Aptitude Test 3

Question 1 of 30

A security system requires six-character passcodes using the uppercase letters A through J inclusive, with no letter repeated; codes cannot begin with A or B. How many unique passcodes can the system generate?

A. 151,200

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B. 75,600

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C. 60,480

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D. 604,800

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Question 2 of 30

What is $6^4 + 3^3$ ?

A. 1299

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B. 1320

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C. 1323

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D. 1332

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Question 3 of 30

A restaurant bill was $92.40 and you left a tip of $17.28; what percentage tip did you leave to the nearest tenth of a percent?

A. 18.0%

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B. 18.7%

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C. 19.3%

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D. 17.8%

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Question 4 of 30

Uma’s express train commute takes 20% less time than her local train commute, and a one-way express trip lasts 48 minutes; how many minutes will her roundtrip take if she travels by local train both ways?

A. 110.4

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B. 112.8

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C. 115.2

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D. 118.8

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Question 5 of 30

What is to the nearest thousandth?

A. 158.505

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B. 158.506

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C. 158.504

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D. 158.515

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Question 6 of 30

Read the passage and identify spelling mistakes in the given sentences.

Passage:

(1) The laboratory assistants prepared the reagents meticulously before the experiment began.
(2) They measurred the soloution using a calibrated pipette; accuracy was paramount.
(3) Despite their care, some of the samples conatined unforeseen impurities.
(4) At the conclussion of the test the principal investigator commended the team on their proficciency and colaboration.

How many misspelled words are in sentence 4?

A. 2

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B. 3

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C. 4

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D. 1

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Question 7 of 30

If Ellen is $x$ years old and her older sister’s age is given by the expression , what is the ratio of Ellen’s age to her sister’s age when ?

A. 276:63

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B. 21:92

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C. 92:21

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D. 84:23

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Question 8 of 30

What is ?

A. 20

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B. 21

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C. 22

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D. 24

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Question 9 of 30

Below is a table showing original and copied serial codes. Count how many discrepancies appear in the third row of the copied data.

Original Data	Copied Data
1. VtG58KqR2p	VtG58KqR2p
2. BmN3Tz4XyW2	BmN3Tz4XyW2
3. PqR7Lm3SvX9	PqR7lM3sVX9
4. ZxC9Vb1NmK8	ZxC9Vb1NmK8
5. HnJ2Lp5QrT6	HnJ2Lp5QrT6

A. 2

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B. 3

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C. 4

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D. 5

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E. 6

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Question 10 of 30

Despite the celebratory atmosphere, Maria was conspicuously _________, reflecting on the day’s events in solemn introspection.

A. Pensive

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B. Ebullient

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C. Moribund

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D. Obstreperous

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Question 11 of 30

In a 7-day week, rainfall was recorded only on Tuesday, Thursday and Saturday : 8.7 mm, 12.3 mm and 9.5 mm respectively; what was the average rainfall per day for that week, rounded to the nearest tenth of a millimeter?

A. 4.2 mm

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B. 4.4 mm

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C. 4.6 mm

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D. 5.0 mm

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Question 12 of 30

What is 7³ × 5²?

A. 8,575

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B. 8,875

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C. 9,075

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D. 8,375

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Question 13 of 30

Complete the series:
2, 5, 10, 17, 26, 37, __

A. 48

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B. 49

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C. 50

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D. 51

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E. 32

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Question 14 of 30

Complete the series:
2, 6, 30, 210, 2 310, ____

A. 30030

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B. 26334

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C. 30003

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E. 31500

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Question 15 of 30

What is 12.345 expressed as an improper fraction in simplest form?

A. 2469/200

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B. 12345/1000

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C. 823/200

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D. 247/20

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Question 16 of 30

Eliza bought a sofa during two consecutive sales: first it was marked down by 25%, then an additional 10% off the reduced price applied, and she paid $540; what was the sofa’s original price?

A. $720

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B. $800

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C. $600

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D. $750

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Question 17 of 30

If and , what is ?

A. 39

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B. 41

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C. 43

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D. 45

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Question 18 of 30

A

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B

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C

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D

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Question 19 of 30

What is

A. 0.126293

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B. 0.0126293

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C. 1.26293

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D. 0.12963

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Question 20 of 30

An exam comprises 8 multiple-choice questions and 12 short-answer questions, and it’s scored out of 84 points. Each short-answer question is worth twice as much as each multiple-choice question. If a student scores 100% by answering every question correctly, what is the point value of one multiple-choice question?

A. 2.5

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B. 2.625

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C. 2.75

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D. 3

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Question 21 of 30

Below is a table of average standardized test scores (in %) for four classes across five subjects. The school requires each class to have a total average of at least 90% across all subjects. Which class(es) do not meet this requirement?

Class	Math	Science	English	History	Art
Class J	91	89	88	92	90
Class K	89	90	91	87	88
Class L	93	94	92	95	90
Class M	88	87	89	86	91

A. Class K only

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B. Classes K and M

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C. Classes J, K, and M

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D. Class M only

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Question 22 of 30

Read the passage and choose the best description of the author’s primary purpose.

Passage:
“Recent studies show that implementing four-day workweeks can boost employee productivity and well-being; however, critics warn of potential scheduling conflicts and customer-service gaps. Companies piloting shorter weeks report higher morale and lower turnover, yet smaller firms struggle to cover peak demand. As interest grows, policymakers and managers must weigh operational challenges against long-term gains in retention and engagement.”

What is the primary purpose of this passage?

A. To persuade readers that four-day workweeks are the best solution for all businesses

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B. To analyze the advantages and disadvantages of adopting a four-day workweek

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C. To warn companies about the risks of reducing weekly work hours

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D. To criticize critics who oppose shorter workweeks

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Question 23 of 30

Four employees—Alice, Ben, Carol, and Dan—each begin their morning shift at a different hour: 6 AM, 7 AM, 8 AM, or 9 AM. Use the clues to determine who starts second earliest.

Clues:

Alice starts later than Carol, but earlier than Dan
Ben does not start last

Who begins work second earliest?

A. Alice

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B. Ben

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C. Carol

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D. Dan

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Question 24 of 30

Read the passage below and choose the best statement that summarizes the primary distinction between photosynthesis and chemosynthesis as described.

Photosynthesis and chemosynthesis are two metabolic processes by which organisms produce organic compounds. Photosynthesis harnesses sunlight to convert carbon dioxide and water into glucose and oxygen; chemosynthesis relies on energy released by inorganic chemical reactions—often the oxidation of hydrogen sulfide—to synthesize organic molecules in environments lacking light.

Which statement best summarizes the primary distinction between photosynthesis and chemosynthesis, as described in the passage?

A. Photosynthesis requires light energy, while chemosynthesis relies on chemical energy

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B. Photosynthesis produces oxygen but chemosynthesis consumes it

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C. Photosynthesis occurs in multicellular organisms but chemosynthesis occurs only in bacteria

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D. Photosynthesis uses water as an electron donor but chemosynthesis does not

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Question 25 of 30

Select the answer that best completes the analogy below.

Stomp — feet; wave — ____

A. wrists

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B. palms

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C. hands

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D. arms

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Question 26 of 30

Fill in the blank with the correct vocabulary word.

As a devout _______, Ezekiel denied himself all earthly comforts, sleeping on a hard wooden plank and eating only a handful of rice each day.

A. epicure

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B. synergist

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C. ascetic

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D. sybarite

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Question 27 of 30

Find the answer choice that most closely matches the meaning of the given statement.

Passage:
Nutritionists usually advise their clients to eat a balanced diet rich in complex carbohydrates, rather than simple carbohydrates which can cause blood sugar to spike.

A. Dietitians often recommend replacing whole grains and legumes with refined sugars to boost energy quickly.

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B. Health experts typically encourage consuming fiber-rich foods over sugary snacks to help maintain even blood glucose levels.

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C. Nutritionists generally tell people to avoid all carbohydrates and focus solely on proteins to manage blood sugar.

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D. Dietitians recommend increasing the intake of simple carbs, such as candy and syrup, to prevent low blood sugar.

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Question 28 of 30

Find the answer choice that most closely matches the meaning of the given statement.

“Artisanal coffee carts are proliferating in urban districts because enthusiasts enjoy the tailored brews and the chance to engage directly with skilled baristas.”

A. Mobile espresso stands are spreading through city centers as aficionados value customized drinks and personal interaction with expert coffee makers.

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B. Permanent cafés are declining in popularity even though patrons prefer classic menus and minimal staff involvement.

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C. Local roasteries are closing down because customers seek anonymous service and uniform coffee blends.

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D. Chain coffee shops are expanding rapidly since they offer identical beverages and automated ordering systems.

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Question 29 of 30

Choose the word that has the same meaning as the underlined word in the sentence.

In the digital age, smartphones have become so ubiquitous that few people can imagine life without them.

A. prevalent

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B. omnipresent

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C. pervasive

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D. universal

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Question 30 of 30

Consider the following statements:
All pianists are musicians, some musicians are composers, no composer is a vocalist.

Which conclusion follows logically?

A. All composers are musicians

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B. Some musicians are not vocalists

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C. Some vocalists are pianists

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D. No musician is a vocalist

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