100+ Free DU Ka Unit (Science Unit) Practice Questions

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2026 Statistics

Key Facts: DU Ka Unit (Science Unit) Exam

100 Marks

Test Score

60 MCQ + 40 Written

90 min

Duration

45m MCQ + 45m Written

-0.25

Negative Mark

Per Wrong MCQ

1,050 BDT

Application Fee

Online Payment Portal

1st Time Only

Attempt Limit

No 2nd Time Allowed

~1,851

Total Seats

DU Science Faculties

40/100

Minimum Pass

24 MCQ + 12 Written

120 Marks

Total Merit Score

100 Test + 20 GPA

The Dhaka University 'Ka' Unit (Science Unit) Admission Test consists of 100 marks (60 MCQ + 40 Written) administered in 90 minutes (45 min MCQ + 45 min Written). Candidates answer 4 subjects (15 MCQ + 10 written marks each). Physics and Chemistry are compulsory, while 2 additional subjects are chosen from Mathematics, Biology, Bengali, English, or ICT. Negative marking of 0.25 applies to MCQ. The application fee is 1,050 BDT, and only first-time HSC graduates are eligible.

Sample DU Ka Unit (Science Unit) Practice Questions

Try these sample questions to test your DU Ka Unit (Science Unit) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A projectile is launched from flat ground with initial velocity u at an angle of 45° to the horizontal. What is the relationship between its maximum height H and its horizontal range R?

A.R = 4H

B.R = 2H

C.R = H

D.R = 8H

Explanation: The maximum height of a projectile is H = (u² sin² θ) / (2g) and its horizontal range is R = (u² sin 2θ) / g. When θ = 45°, sin²(45°) = 1/2, giving H = u² / (4g), while sin(2 × 45°) = sin(90°) = 1, giving R = u² / g. Comparing the two expressions yields R = 4H.

2A car negotiates a curved horizontal track of radius 40 m at a speed of 20 m/s without relying on friction. Taking g = 10 m/s², what is the required banking angle θ of the road?

A.30°

B.45°

C.60°

D.tan⁻¹(0.5)

Explanation: The required angle of banking without friction is given by tan θ = v² / (r × g). Substituting the given values gives tan θ = (20)² / (40 × 10) = 400 / 400 = 1. Therefore, θ = tan⁻¹(1) = 45°.

3A block of mass 5 kg rests on a rough horizontal floor with coefficient of kinetic friction μₖ = 0.2. If a horizontal pulling force of 20 N is applied to the block, what is its acceleration? (Take g = 9.8 m/s²)

A.4.00 m/s²

B.2.04 m/s²

C.1.96 m/s²

D.3.92 m/s²

Explanation: The normal force on the block is N = mg = 5 × 9.8 = 49 N. The opposing kinetic friction force is fₖ = μₖ N = 0.2 × 49 = 9.8 N. The net horizontal force is F_net = F_pull - fₖ = 20 - 9.8 = 10.2 N, yielding an acceleration a = F_net / m = 10.2 / 5 = 2.04 m/s².

4If the linear momentum of a moving body is increased by 50%, by what percentage does its kinetic energy increase?

A.50%

B.100%

C.125%

D.225%

Explanation: Kinetic energy is related to linear momentum by KE = p² / (2m). When momentum increases by 50%, the new momentum is p' = 1.5p. The new kinetic energy becomes KE' = (1.5p)² / (2m) = 2.25 × KE, which represents an increase of (2.25 - 1) × 100% = 125%.

5What is the ratio of the radius of gyration of a uniform solid sphere of mass M and radius R to that of a uniform solid cylinder of the same mass and radius, both rotating about their standard central axes?

A.2 : √5

B.√5 : 2

C.4 : 5

D.√2 : √5

Explanation: For a solid sphere, the moment of inertia is I_sphere = (2/5)MR² = M k_sphere², so k_sphere = √(2/5) R. For a solid cylinder about its longitudinal axis, I_cyl = (1/2)MR² = M k_cyl², so k_cyl = √(1/2) R. The ratio k_sphere / k_cyl = √(2/5) / √(1/2) = √(4/5) = 2 / √5.

6A tensile force F is applied to a metallic wire of initial length L and uniform cross-sectional area A such that its length is doubled. If the material obeys Hooke's law, the tensile stress developed in the wire is equal to:

A.Young's modulus Y

B.2Y

C.Y / 2

D.4Y

Explanation: Tensile strain is defined as longitudinal extension divided by original length: ε = ΔL / L. When the length is doubled, ΔL = 2L - L = L, so ε = L / L = 1. By Hooke's law, Stress = Y × Strain = Y × 1 = Y.

7The escape velocity from the surface of Earth is approximately 11.2 km/s. If a hypothetical planet has twice the mass of Earth and half its radius, what is the escape velocity from that planet?

A.11.2 km/s

B.22.4 km/s

C.5.6 km/s

D.44.8 km/s

Explanation: Escape velocity is given by v_e = √(2GM / R). For the new planet, M' = 2M and R' = R / 2, so v_e' = √(2G(2M) / (R/2)) = √(4 × 2GM/R) = 2 × v_e. Thus, v_e' = 2 × 11.2 km/s = 22.4 km/s.

8At what depth d below the surface of the Earth (radius R) does the acceleration due to gravity become one-half of its value at the Earth's surface?

A.R / 4

B.R / 2

C.R / √2

D.3R / 4

Explanation: The acceleration due to gravity at depth d is g_d = g(1 - d/R). Setting g_d = g/2 gives 1 - d/R = 1/2, which simplifies to d/R = 1/2, hence d = R/2.

9If the effective length of a simple pendulum is increased by 44%, what is the percentage change in its time period?

A.44% increase

B.22% increase

C.20% increase

D.12% increase

Explanation: The time period of a simple pendulum is T = 2π √(L / g), meaning T ∝ √L. If length becomes L' = 1.44L, the new time period is T' = √(1.44) T = 1.20 T. This represents an increase of (1.20 - 1.00) × 100% = 20%.

10In a simple harmonic oscillator of amplitude A, at what displacement x from the mean equilibrium position is the kinetic energy equal to the potential energy?

A.x = A / 2

B.x = A / √2

C.x = A / 4

D.x = (√3 / 2) A

Explanation: In SHM, kinetic energy is KE = (1/2)k(A² - x²) and potential energy is PE = (1/2)kx². Equating KE = PE gives (1/2)k(A² - x²) = (1/2)kx² ⇒ A² - x² = x² ⇒ 2x² = A² ⇒ x = A / √2.

About the DU Ka Unit (Science Unit) Exam

The Dhaka University Ka Unit (Science Unit) Admission Test is Bangladesh's premier undergraduate science entrance examination. It admits students into top faculties including Science, Biological Sciences, Pharmacy, Earth & Environmental Sciences, Engineering & Technology, and Institutes such as IIT, INFS, and ISRT. The examination evaluates students in Physics, Chemistry, Higher Mathematics, Biology, and ICT through a combined 60-mark MCQ test and 40-mark written test in a 90-minute session. The official paper is administered in Bangla/English as a 60-mark MCQ + 40-mark written hybrid; this free practice bank is an English-language MCQ study adaptation, not an official translation or a substitute for the written section.

Questions

60 scored questions

Time Limit

90 minutes (45 min MCQ + 45 min Written)

Passing Score

40% (Minimum 24 in MCQ, 12 in Written, total min 40/100)

Exam Fee

1,050 BDT (University of Dhaka)

DU Ka Unit (Science Unit) Exam Content Outline

25%

Physics

Newtonian mechanics, gravitation, periodic motion, waves, thermodynamics, optics, current electricity, and atomic & modern physics.

25%

Chemistry

Periodic table, chemical bonding, organic reaction mechanisms, electrochemistry, chemical equilibrium, and environmental chemistry.

25%

Higher Mathematics

Matrices & determinants, straight lines, circles, trigonometry, differential and integral calculus, vectors, and polynomials.

25%

Biology & ICT

Cell biology, genetics, plant physiology, human organ systems, digital logic gates, number systems, and computer networks.

How to Pass the DU Ka Unit (Science Unit) Exam

What You Need to Know

Passing score: 40% (Minimum 24 in MCQ, 12 in Written, total min 40/100)
Exam length: 60 questions
Time limit: 90 minutes (45 min MCQ + 45 min Written)
Exam fee: 1,050 BDT

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

DU Ka Unit (Science Unit) Study Tips from Top Performers

1Master foundational concepts from NCTB Physics, Chemistry, Higher Mathematics, and Biology textbooks.

2Practice fast, non-calculator arithmetic and estimation, as electronic calculators are strictly prohibited during the exam.

3Solve at least 10-15 years of DU Ka Unit previous years' question papers to recognize recurring problem models.

4Train specifically for the 45-minute written test by practicing short mathematical proofs, chemical mechanisms, and concise scientific explanations.

5Exercise strict discipline on MCQ guesses to avoid losing valuable marks to the 0.25 negative marking penalty.

6In Higher Mathematics, memorize standard derivatives, integral forms, trigonometric transformations, and coordinate geometry formulas for split-second recall.

7In Chemistry, focus heavily on named organic reactions, electrophilic aromatic substitution, stoichiometry, buffer pH calculations, and standard reduction potentials.

8In Physics, focus on vector decomposition, projectile motion, circular dynamics, Doppler effect, Carnot efficiency, lens formulas, and de Broglie wavelength.

9In ICT, master Boolean algebra simplification, truth tables, binary/hexadecimal conversions, and IP address classes.

10Take timed combined mock tests (MCQ + Written back-to-back) to build mental stamina and optimize transitions.

Frequently Asked Questions

What is the exam structure and mark distribution of the DU Ka Unit Admission Test?

The admission test consists of 100 marks: 60 marks MCQ (60 questions, 1 mark each, 45 minutes) and 40 marks Written (45 minutes). The candidate answers 4 subjects: Physics (15 MCQ + 10 written), Chemistry (15 MCQ + 10 written), and two optional subjects chosen from Higher Mathematics, Biology, Bengali/English, or ICT (15 MCQ + 10 written each). An additional 20 marks are derived from SSC (GPA × 2) and HSC (GPA × 2) for a total composite evaluation score of 120 marks.

How does negative marking work in the DU Ka Unit MCQ section?

For every incorrect MCQ answer, 0.25 marks are deducted from the total MCQ score. No marks are deducted for unattempted questions.

What are the minimum passing marks for DU Ka Unit?

Candidates must score a minimum of 24 marks out of 60 in the MCQ section and a minimum of 12 marks out of 40 in the Written section, with an overall combined minimum of 40 marks out of 100 in the admission test. Candidates failing to secure the minimum pass marks in either section are disqualified.

Can second-time candidates sit for the Dhaka University Ka Unit Admission Test?

No. The University of Dhaka strictly does not allow second-time candidates. Only students passing the HSC examination in the current academic year are eligible to apply.

Which subjects are compulsory and which can be chosen as electives?

Physics and Chemistry are mandatory for all science candidates. For the remaining two subjects, candidates must choose based on their HSC major and fourth subjects among Higher Mathematics, Biology, Bengali, English, or ICT. Choice of major department during subject allocation depends on the subjects answered in the admission test.

How many seats are available in the Dhaka University Science Unit?

There are approximately 1,851 seats across more than 30 departments and institutes under the Faculty of Science, Faculty of Biological Sciences, Faculty of Pharmacy, Faculty of Earth and Environmental Sciences, Faculty of Engineering and Technology, Institute of Information Technology (IIT), Institute of Nutrition and Food Science (INFS), and Institute of Statistical Research and Training (ISRT).