100+ Free MCA GES I Practice Questions

Prepare for the MCA General Engineering Science I (Applied Mechanics & Mathematics) exam with instant access — no signup required.

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MCA General Engineering Science II

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Key Facts: MCA GES I Exam

GES I is the MCA/IAMI written science module pairing Applied Mechanics with Mathematics. MIN 565 requires at least 40% in each section and 50% overall. Use this free 100-question MCQ adaptation to drill calculations before the official written paper.

Sample MCA GES I Practice Questions

Try these sample questions to test your MCA GES I exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Convert the vulgar fraction 7/8 to a decimal fraction correct to 3 decimal places.

A.0.870

B.0.875

C.0.880

D.0.785

Explanation: Divide 7 by 8: 7 ÷ 8 = 0.875 exactly. To 3 decimal places the value is 0.875.

2Evaluate 3/5 + 1/4 − 1/10.

A.0.65

B.0.75

C.0.85

D.0.55

Explanation: Common denominator 20: 3/5 = 12/20, 1/4 = 5/20, 1/10 = 2/20. So 12/20 + 5/20 − 2/20 = 15/20 = 0.75.

3Express 0.36 as a percentage.

A.3.6%

B.0.36%

C.360%

D.36%

Explanation: Multiply by 100: 0.36 × 100 = 36%.

4A mixture requires sand and cement in the ratio 4:1 by mass. How many kilograms of cement are needed with 120 kg of sand?

A.30 kg

B.24 kg

C.40 kg

D.48 kg

Explanation: Sand:cement = 4:1. Cement = (1/4) × sand = 120/4 = 30 kg.

5A component costs £80. After a 15% discount, what is the sale price?

A.£65

B.£72

C.£68

D.£70

Explanation: Discount = 0.15 × 80 = £12. Sale price = 80 − 12 = £68. Equivalently 80 × 0.85 = 68.

6Divide 5/6 by 2/3.

A.5/9

B.10/18

C.5/4

D.3/5

Explanation: Division of fractions: multiply by the reciprocal. (5/6) × (3/2) = 15/12 = 5/4.

7A fuel tank holds 2.5 m³ when full. It is emptied until 0.4 of its capacity remains. How many litres remain?

A.1000 L

B.400 L

C.2500 L

D.600 L

Explanation: Remaining volume = 0.4 × 2.5 = 1.0 m³. 1 m³ = 1000 L, so 1000 L remain.

8If 12 engineers complete a task in 8 hours at constant rate, how long do 16 engineers take for the same task?

A.10 hours

B.5.5 hours

C.6 hours

D.7 hours

Explanation: Work is inverse to workforce (constant total man-hours). Man-hours = 12 × 8 = 96. Time = 96/16 = 6 hours.

9Express 2.5% as a decimal fraction.

A.0.025

B.0.25

C.2.5

D.0.0025

Explanation: Percent means per hundred: 2.5% = 2.5/100 = 0.025.

10A gear ratio is 3.5:1. If the driven shaft turns at 420 rev/min, the driver speed is:

A.120 rev/min

B.840 rev/min

C.210 rev/min

D.1470 rev/min

Explanation: Ratio driver:driven = 3.5:1 means driver = 3.5 × driven = 3.5 × 420 = 1470 rev/min.

About the MCA GES I Exam

MCA General Engineering Science I covers Applied Mechanics and Mathematics for engineer Certificate of Competency pathways that require GES. The official paper is a written examination run by IAMI for the MCA. This free 2026 bank is an English MCQ study adaptation with worked solutions across the published syllabus.

Assessment

Two sections under MIN 565 (M): Applied Mechanics and Mathematics. Candidates must score at least 40% in each section and at least 50% overall to pass the module.

Time Limit

Confirm current written-paper duration with your IAMI examination centre (official timing applies to the written sitting; this practice bank is untimed self-study).

Passing Score

Minimum 40% in each section (Applied Mechanics and Mathematics) and minimum 50% overall (MIN 565 (M))

Exam Fee

Set by the booking centre / training provider; confirm before entry. OpenExamPrep practice content is free. (Maritime and Coastguard Agency (MCA); written examinations administered by IAMI)

MCA GES I Exam Content Outline

~50% (section; min 40% to pass section)

Mathematics

Fractions, decimals, percentages, ratio and proportion; directed numbers and indices; linear equations and graphs (gradient and intercept); degrees/radians and right-triangle trigonometry; similar triangles; annulus area, mid-ordinate rule, surface area and volume of cylinder, pyramid, cone and sphere; mass from volume and density.

~50% (section; min 40% to pass section)

Applied Mechanics

Kinematics (distance–time and velocity–time graphs, linear and angular motion); dynamics (momentum, F=ma, pressure units bar/Pa/gauge/absolute, work, energy, power); statics (moments, beams, levers, vectors, resolution of forces, triangle of forces and Bow’s notation); friction (static/dynamic, μ, lubrication); machines (screw jack, differential systems, MA, VR, efficiency, E=aW+c); strength of materials (direct stress and strain, load–extension for mild steel, ductile vs brittle graphs, factor of safety, shear).

How to Pass the MCA GES I Exam

What You Need to Know

Passing score: Minimum 40% in each section (Applied Mechanics and Mathematics) and minimum 50% overall (MIN 565 (M))
Assessment: Two sections under MIN 565 (M): Applied Mechanics and Mathematics. Candidates must score at least 40% in each section and at least 50% overall to pass the module.
Time limit: Confirm current written-paper duration with your IAMI examination centre (official timing applies to the written sitting; this practice bank is untimed self-study).
Exam fee: Set by the booking centre / training provider; confirm before entry. OpenExamPrep practice content is free.

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

MCA GES I Study Tips from Top Performers

1Drill unit conversions early: bar ↔ Pa, rev/min ↔ rad/s, and m³ ↔ litres — they appear across mechanics and mensuration.

2Memorise the MIN 565 rule: 40% minimum in each section and 50% overall; do not neglect the weaker section.

3For machines, always distinguish MA (load/effort), VR (distance ratio), and η = MA/VR.

4Sketch s–t and v–t graphs: gradient is speed or acceleration; area under v–t is displacement.

5In strength of materials, keep stress (F/A) and strain (δL/L) separate, then apply FoS = ultimate/working stress.

Frequently Asked Questions

What is the pass mark for MCA GES I?

Under MIN 565 (M), candidates must achieve a minimum of 40% in each section (Applied Mechanics and Mathematics) and a minimum of 50% overall to pass the module.

Who administers the GES I examination?

The Maritime and Coastguard Agency (MCA) owns the certification framework; the General Engineering Science written examinations are administered by the International Association of Maritime Institutions (IAMI).

What topics are on the GES I syllabus?

Mathematics (fractions/ratios, algebra, graphs, trigonometry, geometry/mensuration) and Applied Mechanics (kinematics, dynamics, statics, friction, machines, strength of materials), as published on GOV.UK.

Is the official exam multiple choice?

No. The official GES I assessment is a written examination paper. This free bank is an English-language multiple-choice study adaptation for practice and does not replace the official written paper.

How is GES I related to GES II?

GES I covers Applied Mechanics and Mathematics. GES II covers Applied Heat plus Electrotechnology and Naval Architecture. Both use the same MIN 565 section and overall pass rules.