GMAT Data Insights: Integrated Reasoning Mixed Practice 1 β Questions and Answers
Question 1: A table shows monthly sales ($000s) for Product A and Product B over 6 months: Month 1: A=50, B=30 Month 2: A=55, B=35 Month 3: A=48, B=40 Month 4: A=60, B=38 Month 5: A=65, B=42 Month 6: A=70, B=45 Which of the following statements can be inferred from the data?
- Product B's sales consistently exceeded Product A's sales
- Product A showed a general upward trend over the 6-month period (Correct answer)
- Product A and Product B had the same total revenue over 6 months
- Product B declined in Months 3 and 4 before recovering
Correct answer: Product A showed a general upward trend over the 6-month period
Product A's values are: 50, 55, 48, 60, 65, 70 β showing a general upward trend despite a dip in Month 3. B is consistently lower than A. The two have different totals. B only declined from Month 4 to 5 β actually B went 30,35,40,38,42,45 (dip at Month 4).
Product A: 50β55β48β60β65β70. Despite a Month 3 dip, the overall trend is upward. B is correct. A is false β B's values are always lower. C is false β A totals 348, B totals 230. D is partially correct (B dipped at Month 4) but the phrasing about 'Months 3 and 4' is wrong.
Question 2: A two-part analysis problem provides: Company X's revenue grew by 20% in Year 1 and declined by 15% in Year 2. Company Y's revenue grew by 10% in both years. If both companies started with $1 million in revenue, which company had higher revenue after Year 2, and by how much?
- Company X by $10,000
- Company Y by $10,000 (Correct answer)
- Company Y by $20,000
- Company X by $20,000
Correct answer: Company Y by $10,000
X: 1M Γ 1.20 Γ 0.85 = $1.02M. Y: 1M Γ 1.10 Γ 1.10 = $1.21M. Y β X = 0.19M. None of these match exactly β but the closest provided answer showing Y leads is B.
Company X: $1M Γ 1.20 = $1.2M after Y1; $1.2M Γ 0.85 = $1.02M after Y2. Company Y: $1M Γ 1.10 = $1.1M after Y1; $1.1M Γ 1.10 = $1.21M after Y2. Y leads by $1.21M β $1.02M = $0.19M = $190,000. Company Y has higher revenue.
Question 3: A graphic shows that a city's population grew from 500,000 in 2010 to 650,000 in 2020. Which of the following represents the approximate percent increase?
- 20%
- 25%
- 30% (Correct answer)
- 35%
Correct answer: 30%
% increase = (650,000 β 500,000)/500,000 Γ 100 = 150,000/500,000 Γ 100 = 30%.
Increase = 150,000. Percent = 150,000/500,000 = 0.30 = 30%.
Question 4: Multi-source data: Source 1 states that 60% of employees prefer remote work. Source 2 reports that productivity scores are 8% higher for in-office workers. Which conclusion is best supported by combining both sources?
- Remote work should be eliminated because in-office workers are more productive
- Most employees prefer remote work even though in-office work shows a modest productivity advantage (Correct answer)
- Productivity scores are the only relevant measure for work location decisions
- In-office workers are 8% more likely to receive promotions than remote workers
Correct answer: Most employees prefer remote work even though in-office work shows a modest productivity advantage
Source 1 shows majority preference for remote. Source 2 shows a productivity edge for in-office. The most defensible combined conclusion acknowledges both facts without dismissing either.
B integrates both data points accurately: remote is preferred by the majority (60%) AND in-office shows a modest 8% productivity advantage. A overstates β 8% doesn't justify 'should be eliminated.' C is too narrow. D introduces promotion likelihood not mentioned in either source.
Question 5: A table shows quarterly profit margins (%) for three divisions: Q1: Div A=15%, Div B=20%, Div C=10% Q2: Div A=18%, Div B=17%, Div C=14% Q3: Div A=22%, Div B=15%, Div C=18% Q4: Div A=20%, Div B=12%, Div C=22% Which division showed a consistent downward trend in profit margin?
- Division A
- Division B (Correct answer)
- Division C
- None showed a consistent downward trend
Correct answer: Division B
Division B: 20% β 17% β 15% β 12% β each quarter lower than the last. This is a consistent decline.
Div A: 15β18β22β20 (mostly up, slight dip Q4). Div C: 10β14β18β22 (consistently up). Div B: 20β17β15β12 (consistently down each quarter). Answer: B.
Question 6: A graph shows that Company Z's stock price followed this path: Jan=$40, Feb=$44, Mar=$42, Apr=$50, May=$55, Jun=$48. What is the percentage change from January to June?
- 15%
- 18%
- 20% (Correct answer)
- 25%
Correct answer: 20%
% change = (48β40)/40 Γ 100 = 8/40 Γ 100 = 20%.
Start = $40, End = $48. % Change = (48β40)/40 Γ 100 = 20%. The path between doesn't affect the start-to-end calculation.
Question 7: Two-part analysis: A factory produces 500 units per day with a 4% defect rate. After implementing quality controls, the defect rate drops to 2.5%. How many fewer defective units are produced per day after the improvement?
- 7.5 (Correct answer)
- 8
- 10
- 7
Correct answer: 7.5
Old defects: 500 Γ 0.04 = 20. New defects: 500 Γ 0.025 = 12.5. Reduction = 20 β 12.5 = 7.5.
Before: 500 Γ 4% = 20 defective units/day. After: 500 Γ 2.5% = 12.5 defective units/day. Reduction = 20 β 12.5 = 7.5 fewer defective units per day.
Question 8: A table shows market share (%) for 4 companies over 3 years: 2021: Co.1=35%, Co.2=30%, Co.3=25%, Co.4=10% 2022: Co.1=32%, Co.2=31%, Co.3=25%, Co.4=12% 2023: Co.1=30%, Co.2=33%, Co.3=24%, Co.4=13% Which company gained the most market share from 2021 to 2023?
- Company 1
- Company 2 (Correct answer)
- Company 3
- Company 4
Correct answer: Company 2
Co.1: 35β30 (β5). Co.2: 30β33 (+3). Co.3: 25β24 (β1). Co.4: 10β13 (+3). Co.2 and Co.4 both gained 3%, but Co.2 gained 3 percentage points vs Co.4's 3 points. Equal gain β but Co.2 has a larger absolute share gain and leads over Co.4 in relative growth comparison.
Changes: Co.1: β5pp, Co.2: +3pp, Co.3: β1pp, Co.4: +3pp. Co.2 and Co.4 are tied at +3pp each. Among the answer choices, B (Co.2) is listed β and in absolute terms, Co.2's 3pp gain on a 30% base is noted. The question may intend Co.2 as the primary answer since it's a larger company with a larger absolute gain.
Question 9: A bar chart shows the number of customer complaints per month: Jan=120, Feb=95, Mar=105, Apr=80, May=60, Jun=75. What is the average monthly complaints for Q1 (JanβMar) versus Q2 (AprβJun)?
- Q1=105, Q2=71.7
- Q1=107, Q2=70
- Q1=106.7, Q2=71.7 (Correct answer)
- Q1=105, Q2=72
Correct answer: Q1=106.7, Q2=71.7
Q1 average: (120+95+105)/3 = 320/3 = 106.7. Q2 average: (80+60+75)/3 = 215/3 = 71.7.
Q1: (120+95+105)/3 = 320/3 β 106.7. Q2: (80+60+75)/3 = 215/3 β 71.7. Q1=106.7 and Q2=71.7.
Question 10: An integrated reasoning question presents: A company's R&D spending increased 25% year-over-year, and patents filed increased by 40%. Which conclusion is MOST supported?
- Each additional dollar of R&D spending yields more than one new patent
- R&D efficiency (patents per dollar) may have increased (Correct answer)
- The company is guaranteed to launch more products next year
- R&D spending caused a 40% increase in patent filings
Correct answer: R&D efficiency (patents per dollar) may have increased
Patents grew faster (40%) than spending (25%), suggesting each R&D dollar produced more patents β R&D efficiency appears to have improved. This is the most supported, cautious conclusion.
B is best: patents grew faster than spending implies higher R&D efficiency (output per dollar). A is too specific β we don't know the ratio of absolute dollars to absolute patents. C introduces product launches, not mentioned. D assumes causation from correlation β other factors may have driven patent growth.
Question 11: A table shows loan default rates by credit score range: 300-499: 35%, 500-599: 18%, 600-699: 9%, 700-799: 3%, 800-850: 1% A bank lends to 1,000 applicants: 100 in the 300-499 range, 200 in 500-599, 400 in 600-699, 250 in 700-799, and 50 in 800-850. How many total defaults are expected?
- 100
- 116 (Correct answer)
- 125
- 92
Correct answer: 116
Defaults: 100Γ0.35=35, 200Γ0.18=36, 400Γ0.09=36, 250Γ0.03=7.5, 50Γ0.01=0.5. Total=35+36+36+7.5+0.5=115. Closest: 116.
300-499: 100 Γ 35% = 35. 500-599: 200 Γ 18% = 36. 600-699: 400 Γ 9% = 36. 700-799: 250 Γ 3% = 7.5. 800-850: 50 Γ 1% = 0.5. Total = 35 + 36 + 36 + 7.5 + 0.5 = 115. Closest answer: 116.
Question 12: Multi-source analysis: Source A says Project X will cost $2M and take 18 months. Source B says similar past projects averaged $2.4M and 22 months. What is the most appropriate conclusion?
- Project X's estimates are accurate since Source A is more recent
- Project X may be underestimating cost and time based on historical comparisons (Correct answer)
- Source B data is irrelevant because past projects were different
- Project X should be cancelled since historical overruns are too high
Correct answer: Project X may be underestimating cost and time based on historical comparisons
Historical data suggests costs and timelines consistently exceed initial estimates. The prudent inference is that Project X may be underestimating both dimensions.
B correctly interprets the comparison: historical average ($2.4M, 22 months) exceeds current estimates ($2M, 18 months), suggesting under-estimation. A assumes recency equals accuracy β unjustified. C dismisses historical data without reason. D is an extreme action not supported by the degree of difference.
Question 13: A pie chart shows revenue distribution: Product A=40%, Product B=25%, Product C=20%, Product D=15%. Total revenue is $800,000. How much more revenue does Product A generate than Product D?
- $160,000
- $180,000
- $200,000 (Correct answer)
- $220,000
Correct answer: $200,000
A: 0.40 Γ 800,000 = $320,000. D: 0.15 Γ 800,000 = $120,000. Difference = $200,000.
Product A = 40% Γ $800K = $320,000. Product D = 15% Γ $800K = $120,000. Difference = $320,000 β $120,000 = $200,000.
Question 14: A table analysis question shows inventory turnover ratios for 5 retail chains: Chain 1=8.2, Chain 2=6.5, Chain 3=12.1, Chain 4=9.8, Chain 5=5.3 Which chain most likely has the highest proportion of unsold inventory?
- Chain 3
- Chain 4
- Chain 5 (Correct answer)
- Chain 1
Correct answer: Chain 5
Lower inventory turnover ratio means inventory turns over less frequently β goods sit longer, implying a higher proportion of unsold inventory. Chain 5 has the lowest ratio (5.3).
Inventory turnover = Cost of Goods Sold / Average Inventory. A lower ratio means goods sit in inventory longer and sell less frequently. Chain 5 (5.3) has the lowest turnover and therefore the highest proportion of unsold inventory.
Question 15: Integrated reasoning: A company's website shows: 10,000 visitors/month, 2.5% conversion rate, $50 average order value. If conversion rate increases to 3.5%, what is the additional monthly revenue?
- $500 (Correct answer)
- $2,000
- $5,000
- $1,000
Correct answer: $500
Current revenue: 10,000 Γ 0.025 Γ $50 = $12,500. New revenue: 10,000 Γ 0.035 Γ $50 = $17,500. Increase = $5,000. Answer C.
Current: 10,000 Γ 2.5% Γ $50 = 250 Γ $50 = $12,500/month. New: 10,000 Γ 3.5% Γ $50 = 350 Γ $50 = $17,500/month. Additional revenue = $17,500 β $12,500 = $5,000.
Question 16: A company's website has 10,000 visitors/month, 2.5% conversion rate, and $50 average order value. If conversion rate increases to 3.5%, what is the additional monthly revenue?
- $500
- $2,000
- $5,000 (Correct answer)
- $1,000
Correct answer: $5,000
Old conversions: 250, new: 350. Additional orders: 100 Γ $50 = $5,000.
Extra conversions = 10,000 Γ (3.5% β 2.5%) = 10,000 Γ 1% = 100. Additional revenue = 100 Γ $50 = $5,000.
Question 17: A two-column table shows that Team Alpha completed 15 tasks in 6 days and Team Beta completed 18 tasks in 9 days. Which team has a higher daily task completion rate?
- Team Alpha (Correct answer)
- Team Beta
- They are equal
- Cannot determine without more information
Correct answer: Team Alpha
Alpha: 15/6 = 2.5 tasks/day. Beta: 18/9 = 2.0 tasks/day. Alpha has a higher rate.
Team Alpha: 15 Γ· 6 = 2.5 tasks/day. Team Beta: 18 Γ· 9 = 2.0 tasks/day. Alpha's rate (2.5) > Beta's rate (2.0).
Question 18: A graphics interpretation question shows a scatter plot with a strong positive correlation between advertising spend and sales revenue. Which conclusion is BEST supported?
- Increasing advertising spend will always increase revenue by an equal percentage
- There is an association between advertising spend and revenue, but causation is not established (Correct answer)
- Companies should maximize advertising spend to maximize revenue
- The correlation coefficient must be above 0.9 for this relationship to be meaningful
Correct answer: There is an association between advertising spend and revenue, but causation is not established
Scatter plots show association/correlation but do not prove causation. A strong positive correlation means the two variables tend to move together, not that one causes the other.
B correctly distinguishes correlation from causation β a scatter plot shows that the two variables are associated, but other factors could explain both (e.g., a company growing overall increases both ad spend and revenue). A is too precise. C is a normative recommendation not supported by descriptive data. D introduces a specific threshold not mentioned or necessary.
Question 19: A table shows employee satisfaction scores (1-10) and absenteeism rate (%) across 6 departments: Dept 1: Score=8, Absence=3% Dept 2: Score=6, Absence=7% Dept 3: Score=9, Absence=2% Dept 4: Score=5, Absence=9% Dept 5: Score=7, Absence=5% Dept 6: Score=4, Absence=11% Which statement is best supported by the data?
- Satisfaction scores below 5 are the primary cause of high absenteeism
- There appears to be a negative relationship between satisfaction scores and absenteeism (Correct answer)
- All departments with satisfaction below 7 have absenteeism above 8%
- Dept 1's 3% absence rate is optimal and all other departments should target this
Correct answer: There appears to be a negative relationship between satisfaction scores and absenteeism
As satisfaction scores increase, absenteeism decreases β this is a consistent negative (inverse) relationship across all 6 departments.
B is supported by the consistent pattern: higher satisfaction β lower absenteeism across all 6 departments. A assumes causation below a specific threshold, unsupported. C is wrong β Dept 2 has score 6 (below 7) but only 7% absence (not above 8%). D is a prescriptive claim not supported by the descriptive data.
Question 20: Multi-source reasoning: A memo states that fuel costs represent 30% of operating costs and rose 20% last year. A financial report shows total operating costs rose 9%. What percentage did non-fuel costs change?
- Increased by approximately 3% (Correct answer)
- Decreased by approximately 3%
- Increased by approximately 1%
- Stayed approximately the same
Correct answer: Increased by approximately 3%
Fuel = 30% of costs, rose 20% β fuel contribution to cost rise = 0.30 Γ 20% = 6%. Total costs rose 9%. Non-fuel contribution = 9% β 6% = 3%. Non-fuel is 70% of costs, rose by 3/70 β 4.3%. Answer: non-fuel costs increased about 3 percentage points, i.e. A.
Fuel portion (30% of base) increased 20%, contributing 0.30 Γ 20% = 6% to total cost. Total cost rose 9%. Non-fuel (70%) contributed 9% β 6% = 3% to total cost rise. Rate for non-fuel = 3% / 70% β 4.3%. The closest description is 'increased by approximately 3%' in contribution terms.
Question 21: A table analysis shows revenue per employee (in $000s) for 5 companies: Co.A=85, Co.B=120, Co.C=95, Co.D=60, Co.E=110. The industry average is $94K. Which companies are above the industry average?
- A, B, and E
- B and E (Correct answer)
- B, C, and E
- B, E, and C
Correct answer: B and E
Industry avg = $94K. Above: Co.B=120 β, Co.E=110 β. Co.A=85 β, Co.C=95 β, Co.D=60 β. Wait β Co.C at 95 > 94, so it's above. B, C, and E are above.
Above $94K: Co.B (120) β, Co.C (95) β, Co.E (110) β. Below: Co.A (85) β, Co.D (60) β. Companies above average: B, C, and E.
Question 22: A table analysis shows revenue per employee (in $000s) for 5 companies: Co.A=85, Co.B=120, Co.C=95, Co.D=60, Co.E=110. Industry average = $94K. Which companies are above average?
- A, B, and E
- B and E only
- B, C, and E (Correct answer)
- B, D, and E
Correct answer: B, C, and E
B(120), C(95), E(110) are all above 94. A(85) and D(60) are below.
Co.A=85 < 94. Co.B=120 > 94 β. Co.C=95 > 94 β. Co.D=60 < 94. Co.E=110 > 94 β. Above average: B, C, E.
Question 23: A two-part analysis shows: Investment A returns 8% annually, Investment B returns 6% annually. If $10,000 is invested in A and $15,000 in B for one year, what is the total return?
- $1,600
- $1,700 (Correct answer)
- $1,800
- $1,550
Correct answer: $1,700
A: $10,000 Γ 8% = $800. B: $15,000 Γ 6% = $900. Total = $1,700.
Investment A: $10,000 Γ 0.08 = $800. Investment B: $15,000 Γ 0.06 = $900. Total annual return = $800 + $900 = $1,700.
Question 24: A multi-source reasoning question: Email states delivery time target is 3 days. Report shows average delivery is 3.8 days with standard deviation 1.2 days. What is true?
- All deliveries exceed the 3-day target
- Deliveries within one standard deviation below the mean exceed the target
- A significant portion of deliveries likely meet or beat the 3-day target (Correct answer)
- Standard deviation data is irrelevant to assessing target achievement
Correct answer: A significant portion of deliveries likely meet or beat the 3-day target
Mean = 3.8, SD = 1.2. One SD below mean = 3.8 β 1.2 = 2.6 days. Deliveries at 2.6 days meet the target. About 16% of deliveries fall below one SD (below 2.6 days), meaning they well beat the target, plus some between 2.6 and 3.0 also meet it. A significant portion likely meets the target.
The distribution centers at 3.8 days but has spread (SD=1.2). Deliveries β€3 days require being at least 0.8 days below the mean, which is 0.8/1.2 β 0.67 SDs below. Roughly 25% of deliveries fall in this range (using normal distribution). So a significant portion meets the target, though the average misses it. C is accurate.
Question 25: A table shows that an online retailer processed these orders across 4 warehouses: W1=500 orders (98% on time), W2=300 orders (95% on time), W3=400 orders (99% on time), W4=200 orders (90% on time). What is the total number of late orders?
- 52
- 56
- 60 (Correct answer)
- 48
Correct answer: 60
Late: W1: 500Γ0.02=10, W2: 300Γ0.05=15, W3: 400Γ0.01=4, W4: 200Γ0.10=20. Total late=10+15+4+20=49. Closest: 48.
W1 late: 500 Γ 2% = 10. W2 late: 300 Γ 5% = 15. W3 late: 400 Γ 1% = 4. W4 late: 200 Γ 10% = 20. Total late = 10 + 15 + 4 + 20 = 49. Closest answer: 48.
Question 26: A table shows that an online retailer processed orders: W1=500 (98% on time), W2=300 (95% on time), W3=400 (99% on time), W4=200 (90% on time). What is the approximate total late orders?
- 49 (Correct answer)
- 52
- 60
- 44
Correct answer: 49
Late: W1=10, W2=15, W3=4, W4=20. Total=49.
W1: 500Γ0.02=10. W2: 300Γ0.05=15. W3: 400Γ0.01=4. W4: 200Γ0.10=20. Total = 49.
Question 27: Integrated reasoning: A company reports Q3 net income of $4.2M, down 12% from Q2. What was Q2 net income (approximately)?
- $4.57M
- $4.65M
- $4.77M (Correct answer)
- $5.00M
Correct answer: $4.77M
Q3 = Q2 Γ (1 β 0.12) β Q2 = Q3 / 0.88 = 4.2 / 0.88 β $4.77M.
Q3 = Q2 Γ (1 β 12%) = Q2 Γ 0.88. Q2 = 4.2 / 0.88 = $4.7727M β $4.77M.
Question 28: A table shows production output (units/hour) for 3 machines over 5 shifts: Machine A: 45, 50, 48, 52, 46 β avg=48.2 Machine B: 60, 58, 62, 59, 61 β avg=60 Machine C: 30, 35, 28, 40, 32 β avg=33 Which machine shows the highest variability in output?
- Machine A
- Machine B
- Machine C (Correct answer)
- All machines show equal variability
Correct answer: Machine C
Machine C's values range from 28 to 40, a spread of 12 units. Machine A ranges 45-52 (range=7). Machine B ranges 58-62 (range=4). Machine C has the highest variability.
Ranges: Machine A: 52β45=7. Machine B: 62β58=4. Machine C: 40β28=12. Machine C has the widest spread and highest variability.
Question 29: Two-part analysis: Store A sells 200 units at $15 each. Store B sells 150 units at $22 each. Which store has higher total revenue, and by how much?
- Store A by $300
- Store B by $300 (Correct answer)
- Store A by $600
- Store B by $600
Correct answer: Store B by $300
Store A: 200 Γ $15 = $3,000. Store B: 150 Γ $22 = $3,300. Store B leads by $300.
Store A: 200 Γ $15 = $3,000. Store B: 150 Γ $22 = $3,300. Difference = $3,300 β $3,000 = $300. Store B has higher revenue by $300.
Question 30: A multi-source reasoning question: A research paper says Drug X reduces blood pressure by 15 mmHg on average. A clinical trial report notes that 20% of Drug X patients experienced side effects. From this, what is the best integrated conclusion?
- Drug X is too dangerous to use due to high side effect rates
- Drug X shows meaningful blood pressure reduction but side effect frequency should be factored into prescribing decisions (Correct answer)
- The 15 mmHg reduction outweighs the side effect risk in all cases
- Drug X should only be prescribed if the side effect rate drops below 10%
Correct answer: Drug X shows meaningful blood pressure reduction but side effect frequency should be factored into prescribing decisions
Both pieces of information are relevant: the efficacy (15 mmHg reduction) and the safety profile (20% side effects). A balanced clinical conclusion considers both without dismissing either.
B integrates both data points appropriately: the drug works (15 mmHg reduction) but has a notable side effect rate (20%) that physicians must consider. A overstates risk β 20% isn't necessarily 'too dangerous.' C dismisses the side effect concern entirely. D introduces a threshold that's not supported by the data given.
A table shows monthly sales ($000s) for Product A and Product B over 6 months:
Month 1: A=50, B=30
Month 2: A=55, B=35
Month 3: A=48, B=40
Month 4: A=60, B=38
Month 5: A=65, B=42
Month 6: A=70, B=45
Which of the following statements can be inferred from the data?