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Cyprus Public Service A8 study materials
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Cyprus Public Service A8 practice questions

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Question 1Numerical reasoning

What is the next number in the sequence: 2, 5, 10, 17, 26, ...?

  1. 35
  2. 37 Correct answer.
  3. 39
  4. 41

Explanation

The difference between consecutive terms increases by 2 each time: +3, +5, +7, +9. The next difference should be +11, making the next term 26 + 11 = 37.

Question 2Numerical reasoning

Find the missing number in the sequence: 3, 6, 12, 24, 48, ...?

  1. 60
  2. 72
  3. 96 Correct answer.
  4. 108

Explanation

Each term in the sequence is multiplied by 2 to obtain the subsequent term. Therefore, the next term is 48 * 2 = 96.

Question 3Numerical reasoning

What is the next term in the sequence: 1, 4, 9, 16, 25, ...?

  1. 30
  2. 34
  3. 36 Correct answer.
  4. 49

Explanation

The terms are the squares of consecutive integers: 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25. The next term is 6^2 = 36.

Question 4Numerical reasoning

What is the next number in the sequence: 5, 8, 14, 26, 50, ...?

  1. 86
  2. 94
  3. 98 Correct answer.
  4. 102

Explanation

The pattern is: multiply the current term by 2 and subtract 2. Thus, 5 * 2 - 2 = 8, 8 * 2 - 2 = 14, 14 * 2 - 2 = 26, 26 * 2 - 2 = 50. The next term is 50 * 2 - 2 = 98.

Question 5Numerical reasoning

Identify the next number in the alternating sequence: 15, 5, 12, 10, 9, 15, 6, ...?

  1. 3
  2. 18
  3. 20 Correct answer.
  4. 24

Explanation

This is an interleaved sequence. The terms at odd positions decrease by 3 (15, 12, 9, 6), and the terms at even positions increase by 5 (5, 10, 15, ...). The next term is at an even position, so it is 15 + 5 = 20.

Question 6Numerical reasoning

A department budget is increased by 15% in year 1 and then decreased by 10% in year 2. What is the net percentage change in the budget over the two years?

  1. +5.0%
  2. +4.5%
  3. +3.5% Correct answer.
  4. +2.5%

Explanation

Let the initial budget be 100. After a 15% increase, it becomes 115. A 10% decrease in year 2 reduces it by 115 * 0.10 = 11.5. The final budget is 115 - 11.5 = 103.5, resulting in a net increase of 3.5%.

Question 7Numerical reasoning

If a public employee's monthly salary of €2,400 is subject to a 12% income tax and a 4% social insurance contribution, what is the net monthly take-home salary?

  1. €2,016 Correct answer.
  2. €2,080
  3. €2,112
  4. €2,160

Explanation

The total deductions are 12% + 4% = 16% of the gross salary. Deductions amount to €2,400 * 0.16 = €384. Net take-home salary is €2,400 - €384 = €2,016.

Question 8Numerical reasoning

A municipality registers a 5% population growth annually. If the population in 2024 is 40,000, what is the expected population in 2026?

  1. 42,000
  2. 44,000
  3. 44,100 Correct answer.
  4. 45,000

Explanation

This is a compound growth problem. Population in 2025 = 40,000 * 1.05 = 42,000. Population in 2026 = 42,000 * 1.05 = 44,100.

Question 9Numerical reasoning

A municipal building permit fee is reduced by 20% during a promotional period, costing €120. What was the original price of the permit?

  1. €135
  2. €140
  3. €145
  4. €150 Correct answer.

Explanation

Let the original price of the permit be P. A 20% discount means the candidate paid 80% of P. Thus, 0.80 * P = €120, which gives P = 120 / 0.80 = €150.

Question 10Numerical reasoning

In a local authority, 65% of the staff are female. If there are 91 female employees, what is the total number of employees in the local authority?

  1. 130
  2. 140 Correct answer.
  3. 150
  4. 160

Explanation

Let T be the total number of employees. 65% of T is 91, which means 0.65 * T = 91. Therefore, T = 91 / 0.65 = 140 employees.

Question 11Numerical reasoning

A government bonds project requires an investment of €10,000 at a compound interest rate of 4% per annum. What is the total value of the investment after 3 years?

  1. €11,200
  2. €11,248.64 Correct answer.
  3. €11,258.12
  4. €11,320.50

Explanation

Using the compound interest formula A = P(1 + r)^n: A = 10,000 * (1.04)^3 = 10,000 * 1.124864 = €11,248.64.

Question 12Numerical reasoning

A contractor completes 40% of a public road project in 24 days. If the rate of work remains constant, how many additional days will it take to complete the remaining 60% of the project?

  1. 12 days
  2. 24 days
  3. 36 days Correct answer.
  4. 40 days

Explanation

Since 40% of the project takes 24 days, 1% of the project takes 24 / 40 = 0.6 days. To complete the remaining 60% of the project, it will take 60 * 0.6 = 36 days.

Question 13Numerical reasoning

In a mix of two disinfectants, the ratio of solution A to solution B is 3:5. If the total volume of the mixture is 240 liters, how many liters of solution B are in the mixture?

  1. 90 liters
  2. 120 liters
  3. 150 liters Correct answer.
  4. 160 liters

Explanation

The total number of parts in the ratio is 3 + 5 = 8 parts. One part is equivalent to 240 / 8 = 30 liters. Since solution B represents 5 parts, its volume is 5 * 30 = 150 liters.

Question 14Numerical reasoning

A department maps a town planning model using a scale of 1:2500. If the distance between a park and a library on the map is 8 cm, what is the actual distance in meters?

  1. 20 meters
  2. 100 meters
  3. 200 meters Correct answer.
  4. 2,000 meters

Explanation

A scale of 1:2500 means 1 cm on the map equals 2500 cm in reality. Therefore, 8 cm equals 8 * 2500 = 20,000 cm. Converting to meters, 20,000 cm / 100 = 200 meters.

Question 15Numerical reasoning

Three municipalities share a government environmental grant of €72,000 in the ratio of their populations, which is 2:3:4. What is the amount received by the municipality with the largest population?

  1. €16,000
  2. €24,000
  3. €32,000 Correct answer.
  4. €36,000

Explanation

The total number of parts in the ratio is 2 + 3 + 4 = 9 parts. The value of one part is €72,000 / 9 = €8,000. The largest share is 4 parts, which equals 4 * €8,000 = €32,000.

Question 16Numerical reasoning

A courier car travels from Nicosia to Limassol (a distance of 84 km) at an average speed of 70 km/h. On the return journey, due to traffic, the average speed is 60 km/h. What is the average speed for the entire round trip?

  1. 64.0 km/h
  2. 64.6 km/h Correct answer.
  3. 65.0 km/h
  4. 65.4 km/h

Explanation

Time from Nicosia to Limassol = 84 / 70 = 1.2 hours. Time for return journey = 84 / 60 = 1.4 hours. Total time = 1.2 + 1.4 = 2.6 hours. Total distance = 84 * 2 = 168 km. Average speed = 168 / 2.6 = 64.61 km/h.

Question 17Numerical reasoning

If 5 archivist clerks can index 150 documents in 6 hours, how many documents can 8 archivist clerks index in 4 hours, assuming they all work at the same constant rate?

  1. 120 documents
  2. 160 documents Correct answer.
  3. 180 documents
  4. 200 documents

Explanation

First, find the rate of one clerk: 5 clerks index 150 documents in 6 hours, so they index 150 / 6 = 25 documents per hour collectively. This means 1 clerk indexes 25 / 5 = 5 documents per hour. Therefore, 8 clerks working for 4 hours will index 8 * 4 * 5 = 160 documents.

Question 18Numerical reasoning

A water tank has two inlet pipes. Pipe X can fill the tank in 4 hours, and Pipe Y can fill it in 6 hours. If both pipes are opened simultaneously when the tank is empty, how long will it take to fill the tank?

  1. 2 hours and 12 minutes
  2. 2 hours and 24 minutes Correct answer.
  3. 2 hours and 30 minutes
  4. 5 hours

Explanation

Rate of Pipe X = 1/4 of tank per hour. Rate of Pipe Y = 1/6 of tank per hour. Combined rate = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 of tank per hour. Time to fill tank is 12/5 = 2.4 hours. Since 0.4 hours is 0.4 * 60 = 24 minutes, the total time is 2 hours and 24 minutes.

Question 19Numerical reasoning

The average age of a team of 6 municipal inspectors is 35 years. If a new inspector joins the team, the average age decreases to 34 years. What is the age of the new inspector?

  1. 28 years Correct answer.
  2. 29 years
  3. 30 years
  4. 32 years

Explanation

The total sum of ages of the 6 initial inspectors is 6 * 35 = 210 years. With the new inspector, the total number of people is 7, and their sum of ages is 7 * 34 = 238 years. The age of the new inspector is 238 - 210 = 28 years.

Question 20Numerical reasoning

A civil service registry has twice as many records in Section A as in Section B. Section C has 1,500 records. If the total number of records across all three sections is 7,500, how many records are in Section B?

  1. 2,000 Correct answer.
  2. 3,000
  3. 4,000
  4. 5,000

Explanation

Let the records in Section B be x. Then Section A has 2x. We know that A + B + C = 7,500, so 2x + x + 1,500 = 7,500. This simplifies to 3x = 6,000, which gives x = 2,000 records.

Question 21Numerical reasoning

A municipal parking lot collects €2 for each motorcycle and €5 for each car. On a particular day, a total of 180 vehicles were parked, and the total revenue collected was €720. How many cars were parked?

  1. 90 cars
  2. 100 cars
  3. 110 cars
  4. 120 cars Correct answer.

Explanation

Let m be the number of motorcycles and c be the number of cars. We have: 1) m + c = 180, and 2) 2m + 5c = 720. Multiplying equation 1 by 2: 2m + 2c = 360. Subtracting this from equation 2 yields: 3c = 360, so c = 120. Thus, there were 120 cars.

Question 22Numerical reasoning

A file digitization server processes files at a speed of 15 megabytes per second (MB/s). How many gigabytes (GB) of files can the server process in 2 hours? (Assume 1 GB = 1,000 MB)

  1. 54 GB
  2. 108 GB Correct answer.
  3. 216 GB
  4. 432 GB

Explanation

The server processes 15 MB of files per second. In one hour (3,600 seconds), it processes 15 * 3,600 = 54,000 MB. In 2 hours, it processes 54,000 * 2 = 108,000 MB. Since 1 GB = 1,000 MB, this corresponds to 108,000 / 1,000 = 108 GB.

Question 23Numerical reasoning

A regional hospital has a medical staff of doctors, nurses, and administrative assistants. The ratio of doctors to nurses is 2:5, and the ratio of nurses to administrators is 3:1. If there are 12 doctors, what is the number of administrators?

  1. 10 Correct answer.
  2. 12
  3. 15
  4. 18

Explanation

Given the ratio of doctors to nurses is 2:5, and there are 12 doctors, the number of nurses is 12 * (5/2) = 30 nurses. The ratio of nurses to administrators is 3:1, so the number of administrators is 30 / 3 = 10.

Question 24Numerical reasoning

A company produces solar panels. The production cost per panel is €120, and the selling price is €180. If the fixed monthly operating costs of the factory are €36,000, how many solar panels must be sold each month to break even?

  1. 200 panels
  2. 300 panels
  3. 600 panels Correct answer.
  4. 900 panels

Explanation

The contribution margin per panel is the selling price minus the variable cost: €180 - €120 = €60 per panel. To break even, the company must cover its fixed costs of €36,000. Therefore, it must sell €36,000 / €60 = 600 panels.

Question 25Numerical reasoning

Consider the following table showing municipal waste collection (in tons) for 4 quarters: - Quarter 1: 1,200 tons - Quarter 2: 1,500 tons - Quarter 3: 1,800 tons - Quarter 4: 1,500 tons What is the average monthly waste collection (in tons) over the entire year?

  1. 150 tons
  2. 500 tons Correct answer.
  3. 1,500 tons
  4. 6,000 tons

Explanation

First, find the total waste collected in the year: 1,200 + 1,500 + 1,800 + 1,500 = 6,000 tons. Since a year has 12 months, the average monthly collection is 6,000 / 12 = 500 tons.

Question 26Numerical reasoning

The following data shows the annual budget allocations (in millions of Euros) for three public sectors: - Health: 24 - Education: 36 - Security: 15 If the total budget increases by 20% next year and the relative proportions of the sectors remain the same, what will be the budget allocation for the Education sector?

  1. €7.2 million
  2. €43.2 million Correct answer.
  3. €45.0 million
  4. €50.0 million

Explanation

The budget for Education is €36 million. Since the proportions remain the same, the budget for each sector increases by 20%. The new budget for Education will be €36 million * 1.20 = €43.2 million.

Question 27Numerical reasoning

A library's collection consists of fiction and non-fiction books. In year 1, there were 8,000 fiction and 12,000 non-fiction books. In year 2, the fiction collection increased by 10% and the non-fiction collection decreased by 5%. What was the net change in the total book collection?

  1. +200 books Correct answer.
  2. +400 books
  3. -200 books
  4. -400 books

Explanation

In year 1, the total collection was 8,000 + 12,000 = 20,000 books. In year 2, fiction books increased by 8,000 * 0.10 = 800 (new total: 8,800). Non-fiction books decreased by 12,000 * 0.05 = 600 (new total: 11,400). The net change is +800 - 600 = +200 books.

Question 28Numerical reasoning

If a train travels at a speed of 120 km/h, how many meters does it travel in 15 seconds?

  1. 300 meters
  2. 500 meters Correct answer.
  3. 600 meters
  4. 1,800 meters

Explanation

First, convert speed from km/h to m/s: 120 km/h = 120 * (1000 / 3600) = 120 / 3.6 = 33.33 m/s. Then, multiply by time: 33.33 m/s * 15 seconds = 500 meters.

Question 29Numerical reasoning

In a box of 120 spare parts for government vehicles, 5% are defective. If 3 parts are selected at random, what is the probability that none of them are defective? (Round to three decimal places)

  1. 0.812
  2. 0.856 Correct answer.
  3. 0.950
  4. 0.985

Explanation

The number of defective parts is 120 * 0.05 = 6 parts. The number of non-defective parts is 120 - 6 = 114 parts. The probability of selecting three non-defective parts is (114/120) * (113/119) * (112/118) = 0.95 * 0.9495 * 0.9491 ≈ 0.856.

Question 30Numerical reasoning

A contractor charges €50 per hour for labor and a flat fee of €200 for equipment rental. If a government facility repair job costs €1,450 in total, how many hours of labor were billed?

  1. 20 hours
  2. 25 hours Correct answer.
  3. 29 hours
  4. 33 hours

Explanation

First, subtract the flat equipment fee from the total cost: €1,450 - €200 = €1,250. Then divide the remaining labor cost by the hourly labor rate: €1,250 / €50 = 25 hours.

Question 31Numerical reasoning

A circular public square has a diameter of 28 meters. If the municipality plans to pave the square at a cost of €10 per square meter, what will be the total paving cost? (Use π ≈ 22/7)

  1. €2,464
  2. €6,160 Correct answer.
  3. €12,320
  4. €24,640

Explanation

The radius of the circular square is diameter / 2 = 14 meters. The area of the circle is π * r^2 ≈ (22/7) * 14 * 14 = 22 * 2 * 14 = 616 square meters. The cost of paving is 616 * €10 = €6,160.

Question 32Numerical reasoning

A public agency purchases a network server for €8,000. If the server depreciates at a constant rate of 15% of its value at the beginning of each year, what is its value at the end of 3 years?

  1. €4,400
  2. €4,913 Correct answer.
  3. €5,120
  4. €5,780

Explanation

Using the depreciation formula V = P(1 - r)^n: V = 8,000 * (1 - 0.15)^3 = 8,000 * (0.85)^3 = 8,000 * 0.614125 = €4,913.

Question 33Numerical reasoning

A project manager estimates that a task will require 160 man-hours. If she has a team of 4 technicians who work 8 hours per day, how many days will it take the team to complete the task?

  1. 5 days Correct answer.
  2. 8 days
  3. 10 days
  4. 20 days

Explanation

The total labor capacity per day is 4 technicians * 8 hours = 32 man-hours per day. To complete 160 man-hours, it will take 160 / 32 = 5 days.

Question 34Abstract reasoning

An arrow inside a regular hexagon rotates 60 degrees clockwise at each step. In Figure 1, the arrow points to the top vertex. In Figure 2, it points to the upper-right vertex. In Figure 3, it points to the lower-right vertex. What direction does the arrow point in Figure 5?

  1. Lower-left vertex Correct answer.
  2. Bottom vertex
  3. Upper-left vertex
  4. Top vertex

Explanation

A regular hexagon has six vertices spaced 60 degrees apart. Starting at the top (0 degrees) and rotating 60 degrees clockwise per step gives: Figure 1 = top (0°), Figure 2 = upper-right (60°), Figure 3 = lower-right (120°), Figure 4 = bottom (180°), Figure 5 = lower-left (240°).

Question 35Abstract reasoning

A shape consists of a square with a triangle attached to its top side (pointing upward) and a small circle drawn inside the square. The shape is reflected across a horizontal mirror line. What does the reflected image look like?

  1. A square with a triangle attached to its bottom (pointing downward) and a circle inside the square Correct answer.
  2. A square with a triangle still on top (pointing upward) and a circle outside the square
  3. An upside-down square with a triangle on top and a circle inside it
  4. The shape unchanged in every respect

Explanation

A horizontal mirror line flips the figure vertically (top becomes bottom, bottom becomes top) while left and right stay the same. The upward-pointing triangle on top becomes a downward-pointing triangle on the bottom. The circle inside the square remains inside the square (a square is vertically symmetric, and the circle's position relative to the square's centre is unchanged).

Question 36Abstract reasoning

A cube has distinct markings on three visible faces: the front face shows a star, the top face shows a circle, and the right face shows a triangle. The cube is rotated 90 degrees to the right (clockwise when viewed from above, around the vertical axis). Which marking is now on the front face?

  1. Star
  2. Circle
  3. Triangle Correct answer.
  4. Square

Explanation

Rotating the cube 90 degrees to the right (clockwise viewed from above) brings the right face to the front, the front face to the left, the left face to the back, and the back face to the right. The top face remains on top. Therefore the triangle that was on the right face is now on the front face.

Question 37Abstract reasoning

In a 2x2 grid of squares, Figure 1 has the top-left and bottom-right squares shaded. Figure 2 has the top-right and bottom-left squares shaded. Figure 3 is produced by overlaying Figure 1 and Figure 2 using an XOR rule (a cell is shaded in the result if and only if it is shaded in exactly one of the two input figures). What does Figure 3 look like?

  1. All four squares shaded Correct answer.
  2. No squares shaded
  3. Only the top-left and bottom-right squares shaded
  4. Only the top-right and bottom-left squares shaded

Explanation

Under the XOR rule, each cell is shaded in the result if it is shaded in exactly one of Figure 1 or Figure 2. The top-left cell is shaded in Figure 1 only, so it is shaded in the result. The same applies to the bottom-right (Figure 1 only), the top-right (Figure 2 only), and the bottom-left (Figure 2 only). Since no cell is shaded in both inputs, all four cells are shaded in the XOR result.

Question 38Abstract reasoning

A sequence of figures shows a triangle that rotates 90 degrees clockwise and shrinks by 50% at each step. Figure 1 is a large triangle pointing up. Figure 2 is a medium triangle pointing right. Figure 3 is a small triangle pointing down. What is Figure 4?

  1. A tiny triangle pointing left Correct answer.
  2. A tiny triangle pointing up
  3. A small triangle pointing left
  4. A medium triangle pointing down

Explanation

The orientation rotates 90 degrees clockwise each step: up, right, down, left. So Figure 4 points left. The size halves each step: large, medium, small, tiny. So Figure 4 is a tiny triangle pointing left.

Question 39Abstract reasoning

Which of the following is the odd-one-out based on the number of lines of reflective symmetry?

  1. Square
  2. Rectangle
  3. Rhombus
  4. Parallelogram Correct answer.

Explanation

A square has 4 lines of symmetry, a rectangle has 2 (horizontal and vertical), and a rhombus has 2 (along its two diagonals). A general parallelogram has no lines of reflective symmetry (its only symmetry is rotational, of order 2), making it the odd-one-out.

Question 40Abstract reasoning

In a 3x3 matrix of arrows, the arrow in each cell rotates 45 degrees clockwise as you move left to right within a row, and 90 degrees clockwise as you move down within a column. The top-left cell has an arrow pointing to the right (0 degrees). What direction does the arrow in the bottom-right cell point?

  1. Right
  2. Up Correct answer.
  3. Down
  4. Left

Explanation

Moving from the top-left cell to the bottom-right cell requires moving two cells right (+2 * 45° = +90°) and two cells down (+2 * 90° = +180°), for a total rotation of 270° clockwise from the starting 0° (right). Starting at right (0°) and rotating 270° clockwise gives up (270°), so the bottom-right arrow points up.

Question 41Abstract reasoning

Consider a sequence of figures. Figure 1 shows a circle containing 1 dot. Figure 2 shows the same circle containing 2 dots. Figure 3 shows it with 3 dots. What does Figure 4 show?

  1. A circle containing 3 dots
  2. A circle containing 4 dots Correct answer.
  3. A square containing 4 dots
  4. A circle containing 5 dots

Explanation

The pattern is a simple arithmetic progression of the number of dots inside a constant circle shape. Since the dots increase by 1 in each figure, Figure 4 must contain exactly 4 dots inside the circle.

Question 42Abstract reasoning

An arrow inside a circle points in the following directions sequentially: 12 o'clock, 3 o'clock, 6 o'clock. What is the next direction in the sequence?

  1. 8 o'clock
  2. 9 o'clock Correct answer.
  3. 10 o'clock
  4. 12 o'clock

Explanation

The arrow rotates clockwise by 90 degrees (or 3 hours on a clock face) in each step. After 12 o'clock, 3 o'clock, and 6 o'clock, the next position is 9 o'clock.

Question 43Abstract reasoning

Consider the following series of concentric shapes: Figure 1 is a triangle inside a square. Figure 2 is a square inside a pentagon. Figure 3 is a pentagon inside a hexagon. What is Figure 4?

  1. A triangle inside a pentagon
  2. A hexagon inside a heptagon Correct answer.
  3. A hexagon inside an octagon
  4. A pentagon inside a heptagon

Explanation

The rule is that the inner shape has N sides and the outer shape has N + 1 sides, and N increases by 1 in each successive figure. Figure 1: N=3 (triangle in square). Figure 2: N=4 (square in pentagon). Figure 3: N=5 (pentagon in hexagon). Figure 4 must have N=6, which is a hexagon (6 sides) inside a heptagon (7 sides).

Question 44Abstract reasoning

A 2x2 grid of squares has one shaded square. The shaded square moves in the following sequence: top-left, top-right, bottom-right. Where is the shaded square in the next figure of the sequence?

  1. Top-left
  2. Top-right
  3. Bottom-left Correct answer.
  4. Bottom-right

Explanation

The shaded square moves clockwise around the 2x2 grid: top-left to top-right, then to bottom-right. The next position in the clockwise rotation is bottom-left.

Question 45Abstract reasoning

In a 3x3 visual matrix, the rows follow a pattern: - Row 1: Circle, Square, Triangle - Row 2: Square, Triangle, Circle - Row 3: Triangle, Circle, ? What shape should replace the question mark?

  1. Circle
  2. Square Correct answer.
  3. Triangle
  4. Pentagon

Explanation

Each row and column in the matrix must contain exactly one of each of the three shapes: Circle, Square, and Triangle. In Row 3, we have Triangle and Circle, so the missing shape is the Square.

Question 46Abstract reasoning

Consider a series of figures where each figure consists of a polygon containing dots. Figure 1 is a triangle containing 2 dots. Figure 2 is a square containing 3 dots. Figure 3 is a pentagon containing 4 dots. What is the next figure in the series?

  1. A hexagon containing 4 dots
  2. A hexagon containing 5 dots Correct answer.
  3. A heptagon containing 5 dots
  4. A pentagon containing 5 dots

Explanation

The number of sides of the polygon increases by 1 in each step (3, 4, 5, so the next is 6, a hexagon). The number of dots inside is always equal to the number of sides minus 1 (3-1=2, 4-1=3, 5-1=4). Therefore, the next figure must be a hexagon containing 5 dots.

Question 47Abstract reasoning

Find the next shape in the sequence: Large Circle, Medium Circle, Small Circle, Large Square, Medium Square, ...?

  1. Small Circle
  2. Large Square
  3. Small Square Correct answer.
  4. Medium Square

Explanation

The sequence repeats a sizing pattern (Large, Medium, Small) while changing the shape after each full cycle. The circle cycle is complete (Large, Medium, Small). The square cycle has started with Large and Medium, so the next term must be a Small Square.

Question 48Abstract reasoning

Consider the sequence: a triangle, a square, a pentagon. What is the next shape in the sequence?

  1. Circle
  2. Hexagon Correct answer.
  3. Heptagon
  4. Octagon

Explanation

The shapes are ordered by the number of sides: 3 (triangle), 4 (square), 5 (pentagon). The next term must have 6 sides, which is a hexagon.

Question 49Abstract reasoning

A sequence of figures is defined as follows: Figure 1 is two overlapping triangles. Figure 2 is two overlapping squares. Figure 3 is two overlapping pentagons. What is Figure 4 in the sequence?

  1. Two overlapping pentagons
  2. Two overlapping hexagons Correct answer.
  3. Two overlapping heptagons
  4. Three overlapping hexagons

Explanation

The sequence is defined by two overlapping regular polygons whose number of sides increases by 1 in each step. Figure 1: triangles (3 sides). Figure 2: squares (4 sides). Figure 3: pentagons (5 sides). Figure 4 must be two overlapping hexagons (6 sides).

Question 50Abstract reasoning

Which of the following figures is the 'odd-one-out' based on symmetry?

  1. A regular hexagon
  2. An equilateral triangle
  3. A scalene triangle Correct answer.
  4. A regular octagon

Explanation

A regular hexagon, an equilateral triangle, and a regular octagon all possess multiple lines of reflective symmetry. A scalene triangle, having sides of all different lengths, has no line of symmetry, making it the odd-one-out.