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100+ Free ESNAMIL Examen Intelectual Practice Questions

Prepare for the Escuela Naval Militar 'Eduardo Avaroa Hidalgo' Examen Intelectual (Bolivia) exam with instant access — no signup required.

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2026 Statistics

Key Facts: ESNAMIL Examen Intelectual Exam

51/100

Intellectual Minimum

ESNAMIL Prospecto de Admisión

Bs 400

Prospectus Fee

Armada Boliviana

Carcaje, Cochabamba

Academy Location

Armada Boliviana Portal

Arithmetic, Algebra, Trigonometry, Language, History, English

Tested Disciplines

ESNAMIL Prospecto de Admisión 2026, Annex A

17–22 years

Age Requirement

Armada Boliviana Directive

This 100-question bank is an English-language MCQ study adaptation for the ESNAMIL intellectual admission exam. It covers the six subjects in the 2026 prospectus: arithmetic, algebra, trigonometry, language, Bolivian history, and English. It is not an official translation or format replica and cannot substitute for the mandatory medical, psychological, physical, swimming, or interview stages.

Sample ESNAMIL Examen Intelectual Practice Questions

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

1What is the Greatest Common Divisor (MCD) and Least Common Multiple (MCM) of the numbers 72, 108, and 180?
A.MCD = 36, MCM = 1080
B.MCD = 18, MCM = 2160
C.MCD = 36, MCM = 540
D.MCD = 12, MCM = 1080
Explanation: Prime factorizations: 72 = 2^3 * 3^2; 108 = 2^2 * 3^3; 180 = 2^2 * 3^2 * 5. MCD is the product of common prime factors with lowest exponents: 2^2 * 3^2 = 4 * 9 = 36. MCM is the product of all prime factors with highest exponents: 2^3 * 3^3 * 5 = 8 * 27 * 5 = 1080.
2Factor the polynomial completely: 6x^2 + 11x - 10.
A.(2x + 5)(3x - 2)
B.(2x - 5)(3x + 2)
C.(6x - 5)(x + 2)
D.(x + 5)(6x - 2)
Explanation: Find factors of 6 * (-10) = -60 that add to 11: +15 and -4. Rewrite: 6x^2 + 15x - 4x - 10 = 3x(2x + 5) - 2(2x + 5) = (2x + 5)(3x - 2).
3Solve for x: (2x + 1)/4 + (x - 1)/2 = 11/4.
A.x = 3
B.x = 5
C.x = -3
D.x = 7
Explanation: Multiply by 4: (2x + 1) + 2(x - 1) = 11. Combining terms gives 4x - 1 = 11, so 4x = 12 and x = 3.
4If 6 naval patrol boats consume 3,600 liters of marine diesel in 10 days of continuous river patrolling, how many liters of diesel will 4 patrol boats of the same type consume in 15 days?
A.3,600 liters
B.2,400 liters
C.4,800 liters
D.1,800 liters
Explanation: Fuel consumption is directly proportional to both the number of boats and the number of days: Consumption per boat per day = 3,600 / (6 * 10) = 3,600 / 60 = 60 L/boat-day. For 4 boats operating 15 days: Total = 4 * 15 * 60 = 60 * 60 = 3,600 liters.
5Solve for x in the logarithmic equation: log_2(x + 6) - log_2(x - 1) = 3.
A.x = 2
B.x = 3
C.x = 1/2
D.x = 4
Explanation: Using the quotient property of logarithms: log_2((x + 6) / (x - 1)) = 3 => (x + 6) / (x - 1) = 2^3 = 8. Multiply both sides: x + 6 = 8(x - 1) => x + 6 = 8x - 8 => 14 = 7x => x = 2.
6How many liters of pure water must be added to 30 liters of a 40% saline solution to dilute it to a 24% saline concentration?
A.20 liters
B.15 liters
C.10 liters
D.25 liters
Explanation: Amount of pure salt present = 30 L * 0.40 = 12 liters of salt. Let W be the volume of added water. The new concentration is 12 / (30 + W) = 0.24 => 12 = 0.24(30 + W) => 12 = 7.2 + 0.24W => 4.8 = 0.24W => W = 4.8 / 0.24 = 20 liters.
7A naval logistics warehouse stores small and large cargo containers. Five small and three large containers have a combined mass of 31 tons, while three small and two large containers have a combined mass of 19 tons. What is the mass of one large container?
A.2 tons
B.5 tons
C.4 tons
D.3 tons
Explanation: Let s and L be the masses in tons. The equations are 5s + 3L = 31 and 3s + 2L = 19. Doubling the first and tripling the second gives 10s + 6L = 62 and 9s + 6L = 57, so s = 5. Then 3(5) + 2L = 19, giving L = 2 tons.
8What is the integer solution set for the inequality (x - 3) / (x + 2) <= 0?
A.Integers: -1, 0, 1, 2, 3
B.Integers: -2, -1, 0, 1, 2, 3
C.Integers: 0, 1, 2, 3
D.Integers: -1, 0, 1, 2
Explanation: The critical points are x = -2 (denominator, excluded) and x = 3 (numerator, included). The rational fraction is negative in the half-open interval (-2, 3]. The integers in this interval are -1, 0, 1, 2, 3.
9Simplify the arithmetic expression: (1/2 + 2/3) / (3/4 - 1/6).
A.2
B.7/5 = 1.4
C.5/2 = 2.5
D.1
Explanation: Numerator: 1/2 + 2/3 = 3/6 + 4/6 = 7/6. Denominator: 3/4 - 1/6 = 9/12 - 2/12 = 7/12. Dividing numerator by denominator: (7/6) / (7/12) = (7/6) * (12/7) = 12 / 6 = 2.
10On a chart with scale 1:50,000, two points are 7.2 cm apart. What ground distance does this represent?
A.3.6 km
B.36 km
C.0.36 km
D.7.2 km
Explanation: At 1:50,000, each chart centimeter represents 50,000 cm = 500 m. Thus 7.2 cm represents 7.2 * 500 m = 3,600 m = 3.6 km.

About the ESNAMIL Examen Intelectual Exam

Prepare for the Bolivian Naval Academy (ESNAMIL) intellectual admission exam with 100 free practice questions on arithmetic, algebra, trigonometry, language, Bolivian history, and English. English-language study adaptation.

Assessment

Question count not published by the exam provider

Time Limit

Not published as a single fixed duration; administered in subject sessions

Passing Score

Minimum 51/100 on intellectual and physical evaluations; satisfactory results on other selection phases

Exam Fee

Bs 400 for the official admission prospectus, plus medical and laboratory checkups (Escuela Naval Militar 'Eduardo Avaroa Hidalgo')

ESNAMIL Examen Intelectual Exam Content Outline

Practice bank: 25%

Aritmética y Álgebra

Factoring, rational equations, quadratic roots, linear systems, and proportions.

Practice bank: 15%

Trigonometría y Geometría

Right triangle trigonometry, Law of Cosines, navigation vectors, and geometric solids.

Practice bank: 20%

Lenguaje

Spanish phonetics, morphology, semantics, orthography, grammar, punctuation, and sentence structure.

Practice bank: 20%

Historia de Bolivia

Pre-Hispanic, colonial, independence, republican, war, revolution, and contemporary history topics.

Practice bank: 20%

Inglés

Basic grammar and vocabulary from the published English outline, including routines, family, classroom, military, and transport terms.

How to Pass the ESNAMIL Examen Intelectual Exam

What You Need to Know

  • Passing score: Minimum 51/100 on intellectual and physical evaluations; satisfactory results on other selection phases
  • Assessment: Question count not published by the exam provider
  • Time limit: Not published as a single fixed duration; administered in subject sessions
  • Exam fee: Bs 400 for the official admission prospectus, plus medical and laboratory checkups

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

ESNAMIL Examen Intelectual Study Tips from Top Performers

1Practice solving arithmetic, algebraic equations, and trigonometric triangle problems by hand.
2Memorize key milestones in Bolivian naval history, including the 1879 Battle of Calama, Eduardo Avaroa's defense of Topáter, and Bolivia's river sovereignty on the Amazon and Paraguay-Paraná waterways.
3Review Standard Marine Communication Phrases (SMCP), maritime vocabulary (port, starboard, draught, bridge), and English grammar.
4Combine academic study with swimming and calisthenics training to ensure meeting the 51/100 physical standard.

Frequently Asked Questions

What are the age and marital eligibility requirements for ESNAMIL?

Candidates must be Bolivian by birth, aged 17 to 22 as of December 31, 2025, single without a domestic partnership or children, and hold an official Bachiller diploma.

How much does the ESNAMIL prospectus cost?

The official admission prospectus costs Bs 400, payable to the designated fiscal account of the Armada Boliviana.