Free Practice Questions for Turkmenistan Military Institute Entrance Exams

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Key Facts: Turkmenistan Military Institute Entrance Exams Exam

3 subjects

Academic entrance examination subjects: mathematics, physics, and History of Turkmenistan

Ministry of Defence of Turkmenistan admission procedure

5 years

Standard duration of higher professional officer training at the Military Institute

Ministry of Defence of Turkmenistan

Turkmen

Language of administration for all entrance examinations

Ministry of Defence admission notice

Up to 24/25

Age eligibility: up to 24 for conscript/volunteer applicants, up to 25 for military school graduates

Ministry of Defence admission regulations

1 May 2026

Application deadline for the 2026–2027 intake, at the local military commissariat

Ministry of Defence admission procedure

Turkmenistan Military Institute entrance involves competitive testing in mathematics, physics, and History of Turkmenistan in Turkmen, plus physical fitness norms. This English MCQ bank provides independent subject practice.

Sample Turkmenistan Military Institute Entrance Exams Practice Questions

Try these sample questions to review concepts for the Turkmenistan Military Institute Entrance Exams exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve the equation 2x² + x - 6 = 0.

A.x = 3/2 and x = -2

B.x = -3/2 and x = 2

C.x = 3 and x = -4

D.x = 6 and x = -8

Explanation: Using the quadratic formula x = (-b ± √(b² - 4ac)) / (2a) with a = 2, b = 1 and c = -6: the discriminant is Δ = 1² - 4(2)(-6) = 1 + 48 = 49, so √Δ = 7. Thus x = (-1 ± 7) / 4, giving x₁ = 6/4 = 3/2 and x₂ = -8/4 = -2. Check: 2(3/2)² + 3/2 - 6 = 4.5 + 1.5 - 6 = 0.

2The first term of an arithmetic progression is 4, and each term is 3 greater than the one before it. Find the sum S₂₀ of its first twenty terms.

A.620

B.650

C.680

D.1300

Explanation: The sum of an arithmetic progression is S_n = (n/2) · [2a₁ + (n - 1)d]. Here S₂₀ = (20/2) · [2(4) + 19(3)] = 10 · (8 + 57) = 10 · 65 = 650. Equivalently, a₂₀ = 4 + 19 · 3 = 61 and S₂₀ = (4 + 61)/2 · 20 = 650.

3For which values of x is the fraction (x + 1) / (x - 5) non-negative?

A.(-∞, -1] ∪ [5, ∞)

B.(-∞, -1] ∪ (5, ∞)

C.[-1, 5)

D.(-∞, -1) ∪ (5, ∞)

Explanation: The critical points are x = -1 (numerator zero) and x = 5 (denominator zero). By the interval method, the fraction is positive for x < -1, negative for -1 < x < 5 and positive for x > 5. Because the inequality is non-strict, x = -1 (where the fraction equals 0) is included, but x = 5 is excluded because the fraction is undefined there: (-∞, -1] ∪ (5, ∞).

4What is the value of x that satisfies the logarithmic equation log₂(x + 5) + log₂(x - 2) = 3?

A.x = 3

B.x = 4

C.x = -6

D.x = 5

Explanation: Applying the product rule for logarithms gives log₂[(x + 5)(x - 2)] = 3, which implies (x + 5)(x - 2) = 2³ = 8. Expanding yields x² + 3x - 10 = 8, so x² + 3x - 18 = 0, which factors into (x + 6)(x - 3) = 0. Since the argument of a logarithm must be strictly positive (x > 2), x = -6 is extraneous, leaving x = 3.

5Solve the exponential equation 3^(2x - 1) = 27^(x - 2). What is x?

A.x = 3

B.x = 5

C.x = 7

D.x = 4

Explanation: Rewrite 27 as 3³: 3^(2x - 1) = (3³)^(x - 2) = 3^(3x - 6). Equating the exponents gives 2x - 1 = 3x - 6. Solving for x yields 3x - 2x = 6 - 1, so x = 5.

6In a geometric progression, the second term is b₂ = 6 and the fifth term is b₅ = 48. What is the first term b₁?

A.1

B.2

C.3

D.4

Explanation: In a geometric progression, b₅ / b₂ = (b₁ · q⁴) / (b₁ · q) = q³ = 48 / 6 = 8. Thus the common ratio is q = ∛8 = 2. Since b₂ = b₁ · q = 6, we find b₁ = 6 / 2 = 3.

7What is the simplified form of the trigonometric expression (sin 2α) / (1 + cos 2α)?

A.cot α

B.tan α

C.sin α

D.cos α

Explanation: Using standard double-angle formulas: sin 2α = 2 sin α cos α and 1 + cos 2α = 2 cos² α. Dividing them gives (2 sin α cos α) / (2 cos² α) = sin α / cos α = tan α.

8What are all solutions to the equation 2 sin x - 1 = 0 on the interval [0, 2π)?

A.x = π/6 and x = 5π/6

B.x = π/3 and x = 2π/3

C.x = 7π/6 and x = 11π/6

D.x = π/6 and x = 7π/6

Explanation: The equation 2 sin x - 1 = 0 simplifies to sin x = 1/2. On the interval [0, 2π), the sine function equals 1/2 in the first quadrant at x = π/6 and in the second quadrant at x = π - π/6 = 5π/6.

9Solve the radical equation √(x + 7) = x - 5. Which value is the true solution?

A.x = 2

B.x = 9

C.x = 2 and x = 9

D.x = 4

Explanation: Squaring both sides gives x + 7 = (x - 5)² = x² - 10x + 25, so x² - 11x + 18 = 0, which factors as (x - 2)(x - 9) = 0. Checking x = 9: √16 = 4 and 9 - 5 = 4, so it satisfies the original equation. Checking x = 2: √9 = 3 but 2 - 5 = -3, so x = 2 is an extraneous root introduced by squaring.

10What is the domain of the function f(x) = √(16 - x²) / (x - 2)?

A.[-4, 4]

B.[-4, 2) ∪ (2, 4]

C.(-4, 4)

D.(-∞, -4] ∪ [4, ∞)

Explanation: For the square root to be real, 16 - x² ≥ 0, which gives -4 ≤ x ≤ 4. The denominator cannot be zero, which requires x - 2 ≠ 0, or x ≠ 2. Combining these conditions gives [-4, 2) ∪ (2, 4].

About the Turkmenistan Military Institute Entrance Exams Exam

Independent practice for the entrance examinations to the Military Institute of the Ministry of Defence of Turkmenistan named after Great Saparmurat Turkmenbashy (Beýik Saparmyrat Türkmenbaşy adyndaky Harby instituty). The examinations test secondary-school mathematics, physics, and History of Turkmenistan in the state language. This bank is an independent English-language MCQ study adaptation: it is not an official translation, does not simulate official paper administration, and provides no substitute for physical fitness training or military medical clearance.

Exam sponsor: Ministry of Defence of Turkmenistan (Türkmenistanyň Goranmak ministrligi). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Entrance examinations in three subjects — mathematics, physics and History of Turkmenistan — based on the secondary-school curricula and conducted in Turkmen, plus additional physical-fitness requirements. Applications go through the local military commissariat (harby wekillik); the file includes a medical card certifying fitness to study and the results of preliminary tests held at the commissariat or military unit.

Time Limit

not-published

Passing Score

not-published

Exam / Certification Fees

No examination fee published

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Admission procedure for military educational institutions of the Ministry of Defence of Turkmenistan (Turkmenportal) · Source checked 2026-10-20Summary of the 2026–2027 admission procedure published in the newspaper «Türkmenistan» on 16 December 2025: eligibility, 1 May 2026 application deadline, the three examination subjects, additional physical-fitness requirements and Turkmen as the examination language.
2025–2026 admission procedure of the Great Saparmurat Turkmenbashy Military Institute (Ministry of Defence portal) · Source checked 2026-10-20Ministry of Defence publication of the previous year's admission procedure for the Military Institute.
2025–2026 admission procedure of the Ministry of Defence Naval Institute (Zaman Türkmenistan) · Source checked 2026-10-20Full text of a parallel Ministry of Defence procedure: entrance examinations in mathematics, physics and History of Turkmenistan on the secondary-school curricula, physical-fitness norms, Turkmen language, required documents including a medical card, and admission by decision of the Ministry's examination commission.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

35% of this practice bank

Mathematics

Algebraic equations and inequalities, sequences and progressions, trigonometry, differential calculus, integrals, and stereometry.

35% of this practice bank

Physics

Kinematics, dynamics, conservation laws, thermodynamics and ideal gas laws, direct-current circuits, electromagnetism, and optics.

30% of this practice bank

History of Turkmenistan

Bronze Age Margiana, Parthian Nisa, the Seljuk state, 18th–19th-century history and resistance, 1916 uprising, Soviet era, and independent Turkmenistan.

Preparing for the Turkmenistan Military Institute Entrance Exams Exam

What You Need to Know

Passing score: not-published
Assessment: Entrance examinations in three subjects — mathematics, physics and History of Turkmenistan — based on the secondary-school curricula and conducted in Turkmen, plus additional physical-fitness requirements. Applications go through the local military commissariat (harby wekillik); the file includes a medical card certifying fitness to study and the results of preliminary tests held at the commissariat or military unit.
Time limit: not-published
Exam / certification fees: No examination fee published Official sources

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Turkmenistan Military Institute Entrance Exams: Suggested Study Strategy

1Review core secondary-school mathematics topics, including quadratic and trigonometric equations, logarithmic properties, derivatives, and spatial geometry formulas.

2Work through fundamental physics problems in mechanics, the ideal gas law (Mendeleev-Clapeyron equation), circuit analysis using Ohm's and Kirchhoff's laws, and wave optics.

3Ground your study of the History of Turkmenistan in the official secondary-school curriculum and textbooks, focusing on ancient cultures, medieval states, 19th-century events and the milestones of independent statehood.

4Keep up regular physical training alongside academic study, and ask your local military commissariat for the current physical-fitness norms.

Frequently Asked Questions

Which subjects are tested for admission to the Military Institute?

Under the Ministry of Defence admission procedure, applicants take entrance examinations in three academic subjects: mathematics, physics, and History of Turkmenistan, based on the secondary-school curriculum. All examinations are conducted in the Turkmen language.

What additional requirements exist beyond academic examinations?

The admission procedure sets additional physical-fitness requirements, and the application file must include a medical card certifying fitness to study at the Military Institute. The specific norms are explained by the local military commissariat (harby wekillik), where applications are submitted.

Who is eligible to apply for the Military Institute?

Eligible candidates are male citizens of Turkmenistan with secondary education: those up to 24 years old who have completed conscript military service or volunteer for military service, graduates of specialised military schools up to 25 years old, and contract soldiers up to 24 years old.

Is this practice bank an official test?

No. It is an independent English-language MCQ study adaptation designed to help candidates review the three academic subjects. It is not an official translation, does not simulate the examinations, which are held in Turkmen, and does not replace physical-fitness preparation.