I85PREP
⌘ K
GMAT Data Insights study materials
GMAT Data Insights study resources

GMAT Data Insights practice questions

One question at a time. Build your GMAT Data Insights understanding.

First 50 of 190 questions. Each one lists the choices, the correct answer, and an explanation. The checker at the top of this page saves progress in this browser when it is available.

Continue in the practice tool above to load more questions, 50 at a time.

Question 1Data interpretation, information sufficiency and source reasoning

What is the value of integer n? Statement (1): n² = 16 Statement (2): n > 0

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Statement (1): n² = 16 gives n = 4 or n = −4, two values, so it is not sufficient alone. Statement (2): n > 0 gives no specific value. Together: n must be positive and satisfy n² = 16, so n = 4. Answer is C.

Question 2Data interpretation, information sufficiency and source reasoning

Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient. Correct answer.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

Statement (1): x² > 0 tells us x ≠ 0, but x could be positive or negative (e.g., x = −2 gives x² = 4 > 0). Not sufficient. Statement (2): x³ > 0 implies x > 0 because odd powers preserve sign. Sufficient alone. Answer is B.

Question 3Data interpretation, information sufficiency and source reasoning

A jar contains only red and blue marbles. What fraction of the marbles are red? Statement (1): There are 12 red marbles in the jar. Statement (2): The ratio of red marbles to blue marbles is 3:5.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient. Correct answer.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

Statement (1) gives only the count of red marbles; without the total, we cannot find the fraction. Statement (2) gives a ratio of 3:5, so the fraction of red marbles is 3/(3+5) = 3/8 - a unique value. Answer is B.

Question 4Data interpretation, information sufficiency and source reasoning

What is the area of rectangle R? Statement (1): The perimeter of R is 40. Statement (2): The diagonal of R is 10√2.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Statement (1): 2(l+w)=40 → l+w=20; pairs (1,19), (10,10), etc. have different areas. Not sufficient. Statement (2): l²+w²=200; again multiple solutions. Together: l+w=20 and l²+w²=200. Using (l+w)²=l²+2lw+w²: 400=200+2lw → lw=100. Area=lw=100. Answer is C.

Question 5Data interpretation, information sufficiency and source reasoning

Is the integer m divisible by 6? Statement (1): m is divisible by 3. Statement (2): m is divisible by 4.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Divisibility by 6 requires divisibility by both 2 and 3. Statement (1): divisible by 3 but not necessarily by 2 (e.g., m=9). Not sufficient. Statement (2): divisible by 4 (and thus 2) but not necessarily by 3 (e.g., m=4). Not sufficient. Together: lcm(3,4)=12, so m is divisible by 12, which means divisible by 6. Sufficient. Answer is C.

Question 6Data interpretation, information sufficiency and source reasoning

A line in the xy-plane passes through the origin. What is the slope of the line? Statement (1): The line passes through the point (2, 6). Statement (2): The line passes through the point (−1, −3).

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

A line through the origin has equation y = mx. Statement (1): substituting (2,6): 6=2m → m=3. Sufficient. Statement (2): substituting (−1,−3): −3=(−1)m → m=3. Also sufficient. Each statement alone determines the slope. Answer is D.

Question 7Data interpretation, information sufficiency and source reasoning

What is the average (arithmetic mean) of five consecutive even integers? Statement (1): The largest of the five integers is 18. Statement (2): The smallest of the five integers is 10.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

For consecutive even integers, mean = middle (3rd) value. Statement (1): largest = 18 → set is {10,12,14,16,18} → mean = 14. Sufficient. Statement (2): smallest = 10 → same set → mean = 14. Also sufficient. Answer is D.

Question 8Data interpretation, information sufficiency and source reasoning

If p and q are positive integers, is p/q a terminating decimal? Statement (1): q = 8 Statement (2): p = 3

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient. Correct answer.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

A fraction p/q terminates if and only if q (in lowest terms) has only 2s and 5s as prime factors. Statement (1): q=8=2³, so any p/8 terminates (8 has only the prime factor 2). Sufficient. Statement (2): p=3 says nothing about q - 3/8 terminates but 3/7 does not. Not sufficient. Answer is A.

Question 9Data interpretation, information sufficiency and source reasoning

A store sold 240 items in January. By what percent did the number of items sold increase from January to February? Statement (1): The store sold 300 items in February. Statement (2): The number of items sold increased by 60 from January to February.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

January = 240 (given in the stem). Statement (1): February = 300 → percent increase = (300−240)/240 = 25%. Sufficient. Statement (2): Increase = 60 → percent = 60/240 = 25%. Also sufficient. Answer is D.

Question 10Data interpretation, information sufficiency and source reasoning

If x and y are positive, is x > y? Statement (1): x/y > 1 Statement (2): x − y > 0

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

Since x and y are positive, x/y > 1 ⟺ x > y. So Statement (1) directly implies x > y. Sufficient. Statement (2): x − y > 0 directly means x > y. Also sufficient. Answer is D.

Question 11Data interpretation, information sufficiency and source reasoning

The following table shows quarterly revenue (in millions of dollars) for Company XYZ across four product lines. | Product Line | Q1 | Q2 | Q3 | Q4 | |---|---|---|---|---| | Software | 12.4 | 15.2 | 14.8 | 18.6 | | Hardware | 8.7 | 9.1 | 10.3 | 11.5 | | Services | 22.0 | 24.5 | 21.8 | 27.3 | | Consulting | 5.2 | 6.8 | 7.4 | 9.0 | For the full year, which product line generated the MOST revenue?

  1. Software
  2. Hardware
  3. Services Correct answer.
  4. Consulting

Explanation

Annual totals: Software = 12.4+15.2+14.8+18.6 = 61.0M; Hardware = 8.7+9.1+10.3+11.5 = 39.6M; Services = 22.0+24.5+21.8+27.3 = 95.6M; Consulting = 5.2+6.8+7.4+9.0 = 28.4M. Services is highest at $95.6M.

Question 12Data interpretation, information sufficiency and source reasoning

The following table shows quarterly revenue (in millions of dollars) for Company XYZ across four product lines. | Product Line | Q1 | Q2 | Q3 | Q4 | |---|---|---|---|---| | Software | 12.4 | 15.2 | 14.8 | 18.6 | | Hardware | 8.7 | 9.1 | 10.3 | 11.5 | | Services | 22.0 | 24.5 | 21.8 | 27.3 | | Consulting | 5.2 | 6.8 | 7.4 | 9.0 | Which product line showed the greatest absolute increase in revenue from Q1 to Q4?

  1. Software Correct answer.
  2. Hardware
  3. Services
  4. Consulting

Explanation

Q4 − Q1 for each line: Software = 18.6 − 12.4 = 6.2M; Hardware = 11.5 − 8.7 = 2.8M; Services = 27.3 − 22.0 = 5.3M; Consulting = 9.0 − 5.2 = 3.8M. Software has the greatest absolute increase at 6.2M.

Question 13Data interpretation, information sufficiency and source reasoning

The following table shows quarterly revenue (in millions of dollars) for Company XYZ across four product lines. | Product Line | Q1 | Q2 | Q3 | Q4 | |---|---|---|---|---| | Software | 12.4 | 15.2 | 14.8 | 18.6 | | Hardware | 8.7 | 9.1 | 10.3 | 11.5 | | Services | 22.0 | 24.5 | 21.8 | 27.3 | | Consulting | 5.2 | 6.8 | 7.4 | 9.0 | Approximately what percentage of total Q3 revenue came from the Services line?

  1. 28%
  2. 40% Correct answer.
  3. 45%
  4. 52%

Explanation

Q3 total = 14.8 + 10.3 + 21.8 + 7.4 = 54.3M. Services Q3 = 21.8M. Percentage = 21.8/54.3 ≈ 40.1%. The closest answer is 40%.

Question 14Data interpretation, information sufficiency and source reasoning

The following table shows test scores (out of 100) for 5 students across 3 subjects. | Student | Math | Science | English | |---|---|---|---| | Alex | 85 | 78 | 92 | | Beth | 70 | 88 | 75 | | Carlos | 95 | 91 | 83 | | Dana | 62 | 74 | 80 | | Eve | 88 | 85 | 77 | Which student has the highest average score across all three subjects?

  1. Alex
  2. Beth
  3. Carlos Correct answer.
  4. Eve

Explanation

Row sums: Alex=255, Beth=233, Carlos=269, Dana=216, Eve=250. Carlos has the highest sum (269) and thus the highest average (269/3 ≈ 89.7).

Question 15Data interpretation, information sufficiency and source reasoning

The following table shows test scores (out of 100) for 5 students across 3 subjects. | Student | Math | Science | English | |---|---|---|---| | Alex | 85 | 78 | 92 | | Beth | 70 | 88 | 75 | | Carlos | 95 | 91 | 83 | | Dana | 62 | 74 | 80 | | Eve | 88 | 85 | 77 | In how many subjects did Eve score higher than the class average for that subject?

  1. 0
  2. 1
  3. 2 Correct answer.
  4. 3

Explanation

Math avg = (85+70+95+62+88)/5 = 400/5 = 80; Eve=88 > 80 ✓. Science avg = (78+88+91+74+85)/5 = 416/5 = 83.2; Eve=85 > 83.2 ✓. English avg = (92+75+83+80+77)/5 = 407/5 = 81.4; Eve=77 < 81.4 ✗. Eve exceeded the average in 2 subjects.

Question 16Data interpretation, information sufficiency and source reasoning

A scatter plot shows the relationship between hours studied per week (x-axis, 2–20 hours) and final exam scores (y-axis, 50–100 points) for 30 students. A best-fit line passes through approximately (4, 62) and (16, 86). Based on the best-fit line, approximately how many points does the exam score increase for each additional hour of study per week?

  1. 1 point per hour
  2. 2 points per hour Correct answer.
  3. 3 points per hour
  4. 4 points per hour

Explanation

Slope = (86 − 62) / (16 − 4) = 24 / 12 = 2 points per hour of study.

Question 17Data interpretation, information sufficiency and source reasoning

A bar chart shows annual sales (in thousands of units) for four regions over two years: North: Year 1 = 80, Year 2 = 96 South: Year 1 = 60, Year 2 = 66 East: Year 1 = 100, Year 2 = 110 West: Year 1 = 40, Year 2 = 52 Which region had the greatest percentage increase in sales from Year 1 to Year 2?

  1. North
  2. South
  3. East
  4. West Correct answer.

Explanation

Percent increases: North = (96−80)/80 = 20%; South = (66−60)/60 ≈ 10%; East = (110−100)/100 = 10%; West = (52−40)/40 = 30%. West has the greatest percentage increase at 30%.

Question 18Data interpretation, information sufficiency and source reasoning

A pie chart shows the distribution of a company's 500 total employees by department: Engineering 30%, Marketing 20%, Sales 25%, Operations 15%, HR 10%. If 40 new Engineering employees are hired (and no other changes occur), approximately what percentage of the new total of 540 employees will be in Engineering?

  1. 30%
  2. 33%
  3. 35% Correct answer.
  4. 38%

Explanation

Current Engineering = 30% × 500 = 150 employees. After hiring: 150 + 40 = 190 Engineering out of 540 total. Percentage = 190/540 ≈ 35.2%. Closest answer is 35%.

Question 19Data interpretation, information sufficiency and source reasoning

A line graph shows monthly website traffic (in thousands of visitors) over 6 months: Jan: 45, Feb: 50, Mar: 60, Apr: 58, May: 70, Jun: 80 A dashed trend line passes through (Jan, 44) and (Jun, 79). In which month did actual traffic most EXCEED the trend line value?

  1. February
  2. March Correct answer.
  3. May
  4. June

Explanation

The trend line rises from 44 to 79 over 5 months: slope = (79−44)/5 = 7 per month. Monthly trend values: Jan=44, Feb=51, Mar=58, Apr=65, May=72, Jun=79. Differences (actual − trend): Feb=50−51=−1; Mar=60−58=+2; May=70−72=−2; Jun=80−79=+1. March has the largest positive deviation (+2).

Question 20Data interpretation, information sufficiency and source reasoning

A histogram shows the distribution of 200 exam scores in five intervals: 0–19: 8 students | 20–39: 22 students | 40–59: 55 students | 60–79: 80 students | 80–100: 35 students What percentage of students scored at least 60 on the exam?

  1. 40%
  2. 48%
  3. 57.5% Correct answer.
  4. 67.5%

Explanation

Students scoring at least 60 = 80 + 35 = 115. Percentage = 115/200 = 57.5%.

Question 21Data interpretation, information sufficiency and source reasoning

A company must assign exactly one project manager (PM) and one lead developer (LD) to a new project. PM candidates: Alice, Bob, Carol. LD candidates: Dave, Eve, Frank. Constraints: - If Alice is PM, then Dave cannot be LD. - If Bob is PM, then Eve must be LD. If Carol is NOT selected as PM, which of the following is a valid assignment?

  1. PM: Alice, LD: Dave
  2. PM: Bob, LD: Frank
  3. PM: Alice, LD: Eve Correct answer.
  4. PM: Bob, LD: Dave

Explanation

Carol not selected → PM is Alice or Bob. Option A: Alice + Dave violates constraint 1 (Alice requires not-Dave). Option B: Bob + Frank violates constraint 2 (Bob requires Eve). Option C: Alice + Eve - constraint 1 only bans Dave with Alice; Eve is permitted. Valid. Option D: Bob + Dave violates constraint 2 (Bob requires Eve). Answer is C (index 2).

Question 22Data interpretation, information sufficiency and source reasoning

A retailer stocks two products: Product X (costs $8, sells for $14) and Product Y (costs $12, sells for $20). Last month, 500 total units were produced with a total production cost of $4,800. Which answer correctly gives (a) the number of Product X units produced and (b) total revenue from all sales?

  1. (a) 300 units of X, (b) $8,200 Correct answer.
  2. (a) 300 units of X, (b) $8,600
  3. (a) 200 units of X, (b) $7,600
  4. (a) 200 units of X, (b) $8,400

Explanation

Let x = units of X, y = units of Y. x + y = 500 and 8x + 12y = 4,800. Substituting y = 500−x: 8x + 12(500−x) = 4,800 → −4x = −1,200 → x = 300, y = 200. Revenue = 300×$14 + 200×$20 = $4,200 + $4,000 = $8,200.

Question 23Data interpretation, information sufficiency and source reasoning

What is the value of positive integer k? Statement (1): k² − 5k + 6 = 0 Statement (2): k is even.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Statement (1): k² − 5k + 6 = (k−2)(k−3) = 0, so k = 2 or k = 3. Not sufficient alone (two values). Statement (2): k is even - infinitely many possibilities. Together: k is even AND in {2, 3}, so k = 2 uniquely. Answer is C.

Question 24Data interpretation, information sufficiency and source reasoning

In a class of 30 students, each student takes at least one of two electives: Art or Music. How many students take both Art and Music? Statement (1): 20 students take Art. Statement (2): 18 students take Music.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Inclusion-exclusion: |Art ∪ Music| = |Art| + |Music| − |Both|. Total = 30 (everyone takes at least one). Statement (1) alone: 30 = 20 + |Music| − |Both|, two unknowns. Statement (2) alone: 30 = |Art| + 18 − |Both|, two unknowns. Together: 30 = 20 + 18 − |Both| → |Both| = 8. Answer is C.

Question 25Data interpretation, information sufficiency and source reasoning

If xy ≠ 0, what is the value of (x²y³)/(x³y²)? Statement (1): x = y Statement (2): x/y = 1

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

(x²y³)/(x³y²) simplifies to y/x. Statement (1): x = y → y/x = 1. Sufficient. Statement (2): x/y = 1 → y/x = 1. Also sufficient. Each statement independently determines the value is 1. Answer is D.

Question 26Data interpretation, information sufficiency and source reasoning

What is the median of a set of 7 distinct integers? Statement (1): The sum of all 7 integers is 63. Statement (2): The integers are consecutive.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Statement (1): Sum = 63, but many non-consecutive sets of 7 distinct integers sum to 63 with different medians. Not sufficient. Statement (2): Consecutive integers - the set pattern is known but not the specific values (could be 1–7, median=4, or 10–16, median=13). Not sufficient. Together: 7 consecutive integers with sum 63. Mean = 63/7 = 9. For consecutive integers, mean = median = 9. Sufficient. Answer is C.

Question 27Data interpretation, information sufficiency and source reasoning

Is the product of integers p, q, and r equal to zero? Statement (1): p × q = 0 Statement (2): q × r ≠ 0

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient. Correct answer.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

Statement (1): p×q=0 means p=0 or q=0. In either case, the product p×q×r = 0 (a zero factor makes any product zero). So the answer is definitively YES. Sufficient alone. Statement (2): q×r≠0 tells us q≠0 and r≠0, but p might be zero (making p×q×r=0) or non-zero (making p×q×r≠0). Not sufficient. Answer is A.

Question 28Data interpretation, information sufficiency and source reasoning

The following table shows the number of units sold and price per unit for four products at a store in two months. | Product | Jan Units | Jan Price ($) | Feb Units | Feb Price ($) | |---|---|---|---|---| | Alpha | 120 | 15.00 | 135 | 14.50 | | Beta | 80 | 22.00 | 90 | 22.00 | | Gamma | 200 | 8.50 | 175 | 9.00 | | Delta | 50 | 45.00 | 60 | 43.00 | For which product did total revenue DECREASE from January to February?

  1. Alpha
  2. Beta
  3. Gamma Correct answer.
  4. Delta

Explanation

Jan revenues: Alpha=120×15=$1,800; Beta=80×22=$1,760; Gamma=200×8.50=$1,700; Delta=50×45=$2,250. Feb revenues: Alpha=135×14.50=$1,957.50; Beta=90×22=$1,980; Gamma=175×9=$1,575; Delta=60×43=$2,580. Only Gamma decreased: $1,700 (Jan) vs $1,575 (Feb).

Question 29Data interpretation, information sufficiency and source reasoning

The following table shows enrollment (students) and average test score for six schools in a district. | School | Enrollment | Avg Score | |---|---|---| | Adams | 320 | 74 | | Brown | 450 | 81 | | Carter | 280 | 88 | | Davis | 510 | 76 | | Evans | 190 | 92 | | Foster | 350 | 79 | Approximately what is the enrollment-weighted average score for the district?

  1. 79.5
  2. 80.3 Correct answer.
  3. 81.7
  4. 83.0

Explanation

Total enrollment = 320+450+280+510+190+350 = 2,100. Weighted sum = 320×74+450×81+280×88+510×76+190×92+350×79 = 23,680+36,450+24,640+38,760+17,480+27,650 = 168,660. Weighted avg = 168,660/2,100 ≈ 80.3.

Question 30Data interpretation, information sufficiency and source reasoning

The following table shows the number of customer complaints received by a call center per day, categorized by type. | Day | Billing | Technical | Shipping | Other | |---|---|---|---|---| | Mon | 18 | 32 | 14 | 6 | | Tue | 22 | 28 | 18 | 8 | | Wed | 15 | 35 | 12 | 5 | | Thu | 25 | 30 | 20 | 10 | | Fri | 20 | 25 | 16 | 9 | On which day did Technical complaints represent the highest percentage of that day's total complaints?

  1. Monday
  2. Tuesday
  3. Wednesday Correct answer.
  4. Thursday

Explanation

Day totals: Mon=70, Tue=76, Wed=67, Thu=85, Fri=70. Technical percentages: Mon=32/70≈45.7%; Tue=28/76≈36.8%; Wed=35/67≈52.2%; Thu=30/85≈35.3%. Wednesday has the highest Technical share at approximately 52.2%.

Question 31Data interpretation, information sufficiency and source reasoning

A scatter plot shows monthly advertising spend ($) versus monthly sales revenue ($) for a company over 24 months. Two clearly labeled points on the best-fit line are (10,000; 150,000) and (40,000; 360,000). According to the best-fit line, what is the predicted monthly sales revenue when advertising spend is $25,000?

  1. $220,000
  2. $235,000
  3. $255,000 Correct answer.
  4. $275,000

Explanation

Slope = (360,000 − 150,000)/(40,000 − 10,000) = 210,000/30,000 = 7. Using point (10,000; 150,000): revenue at $25,000 = 150,000 + 7 × (25,000 − 10,000) = 150,000 + 105,000 = $255,000.

Question 32Data interpretation, information sufficiency and source reasoning

A line graph shows a country's annual GDP growth rate (%) from 2015 to 2022: 2015: 2.8% | 2016: 3.1% | 2017: 3.5% | 2018: 2.9% | 2019: 2.3% | 2020: −3.4% | 2021: 5.7% | 2022: 3.2% Which year showed the greatest year-over-year IMPROVEMENT in GDP growth rate (i.e., the largest increase from the prior year)?

  1. 2016
  2. 2017
  3. 2021 Correct answer.
  4. 2022

Explanation

Year-over-year changes in growth rate: 2016: 3.1−2.8=+0.3pp; 2017: 3.5−3.1=+0.4pp; 2021: 5.7−(−3.4)=+9.1pp; 2022: 3.2−5.7=−2.5pp. The greatest improvement is 2021 at +9.1 percentage points, recovering from 2020's contraction.

Question 33Data interpretation, information sufficiency and source reasoning

A double bar chart shows full-time (FT) and part-time (PT) employees hired at a company over four quarters: Q1: FT=40, PT=25 | Q2: FT=35, PT=30 | Q3: FT=50, PT=20 | Q4: FT=45, PT=35 Over the full year, what fraction of all new hires were part-time?

  1. 11/28 Correct answer.
  2. 11/22
  3. 110/170
  4. 25/80

Explanation

Total FT = 40+35+50+45 = 170. Total PT = 25+30+20+35 = 110. Grand total = 280. Fraction PT = 110/280 = 11/28.

Question 34Data interpretation, information sufficiency and source reasoning

A company is choosing vendors for two independent services: Cloud Storage (CS) and Security Software (SS). CS candidates: Vendor A ($2,000/mo) and Vendor B ($1,800/mo). SS candidates: Vendor X ($1,500/mo) and Vendor Y ($1,200/mo). Constraint: If Vendor A is chosen for CS, then Vendor X must be chosen for SS. The company wants to minimize total monthly cost. What is the minimum possible monthly cost and which vendors are selected?

  1. $3,000: Vendor B for CS, Vendor Y for SS Correct answer.
  2. $3,300: Vendor B for CS, Vendor X for SS
  3. $3,500: Vendor A for CS, Vendor X for SS
  4. $3,200: Vendor A for CS, Vendor Y for SS

Explanation

Valid combinations: A+X (constraint satisfied) = $3,500; B+Y (constraint not triggered) = $3,000; B+X = $3,300. Option D (A+Y) violates the constraint (A requires X). Minimum valid cost is $3,000 with B+Y.

Question 35Data interpretation, information sufficiency and source reasoning

Two investors, Maria and Nathan, are each choosing a different bond from three options: Bond P (yield 5%, risk score 2), Bond Q (yield 7%, risk score 5), Bond R (yield 6%, risk score 3). Maria selects the bond with the highest yield-to-risk ratio. Nathan selects the bond with the highest absolute yield. They must choose different bonds. Which answer correctly identifies (a) Maria's choice and (b) Nathan's choice?

  1. (a) Bond P, (b) Bond Q Correct answer.
  2. (a) Bond R, (b) Bond Q
  3. (a) Bond P, (b) Bond R
  4. (a) Bond Q, (b) Bond P

Explanation

Yield-to-risk ratios: P=5/2=2.5; Q=7/5=1.4; R=6/3=2.0. Maria picks the highest ratio → Bond P. Nathan picks the highest yield → Bond Q (7%). They choose different bonds (P ≠ Q) ✓. Answer: (a) P, (b) Q.

Question 36Data interpretation, information sufficiency and source reasoning

A chemist needs to create exactly 12 liters of a 25% acid solution by mixing Solution P (20% acid) and Solution Q (40% acid). Which answer correctly gives (a) the liters of P needed and (b) the liters of Q needed?

  1. (a) 9 liters of P, (b) 3 liters of Q Correct answer.
  2. (a) 8 liters of P, (b) 4 liters of Q
  3. (a) 6 liters of P, (b) 6 liters of Q
  4. (a) 10 liters of P, (b) 2 liters of Q

Explanation

Let p = liters of P, q = liters of Q. System: p + q = 12 and 0.20p + 0.40q = 0.25 × 12 = 3.0. From second equation: 0.20p + 0.40(12−p) = 3.0 → 0.20p + 4.8 − 0.40p = 3.0 → −0.20p = −1.8 → p = 9, q = 3. Verification: 0.20×9 + 0.40×3 = 1.8 + 1.2 = 3.0 ✓.

Question 37Data interpretation, information sufficiency and source reasoning

Is the positive integer n a prime number? Statement (1): n has exactly two factors. Statement (2): n is odd.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient. Correct answer.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

By definition, a prime number has exactly two distinct positive factors (1 and itself). Statement (1): exactly two factors ↔ prime by definition. Sufficient. Statement (2): odd - 9 is odd but not prime; 7 is odd and prime. Not sufficient. Answer is A.

Question 38Data interpretation, information sufficiency and source reasoning

A circular track has circumference C meters. Runners A and B start at the same point and run in the same direction. A runs at 8 m/s and B runs at 5 m/s. How long (in seconds) will it take for A to lap B? Statement (1): C = 600 meters Statement (2): B completes one lap in 120 seconds.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

Time to lap = C / (speed of A − speed of B) = C / (8−5) = C/3. Statement (1): C=600 → time = 200s. Sufficient. Statement (2): B's speed = C/120 = 5 m/s confirms C = 5×120 = 600m → time = 200s. Also sufficient. Answer is D.

Question 39Data interpretation, information sufficiency and source reasoning

If a and b are non-zero integers, is a/b an integer? Statement (1): a² is divisible by b. Statement (2): a is divisible by b².

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient. Correct answer.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

Statement (1): a²/b is integer. Counterexample: a=2, b=4: a²=4, 4/4=1 ✓ integer, but a/b=2/4=0.5 ✗. Not sufficient. Statement (2): a is divisible by b² means a=kb² for some integer k. Then a/b = kb²/b = kb, which is an integer. Sufficient. Answer is B.

Question 40Data interpretation, information sufficiency and source reasoning

Is n³ − n divisible by 6 for every positive integer n? Statement (1): n is divisible by 2. Statement (2): n is divisible by 3.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

n³ − n = n(n²−1) = n(n−1)(n+1), the product of three consecutive integers. Any three consecutive integers always include a multiple of 2 and a multiple of 3, so the product is always divisible by 6 - regardless of n. Both statements are irrelevant; the answer is always YES. Each statement is trivially sufficient. Answer is D.

Question 41Data interpretation, information sufficiency and source reasoning

A manager needs to form a team of exactly 2 people from candidates: Amy, Ben, Cal, and Dee. Constraints: - Amy and Ben cannot both be on the team. - If Cal is selected, Dee must also be selected. Which of the following is a valid team?

  1. Amy and Ben
  2. Cal and Amy
  3. Cal and Dee Correct answer.
  4. Ben and Cal

Explanation

Option A: Amy + Ben violates constraint 1. Option B: Cal + Amy - Cal selected but Dee not selected, violates constraint 2. Option C: Cal + Dee - constraint 2 satisfied (Cal selected, Dee selected). Constraint 1 not triggered (neither Amy nor Ben). Valid. Option D: Ben + Cal - Cal selected but Dee not selected, violates constraint 2.

Question 42Data interpretation, information sufficiency and source reasoning

A train travels 360 km at a constant speed. How long does the journey take? Statement (1): If the train went 20 km/h faster, the journey would take 1.5 hours less. Statement (2): The train's speed is a multiple of 30 km/h.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient. Correct answer.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient.

Explanation

Let speed = v km/h; time = 360/v. Statement (1): 360/v − 360/(v+20) = 1.5 → 360(v+20) − 360v = 1.5v(v+20) → 7200 = 1.5v² + 30v → v² + 20v − 4800 = 0 → (v+80)(v−60) = 0 → v=60 (positive). Time = 360/60 = 6 hours. Sufficient. Statement (2): v is a multiple of 30 - could be 30, 60, 90, etc. Not sufficient. Answer is A.

Question 43Data interpretation, information sufficiency and source reasoning

The following table shows the prices (in dollars) of five stocks at the open and close of trading on a given day. | Stock | Open | Close | |---|---|---| | ALPH | 42.50 | 45.80 | | BETA | 118.20 | 115.40 | | GAMM | 7.30 | 7.85 | | DELT | 89.00 | 92.50 | | EPSL | 55.60 | 54.20 | Which stock had the greatest percentage change in price (in absolute value) from open to close?

  1. ALPH Correct answer.
  2. BETA
  3. GAMM
  4. DELT

Explanation

Percentage changes (|close−open|/open): ALPH=3.30/42.50≈7.76%; BETA=2.80/118.20≈2.37%; GAMM=0.55/7.30≈7.53%; DELT=3.50/89.00≈3.93%; EPSL=1.40/55.60≈2.52%. ALPH has the greatest absolute percentage change at approximately 7.76%.

Question 44Data interpretation, information sufficiency and source reasoning

The following table shows annual production (thousands of tons) and export volume (thousands of tons) for five agricultural commodities in Country Z. | Commodity | Production | Exports | |---|---|---| | Wheat | 850 | 320 | | Corn | 620 | 180 | | Rice | 400 | 95 | | Soybeans | 510 | 290 | | Cotton | 210 | 175 | For which commodity does Country Z export the highest percentage of its production?

  1. Wheat
  2. Soybeans
  3. Cotton Correct answer.
  4. Rice

Explanation

Export percentages: Wheat=320/850≈37.6%; Corn=180/620≈29.0%; Rice=95/400=23.8%; Soybeans=290/510≈56.9%; Cotton=175/210≈83.3%. Cotton exports the highest percentage at approximately 83.3%.

Question 45Data interpretation, information sufficiency and source reasoning

The following table shows annual production (thousands of tons) and export volume (thousands of tons) for five agricultural commodities in Country Z. | Commodity | Production | Exports | |---|---|---| | Wheat | 850 | 320 | | Corn | 620 | 180 | | Rice | 400 | 95 | | Soybeans | 510 | 290 | | Cotton | 210 | 175 | If Country Z's domestic consumption = Production − Exports, which commodity has the greatest domestic consumption?

  1. Wheat Correct answer.
  2. Corn
  3. Rice
  4. Soybeans

Explanation

Domestic consumption: Wheat=850−320=530; Corn=620−180=440; Rice=400−95=305; Soybeans=510−290=220; Cotton=210−175=35. Wheat has the greatest domestic consumption at 530,000 tons.

Question 46Data interpretation, information sufficiency and source reasoning

What is the value of x + y, where x and y are integers? Statement (1): 2x + 3y = 17 Statement (2): 3x + 2y = 18

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient. Correct answer.
  4. Each statement alone is sufficient.

Explanation

Statement (1) alone: one equation, two unknowns - not sufficient. Statement (2) alone: same issue. Together: adding both equations: 5x + 5y = 35 → x + y = 7. Sufficient. Answer is C.

Question 47Data interpretation, information sufficiency and source reasoning

If t is a positive integer, is t² + t even? Statement (1): t is even. Statement (2): t is odd.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
  3. Both statements together are sufficient, but neither alone is sufficient.
  4. Each statement alone is sufficient. Correct answer.

Explanation

t² + t = t(t+1), the product of two consecutive integers. Consecutive integers always include one even number, so their product is always even - regardless of whether t is even or odd. Both statements are trivially sufficient (the answer is always YES). Answer is D.

Question 48Data interpretation, information sufficiency and source reasoning

A bar chart shows monthly rainfall (in mm) at two weather stations, Station A and Station B, over 6 months: Jan: A=40, B=55 | Feb: A=35, B=48 | Mar: A=60, B=52 | Apr: A=80, B=70 | May: A=95, B=88 | Jun: A=75, B=82 In how many months did Station A receive MORE rainfall than Station B?

  1. 1
  2. 2
  3. 3 Correct answer.
  4. 4

Explanation

Comparing each month: Jan: A=40 < B=55; Feb: A=35 < B=48; Mar: A=60 > B=52 ✓; Apr: A=80 > B=70 ✓; May: A=95 > B=88 ✓; Jun: A=75 < B=82. Station A exceeded Station B in 3 months (March, April, May).

Question 49Data interpretation, information sufficiency and source reasoning

Tab 1 - Project Specs: "Project Omega requires 3 engineers at $120/hour and 2 analysts at $90/hour. The project was originally expected to last 200 hours." Tab 2 - Budget: "The total budget is $90,000. A 10% contingency reserve is available if the project exceeds budget." Tab 3 - Schedule Update: "The project will now last 250 hours due to technical complexity." By how much does the expected cost at 250 hours EXCEED the available funds (budget + full contingency reserve)?

  1. $27,000
  2. $36,000 Correct answer.
  3. $45,000
  4. $54,000

Explanation

Hourly rate = 3×$120 + 2×$90 = $360 + $180 = $540/hr. Cost at 250 hrs = $540 × 250 = $135,000. Total available = $90,000 + $9,000 (10% contingency) = $99,000. Excess = $135,000 − $99,000 = $36,000.

Question 50Data interpretation, information sufficiency and source reasoning

A sports league has 6 teams. Current standings with one game remaining: A=28 pts, B=25 pts, C=22 pts, D=20 pts, E=18 pts, F=15 pts. The top 2 teams qualify for playoffs. A win adds 3 points; a loss adds 0 points. Team A will not play again. If Team C wins its final match AND Team B loses its final match, which statement best describes the final standings?

  1. A=28, B=25, C=25 - C ties B for 2nd place Correct answer.
  2. A=28, B=22, C=25 - C moves into sole 2nd place
  3. A=31, B=25, C=25 - A, B, and C all tied
  4. A=28, B=28, C=25 - B and A tied for 1st

Explanation

A doesn't play → A stays at 28. B loses → B stays at 25 (no point deduction). C wins → C = 22 + 3 = 25. Final: A=28, B=25, C=25. C ties B for 2nd place.