn diagram with Sets A and B, set A has 20 elements, set B has 15 elements, and their intersection has 5 elements. What is the size of the union A U B?
Correct Answer: a) 30
Explanation:
|A U B| = |A| + |B| - |A n B| = 20 + 15 - 5 = 30.
97. Multi-Source Reasoning: Tab 1: 'Widget costs $5 to produce.' Tab 2: 'Widget sells for $12.' Tab 3: 'Fixed overhead is $700.' How many widgets must be sold to break even?
Correct Answer: b) 100
Explanation:
Profit per widget = $12 - $5 = $7. Break-even count = 700 / 7 = 100 widgets.
98. Table Analysis: 5 items have costs $10, $20, $30, $40, $50. If cost of each item increases by $5, what happens to the standard deviation?
Correct Answer: c) Remains unchanged
Explanation:
Adding a constant to all data values shifts the distribution without changing its spread/standard deviation.
99. Two-Part Analysis: If 5p - 2q = 18 and q = 1, what is p?
Correct Answer: b) 4
Explanation:
5p - 2(1) = 18 => 5p - 2 = 18 => 5p = 20 => p = 4.
100. Graphics Interpretation: A double line graph tracks population of City X and City Y. City X curve intersects City Y curve in year 2015. What happened in 2015?
Correct Answer: b) City X and City Y had equal populations.
Explanation:
The intersection point of two quantitative line graphs indicates identical values (equal populations) at that coordinate.
101. Multi-Source Reasoning: Tab A: 'Speed limit 60 mph.' Tab B: 'Car traveled 150 miles in 2.5 hours.' Did the car exceed the speed limit on average?
Correct Answer: b) No, avg speed was exactly 60 mph.
Explanation:
Avg speed = Distance / Time = 150 / 2.5 = 60 mph. It equaled but did not exceed the limit.
102. Table Analysis: A dataset has 5 values: 2, 4, 6, 8, 10. What is the variance of this population?
Correct Answer: b) 8
Explanation:
Mean = 6. Squared differences: (2-6)^2=16, (4-6)^2=4, (6-6)^2=0, (8-6)^2=4, (10-6)^2=16. Sum = 40. Variance = 40 / 5 = 8.
103. Two-Part Analysis: A rectangle has perimeter 30 cm. If length is twice the width, what is the width?
Correct Answer: a) 5 cm
Explanation:
Perimeter = 2(L + W) = 30 => L + W = 15. Since L = 2W: 2W + W = 15 => 3W = 15 => W = 5 cm.
104. Graphics Interpretation: A bar graph shows monthly revenues. If total 12-month revenue is $120,000, what was the average monthly revenue?
Correct Answer: b) $10,000
Explanation:
Average monthly revenue = Total revenue / 12 = 120,000 / 12 = $10,000.
105. Multi-Source Reasoning: Doc 1: 'All members get a 20% discount.' Doc 2: 'Non-members pay standard price $50.' Member Alice buys 2 tickets. How much does she pay total?
Correct Answer: a) $80
Explanation:
Discounted ticket price = 80% of $50 = $40. Total for 2 tickets = 2 * $40 = $80.
106. Table Analysis: Given 5 dataset points (x, y): (1,2), (2,4), (3,6), (4,8), (5,10). What is the exact linear equation fitting these points?
Correct Answer: b) y = 2x
Explanation:
For every point, y is exactly double x (2 = 2*1, 4 = 2*2, etc.), so y = 2x.
107. Two-Part Analysis: Solve for x and y: x + 2y = 10 and 3x - 2y = 6.
Correct Answer: a) x = 4, y = 3
Explanation:
Add equations: (x + 2y) + (3x - 2y) = 10 + 6 => 4x = 16 => x = 4. Then 4 + 2y = 10 => 2y = 6 => y = 3.
108. Graphics Interpretation: A scatterplot displays test scores vs study hours. The trendline passes through (2 hours, 60 marks) and (6 hours, 80 marks). What is the predicted score for 10 hours of study?
Correct Answer: b) 100 marks
Explanation:
Slope = (80 - 60) / (6 - 2) = 20 / 4 = 5 marks per hour. Equation: Score = 60 + 5*(hours - 2). For 10 hours: 60 + 5*(8) = 100.
109. Multi-Source Reasoning: Tab 1: 'Tier A requires $1,000 min deposit.' Tab 2: 'Tier B requires $5,000 min deposit.' Customer has $3,500. Which highest tier do they qualify for?
Correct Answer: a) Tier A
Explanation:
With $3,500, the customer meets Tier A minimum ($1,000) but falls short of Tier B ($5,000).
110. Table Analysis: In a table of 100 scores sorted ascending, score at index 50 is 70, and index 51 is 72. What is the median score?
Correct Answer: b) 71
Explanation:
For 100 items (even count), median is average of 50th and 51st items: (70 + 72) / 2 = 71.
111. Two-Part Analysis: If 3^x = 27 and 2^y = 16, calculate x * y.
Correct Answer: b) 12
Explanation:
3^3 = 27 => x = 3. 2^4 = 16 => y = 4. Product x * y = 3 * 4 = 12.
112. Graphics Interpretation: A pie chart shows 4 departments. Sales takes up a 180-degree sector. What percentage of the company is Sales?
Correct Answer: c) 50%
Explanation:
180 degrees out of a 360-degree full circle represents 180 / 360 = 50%.
113. Multi-Source Reasoning: Doc 1: 'Working speed = 20 pages/hr.' Doc 2: 'Total document length = 100 pages.' How long does it take to complete typing?
Correct Answer: b) 5 hours
Explanation:
Time = Total pages / Speed = 100 / 20 = 5 hours.
114. Table Analysis: Table shows 4 items with prices $10, $15, $25, $50. What is the range of prices?
Correct Answer: b) $40
Explanation:
Range = Max price - Min price = $50 - $10 = $40.
115. Two-Part Analysis: Determine x and y such that x + y = 15 and x - y = 5.
Correct Answer: a) x = 10, y = 5
Explanation:
Add equations: 2x = 20 => x = 10. Then 10 + y = 15 => y = 5.
116. Graphics Interpretation: A horizontal bar chart shows completion times for 4 tasks: T1=10m, T2=15m, T3=5m, T4=20m. What is total time required for all tasks?
Correct Answer: b) 50 minutes
Explanation:
Total time = 10 + 15 + 5 + 20 = 50 minutes.
117. Multi-Source Reasoning: Tab 1: 'Red balls = 4.' Tab 2: 'Blue balls = 6.' What is the probability of drawing a red ball at random?
Correct Answer: a) 0.40
Explanation:
Total balls = 4 + 6 = 10. Probability of red = 4 / 10 = 0.40.
118. Table Analysis: Given 3 numbers: 10, 20, 30. What is the variance of this sample?
Correct Answer: b) 100
Explanation:
Mean = 20. Sample variance s^2 = [(10-20)^2 + (20-20)^2 + (30-20)^2] / (3 - 1) = (100 + 0 + 100) / 2 = 100.
119. Two-Part Analysis: If a right triangle has legs of length 6 cm and 8 cm, what is the length of the hypotenuse?
Correct Answer: b) 10 cm
Explanation:
Hypotenuse = sqrt(6^2 + 8^2) = sqrt(36 + 64) = sqrt(100) = 10 cm.
120. Graphics Interpretation: In a line chart representing temperature over a day, if temperature at 6 AM is 50 F and at 12 PM is 80 F, what is the average rate of increase per hour?
Correct Answer: b) 5 F/hr
Explanation:
Time difference = 12 - 6 = 6 hours. Temp difference = 80 - 50 = 30 F. Rate = 30 / 6 = 5 F/hr.
121. Multi-Source Reasoning: Tab 1: 'Standard work day is 8 hours.' Tab 2: 'Overtime rate is 1.5x basic pay ($20/hr).' If an employee works 10 hours in a day, what is their total earnings for that day?
Correct Answer: b) $220
Explanation:
Basic pay (8 hrs) = 8 * 20 = $160. Overtime pay (2 hrs) = 2 * (1.5 * 20) = 2 * 30 = $60. Total = 160 + 60 = $220.
122. Table Analysis: Table shows student marks: 50, 60, 70, 80, 90. What is the mean mark?
Correct Answer: b) 70
Explanation:
Mean = (50 + 60 + 70 + 80 + 90) / 5 = 350 / 5 = 70.
123. Two-Part Analysis: Find x and y such that x / y = 3 and x + y = 16.
Correct Answer: a) x = 12, y = 4
Explanation:
x = 3y. Substitute in second equation: 3y + y = 16 => 4y = 16 => y = 4. Then x = 12.
