Is Russian tested only for foreign-study places?

The Ministry's accessible notice lists written Tajik and Russian among the Institute admission subjects. It does not confine Russian to foreign-study quotas.

Are the official assessments English MCQs?

No such official format or English delivery was verified. This is an independent English-language MCQ study adaptation; the notice names written subjects and oral physics.

Are the 2024 eligibility and intake figures current for 2026?

They should not be assumed current. The Institute's 2026 activity is separately confirmed, but a newer detailed intake specification was not verified. Contact the Institute or local military commissariat for current requirements, fees, timing and physical norms.

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Free Practice Questions for Military Institute Entrance (Tajikistan)

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Sample Military Institute Entrance (Tajikistan) Practice Questions

Try these sample questions to review concepts for the Military Institute Entrance (Tajikistan) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 40+ question experience with AI tutoring.

1Solve 4x + 15 = 39.

A.x = 13.5

B.x = 6

C.x = 24

D.x = 9.75

Explanation: Subtracting 15 gives 4x = 24. Dividing by 4 gives x = 6, and substituting it into the original equation gives 39.

2A rectangular ground measures 150 m by 80 m. What is its perimeter?

A.460 m

B.310 m

C.12,000 m

D.230 m

Explanation: A rectangle has two sides of each length. Its perimeter is 2(150 + 80) = 460 m.

3A vehicle covers 240 km at a constant speed of 60 km/h. How long does the journey take?

A.4 h

B.3 h

C.5 h

D.0.25 h

Explanation: Travel time is distance divided by speed. The journey takes 240/60 = 4 h.

4Evaluate sin²(30°) + cos²(30°).

A.0.5

B.2

C.1

D.0.25

Explanation: The identity sin² θ + cos² θ = 1 applies to the same angle θ. Here the terms are 1/4 and 3/4, whose sum is 1.

5What is the hypotenuse of a right triangle with perpendicular legs 9 cm and 12 cm?

A.21 cm

B.15 cm

C.108 cm

D.225 cm

Explanation: Pythagoras' theorem gives c² = 9² + 12² = 225. Taking the positive square root gives c = 15 cm.

6For a ≠ 0, simplify (a³ × a⁵)/a².

A.a¹⁵

B.a⁸

C.a¹⁰

D.a⁶

Explanation: Multiplication adds exponents and division subtracts them when the base is the same. The resulting exponent is 3 + 5 - 2 = 6.

7Find both roots of 7x² - 23x + 6 = 0.

A.3 and 2/7

B.-3 and -2/7

C.2 and 3/7

D.3 and 7/2

Explanation: The polynomial factors as (7x - 2)(x - 3). The zero-product property gives x = 2/7 or x = 3.

8For u = (3, 4) and v = (5, -2), what is the dot product u · v?

A.23

B.-7

C.7

D.15

Explanation: Multiply matching components and add: u · v = 3 × 5 + 4 × (-2). This gives 15 - 8 = 7.

9Solve 2x + 3y = 19 and 3x - y = 1 simultaneously.

A.x = 5, y = 3

B.x = 3, y = 4

C.x = 4, y = 2

D.x = 2, y = 5

Explanation: The second equation gives y = 3x - 1. Substituting into the first gives 11x = 22, so x = 2 and y = 5.

10An arithmetic progression starts at 5 and has common difference 4. What is its tenth term?

A.45

B.41

C.40

D.36

Explanation: The nth term is a₁ + (n - 1)d. There are nine increments before the tenth term, giving 5 + 9 × 4 = 41.

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