100+ Free BMA Long Course Practice Questions

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2026 Statistics

Key Facts: BMA Long Course Exam

2,000 BDT

Application Fee

Bangladesh Army

16.5-21

Age Limit

For Cadets

40%

Passing Mark

Minimum Score

5' 4" / 5' 1"

Min Height (M/F)

Physical Standard

GPA 5.0/4.5

Min SSC & HSC GPA

Academic Cutoff

2 Hours

Exam Time Limit

Written Exam

The BMA Long Course Written Exam has 100 marks and requires 40% to pass. It covers Mathematics (30%), English (30%), Bangla (20%), and General Knowledge (20%). It is open to unmarried Bangladeshi citizens aged 16.5-21 with a minimum GPA of 5.0 in one and 4.5 in the other for SSC/HSC. The application fee is 2,000 BDT.

Sample BMA Long Course Practice Questions

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

1A shopkeeper sells a shirt for 630 BDT, making a profit of 5%. What was the cost price of the shirt?

A.605 BDT

B.598.50 BDT

C.610 BDT

D.600 BDT

Explanation: To find the cost price (CP) when the selling price (SP) and profit percentage are known, the formula is: CP = (SP * 100) / (100 + Profit%). In this case, CP = (630 * 100) / (100 + 5) = 63,000 / 105 = 600 BDT.

2The ratio of the ages of a father and his son is 7:3. If the sum of their ages is 60 years, what is the difference between their ages?

A.18 years

B.30 years

C.24 years

D.20 years

Explanation: Let the ages of the father and son be 7x and 3x respectively. Their sum is 7x + 3x = 60 => 10x = 60 => x = 6. The difference in their ages is 7x - 3x = 4x = 4 * 6 = 24 years.

3Find the compound interest on 10,000 BDT for 2 years at 10% per annum, compounded annually.

A.2,000 BDT

B.2,050 BDT

C.2,200 BDT

D.2,100 BDT

Explanation: Compound Interest (CI) is calculated using the formula: CI = Principal * [(1 + Rate/100)^Time - 1]. Here, CI = 10,000 * [(1 + 10/100)^2 - 1] = 10,000 * [(1.1)^2 - 1] = 10,000 * [1.21 - 1] = 10,000 * 0.21 = 2,100 BDT.

4A can complete a task in 12 days, and B can complete the same task in 18 days. If they work together, how many days will they take to finish the task?

A.6 days

B.7.5 days

C.7.2 days

D.8 days

Explanation: The combined rate of A and B working together is 1/12 + 1/18 = (3 + 2)/36 = 5/36 tasks per day. The time taken to complete the task together is the reciprocal of the combined rate: 36/5 = 7.2 days.

5A soldier travels from cantonment A to B at a speed of 40 km/h and returns to A at a speed of 60 km/h. What is the average speed for the entire journey?

A.50 km/h

B.45 km/h

C.52 km/h

D.48 km/h

Explanation: Since the distances traveled in both directions are equal, the average speed can be found using the harmonic mean formula: Average Speed = 2xy / (x + y), where x and y are the two speeds. Here, Average Speed = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

6The price of sugar increases by 25%. By what percentage must a family reduce its consumption of sugar so that its expenditure on sugar remains unchanged?

A.25%

B.30%

C.15%

D.20%

Explanation: To keep the expenditure constant when price increases, consumption must be reduced by: [r / (100 + r)] * 100%, where r is the percentage increase. Thus, reduction = [25 / (100 + 25)] * 100% = (25 / 125) * 100% = 20%.

7Pipe A can fill a tank in 6 hours, while Pipe B can empty the same tank in 8 hours. If both pipes are opened simultaneously when the tank is empty, how long will it take to fill the tank?

A.12 hours

B.14 hours

C.24 hours

D.18 hours

Explanation: The rate at which the tank fills when both pipes are open is: 1/6 (filling rate) - 1/8 (emptying rate) = (4 - 3)/24 = 1/24. Thus, it will take the reciprocal of this rate, which is 24 hours, to fill the tank.

8In what ratio must water be mixed with milk costing 60 BDT per litre to obtain a mixture worth 45 BDT per litre (assuming water is free)?

A.1:4

B.4:1

C.1:3

D.3:1

Explanation: Using the rule of alligation: Cost of milk = 60 BDT/L, Cost of water = 0 BDT/L, Mean price = 45 BDT/L. (Milk - Mean) = 60 - 45 = 15. (Mean - Water) = 45 - 0 = 45. The ratio of water to milk required is (Milk - Mean) : (Mean - Water) = 15 : 45 = 1 : 3.

9Two trains of lengths 120 m and 180 m are running in opposite directions on parallel tracks at speeds of 54 km/h and 36 km/h, respectively. How long will they take to completely pass each other?

A.12 seconds

B.10 seconds

C.15 seconds

D.18 seconds

Explanation: Total distance to be covered is the sum of train lengths = 120 + 180 = 300 m. Since they are moving in opposite directions, their relative speed is 54 + 36 = 90 km/h. Convert to m/s: 90 * (5/18) = 25 m/s. Time taken = Distance / Speed = 300 / 25 = 12 seconds.

10At what rate of simple interest per annum will a sum of money double itself in 8 years?

A.15%

B.8%

C.12.5%

D.10%

Explanation: For a sum of money P to double, the Simple Interest (SI) earned must equal P. Using SI = (P * R * T) / 100, we get P = (P * R * 8) / 100 => 1 = 8R / 100 => R = 100 / 8 = 12.5% per annum.

About the BMA Long Course Exam

The Bangladesh Army BMA Long Course written exam is the first academic screening for officer cadet selection. Aspiring cadets must demonstrate strong competencies in Mathematics, English, Bangla, and General Knowledge.

Questions

100 scored questions

Time Limit

2 hours

Passing Score

40%

Exam Fee

2,000 BDT (Bangladesh Army)

BMA Long Course Exam Content Outline

30%

General Mathematics

Arithmetic, algebra, and geometry concepts

30%

English Language & Grammar

Grammar rules, parts of speech, vocabulary, and translation

20%

Bangla Language & Literature

Bangla Byakaran (grammar) and classical/modern literature

20%

General Knowledge & Basic Science

Bangladesh history, Liberation War, international affairs, and basic science

How to Pass the BMA Long Course Exam

What You Need to Know

Passing score: 40%
Exam length: 100 questions
Time limit: 2 hours
Exam fee: 2,000 BDT

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

BMA Long Course Study Tips from Top Performers

1Practice SSC/HSC level algebra, geometry, and arithmetic regularly.

2Focus on English grammar topics like parts of speech, prepositions, and translation.

3Study Bangla Byakaran (samas, sandhi, karak) and major writers like Tagore and Nazrul.

4Stay updated on Bangladesh affairs, international events, and 1971 Liberation War history.

Frequently Asked Questions

What is the application fee for the BMA Long Course?

The application fee for the BMA Long Course is 2,000 BDT, payable online through the official Join Bangladesh Army recruitment portal (join.army.mil.bd) using bKash, Rocket, cards, etc.

What are the eligibility criteria for the BMA Long Course?

Candidates must be unmarried Bangladeshi citizens aged 16.5 to 21 years by the date of course commencement. Physically, males must be at least 5'4" and females 5'1". Academically, candidates need a minimum GPA of 5.0 in one of SSC/HSC and 4.5 in the other.

What subjects are tested in the BMA written exam?

The written exam covers four subjects: General Mathematics (30 marks), English Language & Grammar (30 marks), Bangla Language & Literature (20 marks), and General Knowledge & Basic Science (20 marks).