100+ Free BTEB Diploma in Engineering Semester Final Examinations Practice Questions

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2026 Statistics

Key Facts: BTEB Diploma in Engineering Semester Final Examinations Exam

100

Practice MCQs

Open Exam Prep

40%

Pass Mark per Subject

BTEB Probidhan 2022

4.00 GPA

Grading Scale

BTEB Regulations

4 Years

Program Duration

BTEB Curriculum

8 Semesters

Academic Cycles

Polytechnic Framework

6 Domains

Core Foundation Areas

Probidhan 2022 Syllabus

The BTEB Diploma in Engineering semester final examination is Bangladesh's national polytechnic assessment series under Probidhan 2022. It validates foundational engineering science, mathematical computation, circuit analysis, programming, and technical drawing across 8 semesters. This free practice bank provides 100 curriculum-aligned multiple-choice questions with step-by-step solutions.

Sample BTEB Diploma in Engineering Semester Final Examinations Practice Questions

Try these sample questions to test your BTEB Diploma in Engineering Semester Final Examinations exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If the roots of the quadratic equation 2x² - 6x + k = 0 are real and equal, what is the value of k?

A.4.5

B.9.0

C.3.0

D.6.0

Explanation: For a quadratic equation ax² + bx + c = 0 to have real and equal roots, its discriminant (b² - 4ac) must equal zero. Here, a = 2, b = -6, and c = k. Setting (-6)² - 4(2)(k) = 0 yields 36 - 8k = 0, which gives k = 36 / 8 = 4.5.

2What is the 10th term of an arithmetic progression (AP) whose first term is 4 and common difference is 3?

A.31

B.28

C.34

D.30

Explanation: The n-th term of an AP is given by T_n = a + (n - 1)d. Here, a = 4, d = 3, and n = 10. Thus, T_10 = 4 + (10 - 1) × 3 = 4 + 27 = 31.

3In the expansion of (x + 2/x)⁶, what is the value of the term independent of x?

A.160

B.120

C.64

D.20

Explanation: The general term in (x + a)^n is T_(r+1) = ⁶C_r · x^(6-r) · (2/x)^r = ⁶C_r · 2^r · x^(6 - 2r). For the term independent of x, set 6 - 2r = 0, giving r = 3. The coefficient is ⁶C_3 · 2³ = 20 × 8 = 160.

4If log₁₀(x) + log₁₀(x - 3) = 1, what is the valid real value of x?

A.5

B.-2

C.2

D.10

Explanation: Using logarithmic properties, log₁₀[x(x - 3)] = 1, which implies x(x - 3) = 10¹ = 10. Rearranging gives x² - 3x - 10 = 0, which factors into (x - 5)(x + 2) = 0. Since the argument of a logarithm must be positive (x > 3), x = 5 is the only valid solution.

5What is the exact value of sin(75°)?

A.(√6 + √2) / 4

B.(√6 - √2) / 4

C.(√3 + 1) / 2

D.(√3 - 1) / (2√2)

Explanation: Using the compound angle identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B), let A = 45° and B = 30°. sin(75°) = sin(45°+30°) = sin(45°)cos(30°) + cos(45°)sin(30°) = (1/√2)(√3/2) + (1/√2)(1/2) = (√3 + 1) / (2√2) = (√6 + √2) / 4.

6Which of the following expressions is identically equal to (1 - cos 2θ) / sin 2θ?

A.tan θ

B.cot θ

C.sin θ

D.cos θ

Explanation: Using standard double-angle identities, 1 - cos 2θ = 2 sin² θ and sin 2θ = 2 sin θ cos θ. Substituting these gives (2 sin² θ) / (2 sin θ cos θ) = sin θ / cos θ = tan θ.

7What is the principal value of tan⁻¹(1) + cos⁻¹(-1/2)?

A.11π / 12

B.5π / 12

C.7π / 12

D.3π / 4

Explanation: The principal value of tan⁻¹(1) is π/4. For cos⁻¹(-1/2), the principal value lies in [0, π], which gives π - cos⁻¹(1/2) = π - π/3 = 2π/3. Adding them together: π/4 + 2π/3 = 3π/12 + 8π/12 = 11π/12.

8In triangle ABC, side a = 5, side b = 7, and side c = 8. What is the value of cos B?

A.0.5

B.0.25

C.0.75

D.0.6

Explanation: By the Law of Cosines, cos B = (a² + c² - b²) / (2ac). Substituting the given side lengths: cos B = (5² + 8² - 7²) / (2 × 5 × 8) = (25 + 64 - 49) / 80 = 40 / 80 = 0.5 (or 1/2, corresponding to B = 60°).

9What is the perpendicular distance from the point (2, 3) to the straight line 3x + 4y - 8 = 0?

A.2.0 units

B.1.5 units

C.3.0 units

D.2.5 units

Explanation: The perpendicular distance d from point (x₁, y₁) to the line Ax + By + C = 0 is d = |Ax₁ + By₁ + C| / √(A² + B²). Substituting the values: d = |3(2) + 4(3) - 8| / √(3² + 4²) = |6 + 12 - 8| / 5 = 10 / 5 = 2.0 units.

10What is the angle between the two intersecting lines with slopes m₁ = 2 and m₂ = -3?

A.45°

B.30°

C.60°

D.90°

Explanation: The angle θ between two lines is given by tan θ = |(m₁ - m₂) / (1 + m₁m₂)|. Substituting m₁ = 2 and m₂ = -3: tan θ = |(2 - (-3)) / (1 + 2(-3))| = |5 / (1 - 6)| = |5 / -5| = 1. Therefore, θ = tan⁻¹(1) = 45°.

About the BTEB Diploma in Engineering Semester Final Examinations Exam

The Diploma in Engineering is Bangladesh's premier 4-year technical qualification offered by government and private polytechnic institutes under the Bangladesh Technical Education Board (BTEB). Under the competency-based Probidhan 2022 curriculum spanning over 30 engineering technologies, students sit for central semester final board examinations at the end of each semester. The foundational curriculum shared across disciplines covers Engineering Mathematics, Physics, Chemistry, Basic Electrical and Electronics Engineering, Computer Applications and Programming, and Engineering Drawing. Official examination papers are bilingual in Bangla and English; this free practice test is an English-language MCQ study adaptation designed to build mastery of core engineering principles.

Assessment

Centrally administered semester final written examinations by BTEB across polytechnic board centers in Bangladesh, combining written theory papers (2.5 to 3 hours per subject), continuous assessments, and practical laboratory examinations.

Time Limit

2.5 to 3 hours per paper

Passing Score

40% (Grade D / Grade Point 2.00 minimum on a 4.00 scale) separately across theoretical and practical components

Exam Fee

BDT 1,500 - 2,500 (Bangladesh Technical Education Board (BTEB))

BTEB Diploma in Engineering Semester Final Examinations Exam Content Outline

20%

Engineering Mathematics

Algebra, trigonometry, coordinate geometry, differential and integral calculus, matrices, determinants, and vector algebra applied to engineering problems.

20%

Engineering Physics

Mechanics, units and dimensions, properties of matter, heat and thermodynamics, wave motion and acoustics, optics, and modern atomic physics.

15%

Engineering Chemistry

Atomic structure, chemical bonding, periodic table, acids, bases, pH, electrochemistry, corrosion, water treatment, fuels, and engineering materials.

15%

Basic Electrical & Electronics

Ohm's law, Kirchhoff's laws, DC and AC circuit analysis, magnetism, electromagnetic induction, semiconductor diodes, rectifiers, and bipolar junction transistors.

15%

Computer Applications & Programming

Computer architecture, operating systems, word processing, spreadsheets, databases, algorithm development, flowcharting, and structured C programming fundamentals.

15%

Engineering Drawing & Workshop Practice

Orthographic projections, isometric views, sectioning, dimensioning standards, workshop safety, fitting, machining, and basic metal joining processes.

How to Pass the BTEB Diploma in Engineering Semester Final Examinations Exam

What You Need to Know

Passing score: 40% (Grade D / Grade Point 2.00 minimum on a 4.00 scale) separately across theoretical and practical components
Assessment: Centrally administered semester final written examinations by BTEB across polytechnic board centers in Bangladesh, combining written theory papers (2.5 to 3 hours per subject), continuous assessments, and practical laboratory examinations.
Time limit: 2.5 to 3 hours per paper
Exam fee: BDT 1,500 - 2,500

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

BTEB Diploma in Engineering Semester Final Examinations Study Tips from Top Performers

1Focus on step-by-step calculus and trigonometry problem solving, as analytical math questions form the quantitative backbone of engineering courses.

2Review SI units, dimensional formulas, and thermodynamic laws frequently tested in engineering physics.

3Master Kirchhoff's Voltage and Current Laws (KVL/KCL) and basic R-L-C AC circuit calculations for the electrical engineering module.

4Practice tracing C program loops, conditional statements, and pointer operations for computer fundamentals.

5Understand first-angle and third-angle orthographic projection conventions and standard dimensioning rules.

Frequently Asked Questions

What is the BTEB Diploma in Engineering program in Bangladesh?

The Diploma in Engineering is a 4-year (8-semester) technical education program administered by the Bangladesh Technical Education Board (BTEB) under the Ministry of Education. It prepares students for technical careers as Sub-Assistant Engineers and provides eligibility for higher engineering studies.

What are the passing criteria under BTEB Probidhan 2022?

Under Probidhan 2022, students must secure at least 40% marks (Grade D / Grade Point 2.00 on a 4.00 scale) separately in theory continuous, theory final, practical continuous, and practical final assessments for each registered subject.

Can polytechnic diploma graduates pursue a B.Sc. in Engineering?

Yes. Diploma graduates can appear for competitive admission examinations at Dhaka University of Engineering & Technology (DUET) and various private universities in Bangladesh to earn a Bachelor of Science in Engineering (B.Sc. Engg.).

In what languages are BTEB semester final examinations conducted?

BTEB examination question papers are typically prepared bilingually in Bangla and English, allowing students to write answers in either language based on board guidelines.

What does this free 100-question practice bank cover?

This practice bank is an English-language MCQ study adaptation focusing on the core engineering foundation subjects shared across technologies under Probidhan 2022, including Mathematics, Physics, Chemistry, Basic Electrical/Electronics, ICT/Programming, and Engineering Drawing.