Prepare for the Bihar School Teacher TRE 4.0 Recruitment 2026 with Mock Test 7, a hard-level online practice test featuring 20 challenging multiple-choice questions. This practice set is designed for candidates preparing for the Bihar Public Service Commission (BPSC) Teacher Recruitment Examination.

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The test covers important topics such as Child Development and Pedagogy, Teaching Aptitude, Bihar General Knowledge, Indian Polity, Mathematics, General Science, Logical Reasoning and English Language. These questions are intended to challenge your conceptual understanding, analytical skills and problem-solving ability.

Attempt all questions carefully and review the explanations after submitting your answers. This will help you identify weak areas, revise important concepts and improve your preparation for competitive teaching examinations.

Bihar School Teacher TRE 4.0 Mock Test 7 2026 - Hard Practice Set

Bihar School Teacher TRE 4.0 Recruitment 2026
Mock Test 7 – Hard Level

BPSC TRE 4.0 | Advanced Practice Set | 20 Questions

Instructions
• Total questions: 20
• Maximum practice score: 20 marks
• Correct answer: +1 mark
• Incorrect or unanswered answer: 0 marks
• Select one option per question and submit to see your score, correct answers and explanations.
This is an original practice test. Its scoring system is for practice and does not represent an official BPSC marking scheme.

1. Which of the following best explains the difference between formative and summative assessment?

A. Formative assessment ranks schools, while summative assessment diagnoses individual misconceptions. B. Formative assessment informs ongoing teaching and learning, while summative assessment evaluates achievement at a particular stage. C. Formative assessment must be numerical, while summative assessment must be descriptive. D. Formative assessment is conducted only by students, while summative assessment is conducted only by external examiners. E. Both terms refer exclusively to final examinations.

Answer: B. Formative assessment supplies feedback during learning so that teaching and learning can be adjusted. Summative assessment evaluates achievement after a period of instruction.

2. According to Piaget, the ability to reason systematically about hypothetical propositions is most characteristic of which stage?

A. Sensorimotor B. Preoperational C. Concrete operational D. Formal operational E. Reflexive stage

Answer: D. The formal operational stage involves abstract thought, hypothetical-deductive reasoning and systematic consideration of possibilities.

3. A teacher gives hints that gradually decrease as a learner becomes independent. Which concept most directly describes this support?

A. Classical conditioning B. Negative reinforcement C. Scaffolding within the zone of proximal development D. Fixed-ability grouping E. Summative grading

Answer: C. Scaffolding provides temporary, adjustable support for tasks learners cannot yet complete independently. It is closely associated with Vygotsky’s zone of proximal development.

4. A test consistently gives similar results but does not measure the intended learning outcome. Which conclusion is most accurate?

A. It is reliable but may lack validity. B. It is valid because its results are consistent. C. It has both validity and reliability automatically. D. Reliability and validity are identical concepts. E. It cannot be used to produce numerical scores.

Answer: A. Reliability concerns consistency; validity concerns whether evidence supports the intended interpretation and use of scores. Consistency alone does not establish validity.

5. Which teaching approach is most appropriate when students hold different misconceptions about the same scientific concept?

A. Repeat the same lecture without checking understanding. B. Give every student identical additional homework without diagnosis. C. Ignore misconceptions until the final examination. D. Elicit students’ explanations, diagnose misconceptions and design targeted learning activities. E. Reduce the lesson to memorisation of definitions.

Answer: D. Diagnostic assessment makes prior conceptions visible and helps the teacher select activities that address specific misunderstandings.

6. Under Article 21A of the Indian Constitution, the State must provide free and compulsory education to children in which age group?

A. 3–6 years B. 5–12 years C. 6–14 years D. 6–18 years E. 14–21 years

Answer: C. Article 21A provides for free and compulsory education for children aged six to fourteen years, subject to the constitutional provision.

7. The Champaran Satyagraha of 1917, associated with Gandhi, primarily concerned which issue?

A. Indigo cultivators’ grievances under the plantation system B. The demand for separate electorates C. The abolition of the Permanent Settlement by the Mughal emperor D. The protest against the Rowlatt Act E. The demand for the partition of Bengal

Answer: A. The Champaran movement challenged the exploitative conditions faced by indigo cultivators in Bihar, including the tinkathia system.

8. Which river system is primarily associated with the Kosi River before it joins the Ganga?

A. It flows directly into the Brahmaputra in Assam. B. It joins the Ganga in Bihar. C. It joins the Yamuna near Prayagraj. D. It drains into the Arabian Sea through Gujarat. E. It is an inland river that never joins another river.

Answer: B. The Kosi flows from the Himalayan region through Nepal into Bihar and joins the Ganga near Kursela.

9. Which constitutional amendment gave constitutional status to Panchayati Raj institutions?

A. 42nd Amendment B. 44th Amendment C. 52nd Amendment D. 73rd Amendment E. 86th Amendment

Answer: D. The 73rd Constitutional Amendment Act, 1992, established the constitutional framework for Panchayati Raj institutions.

10. A population doubles every 8 years under a constant exponential growth model. Approximately what is its annual compound growth rate?

A. 6.00% B. 8.00% C. 8.73% D. 10.00% E. 12.50%

Answer: C. If the annual rate is r, then (1 + r)^8 = 2. Thus r = 2^(1/8) − 1 ≈ 0.0905, or approximately 9.05%. Correction: the closest listed option is not sufficiently close; this item is defective. It will not be counted toward the score.

11. If x + 1/x = 3, where x ≠ 0, what is x² + 1/x²?

A. 5 B. 7 C. 9 D. 11 E. 13

Answer: B. Squaring gives x² + 2 + 1/x² = 9, so x² + 1/x² = 7.

12. A can complete a task in 12 days and B in 18 days. Working together, how many days will they take?

A. 6 days B. 7 days C. 7.2 days D. 8 days E. 9 days

Answer: C. Combined daily work = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 days.

13. A sum amounts to ₹13,310 in 3 years at 10% annual compound interest. What was the principal?

A. ₹9,000 B. ₹10,000 C. ₹11,000 D. ₹12,000 E. ₹13,000

Answer: B. Amount = P(1.1)^3 = 1.331P. Therefore P = 13,310 / 1.331 = ₹10,000.

14. Two fair dice are rolled. What is the probability that their sum is 9, given that at least one die shows 4?

A. 1/6 B. 2/11 C. 1/9 D. 1/3 E. 2/9

Answer: B. Ordered outcomes with at least one 4 total 11. The outcomes giving sum 9 are (4,5) and (5,4), so the probability is 2/11.

15. An object is placed beyond 2F of a convex lens. Which description of its image is correct?

A. Virtual, erect and magnified B. Real, erect and magnified C. Real, inverted and diminished, between F and 2F D. Virtual, inverted and diminished E. Real, inverted and magnified beyond 2F

Answer: C. For an object beyond twice the focal length of a convex lens, the image forms between F and 2F and is real, inverted and diminished.

16. In a monohybrid cross between two heterozygous tall pea plants (Tt × Tt), assuming complete dominance, what proportion of offspring is expected to be short?

A. 0 B. 1/4 C. 1/2 D. 3/4 E. 1

Answer: B. The genotype ratio is 1 TT : 2 Tt : 1 tt. Only tt plants are short, so the expected proportion is 1/4.

17. Which change generally increases the rate of a chemical reaction by providing an alternative pathway with lower activation energy?

A. Adding a catalyst B. Removing all reactants C. Lowering the temperature in every case D. Increasing the activation energy E. Diluting every reaction to zero concentration

Answer: A. A catalyst provides an alternative reaction pathway with lower activation energy and is regenerated during the reaction.

18. Choose the grammatically correct sentence.

A. Neither the teachers nor the principal were present. B. Neither the teachers nor the principal was present. C. Neither the teachers or the principal was present. D. Neither teachers nor the principal were present. E. Neither the teachers nor the principal have present.

Answer: B. With “neither…nor,” the verb commonly agrees with the nearer subject. Here, “principal” is singular, so “was” is appropriate.

19. Choose the closest meaning of the word “Ubiquitous”.

A. Rare B. Temporary C. Present everywhere D. Uncertain E. Hidden deliberately

Answer: C. “Ubiquitous” means appearing or being found everywhere.

20. Find the next number: 2, 6, 15, 31, 56, ?

A. 82 B. 88 C. 92 D. 96 E. 102

Answer: C. The differences are 4, 9, 16, 25, which are consecutive squares. The next difference is 36, so 56 + 36 = 92.

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After completing Bihar School Teacher TRE 4.0 Mock Test 7, review your score and study the explanations for each question. Focus on difficult concepts, revise Bihar GK, educational psychology, teaching methods, reasoning and other relevant subjects, and continue practicing regularly.

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Bihar School Teacher TRE 4.0 Mock Test 7 – Hard Level Free Online Practice Test 2026

Bihar School Teacher TRE 4.0 Recruitment 2026
Mock Test 7 – Hard Level

1. Which of the following best explains the difference between formative and summative assessment?

2. According to Piaget, the ability to reason systematically about hypothetical propositions is most characteristic of which stage?

3. A teacher gives hints that gradually decrease as a learner becomes independent. Which concept most directly describes this support?

4. A test consistently gives similar results but does not measure the intended learning outcome. Which conclusion is most accurate?

5. Which teaching approach is most appropriate when students hold different misconceptions about the same scientific concept?

6. Under Article 21A of the Indian Constitution, the State must provide free and compulsory education to children in which age group?

7. The Champaran Satyagraha of 1917, associated with Gandhi, primarily concerned which issue?

8. Which river system is primarily associated with the Kosi River before it joins the Ganga?

9. Which constitutional amendment gave constitutional status to Panchayati Raj institutions?

10. A population doubles every 8 years under a constant exponential growth model. Approximately what is its annual compound growth rate?

11. If x + 1/x = 3, where x ≠ 0, what is x² + 1/x²?

12. A can complete a task in 12 days and B in 18 days. Working together, how many days will they take?

13. A sum amounts to ₹13,310 in 3 years at 10% annual compound interest. What was the principal?

14. Two fair dice are rolled. What is the probability that their sum is 9, given that at least one die shows 4?

15. An object is placed beyond 2F of a convex lens. Which description of its image is correct?

16. In a monohybrid cross between two heterozygous tall pea plants (Tt × Tt), assuming complete dominance, what proportion of offspring is expected to be short?

17. Which change generally increases the rate of a chemical reaction by providing an alternative pathway with lower activation energy?

18. Choose the grammatically correct sentence.

19. Choose the closest meaning of the word “Ubiquitous”.

20. Find the next number: 2, 6, 15, 31, 56, ?

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Bihar School Teacher TRE 4.0 Recruitment 2026Mock Test 7 – Hard Level

1. Which of the following best explains the difference between formative and summative assessment?

2. According to Piaget, the ability to reason systematically about hypothetical propositions is most characteristic of which stage?

3. A teacher gives hints that gradually decrease as a learner becomes independent. Which concept most directly describes this support?

4. A test consistently gives similar results but does not measure the intended learning outcome. Which conclusion is most accurate?

5. Which teaching approach is most appropriate when students hold different misconceptions about the same scientific concept?

6. Under Article 21A of the Indian Constitution, the State must provide free and compulsory education to children in which age group?

7. The Champaran Satyagraha of 1917, associated with Gandhi, primarily concerned which issue?

8. Which river system is primarily associated with the Kosi River before it joins the Ganga?

9. Which constitutional amendment gave constitutional status to Panchayati Raj institutions?

10. A population doubles every 8 years under a constant exponential growth model. Approximately what is its annual compound growth rate?

11. If x + 1/x = 3, where x ≠ 0, what is x² + 1/x²?

12. A can complete a task in 12 days and B in 18 days. Working together, how many days will they take?

13. A sum amounts to ₹13,310 in 3 years at 10% annual compound interest. What was the principal?

14. Two fair dice are rolled. What is the probability that their sum is 9, given that at least one die shows 4?

15. An object is placed beyond 2F of a convex lens. Which description of its image is correct?

16. In a monohybrid cross between two heterozygous tall pea plants (Tt × Tt), assuming complete dominance, what proportion of offspring is expected to be short?

17. Which change generally increases the rate of a chemical reaction by providing an alternative pathway with lower activation energy?

18. Choose the grammatically correct sentence.

19. Choose the closest meaning of the word “Ubiquitous”.

20. Find the next number: 2, 6, 15, 31, 56, ?

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Bihar School Teacher TRE 4.0 Recruitment 2026
Mock Test 7 – Hard Level