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NTRCA School Level practice questions

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Question 1School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which Bengali vowel sign (কার) is used with a consonant to represent the short 'i' sound?

  1. ু
  2. ি Correct answer.
  3. ী
  4. ে

Explanation

The short 'i' sound is written with the single-stroke কার placed after the consonant, as in ক + ি = কি. The long 'i' uses a different sign, and the other options represent other vowels entirely.

Question 2School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

In Bengali, which word is a correct example of a দ্বন্দ্ব সমাস (coordinative compound)?

  1. মাতাপিতা Correct answer.
  2. দীর্ঘকায়
  3. রাজপুত্র
  4. নীলপদ্ম

Explanation

A দ্বন্দ্ব সমাস joins two words of equal grammatical rank that can be separated by 'এবং' or 'ও', as in মাতা ও পিতা = মাতাপিতা. The other options are attributive or case-governed compounds where one member depends on the other.

Question 3School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following sentences contains a কর্মে ৬ষ্ঠী (genitive used as object) construction?

  1. আমি তোমার জন্য অপেক্ষা করছি। Correct answer.
  2. সে বইটি পড়ছে।
  3. তারা মাঠে খেলছে।
  4. মেয়েটি গান গাইছে।

Explanation

Certain verbs such as অপেক্ষা করা take their object in the genitive case, so 'তোমার জন্য অপেক্ষা' shows কর্মে ৬ষ্ঠী. Ordinary transitive objects like বইটি appear in the nominative or accusative without a genitive marker.

Question 4School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Who wrote the novel 'পথের পাঁচালী'?

  1. মানিক বন্দ্যোপাধ্যায়
  2. তারাশঙ্কর বন্দ্যোপাধ্যায়
  3. শরৎচন্দ্র চট্টোপাধ্যায়
  4. বিভূতিভূষণ বন্দ্যোপাধ্যায় Correct answer.

Explanation

'পথের পাঁচালী' is a novel by বিভূতিভূষণ বন্দ্যোপাধ্যায়, published in the 1920s and later made into a famous film. It describes the childhood of অপু and দুর্গা in a rural Bengal village.

Question 5School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

A shopkeeper buys an item for 400 taka and sells it for 500 taka. What is the profit percentage?

  1. 25% Correct answer.
  2. 20%
  3. 10%
  4. 15%

Explanation

Profit percentage is calculated on the cost price: profit = 500 − 400 = 100 taka, and 100 ÷ 400 × 100 = 25%. Dividing by the selling price instead would give the wrong base.

Question 6School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

What is the value of (2/3) ÷ (4/9)?

  1. 2/3
  2. 27/8
  3. 3/2 Correct answer.
  4. 8/27

Explanation

Dividing by a fraction is the same as multiplying by its reciprocal, so (2/3) × (9/4) = 18/12 = 3/2. Multiplying the numerators and denominators directly instead of inverting gives an incorrect result.

Question 7School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

The sum of the three angles of a triangle is 180°. If two angles are 45° and 65°, what is the third angle?

  1. 80°
  2. 70° Correct answer.
  3. 75°
  4. 60°

Explanation

The third angle equals 180° minus the sum of the other two: 45° + 65° = 110°, and 180° − 110° = 70°. This follows directly from the angle-sum property of triangles.

Question 8School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following is a prime number?

  1. 97 Correct answer.
  2. 91
  3. 87
  4. 99

Explanation

97 has no positive divisors other than 1 and itself, so it is prime. The other numbers are all composite and can each be factored into smaller whole numbers greater than one.

Question 9School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

The average of five numbers is 20. If one number is removed, the average of the remaining four becomes 18. What number was removed?

  1. 24
  2. 30
  3. 26
  4. 28 Correct answer.

Explanation

The total of five numbers is 5 × 20 = 100, and the total of the remaining four is 4 × 18 = 72. The removed number is the difference, 100 − 72 = 28.

Question 10School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

If x + 1/x = 3, what is the value of x² + 1/x²?

  1. 11
  2. 6
  3. 9
  4. 7 Correct answer.

Explanation

Squaring both sides gives (x + 1/x)² = x² + 2 + 1/x² = 9. Subtracting 2 from both sides yields x² + 1/x² = 7.

Question 11School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

A train 120 metres long passes a pole in 6 seconds. What is its speed in kilometres per hour?

  1. 20 km/h
  2. 80 km/h
  3. 72 km/h Correct answer.
  4. 60 km/h

Explanation

Passing a pole means covering the train's own length, so speed = 120 ÷ 6 = 20 m/s. Converting to km/h by multiplying by 18/5 gives 20 × 18/5 = 72 km/h.

Question 12School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which instrument is used to measure atmospheric pressure?

  1. Barometer Correct answer.
  2. Thermometer
  3. Hygrometer
  4. Anemometer

Explanation

A barometer measures atmospheric pressure, usually by the height of a mercury column or by a sealed metal chamber. Each of the other instruments measures a different weather quantity.

Question 13School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which gas is most abundant in the Earth's atmosphere?

  1. Nitrogen Correct answer.
  2. Oxygen
  3. Carbon dioxide
  4. Argon

Explanation

Nitrogen makes up roughly 78% of the atmosphere by volume, far more than any other gas. Oxygen is second at about 21%, with argon and carbon dioxide present in much smaller amounts.

Question 14School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

A body moving with uniform velocity has which of the following?

  1. Constant acceleration equal to g
  2. Zero acceleration Correct answer.
  3. Zero velocity
  4. Increasing acceleration

Explanation

Uniform velocity means both the magnitude and direction of velocity stay unchanged over time. Since acceleration is the rate of change of velocity, a constant velocity implies zero acceleration.

Question 15School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which part of the human eye controls the amount of light entering it?

  1. Iris Correct answer.
  2. Optic nerve
  3. Retina
  4. Cornea

Explanation

The iris contains muscles that adjust the size of the pupil, thereby regulating how much light reaches the retina. The other structures either refract light or transmit signals.

Question 16School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which acid is present in the human stomach and aids digestion?

  1. Acetic acid
  2. Hydrochloric acid Correct answer.
  3. Sulphuric acid
  4. Nitric acid

Explanation

Gastric glands secrete hydrochloric acid, which creates the acidic medium needed for pepsin to digest proteins. The other acids are not produced by the stomach for this purpose.

Question 17School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following is a renewable source of energy?

  1. Solar energy Correct answer.
  2. Natural gas
  3. Coal
  4. Petroleum

Explanation

Solar energy is continuously replenished by sunlight, so it is renewable. Coal, natural gas and petroleum are fossil fuels formed over millions of years and are consumed faster than they form.

Question 18School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which article of the Constitution of Bangladesh deals with the fundamental rights of citizens?

  1. Part IV
  2. Part III Correct answer.
  3. Part II
  4. Part I

Explanation

Fundamental rights are contained in Part III of the Constitution of Bangladesh, covering articles 26 to 47. The other parts deal with the Republic, fundamental principles of state policy, and the organs of government.

Question 19School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Who is the head of the state of Bangladesh according to the Constitution?

  1. Speaker
  2. Chief Justice
  3. Prime Minister
  4. President Correct answer.

Explanation

The President is the constitutional head of state, while the Prime Minister heads the government and exercises executive power. The Speaker and Chief Justice head the legislature and judiciary respectively.

Question 20School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

The Battle of Plassey was fought in which year?

  1. 1757 Correct answer.
  2. 1857
  3. 1707
  4. 1764

Explanation

The Battle of Plassey took place in 1757 between the forces of the East India Company under Robert Clive and Nawab Siraj-ud-Daulah. It marked the beginning of British political control in Bengal.

Question 21School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which language movement event is commemorated on 21 February in Bangladesh?

  1. The Liberation War of 1971
  2. The Non-Cooperation Movement of 1920
  3. The Bengali Language Movement of 1952 Correct answer.
  4. The Partition of Bengal in 1905

Explanation

On 21 February 1952, students in Dhaka demonstrated for the recognition of Bengali as a state language, and several were killed. The date is now observed as International Mother Language Day.

Question 22School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following is a correct sentence in English?

  1. She is living here since 2010.
  2. She live here since 2010.
  3. She lives here since 2010.
  4. She has been living here since 2010. Correct answer.

Explanation

With 'since' plus a point in time, English uses the present perfect continuous to show an action that began in the past and continues. The present simple and present continuous do not combine with 'since' in this way.

Question 23School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Choose the correct passive form of: 'They will complete the project.'

  1. The project is completed by them.
  2. The project will completed by them.
  3. The project will be completed by them. Correct answer.
  4. The project has been completed by them.

Explanation

The future passive is formed with 'will be' plus the past participle, giving 'will be completed'. The original object becomes the subject of the passive sentence.

Question 24School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which word is an antonym of 'scarce'?

  1. Abundant Correct answer.
  2. Limited
  3. Rare
  4. Sparse

Explanation

'Scarce' means in short supply, so its opposite is 'abundant', meaning plentiful. The other options all share the sense of being small in quantity.

Question 25School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

In a class of 40 students, 60% passed. How many students failed?

  1. 18
  2. 16 Correct answer.
  3. 14
  4. 24

Explanation

Sixty percent of 40 is 24 students who passed, so the number who failed is 40 − 24 = 16. The question asks for failures, not passes, so the complement must be taken.

Question 26School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

What is the value of 3/4 expressed as a percentage?

  1. 75% Correct answer.
  2. 60%
  3. 70%
  4. 80%

Explanation

To convert a fraction to a percentage, multiply it by 100. Here 3/4 × 100 = 300/4 = 75, so 3/4 equals 75%.

Question 27School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following numbers is divisible by 9?

  1. 8,342
  2. 7,124
  3. 5,231
  4. 4,563 Correct answer.

Explanation

A number is divisible by 9 when the sum of its digits is a multiple of 9. For 4,563 the digit sum is 4+5+6+3 = 18, which is divisible by 9.

Question 28School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

What is the least common multiple of 12 and 18?

  1. 36 Correct answer.
  2. 72
  3. 24
  4. 48

Explanation

Prime factors: 12 = 2² × 3 and 18 = 2 × 3². The LCM takes the highest power of each prime, giving 2² × 3² = 36.

Question 29School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

If 5 workers can finish a job in 12 days, how many days will 10 workers take, working at the same rate?

  1. 6 days Correct answer.
  2. 8 days
  3. 24 days
  4. 3 days

Explanation

The total work is 5 × 12 = 60 worker-days. With 10 workers the time is 60 ÷ 10 = 6 days, since workers and time are inversely proportional.

Question 30School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

The length and breadth of a rectangle are 12 cm and 5 cm. What is the length of its diagonal?

  1. 13 cm Correct answer.
  2. 12 cm
  3. 17 cm
  4. 11 cm

Explanation

The diagonal of a rectangle forms a right triangle with the sides, so by Pythagoras' theorem d² = 12² + 5² = 144 + 25 = 169, giving d = 13 cm.

Question 31School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

A sum of money doubles itself in 8 years at simple interest. What is the annual rate of interest?

  1. 8%
  2. 16%
  3. 12.5% Correct answer.
  4. 10%

Explanation

Doubling means the interest earned equals the principal, so SI = P over 8 years. Since SI = P×R×T/100, we get R = 100/8 = 12.5% per year.

Question 32School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which number completes the pattern 2, 6, 12, 20, 30, ...?

  1. 40
  2. 36
  3. 42 Correct answer.
  4. 45

Explanation

The differences between successive terms are 4, 6, 8, 10, so the next difference is 12. Adding 12 to 30 gives 42; the terms are of the form n(n+1).

Question 33School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following is a chemical change?

  1. Dissolving sugar in water
  2. Breaking of glass
  3. Rusting of iron Correct answer.
  4. Melting of ice

Explanation

A chemical change produces a new substance with different properties. Rusting of iron forms iron oxide, a new compound, so it cannot be reversed by simple physical means.

Question 34School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

What is the chemical formula of common table salt?

  1. CaCO₃
  2. NaCl Correct answer.
  3. KCl
  4. NaHCO₃

Explanation

Table salt is sodium chloride, formed from the ions Na⁺ and Cl⁻ in a 1:1 ratio, so its formula is NaCl.

Question 35School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which organelle is known as the powerhouse of the cell?

  1. Lysosome
  2. Golgi body
  3. Ribosome
  4. Mitochondrion Correct answer.

Explanation

Mitochondria carry out aerobic respiration and release energy as ATP, which is why they are called the powerhouse of the cell.

Question 36School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which vitamin is produced in the human skin in the presence of sunlight?

  1. Vitamin D Correct answer.
  2. Vitamin B₁
  3. Vitamin A
  4. Vitamin C

Explanation

Ultraviolet light from the sun converts a cholesterol derivative in the skin into vitamin D, which is needed for calcium absorption and healthy bones.

Question 37School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which blood cells are mainly responsible for carrying oxygen?

  1. Red blood cells Correct answer.
  2. White blood cells
  3. Platelets
  4. Plasma cells

Explanation

Red blood cells contain haemoglobin, which binds oxygen in the lungs and transports it to the tissues.

Question 38School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

What is the SI unit of force?

  1. Newton Correct answer.
  2. Watt
  3. Joule
  4. Pascal

Explanation

Force is measured in newtons, where one newton accelerates a mass of one kilogram at one metre per second squared.

Question 39School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

A car travels 90 km in 1.5 hours. What is its average speed?

  1. 60 km/h Correct answer.
  2. 55 km/h
  3. 45 km/h
  4. 75 km/h

Explanation

Average speed equals total distance divided by total time, so 90 ÷ 1.5 = 60 km/h.

Question 40School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which mirror is used as a rear-view mirror in vehicles?

  1. Plane mirror
  2. Convex mirror Correct answer.
  3. Concave mirror
  4. Cylindrical mirror

Explanation

A convex mirror always forms a small, erect virtual image and gives a wider field of view, so it is used as a rear-view mirror.

Question 41School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which of the following is a noble gas?

  1. Chlorine
  2. Argon Correct answer.
  3. Nitrogen
  4. Oxygen

Explanation

Noble gases belong to group 18 and have complete outer electron shells, which makes them very unreactive. Argon is a member of this group.

Question 42School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which article of the Universal Declaration of Human Rights states that all human beings are born free and equal in dignity and rights?

  1. Article 19
  2. Article 1 Correct answer.
  3. Article 3
  4. Article 5

Explanation

Article 1 of the Universal Declaration of Human Rights declares that all human beings are born free and equal in dignity and rights, and are endowed with reason and conscience.

Question 43School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which body of the United Nations has the primary responsibility for maintaining international peace and security?

  1. General Assembly
  2. Security Council Correct answer.
  3. Economic and Social Council
  4. International Court of Justice

Explanation

Under the UN Charter, the Security Council has the primary responsibility for the maintenance of international peace and security and may impose sanctions or authorise action.

Question 44School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

The Sundarbans, the largest mangrove forest in the world, is located mainly in which two countries?

  1. Nepal and Bhutan
  2. India and Sri Lanka
  3. Bangladesh and India Correct answer.
  4. Bangladesh and Myanmar

Explanation

The Sundarbans stretches across the delta of the Ganges, Brahmaputra and Meghna rivers, lying mainly in south-western Bangladesh with a smaller part in India.

Question 45School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which line of latitude passes through the middle of the Earth and divides it into the Northern and Southern Hemispheres?

  1. Prime Meridian
  2. Equator Correct answer.
  3. Tropic of Capricorn
  4. Tropic of Cancer

Explanation

The Equator is the 0° line of latitude, an imaginary circle halfway between the poles that divides the Earth into northern and southern halves.

Question 46School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Choose the correct form of the verb: She ____ to school every day.

  1. going
  2. gone
  3. go
  4. goes Correct answer.

Explanation

In the simple present tense, a third-person singular subject such as 'she' takes the verb with -s, so 'goes' is correct.

Question 47School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which sentence uses the article correctly?

  1. He is honest a man.
  2. He is the honest man.
  3. He is a honest man.
  4. He is an honest man. Correct answer.

Explanation

The article 'an' is used before a vowel sound, and the 'h' in 'honest' is silent, so the word begins with a vowel sound.

Question 48School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Identify the correct indirect speech: He said, "I am busy now."

  1. He said that he is busy now.
  2. He said that he will be busy now.
  3. He said that I was busy then.
  4. He said that he was busy then. Correct answer.

Explanation

In reported speech the present tense 'am' shifts back to 'was', and the time word 'now' changes to 'then'. The pronoun 'I' also changes to 'he' to match the speaker.

Question 49School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which word is the synonym of 'abundant'?

  1. Plentiful Correct answer.
  2. Costly
  3. Fragile
  4. Scarce

Explanation

'Abundant' means existing in large quantities, and 'plentiful' carries the same sense of more than enough supply.

Question 50School Level syllabus (স্কুল পর্যায় সিলেবাস) - official domain list not enumerated in source

Which number is the additive identity in the set of integers?

  1. -1
  2. 1
  3. 0 Correct answer.
  4. 10

Explanation

The additive identity is the number that leaves any integer unchanged when added to it. Since a + 0 = a for every integer a, zero plays this role. One and minus one change the value, so they cannot be identities.