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GMAT Data Insights Practice Questions with Answers & Explanations

These practice questions are designed to help you develop the critical reasoning and analytical skills assessed in the GMAT Data Insights section. They are carefully crafted to reflect the style, structure, and level of reasoning assessed tested on the exam. They provide targeted practice to strengthen your performance. These questions are written for practice and learning purposes only and are not taken from any official GMAT source.

It covers all five Data Insights question types – Data Sufficiency, Multi-Source Reasoning, Table Analysis, Graphics Interpretation, and Two-Part Analysis – giving you balanced practice across the full range of concepts and formats you can expect to encounter on test day.

For the best results, attempt each question before reviewing the answer and explanation. Detailed solutions and practical tips are included to help you understand the underlying logic, strengthen your problem-solving approach, and improve both accuracy and speed.

Coverage Map

Question Type Questions Primary skills covered
Data Sufficiency 1-8 Sufficiency logic, percents, weighted averages, number properties, inequalities, rates, probability
Table Analysis 9-16 Percent change, ratios, conversions, weighted average, median, conditions, inclusion-exclusion
Graphics Interpretation 17-24 Chart reading, index values, slopes, histograms, percent comparisons, growth
Two-Part Analysis 25-32 Linear equations, mixtures, rates, percent chains, sets, exponents, coordinate algebra, combinations
Multi-Source Reasoning 33-40 Combining tabs/sources, pricing rules, weighted averages, algebraic thresholds

Practice Questions with Detailed Solutions

Question 1 - Profit Margin from Revenue and Cost

A company sells one product. Is its profit margin greater than 20%? Profit margin = profit/revenue.

(1) Revenue is 25% greater than cost.

(2) Profit is Rs. 40 per unit and revenue is Rs. 180 per unit.

Determine whether the data are sufficient to answer the question.

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.

Answer: D

Explanation:

Statement (1): If revenue is 25% greater than cost, then revenue = 1.25C and profit = 0.25C. Profit margin = 0.25C/1.25C = 20%. This answers the question: no, it is not greater than 20%. Sufficient.

Statement (2): Profit margin = 40/180 = 2/9, which is about 22.2%. This answers the question: yes, it is greater than 20%. Sufficient.

Because each statement independently gives a definite yes/no answer, the correct choice is D.

Tip: In Data Sufficiency, a definite “no” is just as sufficient as a definite “yes.” Do not reject a statement merely because the answer is negative.

Question 2 - Weighted Average Salary

The average salary of all employees in a department is Rs. 72,000. Is the average salary of managers greater than Rs. 90,000?

(1) Managers make up 20% of the department, and non-managers average Rs. 67,000.

(2) There are 8 managers and 32 non-managers.

Determine whether the data are sufficient to answer the question.

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.

Answer: A

Explanation:

Statement (1): Let manager average be M. Overall average = 0.20M + 0.80(67,000) = 72,000. So 0.20M = 18,400 and M = 92,000. The answer is yes. Sufficient.

Statement (2): Knowing the counts only tells us managers are 20% of the group, but gives no non-manager average. Manager average could be below or above Rs. 90,000. Not sufficient.

Therefore, statement (1) alone is sufficient.

Tip: For weighted average questions, write the overall average as weighted parts. Counts can become weights, but you still need at least one group average or enough total information.

Question 3 - Integer Remainder

If n is a positive integer, what is the remainder when n is divided by 6?

(1) n leaves a remainder of 1 when divided by 3.

(2) n is odd.

Determine whether the data are sufficient to answer the question.

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.

Answer: C

Explanation:

Statement (1): n could be 1, 4, 7, 10, ... The remainder when divided by 6 could be 1 or 4. Not sufficient.

Statement (2): If n is odd, the remainder when divided by 6 could be 1, 3, or 5. Not sufficient.

Together: n is 1 more than a multiple of 3 and is odd. Values with remainder 1 mod 3 are 1, 4, 7, 10, 13, ... The odd ones are 1, 7, 13, ... each leaves remainder 1 when divided by 6. Sufficient. Correct choice: C.

Tip: When combining modular conditions, test several values but also check the full pattern. Odd plus “1 more than a multiple of 3” forces remainder 1 mod 6.

Question 4 - Linear Equation from Price Change

A store increases the price of an item by x% and then discounts the new price by 10%. Is the final price greater than the original price?

(1) x > 10

(2) x < 12

Determine whether the data are sufficient to answer the question.

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.

Answer: E

Explanation:

Let original price be 100. After increase and discount, final price = 100(1 + x/100)(0.90). We need this greater than 100, so 0.90(1 + x/100) > 1. This gives 1 + x/100 > 10/9, so x > 11.111... .

Statement (1): x > 10 is not enough; x = 11 gives a final price below original, while x = 12 gives a final price above original. Not sufficient.

Statement (2): x < 12 is not enough; x = 11 gives no, while x = 11.5 gives yes. Not sufficient.

Together: 10 < x < 12 still includes values below and above 11.111..., so the combined information is not sufficient. Correct answer is E.

Tip: For percent-change chains, convert to multipliers. Watch for thresholds that lie inside a range.

Question 5 - Median of a Set

Set S contains five distinct positive integers. Is the median of S greater than 12?

(1) The range of S is 18 and the largest element is 28.

(2) Exactly two elements of S are less than 12.

Determine whether the data are sufficient to answer the question.

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.

Answer: E

Explanation:

Statement (1): Largest = 28 and range = 18, so smallest = 10. The middle value could be 11, 12, 13, or more depending on the other elements. Not sufficient.

Statement (2): In a five-number set, the median is the third value when ordered. If exactly two elements are less than 12 and the integers are distinct, the third value could be 12 or greater than 12. Because both cases are possible, statement (2) is not sufficient.

Together: smallest info still allows {10,11,12,20,28} median 12 and {10,11,13,20,28} median 13. Not sufficient. Correct answer: E.

Tip: For median questions, convert the statement into order positions. Be careful with “greater than” versus “greater than or equal to.”

Question 6 - Work Rate

Machines A and B are used for identical jobs. Is machine A faster than machine B?

(1) A alone completes the job in 10 hours.

(2) B alone completes the job in 15 hours.

Determine whether the data are sufficient to answer the question.

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.

Answer: C

Explanation:

Statement (1): A alone takes 10 hours, but without B’s time, B could be faster or slower. Not sufficient.

Statement (2): B alone takes 15 hours, but without A’s time, A could be faster or slower. Not sufficient.

Together: A takes 10 hours and B takes 15 hours for the same job. A uses less time, so A has the larger work rate. The answer is yes. Correct choice: C.

Tip: Use rate = work/time. Faster means a larger rate or a shorter solo time for the same job.

Question 7 - Probability of Selection

A box contains red, blue, and green tokens. If one token is selected at random, is the probability of selecting a red token greater than 1/3?

(1) There are 12 red tokens.

(2) There are 30 tokens in the box.

Determine whether the data are sufficient to answer the question.

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.

Answer: C

Explanation:

Statement (1): Red tokens = 12, but total tokens is unknown. Probability could be greater than, equal to, or less than 1/3. Not sufficient.

Statement (2): Total tokens = 30, but the number of red tokens is unknown. Not sufficient.

Together: Probability(red) = 12/30 = 0.4, which is greater than 1/3. Sufficient. Correct choice: C.

Tip: Probability questions often reduce to favorable outcomes divided by total outcomes. Data Sufficiency usually tests whether both parts of the fraction are known.

Question 8 - Inequality with Variables

Is xy > 0?

(1) x + y > 0

(2) x and y have the same sign.

Determine whether the data are sufficient to answer the question.

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.

Answer: B

Explanation:

Statement (1): x + y > 0 does not determine the sign of xy. For example, x = 2, y = 1 gives xy > 0, but x = 3, y = -1 gives xy < 0. Not sufficient.

Statement (2): If x and y have the same sign, then both positive or both negative. In either case, xy > 0. Sufficient.

Therefore, statement (2) alone is sufficient.

Tip: For sign questions, make a small sign table. Products depend on signs, not on exact values. Table Analysis Questions

Table Analysis Questions

Question 9 - Monthly Sales Table

The table shows sales by product for one quarter.

Product Jan Feb Mar
Alpha 100 110 120
Beta 150 140 165
Gamma 80 95 100
Delta 90 90 105
Epsilon 200 210 220

Which product had the greatest percent increase from January to March?

A. Alpha
B. Beta
C. Gamma
D. Delta
E. Epsilon

Answer: C

Explanation:

Percent increase = (March - January)/January.

Alpha: (120-100)/100 = 20%. Beta: (165-150)/150 = 10%. Gamma: (100-80)/80 = 25%. Delta: (105-90)/90 = 16.7%. Epsilon: (220-200)/200 = 10%.

The largest increase is Gamma’s 25%.

Tip: Do not compare absolute increases when the question asks for percent increase. Always divide by the starting value.

Question 10 - Employee Productivity

A manager compares output and labor hours across teams.

Team Units Labor Hours
A 840 120
B 960 120
C 770 110
D 900 150
E 720 90

Which team produced the highest number of units per labor hour?

A. Team A only
B. Team B only
C. Team E only
D. Teams B and E
E. Teams A and C

Answer: D

Explanation:

Compute units per labor hour for each team.

A: 840/120 = 7.0. B: 960/120 = 8.0. C: 770/110 = 7.0. D: 900/150 = 6.0. E: 720/90 = 8.0.

The highest rate is 8 units per hour, achieved by both B and E.

Tip: When a table gives totals and resources, create the rate requested by the question before comparing.

Question 11 - Exchange Rate Comparison

A traveler converts currencies at the rates below. Fees are charged after conversion.

Broker USD to EUR Fee
X 0.9 2%
Y 0.88 0%
Z 0.91 3%

If the traveler converts $800 to euros through Broker Y, how many euros will the traveler receive after the fee?

A. 696
B. 704
C. 712
D. 720
E. 728

Answer: B

Explanation:

Broker Y rate: 1 dollar = 0.88 euro. Before fee: 800 x 0.88 = 704 euros.

The fee is listed as 0%, so the traveler receives 704 euros.

The correct answer is 704.

Tip: Read the fee rule carefully. Some DI table questions hide a simple calculation behind extra columns.

Question 12 - Inventory Turnover

Inventory turnover = annual cost of goods sold / average inventory.

Division COGS Average Inventory
North 480 80
South 540 90
East 600 100
West 420 105
Central 720 120

Which division has the lowest inventory turnover?

A. North
B. South
C. East
D. West
E. Central

Answer: D

Explanation:

North: 480/80 = 6. South: 540/90 = 6. East: 600/100 = 6. West: 420/105 = 4. Central: 720/120 = 6.

West has the lowest turnover.

A lower turnover means inventory is moving more slowly relative to sales.

Tip: When several ratios share a pattern, look for the outlier instead of doing unnecessary long division.

Question 13 - Scholarship Allocation

The table shows the number of students and the average scholarship award in each program.

Program Students Average Award
Analytics 20 8000
Finance 30 10000
Marketing 50 9000

What is the average scholarship award across all listed students?

A. Rs. 8,800
B. Rs. 9,000
C. Rs. 9,100
D. Rs. 9,500
E. Rs. 10,000

Answer: C

Explanation:

Total award = 20(8,000) + 30(10,000) + 50(9,000) = 160,000 + 300,000 + 450,000 = 910,000.

Total students = 100. Weighted average = 910,000/100 = Rs. 9,100.

Do not average 8,000, 10,000, and 9,000 directly unless group sizes are equal.

Tip: For weighted averages, multiply each group average by the group size before adding.

Question 14 - Shipping Times

The table lists five delivery times, in days, for each vendor.

Vendor Delivery Times
A 2, 7, 4, 3, 6
B 5, 5, 9, 3, 3
C 8, 4, 1, 4, 8

Which vendor has a median delivery time of 4 days?

A. A only
B. B only
C. C only
D. A and C
E. B and C

Answer: D

Explanation:

For five values, the median is the third value after sorting.

Vendor A: 2, 3, 4, 6, 7 -> median 4. Vendor B: 3, 3, 5, 5, 9 -> median 5. Vendor C: 1, 4, 4, 8, 8 -> median 4.

Thus A and C have median delivery time 4 days.

Tip: Sort values before finding a median. Do not average all values; that gives the mean, not the median.

Question 15 - Cost Structure

The table shows quarterly cost categories for a startup.

Category Q1 Q2
Payroll 80 90
Rent 30 30
Marketing 30 40
Software 10 20

In Q2, what percent of total cost was payroll?

A. 40%
B. 45%
C. 50%
D. 55%
E. 60%

Answer: C

Explanation:

Q2 costs: payroll 90, rent 30, marketing 40, software 20. Total = 90 + 30 + 40 + 20 = 180.

Payroll share = 90/180 = 1/2 = 50%.

Tip: When a question asks for a category as a percent of total, first build the correct total from the same row or period.

Question 16 - Sortable Table Logic

An admissions team tracks applicants by major and test score.

Major Score Range Applicants
Engineering 650-699 12
Engineering 700-749 18
Business 650-719 22
Business 720-760 16
Arts 700-760 10

How many applicants are Engineering majors with a score at least 700 or Business majors with a score at least 720?

A. 28
B. 30
C. 34
D. 38
E. 42

Answer: C

Explanation:

Engineering with score at least 700: 18 applicants. Business with score at least 720: 16 applicants.

The two groups are different majors, so there is no overlap to subtract. Total = 18 + 16 = 34.

Tip: For OR questions, check whether categories overlap. If they cannot overlap, add directly; if they can, use inclusion-exclusion. Graphics Interpretation Questions

Graphics Interpretation Questions

Question 17 - Line Chart Revenue

A line chart shows quarterly revenue: Q1 = 200, Q2 = 260, Q3 = 240, Q4 = 300 thousand dollars.

From Q1 to Q4, revenue increased by approximately what percent?

A. 25%
B. 33%
C. 40%
D. 50%
E. 60%

Answer: D

Explanation:

Increase = 300 - 200 = 100. Percent increase = 100/200 = 50%.

The intermediate quarters do not matter because the question compares Q1 directly with Q4.

Tip: Identify the exact endpoints named in the question. Trend lines can distract from the requested comparison.

Question 18 - Bar Chart Market Share

A bar chart shows market share: Brand A 35%, B 25%, C 20%, D 15%, E 5%.

Brand A’s market share is how many times Brand E’s market share?

A. 5
B. 6
C. 7
D. 8
E. 10

Answer: C

Explanation:

Compute the ratio A/E = 35%/5% = 7.

The percent signs cancel because both quantities are shares of the same whole.

Tip: For “how many times,” divide the first quantity by the second. Do not subtract percentages.

Question 19 - Pie Chart Budget

A pie chart shows a Rs. 500,000 budget: Operations 40%, Sales 25%, Research 20%, Admin 15%.

How much more is allocated to Operations than to Research?

A. Rs. 50,000
B. Rs. 75,000
C. Rs. 100,000
D. Rs. 125,000
E. Rs. 150,000

Answer: C

Explanation:

Operations minus Research = 40% - 20% = 20% of the total budget.

20% of Rs. 500,000 = Rs. 100,000.

Tip: When comparing slices of the same pie, subtract percentages first, then multiply by the total.

Question 20 - Stacked Bar Costs

A stacked bar chart shows costs for Project X: materials Rs. 60k, labor Rs. 90k, overhead Rs. 30k. Project Y: materials Rs. 80k, labor Rs. 80k, overhead Rs. 40k.

For which project is labor the larger share of total cost, and what is that share?

A. X, 40%
B. X, 50%
C. Y, 40%
D. Y, 50%
E. Same for both, 45%

Answer: B

Explanation:

Project X total = 60 + 90 + 30 = 180; labor share = 90/180 = 50%.

Project Y total = 80 + 80 + 40 = 200; labor share = 80/200 = 40%.

Labor is the larger share in Project X, at 50%.

Tip: In stacked charts, first find each bar’s total. The tallest segment is not always the largest share if totals differ.

Question 21 - Scatterplot Correlation

A scatterplot of advertising spend and monthly sales shows points rising from lower-left to upper-right. The best-fit line passes through approximately (10, 80) and (30, 140), where spend is in thousands and sales are in thousands.

According to the line, what is the predicted sales increase for each additional Rs. 1,000 in advertising spend?

A. Rs. 2,000
B. Rs. 3,000
C. Rs. 4,000
D. Rs. 5,000
E. Rs. 6,000

Answer: B

Explanation:

Slope = change in sales/change in spend = (140 - 80)/(30 - 10) = 60/20 = 3.

Because both axes are in thousands, an additional Rs. 1,000 in advertising spend predicts Rs. 3,000 more in sales.

Tip: For line-of-best-fit questions, use two clear points on the line, not random data points nearby.

Question 22 - Histogram Defects

A histogram gives defect counts per batch: 0 defects in 6 batches, 1 defect in 10 batches, 2 defects in 8 batches, 3 defects in 4 batches, 4 defects in 2 batches.

What is the average number of defects per batch?

A. 1.4
B. 1.5
C. 1.6
D. 1.7
E. 1.8

Answer: B

Explanation:

Total defects = 0(6) + 1(10) + 2(8) + 3(4) + 4(2) = 46.

Total batches = 30. Average = 46/30 = 1.533..., which rounds to 1.5 to the nearest tenth.

If the choices are rounded values, round only after computing the weighted average.

Tip: For histograms, frequencies are counts. Multiply each value by its frequency before averaging.

Question 23 - Index Chart

An index chart sets 2023 sales = 100. The index values are 2024 = 115 and 2025 = 138.

From 2024 to 2025, sales increased by approximately what percent?

A. 15%
B. 18%
C. 20%
D. 23%
E. 38%

Answer: C

Explanation:

Percent increase from 2024 to 2025 = (138 - 115)/115 = 23/115 = 20%.

Do not compare 138 to the base 100 because the question asks from 2024 to 2025.

Tip: In index questions, the base year is useful only when the question compares to the base. Otherwise, treat index values like normal numbers.

Question 24 - Area Chart Users

An area chart shows active users: Region A rises from 40k to 70k, Region B rises from 50k to 65k over the same period.

The increase in Region A users exceeds the increase in Region B users by how many users?

A. 5,000
B. 10,000
C. 15,000
D. 20,000
E. 25,000

Answer: C

Explanation:

Region A increase = 70k - 40k = 30k. Region B increase = 65k - 50k = 15k.

Difference in increases = 30k - 15k = 15k users.

Tip: Separate “final difference” from “difference in increases.” GMAT-style graphics often test this distinction. Two-Part Analysis Questions

Two-Part Analysis Questions

Question 25 - Break-Even Quantity

A product has fixed cost Rs. 12,000, variable cost Rs. 80 per unit, and selling price Rs. 140 per unit.

Select the break-even quantity and profit at 300 units.

A. Break-even 100; Profit Rs. 6,000
B. Break-even 150; Profit Rs. 6,000
C. Break-even 200; Profit Rs. 6,000
D. Break-even 200; Profit Rs. 18,000
E. Break-even 300; Profit Rs. 6,000

Answer: C

Explanation:

Contribution per unit = 140 - 80 = 60. Break-even quantity = fixed cost/contribution = 12,000/60 = 200.

At 300 units, profit = 300(60) - 12,000 = 18,000 - 12,000 = Rs. 6,000.

Tip: For break-even questions, find contribution margin first. It often solves both parts.

Question 26 - Mixture Concentration

A chemist mixes Solution A, which is 20% acid, with Solution B, which is 50% acid, to make 30 liters of a 30% acid solution.

How many liters of A and B are needed?

A. A = 10, B = 20
B. A = 15, B = 15
C. A = 20, B = 10
D. A = 22, B = 8
E. A = 25, B = 5

Answer: C

Explanation:

Let B = x, so A = 30 - x. Acid amount: 0.20(30 - x) + 0.50x = 0.30(30).

6 - 0.20x + 0.50x = 9, so 0.30x = 3 and x = 10. Therefore B = 10 and A = 20.

Tip: In mixture problems, write an equation for the active ingredient, not just the total volume.

Question 27 - Distance and Speed

A train travels 180 km at speed r and returns 180 km at speed r + 15. The return trip takes 1 hour less than the outbound trip.

Which pair gives r and total travel time?

A. r = 45; total = 7 hours
B. r = 45; total = 9 hours
C. r = 60; total = 7 hours
D. r = 60; total = 8 hours
E. r = 75; total = 5 hours

Answer: A

Explanation:

Outbound time = 180/r. Return time = 180/(r + 15). Difference = 1.

Test r = 45: outbound = 4 hours, return = 180/60 = 3 hours, difference = 1. Total = 7 hours.

The pair r = 45 and total = 7 hours satisfies both conditions.

Tip: For two-part rate problems, testing answer choices can be faster than solving a quadratic.

Question 28 - Discount and Markup

An item is marked up 25% over cost and then sold at a 20% discount from marked price.

What is the final selling price as a percent of cost, and what is the profit percent?

A. 100%; 0%
B. 105%; 5%
C. 110%; 10%
D. 120%; 20%
E. 125%; 25%

Answer: A

Explanation:

Let cost = 100. Marked price = 125. Discounted selling price = 80% of 125 = 100.

Selling price equals cost, so profit is 0%.

Tip: Successive percent changes multiply; they do not add. A 25% increase followed by a 20% decrease returns to the original value.

Question 29 - Probability Two Events

Question type: Two-Part Analysis | Main skill: Probability | Level: Hard

A survey shows 60% of customers use mobile banking, 45% use online banking, and 25% use both.

What percent use at least one of the two services, and what percent use exactly one?

A. 80%; 55%
B. 80%; 60%
C. 85%; 55%
D. 85%; 60%
E. 90%; 65%

Answer: A

Explanation:

At least one = mobile + online - both = 60 + 45 - 25 = 80%.

Exactly one = mobile only + online only = (60 - 25) + (45 - 25) = 35 + 20 = 55%.

Tip: For overlapping groups, use inclusion-exclusion. “At least one” includes the overlap once; “exactly one” excludes it.

Question 30 - Integer Exponents

For positive integer k, 2k is divisible by 64 but not by 128.

What is k, and what is the units digit of 3^k?

A. k = 5; units digit 3
B. k = 5; units digit 7
C. k = 6; units digit 9
D. k = 6; units digit 1
E. k = 7; units digit 7

Answer: C

Explanation:

64 = 26 and 128 = 27. If 2k is divisible by 64 but not by 128, then k = 6.

Powers of 3 have units digit cycle 3, 9, 7, 1. Since 6 leaves remainder 2 when divided by 4, 3^6 has units digit 9.

Tip: For exponent divisibility, compare prime-power exponents. For units digits, use cycles.

Question 31 - Coordinate Slope

Line L passes through (2, 5) and (8, 17).

What is the slope of L and the y-intercept?

A. slope 2; intercept 1
B. slope 2; intercept -1
C. slope 3; intercept -1
D. slope 3; intercept 1
E. slope 4; intercept -3

Answer: A

Explanation:

Slope = (17 - 5)/(8 - 2) = 12/6 = 2.

Use y = mx + b. With point (2,5): 5 = 2(2) + b, so b = 1.

Tip: After finding slope, use one point to find the intercept. Do not use x-intercept and y-intercept interchangeably.

Question 32 - Combinations and Probability

From 5 analysts and 4 managers, a committee of 3 is chosen at random.

How many committees contain exactly 2 analysts, and what is the probability of exactly 2 analysts?

A. 20; 5/21
B. 30; 5/14
C. 40; 10/21
D. 60; 5/7
E. 84; 10/21

Answer: C

Explanation:

Choose exactly 2 analysts from 5: C(5,2) = 10. Choose exactly 1 manager from 4: C(4,1) = 4. Favorable committees = 10 x 4 = 40.

Total committees = C(9,3) = 84. Probability = 40/84 = 10/21.

Tip: For “exactly” counting questions, choose each required group separately, then multiply. Multi-Source Reasoning Questions

Multi-Source Reasoning Questions

Question 33 - MSR Delivery Charge

Source 1: A delivery firm charges a base fee of Rs. 200 plus Rs. 15 per kilometer. Source 2: For corporate customers, the firm gives a 10% discount on the total pre-tax charge. Source 3: Tax is 8% after any discount.

What is the final charge for a corporate delivery of 20 km?

A. Rs. 450
B. Rs. 486
C. Rs. 500
D. Rs. 540
E. Rs. 560

Answer: B

Explanation:

Pre-tax charge before discount = 200 + 15(20) = 500.

Corporate discount = 10%, so discounted amount = 0.90(500) = 450.

Tax after discount = 8%, so final charge = 450(1.08) = Rs. 486.

Tip: In multi-source questions, combine rules in the correct order. Discount before tax is not the same as tax before discount if fixed fees or thresholds are present.

Question 34 - MSR Delivery Distance

Source 1: A delivery firm charges a base fee of Rs. 200 plus Rs. 15 per kilometer. Source 2: For corporate customers, the firm gives a 10% discount on the total pre-tax charge. Source 3: Tax is 8% after any discount.

For a non-corporate delivery, the final charge including tax is Rs. 702. What is the distance?

A. 25 km
B. 28 km
C. 30 km
D. 32 km
E. 35 km

Answer: C

Explanation:

Non-corporate means no discount. Final charge = 1.08(200 + 15d) = 702.

Divide by 1.08: 200 + 15d = 650. Then 15d = 450, so d = 30 km.

Tip: When tax is applied to a whole expression, undo the tax first by dividing by 1 plus the tax rate.

Question 35 - MSR Pricing Comparison

Source 1: A delivery firm charges a base fee of Rs. 200 plus Rs. 15 per kilometer. Source 2: For corporate customers, the firm gives a 10% discount on the total pre-tax charge. Source 3: Tax is 8% after any discount.

For which delivery distance d is the corporate final charge at least Rs. 100 less than the non-corporate final charge?

A. d >= 30
B. d >= 40
C. d >= 45
D. d >= 50
E. d >= 75

Answer: D

Explanation:

Non-corporate final = 1.08(200 + 15d). Corporate final = 1.08(0.90)(200 + 15d).

Difference = 1.08(0.10)(200 + 15d) = 0.108(200 + 15d).

Require 0.108(200 + 15d) >= 100. Then 200 + 15d >= 925.93, so d >= 48.4. Among the answer choices, the smallest distance threshold that guarantees the condition is d >= 50.

Tip: Use algebraic expressions from each source, then compare them symbolically before plugging in numbers.

Question 36 - MSR April Revenue

Source 1: A retailer tracks online and store sales. Online orders have an average value of Rs. 4,000; store orders have an average value of Rs. 3,000. Source 2: In April, 60% of orders were online and total orders were 500. Source 3: In May, total revenue was Rs. 1,820,000 from 520 orders.

What was total revenue in April?

A. Rs. 1,500,000
B. Rs. 1,600,000
C. Rs. 1,700,000
D. Rs. 1,800,000
E. Rs. 2,000,000

Answer: D

Explanation:

April online orders = 60% of 500 = 300. Store orders = 200.

Revenue = 300(4,000) + 200(3,000) = 1,200,000 + 600,000 = Rs. 1,800,000.

Tip: Turn percentages into counts before multiplying by average values.

Question 37 - MSR May Online Share

Source 1: A retailer tracks online and store sales. Online orders have an average value of Rs. 4,000; store orders have an average value of Rs. 3,000. Source 2: In April, 60% of orders were online and total orders were 500. Source 3: In May, total revenue was Rs. 1,820,000 from 520 orders.

Assuming the same average values in May, approximately what percent of May orders were online?

A. 35%
B. 40%
C. 45%
D. 50%
E. 55%

Answer: D

Explanation:

Let x be May online orders. Then store orders = 520 - x.

Revenue equation: 4,000x + 3,000(520 - x) = 1,820,000.

4,000x + 1,560,000 - 3,000x = 1,820,000, so x = 260. Online share = 260/520 = 50%.

Tip: For two-category weighted averages, the average revenue per order can also be used: 1,820,000/520 = 3,500, halfway between 3,000 and 4,000, so the shares are equal.

Question 38 - MSR Revenue Change

Source 1: A retailer tracks online and store sales. Online orders have an average value of Rs. 4,000; store orders have an average value of Rs. 3,000. Source 2: In April, 60% of orders were online and total orders were 500. Source 3: In May, total revenue was Rs. 1,820,000 from 520 orders.

By what percent did total revenue increase from April to May?

A. About 1.1%
B. About 2.0%
C. About 3.6%
D. About 4.0%
E. About 5.5%

Answer: A

Explanation:

April revenue from the earlier calculation is Rs. 1,800,000. May revenue is Rs. 1,820,000.

Increase = 20,000. Percent increase = 20,000/1,800,000 = 1/90 = 1.11%.

Tip: Percent change uses the original period in the denominator. Here, April is the base.

Question 39 - MSR Package Rate

Source 1: A school offers three prep packages: Basic, Plus, and Elite. Source 2: Basic costs Rs. 20,000 and includes 10 hours. Plus costs Rs. 32,000 and includes 20 hours. Elite costs Rs. 45,000 and includes 30 hours. Source 3: Extra hours cost Rs. 2,000 each for Basic, Rs. 1,500 each for Plus, and Rs. 1,200 each for Elite.

For a student who needs exactly 25 hours, which package gives the lowest total cost?

A. Basic
B. Plus
C. Elite
D. Basic and Plus tie
E. Plus and Elite tie

Answer: B

Explanation:

Basic: 20,000 + 15 extra hours(2,000) = 50,000.

Plus: 32,000 + 5 extra hours(1,500) = 39,500.

Elite includes 30 hours, so cost = 45,000. The lowest is Plus.

Tip: Do not choose based only on package price or hourly rate. Compute total cost for the exact need.

Question 40 - MSR Package Threshold

Source 1: A school offers three prep packages: Basic, Plus, and Elite. Source 2: Basic costs Rs. 20,000 and includes 10 hours. Plus costs Rs. 32,000 and includes 20 hours. Elite costs Rs. 45,000 and includes 30 hours. Source 3: Extra hours cost Rs. 2,000 each for Basic, Rs. 1,500 each for Plus, and Rs. 1,200 each for Elite.

For how many total hours h, where h is a positive integer, is Elite cheaper than Plus?

A. h > 25
B. h > 28
C. h > 30
D. h > 34
E. h > 40

Answer: B

Explanation:

Compare Elite with Plus. For 20 < h <= 30, Plus cost = 32,000 + 1,500(h - 20), and Elite cost = 45,000 because 30 hours are included.

Elite is cheaper when 45,000 < 32,000 + 1,500(h - 20). This simplifies to 45,000 < 1,500h + 2,000, so 43,000 < 1,500h and h > 28.67.

Among the answer choices, h > 28 is the closest threshold that expresses when Elite begins to beat Plus. For integer hours, Elite is cheaper at 29 hours and above.

Tip: For piecewise pricing, identify the relevant interval before setting up the inequality.