Previous year questions · Central Teacher Eligibility Test

Central Teacher Eligibility Test Mathematics and Science — Previous Year Questions

Q: How many Central Teacher Eligibility Test Mathematics and Science previous year questions are available?

170 Mathematics and Science questions from past Central Teacher Eligibility Test papers are available on AajExam, split into 17 practice sets. New questions are added as fresh papers are released.

Q: Are the answers and explanations free?

Yes. Every question on this page shows its correct answer and explanation free of charge, and you do not need an account to read them. A free account only adds attempt tracking and performance analytics.

Q: Do Central Teacher Eligibility Test repeat questions from previous years?

Exact repeats do occur, but the more reliable pattern is conceptual: the same Mathematics and Science sub-topics reappear cycle after cycle with reworded questions. That is why working through past questions raises your score more reliably than reading theory alone.

Q: How should I use these questions in my Central Teacher Eligibility Test preparation?

Attempt a set of ten cold, review every wrong and guessed question with its explanation, then drill the weak sub-topic on its topic page before moving on. Revisit the same set after a few days — your second-attempt accuracy is the honest measure of whether the concept stuck.

170 Mathematics and Science questions asked in past Central Teacher Eligibility Test papers, split into 17 timed practice sets — every question with its answer and explanation.

170

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About Central Teacher Eligibility Test Mathematics and Science previous year questions

This page collects every Mathematics and Science question that has appeared in past Central Teacher Eligibility Test papers on AajExam — 170 questions in total, organised into 17 short, timed practice sets. Each question is shown with its four options, the correct answer, and an explanation of the reasoning, so you can use the page either as a self-test or as a revision reference. Why previous year questions are the highest-value Mathematics and Science preparation you can do for Central Teacher Eligibility Test: recruitment boards reuse a stable pool of concepts across cycles. The wording changes, the underlying idea rarely does. Working through a few hundred genuine past Mathematics and Science questions teaches you which sub-topics the paper actually rewards, how the examiner likes to frame distractors, and roughly how long each question type should take — none of which a syllabus document can tell you. How to use this page: attempt questions in blocks of ten without looking at the answers, then review every question you got wrong or guessed. Read the explanation for the concept, not just the answer letter. When a concept keeps catching you out, open the related topic page linked below and drill that single area before returning here. Repeat across the full bank, and track how your accuracy on the second pass compares with your first — a 15-20% improvement is normal and is the clearest sign your preparation is working. What is in this bank: the questions are transcribed from actual Central Teacher Eligibility Test question papers, kept in the original order and wording, with solutions written by subject specialists. Sets are free to attempt, work on mobile, and need no login to read. If you would rather practise a complete paper end to end under exam conditions, the full Central Teacher Eligibility Test previous-year papers are linked below as well.

Mathematics and Science PYQs asked in Central Teacher Eligibility Test

A sample of 30 questions from the full bank of 170. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.Identify the incorrect statement from among the following :
- A.Hypothesis have a role in construction of mathematical knowledge.
- B.The notion of argumentation is central to mathematics.
- C.Mathematical communication involves precise use of language.
- D.Conjectures do not have utility in constructing mathematical knowledge.
Show answer
Answer: D. Conjectures do not have utility in constructing mathematical knowledge.
Q2.Which of the following is a desirable strategy for assessing students’ learning in mathematics
- A.Same tasks should be given to all students for parity.
- B.Students’ incorrect answers should be ignored.
- C.Students’ justification of their responses should be an important basis of assessment.
- D.Development of mathematical vocabulary should not be a basis of assessment.
Show answer
Answer: C. Students’ justification of their responses should be an important basis of assessment.
Q3.For a given figure to be a triangle, the condition that it is a union of three segments is
- A.a necessary but not a sufficient condition.
- B.a sufficient but not a necessary condition.
- C.both necessary and sufficient condition.
- D.neither necessary nor sufficient condition.
Show answer
Answer: A. a necessary but not a sufficient condition.
Q4.Consider the following statements : A = If n is even, then n2 is even. B = If n2 is not even, n is not even. C = If n2 is even, then n is even. D = If n is not even, then n2 is not even. Which of the following statements is true
- A.C is converse of A.
- B.D is converse of A.
- C.B is inverse of A.
- D.D is contraposition of A. M
Show answer
Answer: A. C is converse of A.
Q5.Which of the following teaching- learning resources in mathematics cannot be used for visually challenged students
- A.GeoGebra
- B.Taylor’s abacus
- C.Tiles
- D.GeoBoard
Show answer
Answer: A. GeoGebra
Q6.Which of the following statements is true
- A.Mathematics consists of all the theorems proved in mathematics books.
- B.A person good in arithmetical computation is also good in Mathematics and vice-versa.
- C.Intuition has no role in generating mathematical knowledge.
- D.Mathematical statements can be conditional.
Show answer
Answer: D. Mathematical statements can be conditional.
Q7.Which of the following statements is NOT correct regarding differently abled children of dyslexia in mathematics learning in an inclusive classroom
- A.Dyslexia has an impact in a person’s co-ordination of verbal and spatial aspects of numbers.
- B.Visual patterns in mathematics help in overcoming difficulties experienced by dyslexic children.
- C.Dyslexic children may have difficulty in writing down their ideas in systematic and organized manner.
- D.Dyslexia impacts only language learning not mathematics learning.
Show answer
Answer: D. Dyslexia impacts only language learning not mathematics learning.
Q8.The number of distinct prime factors of the largest 6-digit number is
- A.3
- B.4
- C.5
- D.6
Show answer
Answer: C. 5
Q9.If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y)
- A.1
- B.2
- C.3
- D.4
Show answer
Answer: B. 2
Q10.Let a = 13, b = and c = be three fractions. Which of the following is true
- A.< <
- B.< <
- C.< <
- D.< < M
Show answer
Answer: C. < <
Q11.The major reason for using Bakelite for handles of pressure cooker is that
- A.it is bad conductor of heat.
- B.it is bad conductor of electricity.
- C.it is unbreakable.
- D.it is light in weight.
Show answer
Answer: A. it is bad conductor of heat.
Q12.The vitamins which also act as anti-oxidants are
- A.A, B and D
- B.A, C and E
- C.D, B and C
- D.D, E and K
Show answer
Answer: B. A, C and E
Q13.The following table depicts the presence or absence of certain cell organelles in three cells A, B, C. What could A, B, C be? Part of a cell | A | B | C Cytoplasm | ✓ | ✓ | ✓ Nucleus | ✓ | ✓ | ✓ Cell wall | ✓ | ✗ | ✓ Cell membrane | ✓ | ✓ | ✓ Chloroplast | ✓ | ✗ | ✗
- A.A - Plant Cell; B - Animal Cell; C - Plant Cell
- B.A - Animal Cell; B - Plant Cell; C - Animal Cell
- C.A - Plant Cell; B - Animal Cell; C - Animal Cell
- D.A - Plant Cell; B - Plant Cell; C - Animal Cell
Show answer
Answer: A. A - Plant Cell; B - Animal Cell; C - Plant Cell
Q14.Consider the following statements and choose the correct option. A) Measles is caused by Bacteria B) Malaria is caused by Plasmodium C) Typhoid is caused by Bacteria D) Leprosy is caused by Virus
- A.A, C
- B.B, C
- C.B, C, D
- D.A, C, D
Show answer
Answer: B. B, C
Q15.Read the following statements and choose the correct option. S1- Hen exhibits external fertilization S2- Hen is an oviparous animal
- A.Both S1 & S2 are true
- B.S1 is true but S2 is false
- C.S2 is true but S1 is false
- D.Both S1 & S2 are false
Show answer
Answer: C. S2 is true but S1 is false
Q16.Read the following statements and choose the correct option. Assertion (A) - A bird like owl can see very well in night but not during day. Reason (R) - Night birds have a few cones and a large number of rods in the retina.
- A.Both A & R are true and R is correct explanation of A
- B.Both A & R are true but R is not correct explanation of A
- C.A is true but R is false
- D.Both A and R are false
Show answer
Answer: A. Both A & R are true and R is correct explanation of A
Q17.Increasing the consumption of which of the following would help you increase the level of carbohydrate in your body?
- A.Maize
- B.Pea
- C.Soyabean
- D.Groundnut
Show answer
Answer: A. Maize
Q18.Read the following statements and choose the correct option. Assertion (A) - The speed of sound is more on a hot summer day than on a cold winter day Reason (R) - The density of hot air is less than the density of cold air
- A.Both A and R are true and R is correct explanation for A
- B.Both A and R are true but R is not the correct explanation for A
- C.A is true and R is not true
- D.A is not true and R is true
Show answer
Answer: B. Both A and R are true but R is not the correct explanation for A
Q19.Which of the following is NOT true about 'observing' in science?
- A.It involves seeing, tasting, touching, listening and smelling
- B.It focuses on telling "what it is"
- C.It gives unbiased truths about natural phenomena
- D.It helps in gathering first hand data about a phenomenon
Show answer
Answer: C. It gives unbiased truths about natural phenomena
Q20.According to the NCF-2005 Position Paper on Teaching of Science, which of the following is an important and transferable skill that helps the children in 'learning to learn' science?
- A.Ability to learn scientific facts
- B.Ability to recall the formulae to solve problems
- C.Ability to understand the process of scientific inquiry
- D.Ability to recall the contributions of great scientists
Show answer
Answer: C. Ability to understand the process of scientific inquiry
Q21.It is observed that a Copper vessel gets corroded in rainy season to give
- A.reddish brown coating of Copper oxide and Copper hydroxide
- B.greenish coating of Copper hydroxide and Copper Carbonate
- C.white coating of Copper Carbonate and Copper Oxide
- D.green coating of Copper Sulphide and Copper Carbonate
Show answer
Answer: B. greenish coating of Copper hydroxide and Copper Carbonate
Q22.Which of the following household substances will turn red litmus blue? (a) Baking Soda (b) Vinegar (c) Lemon Juice (d) Bleach
- A.a, b
- B.b, c
- C.a, c
- D.a, d
Show answer
Answer: D. a, d
Q23.Identify the pair of materials that burns with a flame
- A.Camphor, Magnesium
- B.Camphor, Coal
- C.Coal, Kerosene
- D.Kerosene, Charcoal
Show answer
Answer: A. Camphor, Magnesium
Q24.Which of the following statements is/are always true about the process of cloning? A. It is possible only in animals. B. It results in exact replication of a cell, a living part or an organism. C. It results in a large number of off-springs
- A.A & B
- B.Only B
- C.B & C
- D.Only A
Show answer
Answer: B. Only B
Q25.Read the following carefully and choose correct option Assertion (A) - A plastic bottle, half filled with boiling water and tightly capped, thereafter gets crushed when allowed to rest for some time. Reason (R) - Air pressure decreases with decrease in temperature in the bottle.
- A.Both A & R are correct and R is correct explanation for A
- B.Both A & R are correct but R is not correct explanation for A
- C.A is correct but R is not correct
- D.Both A and R are not Correct
Show answer
Answer: A. Both A & R are correct and R is correct explanation for A
Q26.Choose the incorrect statement:
- A.Magnets lose their properties on heating.
- B.Bar magnets should be kept in pairs with their unlike poles on the same side.
- C.Similar poles of magnets repel each other.
- D.Nickel and Cobalt do not get attracted by magnet.
Show answer
Answer: D. Nickel and Cobalt do not get attracted by magnet.
Q27.An object is placed in front of a convex lens in such a way that its real and magnified image is formed on the other side. If the top half of the convex lens is covered with a black/opaque paper then -
- A.the image magnification will be reduced.
- B.the top half of the image will vanish.
- C.the bottom half of the image will vanish.
- D.the sharpness of the image will be reduced.
Show answer
Answer: D. the sharpness of the image will be reduced.
Q28.A car that can travel at a maximum speed of 120 km/hr takes 7 hours 45 minutes to cover a distance of 372 Km. What is the difference between the maximum and the average speed of this car?
- A.40 km/hr
- B.48 km/hr
- C.72 km/hr
- D.120 km/hr
Show answer
Answer: C. 72 km/hr
Q29.Which of the following statements is incorrect in the context of earthquakes?
- A.Most earthquakes are caused by sudden slipping of tectonic plates and by volcanic eruptions.
- B.An earthquake of the magnitude of 3.0 on Richter scale can trigger a tsunami.
- C.A major earthquake is generally followed by tremors in the same area.
- D.Study of earthquakes is known as Seismology.
Show answer
Answer: B. An earthquake of the magnitude of 3.0 on Richter scale can trigger a tsunami.
Q30.Three objects A, B and C having different densities but same size are put in a liquid. Consider the following situations and arrange these in ascending order of buoyant force acting on each of the objects. (i) A is completely submerged in liquid. (ii) B floats with (1/4)th of its volume inside the liquid. (iii) C floats with (1/2)th of its volume inside the liquid.
- A.B < C < A
- B.B = C > A
- C.A < C < B
- D.A = B = C
Show answer
Answer: C. A < C < B

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Central Teacher Eligibility Test syllabus & pattern Full Central Teacher Eligibility Test question papers All Mathematics and Science practice

Frequently Asked Questions

How many Central Teacher Eligibility Test Mathematics and Science previous year questions are available?

170 Mathematics and Science questions from past Central Teacher Eligibility Test papers are available on AajExam, split into 17 practice sets. New questions are added as fresh papers are released.

Are the answers and explanations free?

Yes. Every question on this page shows its correct answer and explanation free of charge, and you do not need an account to read them. A free account only adds attempt tracking and performance analytics.

Do Central Teacher Eligibility Test repeat questions from previous years?

Exact repeats do occur, but the more reliable pattern is conceptual: the same Mathematics and Science sub-topics reappear cycle after cycle with reworded questions. That is why working through past questions raises your score more reliably than reading theory alone.

How should I use these questions in my Central Teacher Eligibility Test preparation?

Attempt a set of ten cold, review every wrong and guessed question with its explanation, then drill the weak sub-topic on its topic page before moving on. Revisit the same set after a few days — your second-attempt accuracy is the honest measure of whether the concept stuck.

Central Teacher Eligibility Test Mathematics and Science practice sets

Each set is a timed 10-question drill drawn from the same question bank.

About Central Teacher Eligibility Test Mathematics and Science previous year questions

Mathematics and Science PYQs asked in Central Teacher Eligibility Test

Q1.Identify the incorrect statement from among the following :

Q2.Which of the following is a desirable strategy for assessing students’ learning in mathematics

Q3.For a given figure to be a triangle, the condition that it is a union of three segments is

Q4.Consider the following statements : A = If n is even, then n2 is even. B = If n2 is not even, n is not even. C = If n2 is even, then n is even. D = If n is not even, then n2 is not even. Which of the following statements is true

Q5.Which of the following teaching- learning resources in mathematics cannot be used for visually challenged students

Q6.Which of the following statements is true

Q7.Which of the following statements is NOT correct regarding differently abled children of dyslexia in mathematics learning in an inclusive classroom

Q8.The number of distinct prime factors of the largest 6-digit number is

Q9.If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y)

Q10.Let a = 13, b = and c = be three fractions. Which of the following is true

Q11.The major reason for using Bakelite for handles of pressure cooker is that

Q12.The vitamins which also act as anti-oxidants are

Q14.Consider the following statements and choose the correct option. A) Measles is caused by Bacteria B) Malaria is caused by Plasmodium C) Typhoid is caused by Bacteria D) Leprosy is caused by Virus

Q15.Read the following statements and choose the correct option. S1- Hen exhibits external fertilization S2- Hen is an oviparous animal

Q16.Read the following statements and choose the correct option. Assertion (A) - A bird like owl can see very well in night but not during day. Reason (R) - Night birds have a few cones and a large number of rods in the retina.

Q17.Increasing the consumption of which of the following would help you increase the level of carbohydrate in your body?

Q18.Read the following statements and choose the correct option. Assertion (A) - The speed of sound is more on a hot summer day than on a cold winter day Reason (R) - The density of hot air is less than the density of cold air

Q19.Which of the following is NOT true about 'observing' in science?

Q20.According to the NCF-2005 Position Paper on Teaching of Science, which of the following is an important and transferable skill that helps the children in 'learning to learn' science?

Q21.It is observed that a Copper vessel gets corroded in rainy season to give

Q22.Which of the following household substances will turn red litmus blue? (a) Baking Soda (b) Vinegar (c) Lemon Juice (d) Bleach

Q23.Identify the pair of materials that burns with a flame

Q24.Which of the following statements is/are always true about the process of cloning? A. It is possible only in animals. B. It results in exact replication of a cell, a living part or an organism. C. It results in a large number of off-springs

Q25.Read the following carefully and choose correct option Assertion (A) - A plastic bottle, half filled with boiling water and tightly capped, thereafter gets crushed when allowed to rest for some time. Reason (R) - Air pressure decreases with decrease in temperature in the bottle.

Q26.Choose the incorrect statement:

Q27.An object is placed in front of a convex lens in such a way that its real and magnified image is formed on the other side. If the top half of the convex lens is covered with a black/opaque paper then -

Q28.A car that can travel at a maximum speed of 120 km/hr takes 7 hours 45 minutes to cover a distance of 372 Km. What is the difference between the maximum and the average speed of this car?

Q29.Which of the following statements is incorrect in the context of earthquakes?

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