Luxembourg State Civil Service Recruitment Examination (Concours / EAG)

A civil servant earns a gross monthly salary of €4,000. A new index tranche under Luxembourg's automatic wage indexation (échelle mobile des salaires) is triggered, raising salaries by 2.5%. What is the new gross monthly salary?

• A€4,010
• B€4,050
• C€4,100
• D€4,202.50

A municipal infrastructure grant was €1,200,000 in 2025 and €1,440,000 in 2026. What was the percentage increase?

• A20.0%
• B16.7%
• C24.0%
• D120.0%

A regional office serves 48,000 residents with 24 full-time agents. What is the staffing ratio expressed in agents per 10,000 residents?

• A2.0 agents per 10,000 residents
• B5.0 agents per 10,000 residents
• C4.0 agents per 10,000 residents
• D8.0 agents per 10,000 residents

In a tender evaluation, the technical offer is weighted at 60% and the price offer at 40%, both scored out of 100. Bidder X scores 85 on the technical offer and 70 on price. What is Bidder X's weighted score?

• A76.0 points
• B77.5 points
• C51.0 points
• D79.0 points

A department had an operating budget of €650,000. Actual spending for the year was €598,000. What was the budget execution rate?

• A92.0%
• B88.0%
• C8.0%
• D108.7%

In a series of figures, a black dot sits in one corner of a square. In figure 1 it is in the top-left corner, and in each following figure it moves one corner clockwise. Where is the dot in figure 6?

• ATop-left corner
• BTop-right corner
• CBottom-right corner
• DBottom-left corner

An official works an 80% part-time schedule. The full-time gross monthly salary for the post is €5,250, and pay is prorated to working time. What is the official's gross monthly salary?

• A€1,050
• B€4,000
• C€4,725
• D€4,200

An online portal received 10,000 certificate requests in 2024. Requests rose by 20% in 2025 and by a further 15% in 2026. How many requests were received in 2026?

• A13,500 requests
• B12,000 requests
• C13,800 requests
• D3,800 requests

An archive digitises 16,000 files averaging 2.5 megabytes (MB) each. Using 1 gigabyte (GB) = 1,000 MB, how much storage is needed?

• A40 GB
• B400 GB
• C4 GB
• D32 GB

An internal pay rule states that authorised work on a public holiday is paid at 200% of the standard hourly rate. An official works 6 hours on a public holiday, and the standard rate is €28.50 per hour. What is the gross payment for these hours?

• A€171.00
• B€256.50
• C€342.00
• D€513.00

A front office has three counters. Counter 1 served 150 people with an average wait of 10 minutes, Counter 2 served 250 people with an average wait of 16 minutes, and Counter 3 served 100 people with an average wait of 25 minutes. What was the average wait per person across the office?

• A17.0 minutes
• B20.0 minutes
• C11.0 minutes
• D16.0 minutes

In each row of a figure series, the third figure contains only the lines that appear in exactly one of the first two figures; lines that appear in both disappear. In the last row, the first figure has a vertical line and a horizontal line, and the second figure has a horizontal line and a diagonal line. What does the third figure contain?

• AA vertical line and a diagonal line
• BA horizontal line only
• CA vertical, a horizontal and a diagonal line
• DA diagonal line only

A series of figures runs: white triangle, black square, white pentagon, black hexagon. What is the fifth figure?

• AA black heptagon
• BA white heptagon
• CA white hexagon
• DA black octagon

A training budget of €180,000 is shared among three directorates (General Administration, Information Systems and Social Affairs) in the ratio 3 : 4 : 5. How much does Information Systems receive?

• A€45,000
• B€75,000
• C€60,000
• D€72,000

An agency has 120 agents and 20 scheduled working days in the month, giving 2,400 potential working days. The agents record 144 days of sick leave. What is the absence rate for the month?

• A6.0%
• B12.0%
• C7.2%
• D1.2%

An IT project has four sequential phases lasting 12, 18, 25 and 15 working days. Management adds a 10% contingency buffer to the total. What is the planned duration including the buffer?

• A70 working days
• B77 working days
• C84 working days
• D80 working days

An office building used 450,000 kWh of energy in 2024 and 369,000 kWh in 2025 after renovation. What was the percentage reduction?

• A82.0%
• B81.0%
• C22.0%
• D18.0%

A ministry funds 65% of an approved municipal project, and the municipality pays the remaining 35%. The municipality's share is €87,500. What is the total project cost?

• A€250,000
• B€144,375
• C€162,500
• D€134,615

Seven permit files took 8, 14, 9, 22, 11, 15 and 12 working days to process. What is the absolute difference between the mean and the median processing time?

• A0 days
• B9 days
• C1 day
• D3 days

A mobile service bus has an annual budget of €168,000. During the year it visits 40 municipalities and completes 5,600 transactions. What is the average cost per transaction?

• A€4,200.00
• B€30.00
• C€300.00
• D€0.03

A service runs 15 pool vehicles, each driven 24,000 km per year. Average consumption is 6.5 litres per 100 km, and fuel costs €1.60 per litre. What is the annual fuel cost for the fleet?

• A€2,496
• B€23,400
• C€576,000
• D€37,440

A transformation rule changes every circle into a square, every square into a triangle and every triangle into a circle, and then reverses the order of the figures. The input is: circle, triangle, square, square. What is the output?

• ATriangle, triangle, circle, square
• BSquare, circle, triangle, triangle
• CSquare, square, triangle, circle
• DCircle, circle, square, triangle

Before a new scanning system was introduced, a tax office recorded 48 data-entry errors per 1,000 returns. Afterwards, it recorded 12 errors per 1,000 returns. What was the percentage reduction in the error rate?

• A25.0%
• B75.0%
• C300.0%
• D36.0%

In a budget scenario, ordinary state revenue is €28.0 billion and annual debt servicing (interest plus repayments) is €840 million. What percentage of revenue goes to debt servicing?

• A0.3%
• B30.0%
• C33.3%
• D3.0%

An agency compares two ways to digitise files. Doing it in-house costs €36,000 for scanners plus €0.80 per file. Outsourcing costs €2.00 per file with no fixed cost. At what number of files do the two approaches cost the same?

• A25,000 files
• B36,000 files
• C30,000 files
• D45,000 files

Read this extract from an internal circular: 'Telework is an optional arrangement subject to service needs and prior approval by the head of administration. In all cases, full-time agents must be physically present at their workplace for at least two working days per week.' Based only on this extract, which statement is certainly true?

• AAny agent who asks for telework is entitled to work remotely for up to three days per week
• BPart-time agents cannot apply for telework
• CService needs cannot require a full-time agent to be on site for more than two days per w…
• DA full-time agent cannot be authorised to telework more than three days in a five-day week

Premise 1: All officials who sit on a procurement evaluation committee have completed a declaration of interests this year. Premise 2: Marc is an official who has not completed a declaration of interests this year. Which conclusion follows necessarily?

• AMarc is not an official
• BMarc does not sit on a procurement evaluation committee
• CMarc has committed a disciplinary offence
• DMarc will be appointed to a committee once he completes a declaration

Read this statement: 'Automated decision-making in public services speeds up processing and reduces clerical errors. However, the algorithms must remain transparent, and citizens must be able to request human review and a written explanation whenever an automated process produces an unfavourable decision.' What is the main conclusion of the statement?

• AAutomation is worthwhile mainly because it speeds up processing
• BAutomated public decisions are acceptable only with transparency and a right to human rev…
• CReducing clerical errors is the only objective of digital administration
• DUnfavourable decisions may only ever be taken by human officials, never by algorithms or…

In a 3×3 figure matrix, each row follows the same rule. Row 1: circle, circle with an inscribed cross, shaded circle with an inscribed cross. Row 2: square, square with an inscribed cross, shaded square with an inscribed cross. Row 3: triangle, triangle with an inscribed cross, ?. What completes row 3?

• AA shaded triangle with no internal markings
• BA shaded triangle with an inscribed circle
• CAn unshaded triangle with two inscribed crosses
• DA shaded triangle with an inscribed cross

An internal leave rule states: 'Special leave for an agent's marriage is granted for three consecutive working days, the first of which must be the day of the civil ceremony.' An agent works Monday to Friday, and the civil ceremony is on a Friday. Which days make up the special leave?

• AFriday, Monday and Tuesday
• BThursday, Friday and Monday
• CWednesday, Thursday and Friday
• DFriday, Saturday and Sunday

Consider this statement: 'Holding a master's degree is a necessary condition for appointment to treatment group A1, but it is not a sufficient condition.' What does the statement mean?

• AAnyone who holds a master's degree will be appointed to treatment group A1
• BA master's degree can be replaced by equivalent professional experience
• CA1 appointment requires a master's degree, but having one does not guarantee appointment
• DSome A1 appointees may hold only a bachelor's degree if they perform well in the selection

A series of polygons has 3, 5, 8, 12 and 17 sides. How many sides will the next figure have?

• A21 sides
• B22 sides
• C24 sides
• D23 sides

Read this extract from a procedural guide: 'A request for reconsideration (recours gracieux) against an individual decision must be lodged within three months of notification. Lodging it interrupts the deadline for a court appeal until the administration replies, or for at most three months if the administration remains silent.' Based only on the extract, which statement is correct?

• AIf the administration does not reply within two months, the right to a court appeal is lo…
• BA request for reconsideration must be lodged before any court appeal is possible
• CIf the administration stays silent, the interruption ends after three months
• DThe court-appeal deadline stays interrupted for as long as the administration fails to re…

Which statement is logically equivalent to the rule: 'If an applicant fails to submit proof of language skills, the application is declared inadmissible'?

• AIf an application is declared admissible, the applicant submitted proof of language skills
• BIf an applicant submits proof of language skills, the application is declared admissible
• CIf an application is declared inadmissible, the applicant failed to submit proof of langu…
• DIf an applicant fails to submit proof of language skills, the application may still be ad…

In a series of figures, each figure has one more line segment than the previous one, and the fill alternates between white and grey. Figure 1 is white with 3 segments, figure 2 is grey with 4 segments, and figure 3 is white with 5 segments. What is figure 4?

• AA white figure with 6 segments
• BA grey figure with 6 segments
• CA grey figure with 5 segments
• DA white figure with 7 segments

In a diagram, three overlapping circles represent officials who speak French (A), German (B) and Luxembourgish (C). Which group does the region (A ∩ B) \ C represent?

• AOfficials who speak Luxembourgish but neither French nor German
• BOfficials who speak all three languages
• COfficials who speak French only
• DOfficials who speak French and German but not Luxembourgish

Consider this argument: 'To reduce traffic congestion, the government made public transport free. Two years later, congestion has not fallen significantly. So ticket prices have no influence on how commuters choose to travel.' Which option identifies the main flaw in the argument?

• AIt assumes that congestion is caused mainly by buses and trains rather than by private ca…
• BIt ignores other causes, such as population growth, that could keep congestion high
• CIt ignores that free public transport is available only to registered residents
• DIt confuses a fall in ticket prices with an improvement in the quality and frequency of s…

Premise 1: No statutory civil servant (fonctionnaire de l'État) is engaged under an employment contract. Premise 2: Every state employee (employé de l'État) is engaged under an employment contract. Alex is engaged under an employment contract. Which conclusion is logically certain?

• AAlex is a state employee
• BAlex is neither a state employee nor a statutory civil servant
• CAlex is not a statutory civil servant
• DEveryone engaged under an employment contract is a state employee

In a 3×3 matrix, each row contains one circle, one square and one triangle, and each column contains one black, one grey and one white figure. Row 1: black circle, grey square, white triangle. Row 2: grey triangle, white circle, black square. Row 3: white square, black triangle, ?. What is the missing figure?

• AA white circle
• BA black circle
• CA grey circle
• DA grey triangle

In a figure series, each figure is an outer polygon containing an inner polygon, and the inner polygon must have exactly two fewer sides than the outer one. Which figure follows the rule?

• AAn outer hexagon containing an inner triangle
• BAn outer octagon containing an inner hexagon
• CAn outer pentagon containing an inner square
• DAn outer heptagon containing an inner quadrilateral

An access-to-documents rule states: 'Any person may request access to documents held by the administration. Access is refused where disclosure would harm national security, public safety, international relations or the commercial confidentiality of a third party.' Under this rule alone, which request could be refused?

• AA request for the published annual activity report of a public agency
• BA request for the total number of applications received in a recruitment campaign
• CA request for the detailed technical plans of a critical energy installation
• DA request for the organisation chart of a ministry

An eligibility rule is written as E = A ∧ (B ∨ C), where A = 'the applicant lives in Luxembourg', B = 'household income is below €45,000' and C = 'the applicant is a single parent with dependent children'. Which applicant is eligible?

• AA non-resident with income of €38,000 who is a single parent
• BA resident with income of €52,000 who is not a single parent
• CA non-resident with income of €60,000 who is not a single parent
• DA resident with income of €55,000 who is a single parent with one child

A pointer starts facing North (0°). It turns 45° clockwise, then 90° clockwise, then 135° clockwise, and finally 90° counter-clockwise. Which direction does it face at the end?

• ASouth (180°)
• BNorth (0°)
• CWest (270°)
• DNorth-West (315°)

An audit report states: 'In 2024, the administration spent €14.2 million on external IT consultants, 28% more than in 2022. To control costs over the long term, the ministry should build an internal team of permanent software engineers.' How should the two sentences be classified?

• ABoth sentences are recommendations
• BBoth sentences are factual findings
• CThe first sentence is a recommendation and the second is a factual finding
• DThe first sentence is a factual finding and the second is a recommendation

Five sessions (Finance, HR, Legal, Operations, Procurement) are scheduled Monday to Friday, one per day. Legal is on the day immediately before Procurement. HR is on Wednesday. Operations is later in the week than HR. Finance is not on Tuesday. Which statement must be true?

• AFinance is on Thursday
• BOperations is on Friday
• CProcurement is on Tuesday
• DLegal is on Thursday

Five figures are shown. A: a regular hexagon divided into 6 triangles from its centre. B: a square divided into 4 equal squares. C: an equilateral triangle divided into 4 equal equilateral triangles. D: a circle divided into 3 sectors of 120°. E: a rectangle that is not a square, divided into 4 triangles by its two diagonals. Which figure is the odd one out?

• AFigure B
• BFigure C
• CFigure D
• DFigure E

An internal disciplinary guide states: 'When an official is being prosecuted for a serious offence incompatible with their duties, the appointing authority may suspend the official. Suspension is a precautionary measure; it is not a disciplinary sanction and does not imply guilt.' What follows directly from this text?

• ASuspension can be ordered before a court has ruled on guilt or innocence
• BSuspension permanently removes the official's status
• CA suspended official has already been found guilty of a disciplinary offence
• DEvery official accused of any offence must be suspended