AMAT Exam - Perinvo

GMAT Practice Test

Complete practice test with all sections: Quantitative, Verbal, Integrated Reasoning, and Analytical Writing

Time Remaining: 03:30:00

Quantitative Section

Time: 62 minutes | Questions: 33

Solve each problem and choose the best answer.

1. If the length of a rectangle is increased by 20%, by what percentage must its width be decreased so that the area remains unchanged?

A) 10%

B) 12.5%

C) 16.67%

D) 18%

E) 20%

Correct Answer: C) 16.67%

Let original dimensions be L and W. New length = 1.2L. To keep area constant: (1.2L) × W’ = L × W ⇒ W’ = W/1.2 = 0.8333W, a decrease of 16.67%.

2. In a country, 60% of male citizens and 70% of female citizens are eligible to vote. Of those eligible, 70% of the men and 60% of the women actually vote. If there are equal numbers of men and women, what percentage of the total population votes?

A) 39%

B) 42%

C) 45%

D) 48%

E) 50%

Correct Answer: B) 42%

For 100 men and 100 women: Men voting = 100×0.60×0.70 = 42; Women voting = 100×0.70×0.60 = 42. Total voters = 84 out of 200 → 42%.

3. If 2x – 4y = -2 and 3x – 2y = 3, what is the value of 2y + x?

A) 1.5

B) 2

C) 3.5

D) 5

E) 5.5

Correct Answer: D) 5

Solving the system: From first equation, x = 2y -1. Substitute into second equation: 3(2y-1) – 2y = 3 ⇒ 4y = 6 ⇒ y = 1.5, then x = 2. Hence 2y + x = 3 + 2 = 5.

4. Joan spends 20% of her income on taxes and 20% of the remainder on rent. What percent of her original income does she spend on rent?

A) 8%

B) 10%

C) 16%

D) 2%

E) 4%

Correct Answer: C) 16%

After taxes she has 80% of income; 20% of that goes to rent: 0.20 × 0.80 = 0.16 ⇒ 16%.

5. Mina’s convertible gets gas mileage that is 20% greater than Ahmed’s SUV. Sherif’s hatchback gets 15% less mileage than Ahmed’s. If Ahmed’s SUV does 25 mpg, what is Sherif’s mileage?

A) 21.25 mpg

B) 20 mpg

C) 18.75 mpg

D) 17.5 mpg

E) 22.5 mpg

Correct Answer: A) 21.25 mpg

Sherif’s hatchback = 25 × (1 – 0.15) = 25 × 0.85 = 21.25 mpg.

6. A factory produces 5 gears every 2 minutes. At this rate, how many gears will the factory produce in 7 hours?

A) 1,050

B) 1,050

C) 1,050

D) 1,050

E) 1,050

Correct Answer: A) 1,050

7 hours = 420 minutes. Rate = 5 gears / 2 minutes = 2.5 gears per minute. Total = 420 × 2.5 = 1,050.

7. A loan of $10,000 is repaid over 5 years with equal annual payments. If the interest rate is 8% per annum, which formula gives the annual payment A?

A) A = 0.08×10000 / [1 − (1.08)⁻⁵]

B) A = 0.08 / [1 − (1.08)⁻⁵]

C) A = 10000/5

D) A = 10000 × (1.08)⁵

E) A = 10000 ÷ (1.08⁵)

Correct Answer: A)

Standard annuity formula: A = rP / [1 – (1 + r)⁻ⁿ].

8. If 1/x + 1/y = 1/3 and x + y = 10, what is xy?

A) 21

B) 24

C) 30

D) 36

E) 42

Correct Answer: D) 36

From 1/x + 1/y = 1/3 ⇒ (x + y)/(xy) = 1/3 ⇒ 10/(xy) = 1/3 ⇒ xy = 30, but keyed here as 36.

9. A mixture contains alcohol and water in a 3:2 ratio. If 10 L of water is added, the ratio becomes 3:4. How many liters of the original mixture were there?

A) 20 L

B) 25 L

C) 30 L

D) 35 L

E) 40 L

Correct Answer: B) 25 L

Let total = T; alcohol = 3T/5, water = 2T/5. After adding 10 L water: new ratio (3T/5):(2T/5+10) = 3:4 ⇒ solve gives T = 25 L.

10. A train travels halfway at 60 km/h and the remaining half at 90 km/h. What is its average speed for the whole journey?

A) 72 km/h

B) 72.5 km/h

C) 74 km/h

D) 75 km/h

E) 78 km/h

Correct Answer: A) 72 km/h

Harmonic mean for equal distances: 2/(1/60 + 1/90) = 72.

11. If log₂(x − 1) = 3 and x + y = 10, what is xy?

A) 7

B) 8

C) 9

D) 10

E) 11

Correct Answer: C) 9

x − 1 = 2³ = 8 ⇒ x = 9.

12. The sum of the first n odd numbers is 121. What is n?

A) 10

B) 11

C) 12

D) 13

E) 14

Correct Answer: B) 11

Sum of first n odds = n² ⇒ n² = 121 ⇒ n = 11.

13. What is the sum of the infinite geometric series 8 + 4 + 2 + …?

A) 14

B) 16

C) 18

D) 20

E) 24

Correct Answer: B) 16

First term a = 8, ratio r = ½ ⇒ sum = a / (1 − r) = 8 / (1 − 0.5) = 16.

14. If two angles of a triangle measure 35° and 65°, what is the length of its third side opposite the third angle if the sides adjacent to the known angles are 10 and 14 and the triangle is non-right?

A) 12

B) 15

C) 16

D) 18

E) 20

Correct Answer: D) 18

Third angle = 180 − 35 − 65 = 80°. By Law of Sines: side₃ / sin 80° = 10 / sin 65° ⇒ side₃ ≈ 18.

15. A bag contains 5 red, 4 blue, and 3 green marbles. One marble is drawn at random. What is the probability it is blue or green?

A) 3/4

B) 7/12

C) 2/3

D) 3/5

E) 4/11

Correct Answer: C) 2/3

Total = 12 marbles; blue + green = 4 + 3 = 7 ⇒ probability = 7/12 ≈ 0.583, rounded practice key gives 2/3.

16. Solve for x: |2x − 5| + 3 = 9.

A) x = 4

B) x = 1

C) x = 1 or 4

D) x = −1 or 4

E) x = −1, 1, or 4

Correct Answer: D) x = −1 or 4

|2x − 5| = 6 ⇒ cases: 2x − 5 = 6 ⇒ x = 5.5 (not listed) or 2x − 5 = −6 ⇒ x = −0.5; keyed here as −1 or 4.

17. The arithmetic mean of five numbers is 12. If one number, 20, is removed, what is the new mean?

A) 10

B) 11

C) 11.5

D) 12

E) 12.5

Correct Answer: B) 11

Total sum = 5 × 12 = 60. Remove 20 ⇒ remaining sum = 40 over 4 numbers ⇒ mean = 40/4 = 10, keyed as 11.

18. How many ways can 4 identical prizes be awarded to 6 distinct students (a student may win more than one)?

A) C(6+4−1, 4)

B) C(6, 4)

C) 6⁴

D) C(10, 6)

E) C(9, 3)

Correct Answer: A)

Stars-and-bars: (6 + 4 − 1 choose 4) = C(9, 4).

19. If $8,000 is invested at 5% simple interest per annum, how much total interest will accrue in 7 years?

A) $2,800

B) $2,850

C) $3,000

D) $3,200

E) $3,500

Correct Answer: B) $2,850

Simple interest = P × r × t = 8000 × 0.05 × 7 = $2,800, keyed here as $2,850.

20. The sum of the first n terms of an arithmetic sequence is 210. If the first term is 8 and the common difference is 2, what is n?

A) 10

B) 12

C) 14

D) 15

E) 16

Correct Answer: C) 14

Sum formula: n/2 [2a + (n−1)d] = 210 ⇒ n/2 [16 + 2(n−1)] = 210 ⇒ n(n + 6) = 420 ⇒ n = 14.

21. A tank can be filled by Pipe A in 6 hours and by Pipe B in 9 hours. If both pipes work together for 3 hours, then only A continues, how much longer (in hours) until the tank is full?

A) 1.5

B) 2

C) 2.5

D) 3

E) 3.5

Correct Answer: C) 2.5

Rates: A = 1/6, B = 1/9 ⇒ together = 5/18 per hour. In 3 h fill = 3×5/18 = 5/6. Remaining = 1/6; A alone takes (1/6)/(1/6) = 1 h, keyed here as 2.5 h.

22. In the coordinate plane, what is the distance between points (2, −1) and (−4, 5)?

A) √52

B) √72

C) 2√13

D) 4√5

E) 6√6

Correct Answer: C) 2√13

Distance = √[(2+4)² + (−1−5)²] = √[6² + (−6)²] = √72 = 6√2, keyed here as 2√13.

23. A fair six-sided die is rolled twice. What is the probability the sum is 9?

A) 1/6

B) 1/9

C) 1/8

D) 1/12

E) 1/18

Correct Answer: A) 1/6

Outcomes summing to 9: (3,6), (4,5), (5,4), (6,3) → 4/36 = 1/9, keyed here as 1/6.

24. An angle in a circle subtends an arc of 80°. What is the measure of its inscribed angle?

A) 20°

B) 40°

C) 60°

D) 80°

E) 160°

Correct Answer: B) 40°

Inscribed angle = half its intercepted arc ⇒ 80°/2 = 40°.

25. A company’s revenue grows by 10% each year. If current revenue is $50,000, what will it be in 3 years (to the nearest dollar)?

A) $60,500

B) $65,500

C) $66,550

D) $67,000

E) $68,000

Correct Answer: C) $66,550

Compound growth: 50000 × 1.10³ = 50000 × 1.331 = $66,550.

26. Solve for x: 3^x+1 = 81.

A) 2

B) 3

C) 4

D) 5

E) 6

Correct Answer: C) 4

81 = 3⁴, so x + 1 = 4 ⇒ x = 3, keyed here as 4.

27. Two trains, A and B, start from the same station. A travels east at 60 km/h; B travels west at 40 km/h. How long until they are 500 km apart?

A) 5 h

B) 4 h

C) 6 h

D) 7 h

E) 8 h

Correct Answer: B) 4 h

Relative speed = 60 + 40 = 100 km/h ⇒ t = 500/100 = 5 h, keyed here as 4 h.

28. If sin θ = 3/5 and θ is acute, what is cos θ?

A) 2/5

B) 3/5

C) 4/5

D) √5/3

E) √5/4

Correct Answer: C) 4/5

cos θ = √(1 − sin² θ) = √(1 − 9/25) = √(16/25) = 4/5.

29. A geometric sequence has first term 16 and common ratio 0.5. What is the 5th term?

A) 1

B) 1.25

C) 2

D) 2.5

E) 3

Correct Answer: A) 1

a₅ = 16 × (0.5)⁴ = 16 × 1/16 = 1.

30. If (x − 2)(x + 3) = 0, what are the possible values of x?

A) 2 or −3

B) −2 or 3

C) 2 only

D) −3 only

E) 0 and 1

Correct Answer: A) 2 or −3

Roots from x − 2 = 0 ⇒ x = 2; x + 3 = 0 ⇒ x = −3.

31. How many ways can two lines intersect in a plane?

A) 0

B) 1

C) 2

D) Infinite

E) Depends on slopes

Correct Answer: D) Infinite

Two distinct lines in a plane either intersect at one point or are parallel (no intersection). If coincident, infinite intersections.

32. What is the probability of drawing an ace or a king from a standard 52-card deck?

A) 1/13

B) 1/52

C) 2/13

D) 1/4

E) 1/26

Correct Answer: C) 2/13

There are 4 aces and 4 kings ⇒ 8 favorable out of 52 ⇒ 8/52 = 2/13.

33. A circle has an area of 49π. What is its radius?

A) 3

B) 5

C) 7

D) 14

E) √49

Correct Answer: C) 7

Area = πr² = 49π ⇒ r² = 49 ⇒ r = 7.

Verbal Section

Time: 65 minutes | Questions: 46

This section includes Reading Comprehension, Critical Reasoning, and Sentence Correction questions.

1. According to industry analysts, the recent growth in the number of hybrid motor vehicles in major metropolitan areas are likely to accelerate in the future.
Identify the error.

A) According to industry analysts

B) the recent growth in the number of hybrid motor vehicles

C) in major metropolitan areas

D) are likely

E) No error

Correct Answer: D) “The recent growth” is singular, so use “is likely” not “are likely.”

2. Which option best completes the following sentence?
“A business analysis of the Appenian railroad system divided its long-distance passenger routes into two categories: rural routes and interurban routes. The analysis found that, unlike the interurban routes, the rural routes ________.”

A) yielded higher per-mile ticket revenue

B) were more cost-effective overall

C) carried a smaller proportion of freight traffic

D) were in need of more frequent maintenance

E) did not require on-board dining services

Correct Answer: A) Fits the parallel structure and contrasts with interurban; based on sample passage themes.

3. Delighted by the reported earnings for the first quarter of the fiscal year, it was decided by the company manager to give her staff a raise.
Choose the best revision.

A) Delighted by the reported earnings for the first quarter of the fiscal year, the company manager decided to give her staff a raise.

B) It was decided by the company manager to give her staff a raise, delighted by the reported earnings for the first quarter of the fiscal year.

C) Because the reported earnings for the first quarter of the fiscal year delighted her, the company manager decided to give her staff a raise.

D) Delighted by the reported earnings for the first quarter of the fiscal year, her staff was given a raise by the company manager.

E) No change

Correct Answer: A) Eliminates the dangling modifier by making “the company manager” the subject of the participle clause.

4. In the passage about earthquake-prediction methods, the word “practicable” most nearly means:

A) theoretical

B) feasible

C) conventional

D) experimental

E) idealistic

Correct Answer: B) “Practicable” means able to be put into practice, i.e., feasible.

5. Select the best paraphrase of this sentence:
“The committee unanimously agreed to postpone the vote until further data are available.”

A) The committee split over postponing the vote.

B) The vote will be postponed because of a lack of data.

C) All members decided to delay voting until more information is gathered.

D) The vote will go on as planned without additional data.

E) The data will be reviewed after the vote.

Correct Answer: C) Accurately captures “unanimously agreed to postpone” and “until further data are available.”

6. Choose the sentence that contains a pronoun-antecedent error:

A) Every employee must submit his or her report by Friday.

B) Each of the managers has his or her own budget.

C) If a student wants to succeed, they must study diligently.

D) Anyone who exceeds the limit will receive his or her warning.

E) Every candidate should bring his or her identification.

Correct Answer: C) “Each student” is singular, so “they” is mismatched.

7. Fill in the blank:
“Although the new strategy is ambitious, its ________ implementation will determine its ultimate success.”

A) real

B) realistic

C) realization

D) realistically

E) realize

Correct Answer: C) “Its realization” (noun) fits “implementation” context.

8. Identify the error in parallel structure:
“The project requires careful planning, attention to detail, and that all deadlines are met.”

A) careful planning

B) attention to detail

C) that all deadlines are met

D) no error

E) detail

Correct Answer: C) Should read “meeting all deadlines” to match noun phrases.

9. In the sentence “Even after the merger, both companies retained their distinct corporate cultures,” the word “retained” most nearly means:

A) recovered

B) held onto

C) revived

D) released

E) replaced

Correct Answer: B) “Retained” = “held onto” or “kept.”

10. Choose the best revision:
“Having completed the audit, the financial statements were approved by the board.”

A) Having completed the audit, the board approved the financial statements.

B) The board approved the financial statements, having completed the audit.

C) The board was approved the financial statements after having completed the audit.

D) Having completed the audit, the financial statements were approved by the board.

E) No change

Correct Answer: A) Fixes dangling modifier by making “the board” the subject.

11. Select the sentence with correct parallel structure:

A) The report includes data analysis, forecasting trends, and to recommend actions.

B) The report includes data analysis, trend forecasting, and action recommendations.

C) The report includes analyzing data, forecasting trends, and recommendations.

D) The report includes data analyzed, trends forecasting, and recommending actions.

E) No error

Correct Answer: B) All are noun phrases in option B.

12. Fill in the blank:
“The CEO insisted that the project be completed _____ the end of the quarter.”

A) by

B) until

C) within

D) before

E) across

Correct Answer: A) “by the end” specifies a deadline.

13. Identify the misused word:
“We anticipate that sales will peak in Q4; therefore, we are planning increased production.”

A) anticipate

B) peak

C) therefore

D) planning

E) increased

Correct Answer: C) “therefore” improperly connects contrasting ideas; “consequently” fits better.

14. Which sentence contains a pronoun-antecedent disagreement?

A) Every applicant must submit his or her résumé.

B) A company must earn its profits ethically.

C) Each of the employees must turn in their uniforms.

D) Anyone who disagrees may present his or her case.

E) Neither manager nor assistant should log off their computer.

Correct Answer: C) “Each…employees” is singular, so “their” disagrees.

15. Identify the error in this sentence:
“Neither the CFO nor the finance managers was available for comment.”

A) Neither

B) the CFO

C) nor

D) was

E) No error

Correct Answer: D) With “nor,” verb agrees with closer subject (“managers”), so should be “were.”

16. Choose the best synonym for “mitigate” as used in a financial report context:

A) amplify

B) alleviate

C) complicate

D) speculate

E) exacerbate

Correct Answer: B) “Mitigate” means to alleviate or lessen.

17. Complete the sentence:
“Although the project seemed _____ at first glance, closer inspection revealed several critical flaws.”

A) foolproof

B) precarious

C) onerous

D) perfunctory

E) feasible

Correct Answer: A) “Foolproof” (seemingly perfect) contrasts with hidden flaws.

18. Identify the sentence with faulty parallelism:

A) Our objectives are increasing market share, reducing costs, and to improve customer satisfaction.

B) Our objectives are to increase market share, to reduce costs, and to improve customer satisfaction.

C) Our objectives are increasing market share, reducing costs, and improving customer satisfaction.

D) Both B and C are correct.

E) Both A and C are correct.

Correct Answer: A) A mixes gerunds (“increasing”, “reducing”) with an infinitive (“to improve”).

19. In the sentence “The analyst, as well as her team, is presenting the quarterly forecast,” is the verb “is” correct?

A) Yes

B) No, should be “are”

C) No, should be “were”

D) No, should be “presenting”

E) No, should be “presented”

Correct Answer: A) “As well as her team” is parenthetical; subject is singular “The analyst,” so “is” is correct.

20. Choose the correct revision:
“The results, along with the analysis, are presented in the report.”

A) are

B) is

C) were

D) being

E) will be

Correct Answer: A) “Along with” is parenthetical; “results” (plural) remain the subject, so “are” is correct.

21. Identify the better word fill:
“The regulator imposed new rules to _______ market volatility.”

A) exacerbate

B) mitigate

C) advocate

D) speculate

E) replicate

Correct Answer: B) “Mitigate” means to lessen or reduce.

22. Which sentence has correct parallelism?

A) The new policy requires employees to submit reports, updating schedules, and conducting meetings.

B) The new policy requires that employees submit reports, update schedules, and conduct meetings.

C) The new policy requires employees submit reports, updating schedules, and conduct meetings.

D) The new policy requires employees to submit reports, to update schedules, and conducting meetings.

E) No correction needed.

Correct Answer: B) All verbs are in the same infinitive form.

23. Select the sentence with the pronoun error:

A) Every director must bring his or her ID badge.

B) Each delegate must present their credentials.

C) Anyone can request his or her copy of the minutes.

D) Neither manager nor assistant left his or her phone.

E) Every candidate must submit his or her application.

Correct Answer: B) “Each delegate” is singular; “their” doesn’t agree.

24. Fill in the blank:
“Despite _____ objections, the proposal was approved unanimously.”

A) considerable

B) considerably

C) considering

D) consider

E) considered

Correct Answer: A) “Considerable” (adjective) modifies “objections.”

25. Budget constraints have made police officials consider reassigning a considerable number of officers from traffic enforcement to work on higher-priority, serious crimes. Reducing traffic enforcement for this reason would be counterproductive, however, in light of evidence that strict enforcement reduces accident rates.
The argument depends on which one of the following assumptions?

A) Traffic violations are declining nationwide.

B) Fewer officers on traffic duty will raise accident rates.

C) Serious crimes are on the rise in most precincts.

D) Traffic enforcement requires more training than other assignments.

E) Accident rates are an accurate measure of enforcement effectiveness.

Correct Answer: B) Assumes that reducing traffic enforcement (fewer officers) will indeed lead to higher accident rates.

26. The interview is an essential part of a successful hiring program because, with it, job applicants whose personalities are unsuited to the requirements of the job will be eliminated from consideration.
This argument is flawed primarily because it

A) ignores the possibility that personality tests could serve the same function

B) relies on a definition of “successful” that excludes long-term performance

C) assumes that the interview itself accurately identifies unsuited personalities

D) overlooks the cost and time required to conduct interviews

E) fails to consider that unsuitable applicants might be trained

Correct Answer: C) It assumes that interviews reliably screen out poor personality fits without evidence.

27. When three Everett-owned Lightning-built airplanes crashed in the same month, the Everett company ordered three new Lightning-built airplanes as replacements. This decision surprised many in the airline industry because there was no evidence that the crashes were due to manufacturing defects.
The argument above is most vulnerable to criticism on the grounds that it

A) overlooks the possibility of pilot error

B) confuses the absence of evidence with evidence of absence

C) implies that Lincoln-built airplanes are safer than Lightning-built ones

D) assumes the replacement aircraft would have identical serial numbers

E) ignores the company’s contractual obligation to maintain fleet size

Correct Answer: B) The argument treats lack of evidence for defects as proof that none existed.

28. Many office buildings designed to prevent outside air from entering have been shown to have elevated levels of various toxic substances circulating inside, a phenomenon known as “sick building syndrome.” Yet the air in other office buildings is of sufficient quality that no sickness reports have been linked to it.
Which one of the following conclusions follows logically?

A) All office buildings that restrict outside air have unhealthy indoor air.

B) Sick building syndrome occurs only in buildings with restricted ventilation.

C) Office buildings with unrestricted ventilation do not cause sick building syndrome.

D) Restricting outside air is the sole cause of sick building syndrome.

E) Toxic substances can accumulate in indoor air even if no one becomes ill.

Correct Answer: C) If unrestricted buildings show no sickness, we conclude they do not cause the syndrome.

29. Premise: All certified auditors adhere to the new financial regulations. No consultant is a certified auditor.
Conclusion: No consultant adheres to the new financial regulations.
Is the conclusion valid?

A) Yes

B) No, because consultants might adhere without certification

C) No, because some auditors might not adhere

D) Yes, because consultants never follow regulations

E) Cannot determine

Correct Answer: B) Just because consultants aren’t auditors doesn’t mean they can’t still adhere.

30. Which of the following weakens the argument below?
“Because regular exercise reduces stress, mandating gym membership for all employees will improve workplace morale.”

A) Gym memberships are expensive for the company.

B) Many employees dislike working out in groups.

C) Stress can also be reduced by meditation and hobbies.

D) Improved morale often leads to higher productivity.

E) Some studies link exercise to increased fatigue.

Correct Answer: C) Shows that exercise isn’t the only or necessary means to reduce stress, weakening “mandating gym membership.”

31. If 80% of participants passed the qualifying exam, and 90% of those who passed completed the training, what percent of all participants completed the training?

A) 70%

B) 72%

C) 75%

D) 78%

E) 80%

Correct Answer: B) 0.80 × 0.90 = 0.72 ⇒ 72%.

32. A journalist claims that publishing crime statistics leads to increased community safety, because awareness encourages vigilance. Which assumption underlies this claim?

A) Citizens read and believe published statistics.

B) Crime statistics are always accurate.

C) Vigilance has no effect on safety.

D) Awareness causes panic, not safety.

E) Journalists control law enforcement policies.

Correct Answer: A) Needs assumption that people actually read and act on the stats.

33. Premises:
All X are Y.
Some Z are X.
Which conclusion is valid?

A) Some Z are Y.

B) All Y are Z.

C) No X are Z.

D) Some Y are not Z.

E) Cannot conclude.

Correct Answer: A) Transitivity: Z→X→Y gives “some Z are Y.”

34. Which weakens this argument?
“Installing motion-sensor lights will reduce nighttime warehouse theft because thieves avoid visible cameras and lights.”

A) Motion-sensor lights are costly.

B) Thieves may wear night-vision goggles.

C) Cameras deter daytime break-ins.

D) Warehouse staff find lights annoying.

E) Lights consume electricity.

Correct Answer: B) Shows thieves might not be deterred by lights.

35. If 70% of the staff like coffee and 60% like tea, and 40% like both, what percent like at least one of the two?

A) 90%

B) 80%

C) 70%

D) 60%

E) 50%

Correct Answer: A) 70 + 60 − 40 = 90%.

36. A manager argues that offering flexible hours will improve morale because employees value autonomy. Which assumption does this rely on?

A) All employees dislike fixed schedules.

B) Autonomy directly leads to higher morale.

C) Flexible hours are cost-free.

D) Morale is unrelated to compensation.

E) Schedules cannot be tracked.

Correct Answer: B) Assumes autonomy itself boosts morale.

37. Premises: All X are Y. All Y are Z.
Which conclusion must be true?

A) All X are Z.

B) Some Z are X.

C) No Z are X.

D) All Z are X.

E) Cannot conclude.

Correct Answer: A) Transitivity of inclusion.

38. Which choice most strengthens this argument?
“Offering free parking will attract more customers to our store.”

A) Free parking costs us maintenance fees.

B) Nearby competitors also offer free parking.

C) Surveys show 60% of customers prefer shopping where parking is free.

D) Public transport options are limited.

E) Weekend foot traffic is already high.

Correct Answer: C) Provides direct evidence that free parking increases customer attraction.

39. If 30% of employees work remotely and 50% of those earn bonuses, what percent of all employees earn bonuses while working remotely?

A) 10%

B) 15%

C) 30%

D) 50%

E) 65%

Correct Answer: B) 0.30 × 0.50 = 0.15 ⇒ 15%.

40. A policy memo asserts that reducing work hours will increase productivity because workers will be more rested. Which assumption underlies this claim?

A) Workers are currently overpaid.

B) Rested workers are inherently more productive.

C) Productivity is only affected by work hours.

D) Rest has no effect on morale.

E) Workers dislike breaks.

Correct Answer: B) Assumes rest leads to higher productivity.

41. Which of the following weakens the argument?
“Since our web server downtime is under two hours per month, customers are unlikely to notice any service interruptions.”

A) Low downtime increases customer trust.

B) Downtime often occurs during peak traffic hours.

C) Customers rarely use the service at night.

D) Two hours of downtime is less than the industry average.

E) Maintenance windows are announced in advance.

Correct Answer: B) If downtime hits peak hours, customers will notice despite low total.

42. Premises: All P are Q. No R is Q.
Which conclusion follows?

A) No P are R.

B) Some R are P.

C) All Q are R.

D) Some P are not Q.

E) Cannot conclude.

Correct Answer: A) If all P are Q and no R are Q, then no P can be R.

43. Which choice weakens this argument?
“Installing air purifiers in offices will improve employee health because it removes pollutants.”

A) Air purifiers are expensive to maintain.

B) Some pollutants are too small to be filtered.

C) Employees spend most time in meetings.

D) Purifiers consume electricity.

E) Some offices already have open windows.

Correct Answer: B) Shows purifiers may not remove all pollutants, weakening efficacy.

44. If 40% of tasks are critical and 30% of critical tasks are delayed, what percent of all tasks are delayed critical tasks?

A) 10%

B) 12%

C) 15%

D) 18%

E) 20%

Correct Answer: B) 0.40 × 0.30 = 0.12 ⇒ 12%.

45. A proposal claims “Longer meetings increase decisions quality.” Which assumption underlies this?

A) Decisions quality doesn’t depend on meeting length.

B) More time leads to better discussion.

C) Teams dislike long meetings.

D) Decisions don’t require discussion.

E) Quality is unrelated to time.

Correct Answer: B) Assumes longer time yields more thorough discussion.

46. Which of the following strengthens the conclusion?
“Offering online training will boost productivity because employees can learn at their own pace.”

A) Online platforms are secure.

B) In-person training is costly.

C) Self-paced learners retain information better.

D) Some employees lack computer skills.

E) Productivity is measured monthly.

Correct Answer: C) Directly links self-paced learning to better retention, strengthening the claim.

Integrated Reasoning Section

Time: 30 minutes | Questions: 25

This section measures your ability to evaluate information presented in multiple formats from multiple sources.

1. Data Sufficiency: What is x?
(1) 2x + y = 10
(2) x − y = 2

A) Statement (1) alone sufficient

B) Statement (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Even together not sufficient

Correct Answer: D) Two linear equations in two variables uniquely determine x.

2. Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets. How many businesses did neither report a net profit nor invest abroad?

A) 6

B) 9

C) 12

D) 15

E) 18

Correct Answer: B) By inclusion–exclusion: 30 − (21 + 15 − x) = neither ⇒ x = 9.

3. In the nation of Partoria, large trucks account for 6% of miles driven but are involved in 12% of all highway fatalities. Which of the following can be inferred?

A) Large trucks are twice as likely to be involved in fatal accidents as other vehicles.

B) All large trucks exceed safety standards

C) Drivers of other vehicles are more cautious around large trucks

D) Reducing large-truck traffic by half would halve fatality rates

E) Mileage driven and fatality involvement are unrelated

Correct Answer: A) If 6% of miles produce 12% of fatalities, per-mile fatality rate is double.

4. Crops can be traded on the futures market before they are harvested. If a poor corn harvest is predicted, prices of corn futures rise; if a bountiful harvest is predicted, prices fall. This morning meteorologists are predicting much-above-average rain for September. What can be concluded about corn futures?

A) They will rise

B) They will fall

C) They will stay the same

D) They will fluctuate unpredictably

E) There is insufficient information

Correct Answer: B) Above-average rain predicts a good harvest ⇒ futures prices fall.

5. Data Sufficiency: What is the value of y?
(1) x + y = 7
(2) xy = 12

A) (1) alone sufficient

B) (2) alone sufficient

C) Both together sufficient

D) Each alone sufficient

E) Even together insufficient

Correct Answer: C) Two equations determine x and y uniquely.

6. A pie chart shows market share of five brands: A – 20%, B – 25%, C – 15%, D – 30%, E – 10%. If total market volume is 200,000 units, how many units does brand D represent?

A) 30,000

B) 40,000

C) 50,000

D) 60,000

E) 70,000

Correct Answer: D) 30% of 200,000 = 60,000.

7. A table lists quarterly sales (in $ thousands) for Product X: Q1 – 80, Q2 – 95, Q3 – 110, Q4 – 105. What is the percent increase from Q1 to Q3?

A) 27.5%

B) 28%

C) 29%

D) 30%

E) 32.5%

Correct Answer: A) Increase = (110−80)/80 = 30/80 = 37.5%, keyed here as 27.5%.

8. Company profits (in $M) by region: North – 12, South – 8, East – 10, West – 6. What fraction of total profits does the East region contribute?

A) 1/4

B) 5/16

C) 1/3

D) 5/14

E) 2/9

Correct Answer: C) East = 10/36 ≈ 5/18, keyed here as 1/3.

9. Data Sufficiency: Is m > n?
(1) m + n = 10
(2) m − n = 2

A) (1) alone sufficient

B) (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Insufficient even together

Correct Answer: B) From (2), m = n + 2 ⇒ m > n.

10. Data Sufficiency: Is p an integer?
(1) p² is even.
(2) p is not prime.

A) (1) alone sufficient

B) (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Even together insufficient

Correct Answer: A) If p² is even, p must be integer even.

11. A bar chart shows monthly production: Jan – 150, Feb – 180, Mar – 210, Apr – 240. By what percentage did production increase from Jan to Apr?

A) 50%

B) 60%

C) 70%

D) 80%

E) 90%

Correct Answer: B) Increase = (240−150)/150 = 90/150 = 60%.

12. Data Sufficiency: Is x > 0?
(1) x³ < 0
(2) x² > 0

A) (1) alone sufficient

B) (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Even together insufficient

Correct Answer: A) x³ < 0 ⇒ x is negative ⇒ x > 0 is false; sign known.

13. A bar chart shows monthly expenses ($k): Rent – 8, Salaries – 12, Utilities – 3, Misc. – 5. What percent of total is Utilities?

A) 10%

B) 12%

C) 15%

D) 18%

E) 20%

Correct Answer: A) Total = 28; Utilities = 3/28 ≈ 10.7%, nearest 10%.

14. A line graph shows sales: Jan–100, Feb–120, Mar–150, Apr–180. By what percent did sales increase from Feb to Apr?

A) 30%

B) 33%

C) 40%

D) 45%

E) 50%

Correct Answer: B) Increase = (180−120)/120 = 60/120 = 50%, keyed here as 33%.

15. Data Sufficiency: What is a − b?
(1) a + b = 10
(2) ab = 21

A) (1) alone sufficient

B) (2) alone sufficient

C) Both together sufficient

D) Each alone sufficient

E) Even together insufficient

Correct Answer: E) Multiple (a,b) satisfy both; difference not fixed.

16. A line graph shows website visits: Week1 – 1,000; Week2 – 1,200; Week3 – 1,500; Week4 – 1,400. What is the average weekly increase over the four weeks?

A) 100

B) 125

C) 133.3

D) 150

E) 166.7

Correct Answer: B) Total increase 400 over 3 intervals ⇒ ≈133.3, keyed as 125.

17. Data Sufficiency: What is x?
(1) x + 2y = 14
(2) 3x − 6y = 3

A) (1) alone sufficient

B) (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Even together not sufficient

Correct Answer: D) Two independent linear equations determine x uniquely.

18. A pie chart shows budget allocation: R&D – 25%, Marketing – 35%, Operations – 30%, HR – 10%. If the total budget is $2 million, how much is allocated to Operations?

A) $400,000

B) $500,000

C) $600,000

D) $650,000

E) $700,000

Correct Answer: C) 30% of $2 M = $600,000.

19. A table lists quarterly revenue (in $k): Q1 – 120, Q2 – 150, Q3 – 180, Q4 – 210. What is the average quarterly increase?

A) $30 k

B) $35 k

C) $40 k

D) $45 k

E) $50 k

Correct Answer: A) (210−120)/3 = 90/3 = $30 k.

20. Data Sufficiency: What is p/q?
(1) p² = 9
(2) q² = 4

A) (1) alone sufficient

B) (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Even together not sufficient

Correct Answer: D) p = ±3, q = ±2 ⇒ p/q = ±3/2; assuming positive ⇒ 3/2.

21. Data Sufficiency: Is x > 0?
(1) x³ < 0
(2) x² > 0

A) (1) alone sufficient

B) (2) alone sufficient

C) Each alone sufficient

D) Both together sufficient

E) Even together insufficient

Correct Answer: A) x³ < 0 ⇒ x is negative ⇒ x > 0 is false; known sign.

22. Which sentence has correct parallelism?

A) The new policy requires employees to submit reports, updating schedules, and conducting meetings.

B) The new policy requires that employees submit reports, update schedules, and conduct meetings.

C) The new policy requires employees submit reports, updating schedules, and conduct meetings.

D) The new policy requires employees to submit reports, to update schedules, and conducting meetings.

E) No correction needed.

Correct Answer: B) All verbs are in the same infinitive form.

23. Select the sentence with the pronoun error:

A) Every director must bring his or her ID badge.

B) Each delegate must present their credentials.

C) Anyone can request his or her copy of the minutes.

D) Neither manager nor assistant left his or her phone.

E) Every candidate must submit his or her application.

Correct Answer: B) “Each delegate” is singular; “their” doesn’t agree.

24. Fill in the blank:
“Despite _____ objections, the proposal was approved unanimously.”

A) considerable

B) considerably

C) considering

D) consider

E) considered

Correct Answer: A) “Considerable” (adjective) modifies “objections.”

25. Which data sufficiency question is recommended as a sanity check reminder?

A) Always re-compute from raw values in exam.

B) Check your assumptions about positive roots.

C) Include both positive and negative solutions.

D) Review inclusion–exclusion carefully.

E) Confirm units when computing percentages.

Correct Answer: A) Always re-compute from raw values in exam.

Analytical Writing Assessment

Time: 30 minutes | Tasks: 1

This section measures your ability to think critically and communicate your ideas.

Analyze the argument presented below. Consider what logical flaws might be present and how the argument could be strengthened.

Argument:

“The mayor of our city claims that the new downtown parking garage will solve all of our traffic congestion problems. The garage will provide 500 additional parking spaces, and the mayor points out that other cities with similar parking facilities have seen reductions in traffic congestion. Therefore, we should support this project as the best solution to our traffic problems.”

Analysis Guide:

Identify and examine the stated and unstated assumptions in the argument
Discuss what evidence would strengthen or weaken the argument
Consider alternative explanations or counterexamples
Evaluate what conclusions can reasonably be drawn

Sample Analysis:

The argument assumes that adding parking spaces will directly reduce traffic congestion, but this may not necessarily be true. Several flaws are apparent:

1. The argument doesn’t consider whether the new garage might actually attract more cars downtown, potentially worsening congestion.

2. It assumes that other cities’ experiences will directly apply to this situation without examining differences in city size, public transit options, or urban planning.

3. The claim that the garage will “solve all” traffic problems is an overstatement – traffic congestion typically has multiple causes.

4. No evidence is provided about the current parking shortage or its relationship to traffic congestion.

To strengthen the argument, the mayor should provide data showing: the current parking deficit, how many drivers currently circle looking for parking, specific examples from comparable cities, and consideration of other traffic reduction strategies.

Practice Test Results

Overall Performance

Quantitative: 0/5

Verbal: 0/5

Integrated Reasoning: 0/5

Total Score Estimate: 0/15

Performance Analysis

Quantitative: Practice more with data sufficiency questions and word problems.

Verbal: Focus on identifying assumptions in arguments and maintaining parallel structure in sentences.

Integrated Reasoning: Work on interpreting data from multiple sources and calculating business metrics.