Crossover Cognitive Aptitude Test — Questions and Answers

Question 1: Read the following instruction set carefully: 'First, review the 'Alpha' and 'Gamma' documents. Second, consolidate the key findings from 'Alpha' into the summary section of the 'Project_Overview' document. Third, cross-reference the figures in the 'Gamma' document with the 'Beta' document, noting any discrepancies above 5% on the 'Discrepancy_Log'. Finally, email the 'Discrepancy_Log' to the compliance team.' What is the first point in the process where the 'Beta' document is used?

While reviewing the 'Alpha' document.
When cross-referencing figures from the 'Gamma' document. (Correct answer)
After the summary section has been updated.
During the consolidation of key findings.

Correct answer: When cross-referencing figures from the 'Gamma' document.

The correct answer is 'When cross-referencing figures from the 'Gamma' document.' The instructions explicitly state in the third step to 'cross-reference the figures in the 'Gamma' document with the 'Beta' document.' This is the first and only mention of using the 'Beta' document in the described workflow.

Question 2: NUMISMATICS : COINS :: PHILATELY : ___

Paintings
Stamps (Correct answer)
Books
Antiques

Correct answer: Stamps

Numismatics is the study and collection of coins, just as philately is the study and collection of stamps.

Question 3: No plastic is biodegradable. Some containers are plastic. Which of the following must be true?

Some containers are not biodegradable. (Correct answer)
All containers are biodegradable.
All biodegradable things are containers.
No containers are biodegradable.

Correct answer: Some containers are not biodegradable.

The plastic containers are not biodegradable, so at least some containers are not biodegradable.

Question 4: Despite her _____ schedule, she managed to complete the project ahead of deadline by delegating tasks effectively.

flexible
predictable
leisurely
grueling (Correct answer)

Correct answer: grueling

'Grueling' means exhaustingly demanding, which contrasts with completing the project successfully.

Question 5: No X is Y. All Z are Y. Which is a valid conclusion?

Some X are Z.
No Z is X. (Correct answer)
All Z are X.
Some Z are X.

Correct answer: No Z is X.

Since Z is entirely within Y and X has no overlap with Y, Z and X cannot overlap at all.

Question 6: The board's decision to promote from within was a _____ move, rewarding loyalty and reducing the cost of external recruitment.

reckless
pragmatic (Correct answer)
imprudent
capricious

Correct answer: pragmatic

'Pragmatic' means dealing with things practically and sensibly, fitting a decision that has clear practical benefits.

Question 7: Which object is the odd one out based on the number of faces? A) Cube (6 faces) B) Triangular prism (5 faces) C) Square pyramid (5 faces) D) Pentagonal prism (7 faces)

Pentagonal prism (7 faces) (Correct answer)
Square pyramid (5 faces)
Triangular prism (5 faces)
Cube (6 faces)

Correct answer: Pentagonal prism (7 faces)

The cube has 6 faces and the triangular prism and square pyramid each have 5 faces, but the pentagonal prism has 7 faces, making it the odd one out by having the most faces.

Question 8: Some students pass exams. All who pass exams get certificates. Which is certain?

Some students get certificates. (Correct answer)
No students get certificates.
Only students get certificates.
All students get certificates.

Correct answer: Some students get certificates.

The students who pass exams must get certificates, so some students definitely get certificates.

Question 9: All engineers are problem-solvers. Some problem-solvers are creative. Which conclusion follows? A) All engineers are creative. B) Some engineers may be creative. C) No engineers are creative. D) All creative people are engineers.

Some engineers may be creative. (Correct answer)
No engineers are creative.
All creative people are engineers.
All engineers are creative.

Correct answer: Some engineers may be creative.

Since only SOME problem-solvers are creative, we can only say some engineers may be creative, not all.

Question 10: Find the next number: 3, 6, 11, 18, 27, ?

37
36
38 (Correct answer)
39

Correct answer: 38

Differences are 3, 5, 7, 9, 11 (odd numbers increasing by 2), so 27 + 11 = 38.

Question 11: The student's essay demonstrated a _____ understanding of the topic, connecting historical events to current political developments.

sophisticated (Correct answer)
superficial
cursory
rudimentary

Correct answer: sophisticated

'Sophisticated' means having refined knowledge, fitting the ability to connect history to current events.

Question 12: The bar chart below shows quarterly revenue for a company's four main product lines. In which quarter did the 'Software' product line account for the largest proportion of that quarter's total revenue?

Q3 (Correct answer)
Q1
Q2
Q4

Correct answer: Q3

To find the proportion, divide the Software revenue by the total revenue for each quarter. Q1: 30/100 = 30%. Q2: 40/120 = 33.3%. Q3: 55/110 = 50%. Q4: 60/150 = 40%. The highest proportion (50%) occurred in Q3.

Question 13: A report lists totals: $1,240 + $876 + $344 = $2,460. Is this correct?

No, the correct total is $2,560 (Correct answer)
No, the correct total is $2,360
No, the correct total is $2,460
Yes, the total is correct

Correct answer: No, the correct total is $2,560

$1,240 + $876 + $344 = $2,460 is incorrect; the correct sum is $2,460... actually $1,240 + $876 = $2,116, + $344 = $2,460. Wait — the correct total is $2,460.

Question 14: The scatter plot shows the relationship between product price and the number of units sold per week. According to the line of best fit, what would be the predicted number of units sold if the product were priced at $30?

550 units
400 units
500 units (Correct answer)
450 units

Correct answer: 500 units

By locating $30 on the x-axis and tracing vertically up to the line of best fit, then horizontally to the y-axis, the corresponding value is 500 units. The line shows a clear linear relationship where for every $10 increase in price, sales decrease by 100 units, starting from the point ($20, 600). Thus, at $30, sales would be 500.

Question 15: You are asked to proofread the following two sentences for consistency. What is the specific difference between Sentence A and Sentence B? Sentence A: The client's requirements specify a system uptime of 99.98%, with data backups occurring bi-annually and stored in a geo-redundant, off-site facility. Sentence B: The client's requirements specify a system uptime of 99.98%, with data backups occurring bi-monthly and stored in a geo-redundant, off-site facility.

The system uptime percentage.
The location of the storage facility.
The frequency of the data backups. (Correct answer)
The type of storage facility.

Correct answer: The frequency of the data backups.

The only difference between the two sentences is the frequency of data backups. Sentence A states 'bi-annually' (twice a year), while Sentence B states 'bi-monthly' (every two months). All other details like uptime percentage and storage facility type/location are identical.

Question 16: Premises: All X are Y. Some Y are Z. Can you conclude that some X are Z?

Yes, always
No, not necessarily (Correct answer)
Only if X equals Y
Only if Z is a subset of Y

Correct answer: No, not necessarily

The Y elements that are Z may or may not overlap with the X elements; the conclusion does not follow necessarily.

Question 17: No mammals are cold-blooded. All fish are cold-blooded. Therefore:

Some fish are mammals.
All mammals are fish.
Some mammals are cold-blooded.
No fish are mammals. (Correct answer)

Correct answer: No fish are mammals.

Mammals cannot be cold-blooded, and fish must be cold-blooded, so the two groups cannot overlap.

Question 18: VENERATE : RESPECT :: CENSURE : ___

Praise
Criticize (Correct answer)
Ignore
Question

Correct answer: Criticize

To venerate means to deeply respect, just as to censure means to formally criticize or condemn.

Question 19: LACONIC : VERBOSE :: FRUGAL : ___

Wasteful (Correct answer)
Careful
Generous
Wealthy

Correct answer: Wasteful

Laconic (using few words) is the antonym of verbose (using many words), just as frugal (spending little) is the antonym of wasteful (spending excessively).

Question 20: Review these two addresses and identify the difference: '4821 Westbrook Lane, Suite 302, Denver, CO 80203' vs '4821 Westbrook Lane, Suite 302, Denver, CA 80203'

The ZIP code differs
The suite number differs
The street number differs
The state abbreviation differs (Correct answer)

Correct answer: The state abbreviation differs

CO (Colorado) was changed to CA (California) in the second address.

Question 21: Despite initial _____, the community eventually embraced the new recycling program after seeing its positive environmental impact.

skepticism (Correct answer)
enthusiasm
awareness
apathy

Correct answer: skepticism

'Skepticism' means doubt or questioning of something, contrasting with later embracing the program.

Question 22: CATALYST : REACTION :: STIMULUS : ___

Response (Correct answer)
Nerve
Brain
Organ

Correct answer: Response

A catalyst triggers a chemical reaction, just as a stimulus triggers a biological response.

Question 23: What is the next number in the following sequence? 3, 7, 16, 35, 74, ...

148
162
153 (Correct answer)
158

Correct answer: 153

The pattern is to multiply the previous number by 2 and then add an increasing integer (1, 2, 3, 4, ...). 3 * 2 + 1 = 7. 7 * 2 + 2 = 16. 16 * 2 + 3 = 35. 35 * 2 + 4 = 74. Therefore, the next number is 74 * 2 + 5 = 153.

Question 24: What is the meaning of the word 'EPHEMERAL'?

Extremely detailed and precise
Lasting for a very short time (Correct answer)
Everlasting and permanent
Widely known and celebrated

Correct answer: Lasting for a very short time

Ephemeral describes something that lasts only a very short time before disappearing.

Question 25: A figure series shows overlapping shapes: in figure 1, a circle overlaps a square with a small overlap; in each subsequent figure the circle moves further right, increasing the overlap area. In figure 5, the circle is entirely inside the square. What does figure 6 show?

Circle emerging from the right side of the square (Correct answer)
Circle and square separated
Circle centered in the square
Circle fully outside the square

Correct answer: Circle emerging from the right side of the square

Continuing the rightward movement past full containment, the circle begins to emerge from the right edge of the square in figure 6.

Question 26: Compare these product codes: 'XR-4418-BLK-LG' and 'XR-4418-BLK-IG'. What differs?

The numeric segment
The prefix letters
The color code
The last two letters of the size/variant code (Correct answer)

Correct answer: The last two letters of the size/variant code

LG (likely Large) vs IG — the first letter of the final segment changed from L to I.

Question 27: The CEO's speech was intended to __________ the workforce after a challenging quarter, but its vague platitudes and lack of a concrete plan had the opposite effect.

castigate
obfuscate
placate
galvanize (Correct answer)

Correct answer: galvanize

After a 'challenging quarter,' a leader's goal is to inspire and energize the team to take positive action. 'Galvanize' means to shock or excite someone into action, which precisely fits this intended purpose. The other options are incorrect: 'castigate' means to reprimand, 'placate' means to soothe anger (which is too weak), and 'obfuscate' means to make unclear.

Question 28: In a pattern matrix, small shapes appear in the top-left and bottom-right cells; large shapes appear in the top-right and bottom-left cells. The center cell contains a medium shape. If the top-left is a small circle, what is in the bottom-right?

Small circle (Correct answer)
Medium circle
Large circle
Small square

Correct answer: Small circle

The rule places small shapes in top-left and bottom-right, so the bottom-right is a small circle.

Question 29: Find the next term: 1000, 500, 250, 125, ?

50
60
62.5 (Correct answer)
65

Correct answer: 62.5

Each term is halved, so 125 ÷ 2 = 62.5.

Question 30: Which is the odd one out in this group of transformations? A) Translation (sliding) B) Rotation (turning) C) Reflection (flipping) D) Dilation (scaling)

Reflection (flipping)
Translation (sliding)
Dilation (scaling) (Correct answer)
Rotation (turning)

Correct answer: Dilation (scaling)

Translation, rotation, and reflection are all isometric transformations that preserve the size and shape of the figure, while dilation changes the size — it is not an isometry.

Question 31: Shapes rotate 90° clockwise each step: arrow pointing up → right → down → ___. What is the next direction?

Left (Correct answer)
Down
Up
Right

Correct answer: Left

Rotating 90° clockwise four times completes a full cycle, so after down the arrow points left.

Question 32: PROLOGUE : EPILOGUE :: PREFACE : ___

Afterword (Correct answer)
Bibliography
Chapter
Index

Correct answer: Afterword

A prologue comes before and an epilogue comes after a play, just as a preface comes before and an afterword comes after a book.

Question 33: The committee's decision to delay the vote was seen as _____ by critics who wanted immediate action on the urgent matter.

dilatory (Correct answer)
proactive
efficient
decisive

Correct answer: dilatory

'Dilatory' means tending to delay or slow down proceedings, fitting critics who wanted immediate action.

Question 34: Which pair of words is spelled identically? A) 'Accommodate' vs 'Accomodate' B) 'Occurrence' vs 'Occurrence' C) 'Necessary' vs 'Neccessary' D) 'Separate' vs 'Seperate'

Pair B (Correct answer)
Pair D
Pair C
Pair A

Correct answer: Pair B

Pair B both spell 'Occurrence' correctly with double c and double r.

Question 35: A series shows concentric rings: figure 1 has 1 ring, figure 2 has 2, figure 3 has 3. Every other ring is shaded. In figure 5, how many shaded rings are there?

4
3 (Correct answer)
2
5

Correct answer: 3

Figure 5 has rings 1–5; rings 1, 3, and 5 are shaded, giving 3 shaded rings.

Question 36: In a figure series, alternating figures show a shape in its normal and mirror-image form. Figure 1 is the letter 'R' (normal). Which figure number shows the 3rd occurrence of the mirror-image 'R'?

Figure 4
Figure 6 (Correct answer)
Figure 7
Figure 5

Correct answer: Figure 6

Mirror images appear at even figures (2, 4, 6), so the 3rd mirror-image occurs at figure 6.

Question 37: A bar chart compares employee counts across 5 departments. HR=20, IT=45, Sales=60, Finance=30, Ops=25. Which department has exactly twice the headcount of HR?

Sales
Finance (Correct answer)
Ops
IT

Correct answer: Finance

Finance has 30 employees, which is exactly 2 × 20 (HR).

Question 38: A team finishes a task in 8 days. If the team size is doubled, how long does the same task take?

8 days
6 days
2 days
4 days (Correct answer)

Correct answer: 4 days

Doubling the workforce halves the time: 8 ÷ 2 = 4 days.

Question 39: Which expression equals (a + b)²?

2a² + 2b²
a² + b²
a² + ab + b²
a² + 2ab + b² (Correct answer)

Correct answer: a² + 2ab + b²

(a + b)(a + b) = a² + ab + ab + b² = a² + 2ab + b².

Question 40: A series shows a cross (+) shape that gains one block on each arm per step. Figure 1 has a single center block (total 1 block). How many blocks does figure 4 have in total?

16
12
13 (Correct answer)
9

Correct answer: 13

Figure 4 has a center plus 4 arms of 3 blocks each: 1 + 4×3 = 13 blocks.

Question 41: What comes next: 2, 3, 5, 8, 13, 21, ?

34 (Correct answer)
29
31
36

Correct answer: 34

This is the Fibonacci sequence; each term is the sum of the two preceding terms: 13 + 21 = 34.

Question 42: PEDAGOGY : TEACHING :: JURISPRUDENCE : ___

Finance
Politics
Law (Correct answer)
Medicine

Correct answer: Law

Pedagogy is the theory and practice of teaching, just as jurisprudence is the theory and philosophy of law.

Question 43: A bar chart shows revenue growth rates: Year 1=5%, Year 2=8%, Year 3=−3%, Year 4=10%. In which year did revenue actually decrease?

Year 3 (Correct answer)
Year 4
Year 1
Year 2

Correct answer: Year 3

A negative growth rate in Year 3 (−3%) means revenue was lower than the previous year.

Question 44: A bar graph shows energy consumption (MWh) by department: Production=500, Admin=100, R&D=200, Logistics=300. If the company reduces total energy by 10%, how much must be saved?

130 MWh
110 MWh (Correct answer)
100 MWh
120 MWh

Correct answer: 110 MWh

Total = 500+100+200+300 = 1,100 MWh; 10% of 1,100 = 110 MWh.

Question 45: In a sequence of numbers arranged in a triangle, each number equals the sum of the two above it. Row 1: 1; Row 2: 1, 1; Row 3: 1, 2, 1; Row 4: 1, 3, 3, ___. What is the missing value?

3
4
1 (Correct answer)
2

Correct answer: 1

Pascal's triangle always ends each row with 1, so the missing value is 1.

Question 46: Find the next term: 5, 10, 20, 40, 80, ?

160 (Correct answer)
120
140
100

Correct answer: 160

Each term is multiplied by 2, so 80 × 2 = 160.

Question 47: Three workers can complete a job in 12 days. How many days would it take 4 workers to complete the same job, assuming equal productivity?

16 days
8 days
10 days
9 days (Correct answer)

Correct answer: 9 days

Total work = 3 × 12 = 36 worker-days; with 4 workers: 36 ÷ 4 = 9 days.

Question 48: Shapes in a series double in size each step: 1 cm², 2 cm², 4 cm², 8 cm², ___. What is the next area?

12 cm²
16 cm² (Correct answer)
10 cm²
14 cm²

Correct answer: 16 cm²

Each term doubles, so 8 × 2 = 16 cm².

Question 49: An investor buys 200 shares at $45 each and later sells them at $52 each. What is the total profit?

$900
$1,400 (Correct answer)
$1,500
$1,200

Correct answer: $1,400

Profit per share = $52 − $45 = $7; total profit = 200 × $7 = $1,400.

Question 50: Which of the following figures does not follow the same shading logic as the others?

A regular hexagon divided into six central triangles, with three alternating triangles shaded.
A square divided into a 2x2 grid, with two diagonally opposite squares shaded.
A rectangle divided vertically into four equal stripes, with the first and second stripes shaded. (Correct answer)
A circle divided into six equal wedges, with three alternating wedges shaded.

Correct answer: A rectangle divided vertically into four equal stripes, with the first and second stripes shaded.

In the last three options, the shading pattern is consistently alternating; for every shaded section, the adjacent sections are unshaded. In the first option, two adjacent stripes are shaded, which violates the alternating pattern.

Question 51: In a matrix, the number of sides of each shape increases by 1 across each row (3, 4, 5) and by 2 down each column (3, 5, 7). What shape is in the bottom-right cell if the top-left is a triangle?

Octagon (8 sides)
Nonagon (9 sides) (Correct answer)
Decagon (10 sides)
Heptagon (7 sides)

Correct answer: Nonagon (9 sides)

Starting at 3, moving right by 1 and down by 2: bottom-right = 3 + 2(columns) + 2×2(rows) = 9 sides.

Crossover Cognitive Aptitude Test

The Crossover Cognitive Aptitude Test (CCAT) is a pre-employment assessment used by Crossover for Work to evaluate candidates' problem-solving ability, learning aptitude, and critical thinking across verbal, numerical, and spatial reasoning domains. Candidates must complete 50 questions in 15 minutes.

Questions

15 min

Time Limit

70%

To Pass

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