FAST Aptitude Selection Test — Questions and Answers

Question 1: What is the purpose of non-destructive testing (NDT)?

To reduce inspection costs by skipping some items
To replace visual inspection entirely
To test materials until they break
To evaluate material properties and detect defects without damaging the item (Correct answer)

Correct answer: To evaluate material properties and detect defects without damaging the item

NDT methods evaluate materials and components for defects without causing damage, allowing continued use of the item tested.

Question 2: A pattern alternates between a circle and a triangle starting with a circle. What is the 7th shape in the sequence?

Triangle
Hexagon
Circle (Correct answer)
Square

Correct answer: Circle

Odd-numbered positions (1, 3, 5, 7) are circles and even-numbered positions are triangles, so the 7th shape is a circle.

Question 3: A ratio of managers to staff is 1:8. If there are 144 staff members, how many managers are there?

18 (Correct answer)
12
20
16

Correct answer: 18

Managers = 144 ÷ 8 = 18.

Question 4: How can numerical reasoning be applied in business decisions?

Practicing meditation techniques
Creating fictional narratives
Developing artistic skills
Analyzing financial reports (Correct answer)

Correct answer: Analyzing financial reports

Analyzing financial reports helps businesses understand revenue trends, expenses, and profitability to make informed decisions.

Question 5: What does the word 'DISCREPANCY' mean?

An exaggeration of the truth
An agreement between two accounts
A lack of compatibility or a difference between two things (Correct answer)
A detailed explanation of facts

Correct answer: A lack of compatibility or a difference between two things

A discrepancy is an inconsistency or difference between two things that should be the same or compatible.

Question 6: How does verbal reasoning contribute to problem-solving?

It discourages critical thinking
It limits comprehension
It eliminates the need for analysis
It aids in logical decision-making (Correct answer)

Correct answer: It aids in logical decision-making

Verbal reasoning helps individuals draw logical conclusions, evaluate arguments, and make informed decisions based on language-based evidence.

Question 7: Which of the following best describes a leptokurtic distribution compared to a normal distribution?

Flatter with lighter tails
Taller peak with heavier tails (Correct answer)
Bimodal with two peaks
Perfectly symmetric

Correct answer: Taller peak with heavier tails

Leptokurtic distributions have positive excess kurtosis, meaning a sharper peak and heavier tails than a normal distribution.

Question 8: Test scores: 70, 75, 80, 85, 90. What is the variance?

25
7.07
50 (Correct answer)
62.5

Correct answer: 50

Mean = 80; squared deviations: 100, 25, 0, 25, 100; variance = 250/5 = 50.

Question 9: What number completes the pattern: 3, 6, 12, 24, ___?

42
36
30
48 (Correct answer)

Correct answer: 48

Each number is multiplied by 2, so 24 × 2 = 48.

Question 10: Which shape has exactly 4 lines of symmetry?

Scalene triangle
Parallelogram
Rectangle
Square (Correct answer)

Correct answer: Square

A square has 4 lines of symmetry: two through opposite corners and two through midpoints of opposite sides.

Question 11: If you rotate a square 90 degrees clockwise, what shape do you see?

Circle
Square (Correct answer)
Rectangle
Triangle

Correct answer: Square

A square looks identical after a 90-degree rotation because all sides are equal and all angles are right angles.

Question 12: A train travels at 60 mph. How far does it travel in 1 hour 30 minutes?

90 miles (Correct answer)
100 miles
75 miles
80 miles

Correct answer: 90 miles

1.5 hours × 60 mph = 90 miles.

Question 13: Which of the following is an example of a SIMILE?

He ran like the wind. (Correct answer)
The classroom was a zoo.
Her voice was music to his ears.
The stars winked in the night sky.

Correct answer: He ran like the wind.

A simile uses 'like' or 'as' to compare two unlike things; 'He ran like the wind' is a direct comparison using 'like.'

Question 14: How many small unit cubes make up a 3×3×3 larger cube?

9
27 (Correct answer)
36
18

Correct answer: 27

A 3×3×3 cube contains 3 × 3 × 3 = 27 individual unit cubes.

Question 15: Three students from the same class scored 90, 85, and 95 on a test. A fourth student is most likely to score:

Below 50
Above 100
Around 85 to 95 (Correct answer)
Exactly 90

Correct answer: Around 85 to 95

Inductive reasoning suggests the fourth student would likely score in a range similar to the observed results.

Question 16: All doctors have medical degrees. Jane has a medical degree. What can we logically conclude about Jane?

Jane is not a doctor
Jane is a nurse
Jane may or may not be a doctor (Correct answer)
Jane is definitely a doctor

Correct answer: Jane may or may not be a doctor

Having a medical degree is necessary but not sufficient to be a doctor, since other professionals may also hold medical degrees.

Question 17: How does vocabulary impact verbal proficiency?

It reduces the need for grammar
It improves comprehension and clarity (Correct answer)
It prevents effective expression
It decreases communication ability

Correct answer: It improves comprehension and clarity

A strong vocabulary enhances comprehension, articulation, and the ability to convey ideas clearly and effectively.

Question 18: What is a confounding variable?

A variable that influences both the independent and dependent variables (Correct answer)
A variable that only affects the control group
Any variable measured in the study
The variable being manipulated

Correct answer: A variable that influences both the independent and dependent variables

Confounders create alternative explanations for results by simultaneously affecting the treatment and outcome.

Question 19: What is the meaning of 'AMBIVALENT'?

Strongly committed to one viewpoint
Having mixed feelings about something (Correct answer)
Completely indifferent to all outcomes
Openly hostile toward others

Correct answer: Having mixed feelings about something

Ambivalent means having mixed or contradictory feelings about something or someone at the same time.

Question 20: An investor puts $5,000 into an account earning 6% simple interest per year. What is the total after 4 years?

$6,500
$6,200 (Correct answer)
$6,400
$6,000

Correct answer: $6,200

Interest = 5,000 × 0.06 × 4 = $1,200; total = $5,000 + $1,200 = $6,200.

Question 21: A tiling pattern repeats every 4 tiles in the order: red, blue, green, yellow. What color is the 18th tile?

Blue (Correct answer)
Green
Yellow
Red

Correct answer: Blue

18 ÷ 4 = 4 remainder 2, so the 18th tile matches position 2 in the cycle, which is blue.

Question 22: Which option correctly completes the analogy? NOVEL : AUTHOR :: SYMPHONY : ______

Conductor
Orchestra
Musician
Composer (Correct answer)

Correct answer: Composer

A novel is created by an author; a symphony is created by a composer, making this the correct parallel.

Question 23: What is the meaning of the root word 'BENE-' as in 'beneficial' or 'benevolent'?

Bad or harmful
Small or little
Good or well (Correct answer)
Hidden or secret

Correct answer: Good or well

The Latin root bene- means good or well, found in words like benefactor (one who does good) and benevolent (well-wishing).

Question 24: A project has a 60% chance of earning $120,000 and a 40% chance of losing $30,000. What is the expected value of this project?

$50,000
$60,000 (Correct answer)
$72,000
$84,000

Correct answer: $60,000

Expected value = (0.60 × $120,000) + (0.40 × −$30,000) = $72,000 − $12,000 = $60,000.

Question 25: What is the next term in the sequence: 2, 5, 11, 23, ___?

50
47 (Correct answer)
41
45

Correct answer: 47

Each term is doubled then incremented by 1: 2×2+1=5, 5×2+1=11, 11×2+1=23, 23×2+1=47.

Question 26: A team of 4 workers completes a task in 6 days. How many days would it take 8 workers to complete the same task?

4 days
12 days
2 days
3 days (Correct answer)

Correct answer: 3 days

Doubling the workers halves the time, so 6 ÷ 2 = 3 days.

Question 27: If 12% of a number is 96, what is the number?

800 (Correct answer)
850
700
750

Correct answer: 800

Number = 96 ÷ 0.12 = 800.

Question 28: A data set shows: 14, 22, 18, 30, 26. What is the median?

22 (Correct answer)
20
18
24

Correct answer: 22

Ordered: 14, 18, 22, 26, 30; the middle value is 22.

Question 29: Which of the following is a key skill in numerical reasoning?

Evaluating artistic compositions
Memorizing historical dates
Understanding ratios and proportions (Correct answer)
Identifying abstract patterns

Correct answer: Understanding ratios and proportions

Understanding ratios allows individuals to compare values and make proportional decisions based on numerical data.

Question 30: If an image is reflected across a vertical axis, which property changes?

Left-right orientation (Correct answer)
Color
Shape
Size

Correct answer: Left-right orientation

A reflection across a vertical axis flips the image so that the left and right sides are reversed.

Question 31: Which aspect of verbal proficiency is crucial for effective communication?

Speaking without organization
Grammar and sentence structure (Correct answer)
Ignoring punctuation
Writing with excessive ambiguity

Correct answer: Grammar and sentence structure

Grammar and sentence structure ensure clarity and coherence, helping individuals communicate effectively in written and spoken forms.

Question 32: What does 'sampling frame' refer to in research design?

The statistical formula used to analyze results
The margin of error in the sample
The timeframe during which data is collected
The list or source from which sample members are drawn (Correct answer)

Correct answer: The list or source from which sample members are drawn

A sampling frame is the actual list or source used to identify and select sample members from the target population.

Question 33: A square has a diagonal of 10 cm. What is its area?

100 cm²
25 cm²
50 cm² (Correct answer)
40 cm²

Correct answer: 50 cm²

Area = diagonal² ÷ 2 = 100 ÷ 2 = 50 cm².

Question 34: If it rains, the ground gets wet. The ground is wet. Which conclusion is logically valid?

It may or may not have rained (Correct answer)
The ground is always wet
It definitely did not rain
It definitely rained

Correct answer: It may or may not have rained

Wet ground could have other causes besides rain, so concluding it definitely rained commits the fallacy of affirming the consequent.

Question 35: A company has 240 employees. If 30% are in sales and 25% are in operations, how many are in neither department?

108 (Correct answer)
100
112
96

Correct answer: 108

Sales = 72, Operations = 60; neither = 240 − 132 = 108.

Question 36: Five friends sit in a row. Alex sits to the left of Ben. Chris sits to the right of Ben. Dana sits between Alex and Ben. Who sits second from the left?

Chris
Dana (Correct answer)
Alex
Ben

Correct answer: Dana

Order is Alex, Dana, Ben, Chris — Dana is second from the left.

Question 37: Which argument contains a logical fallacy? 'Some cats are black. Whiskers is a cat. Therefore, Whiskers is black.'

The argument is logically valid
Whiskers must be a different color
The conclusion is certain
The argument is a fallacy because 'some' does not mean 'all' (Correct answer)

Correct answer: The argument is a fallacy because 'some' does not mean 'all'

Concluding Whiskers is black from 'some cats are black' is a fallacy because 'some' does not imply 'all.'

Question 38: 'Every time I eat peanuts I get a stomachache; therefore peanuts cause my stomachaches.' This is an example of:

Deductive reasoning
A logical fallacy
A formal proof
Inductive reasoning (Correct answer)

Correct answer: Inductive reasoning

This is inductive reasoning — drawing a general conclusion from repeated specific personal observations.

Question 39: A triangle has interior angles measuring 60° and 70°. What is the measure of the third angle?

70°
60°
40°
50° (Correct answer)

Correct answer: 50°

The interior angles of a triangle sum to 180°, so the third angle = 180 − 60 − 70 = 50°.

Question 40: Study results show that 70% of people who exercise daily report better sleep. A researcher concludes that exercise causes better sleep. What is the flaw in this reasoning?

The study should have used animals
Correlation does not imply causation (Correct answer)
The statistic is too high to be reliable
The sample size is too small

Correct answer: Correlation does not imply causation

An association between two variables does not establish that one causes the other without controlled experimental evidence.

Question 41: If a rectangle has a perimeter of 36 cm and a length of 10 cm, what is its area?

90 cm²
100 cm²
80 cm² (Correct answer)
110 cm²

Correct answer: 80 cm²

Width = (36 − 20) ÷ 2 = 8 cm; Area = 10 × 8 = 80 cm².

Question 42: Which statement is an example of inductive reasoning?

If X=Y and Y=Z then X=Z
I have observed 100 white swans; therefore all swans are white (Correct answer)
All birds fly; penguins are birds; therefore penguins fly
Either it rains or it does not rain today

Correct answer: I have observed 100 white swans; therefore all swans are white

Inductive reasoning draws a general conclusion from specific observations, like concluding all swans are white after observing many.

Question 43: How many edges does a cube have?

12 (Correct answer)
8
10
6

Correct answer: 12

A cube has 12 edges: 4 on the top face, 4 on the bottom face, and 4 vertical edges connecting them.

Question 44: A shape is enlarged by a scale factor of 3 and the original area was 4 square units. What is the new area?

24 square units
12 square units
36 square units (Correct answer)
7 square units

Correct answer: 36 square units

When a shape is scaled by factor k, area scales by k², so 4 × 3² = 4 × 9 = 36 square units.

Question 45: A candidate scores 95% on a tracking task alone but drops to 60% when a secondary arithmetic task is added. A second candidate scores 85% alone and 78% with arithmetic added. Which candidate demonstrates better multi-tasking aptitude for a pilot role?

Both are equal since absolute scores matter most
Candidate 1, because 60% is still within acceptable range
Candidate 2, because the performance drop is smaller (Correct answer)
Candidate 1, because the solo score is higher

Correct answer: Candidate 2, because the performance drop is smaller

The key metric in multi-tasking assessments is performance degradation under dual-task conditions. Candidate 2's drop of 7 percentage points versus 35 indicates far superior ability to maintain performance under cognitive load.

Question 46: An interaction term (X₁ × X₂) is included in a regression model when:

The effect of X₁ on Y differs depending on the level of X₂ (Correct answer)
X₁ and X₂ are highly correlated
The residuals are not normally distributed
Both predictors are categorical

Correct answer: The effect of X₁ on Y differs depending on the level of X₂

An interaction term captures moderation — when the slope of X₁ on Y changes at different values of X₂.

Question 47: Which word is the odd one out: Nitrogen, Oxygen, Carbon, Water?

Water (Correct answer)
Oxygen
Carbon
Nitrogen

Correct answer: Water

Nitrogen, oxygen, and carbon are elements; water is a compound (H₂O).

Question 48: A line graph shows a company's stock price over 12 months. The graph has a y-axis scale from $0 to $500, but all values fall between $480 and $495. What improvement would make the chart most informative?

Rescale the y-axis to $475–$500 (Correct answer)
Switch to a pie chart
Add a second data series
Remove the x-axis labels

Correct answer: Rescale the y-axis to $475–$500

Rescaling the y-axis to the range of actual data ($475–$500) would make the small fluctuations visible and meaningful.

Question 49: Which cognitive ability is crucial for making quick and effective decisions?

Processing speed (Correct answer)
Avoiding decision-making altogether
Slow and deliberate thinking
Ignoring details

Correct answer: Processing speed

Processing speed determines how quickly an individual can absorb, understand, and respond to information in real time.

Question 50: What comes next in the sequence: 1, 4, 9, 16, ___?

22
20
24
25 (Correct answer)

Correct answer: 25

These are perfect squares (1², 2², 3², 4²), so the next term is 5² = 25.

Question 51: If all Zips are Zaps and some Zaps are Zops, which conclusion is definitely true?

All Zips are Zops
All Zops are Zips
No Zips are Zops
Some Zips are Zops (Correct answer)

Correct answer: Some Zips are Zops

Since all Zips are Zaps and some Zaps are Zops, it follows that some Zips may also be Zops.

Question 52: How do numerical reasoning skills benefit professionals?

To evaluate trends and optimize resources (Correct answer)
To disregard financial considerations
To eliminate the need for calculations
To limit data usage in decision-making

Correct answer: To evaluate trends and optimize resources

Professionals use numerical reasoning skills to evaluate trends, optimize resources, and improve decision-making in various industries.

Question 53: If all squares are rectangles, and shape X is a square, what can we conclude about shape X?

X is not a rectangle
X is a triangle
X is a circle
X is a rectangle (Correct answer)

Correct answer: X is a rectangle

Since all squares are rectangles and X is a square, X must be a rectangle.

Question 54: A clock shows 3:45. What is the angle between the minute hand and hour hand?

172.5°
187.5°
157.5° (Correct answer)
142.5°

Correct answer: 157.5°

At 3:45, the minute hand is at 270° and the hour hand is at 112.5°, giving a difference of 157.5°.

Question 55: Which of the following fractions is greatest?

9/20
3/7
7/15
5/11 (Correct answer)

Correct answer: 5/11

Converting to decimals: 3/7≈0.429, 5/11≈0.455, 7/15≈0.467, 9/20=0.45 — 7/15 is the greatest.

Question 56: Which sentence correctly uses 'FEWER' vs. 'LESS'?

There are less students in class today.
He made fewer mistakes on the second test. (Correct answer)
She had less books than her brother.
I have fewer money than I thought.

Correct answer: He made fewer mistakes on the second test.

Fewer is used with countable nouns (like mistakes), while less is used with uncountable nouns.

Question 57: What comes next in the sequence: Monday, Wednesday, Friday, ___?

Tuesday
Thursday
Sunday (Correct answer)
Saturday

Correct answer: Sunday

The pattern skips every other day of the week, so after Friday the next term is Sunday.

Question 58: A clock shows 3:00. If the minute hand rotates 180 degrees, where does it now point?

6 (Correct answer)
12
3
9

Correct answer: 6

At 3:00 the minute hand points to 12, and rotating it 180° takes it to the opposite side, pointing to 6.

Question 59: Choose the sentence that contains a PARALLEL STRUCTURE error.

The plan was simple, effective, and affordable.
He was smart, determined, and hardworking.
They studied, practiced, and performed brilliantly.
She enjoys hiking, swimming, and to run. (Correct answer)

Correct answer: She enjoys hiking, swimming, and to run.

Option A breaks parallel structure by mixing gerunds (hiking, swimming) with an infinitive (to run); it should be 'hiking, swimming, and running.'

Question 60: How many minutes are in 3.25 hours?

185 minutes
200 minutes
180 minutes
195 minutes (Correct answer)

Correct answer: 195 minutes

3.25 × 60 = 195 minutes.

FAST Aptitude Selection Test

The FAST (Future Aptitude Selection Tool) is an aptitude assessment measuring cognitive skills, numerical and verbal reasoning, logical analysis, spatial reasoning, and analytical problem-solving for candidate selection purposes.

Questions

60 min

Time Limit

70%

To Pass

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Exam Rules

You can skip questions and return to them later
Flag questions for review before submitting
No feedback shown until you submit the entire exam
Unanswered questions count as wrong — answer everything
10 pretest questions are mixed in and don't affect your score
Timer auto-submits when time runs out
Your progress is auto-saved every 30 seconds

These practice questions were written with AI tools. They are not real exam questions. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy

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