CBSE · Central TET
CTET July 2024 — Paper I
The full paper as held on 7 July 2024, with answers and explanations for all 150 questions. Choose your Language I and Language II, practise online, or print the clean A4 paper.
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MAK LABS · maklabs.in
Central Teacher Eligibility Test — July 2024
Paper I
Conducted by the Central Board of Secondary Education
Instructions
- The paper has 150 multiple choice questions. Each question carries one mark.
- There is no negative marking for a wrong answer.
- Only one of the four options is correct.
- Parts I to III are common to all candidates. Parts IV and V are the two languages the candidate offered.
- The answer key is given at the end of this paper.
Part I — Child Development and Pedagogy
Questions 1 to 301.Which of the following would support continuous and comprehensive evaluation?
- (1) Best works portfolio
- (2) Growth and learning progress portfolio
- (3) Standardized achievement test
- (4) Standardized intelligence test
Why: Continuous and comprehensive evaluation tracks a child’s progress over time. A growth and learning progress portfolio keeps samples of work across the year. It shows how the child has grown. A best-works portfolio shows only the final best pieces. Standardised tests are one-time measures.
2.Assertion (A): Teachers should constantly examine their own attitudes and biases while working with children.
Reason (R): The process of problem-solving is hindered by functional fixedness.
Choose the correct option.
Reason (R): The process of problem-solving is hindered by functional fixedness.
Choose the correct option.
- (1) Both (A) and (R) are true and (R) is the correct explanation of (A).
- (2) Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (3) (A) is true but (R) is false.
- (4) Both (A) and (R) are false.
Why: Teachers should keep checking their own attitudes and biases, so (A) is true. Functional fixedness does block problem-solving, so (R) is also true. But (R) is about problem-solving, not about a teacher’s biases. So (R) does not explain (A).
3.While talking about her poor marks in mathematics Avi says “I just don’t have the sense for numbers” Avi is attributing his performance to:
- (1) Luck
- (2) Task difficulty
- (3) Lack of effort
- (4) Lack of ability
Why: Avi says he does not have “the sense for numbers”. He blames a lack of ability. Ability is an internal and stable cause in attribution theory. He is not blaming luck, the task or his effort.
4.According to Lev Vygotsky’s theory, which of the following is a recommended approach in order to optimize students’ learning experience?
- (1) providing students with work that is completely unrelated to their current level of understanding.
- (2) providing students with work that is just beyond their current level of understanding, with appropriate support and guidance.
- (3) providing no support to students and leaving them to struggle on their own.
- (4) providing students with work that they can manage and complete individually.
Why: Vygotsky’s Zone of Proximal Development is the gap between what a child can do alone and what the child can do with help. Work just beyond the present level, with support (scaffolding), gives the best learning.
5.Which of the following statement best describes the role of the teacher in progressive education?
- (1) The teacher is the primary source of knowledge.
- (2) The teacher serves as a facilitator.
- (3) The teacher implements the prescribed curriculum ‘as it is’.
- (4) The teacher leaves the children on their own to work independently.
Why: In progressive education the child learns by doing and exploring. The teacher guides and helps. So the teacher is a facilitator, not the only source of knowledge.
6.Howard Gardner’s concept of Intelligence implicates that:
- (1) everyone processes and understands the world in the same way.
- (2) human beings differ in their abilities in different domains.
- (3) intelligence has only one dimension.
- (4) intelligence is only about ‘practical’ learning.
Why: Gardner said there are multiple intelligences, such as linguistic, logical-mathematical, musical and spatial. People are strong in different areas. So human beings differ in their abilities in different domains.
7.Which of the following sequence of representation of concept is in accordance with children’s gradual development of cognitive abilities?
- (1) action-based, image-based, symbol-based
- (2) image-based, symbol-based, action-based
- (3) symbol-based, action-based, image-based
- (4) symbol-based, image-based, action-based
Why: Bruner gave three modes of representation in this order: enactive (action-based), iconic (image-based) and symbolic (symbol-based). Children move from actions to images to symbols as they grow.
8.Assertion (A): Teachers should provide emotional support to children in the classrooms to ensure effective learning.
Reason (R): Emotions and cognition are related to each other in complex ways.
Choose the correct option.
Reason (R): Emotions and cognition are related to each other in complex ways.
Choose the correct option.
- (1) Both (A) and (R) are true and (R) is the correct explanation of (A).
- (2) Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (3) (A) is true but (R) is false.
- (4) Both (A) and (R) are false.
Why: Emotions and thinking are closely linked. A child who feels safe and supported learns better. So both statements are true, and (R) explains why emotional support helps learning.
9.Which of the following statement about development is correct?
- (1) Development is a discontinuous process.
- (2) Development occurs in a spiral manner, not linear.
- (3) Development proceeds from specific to general.
- (4) Different aspects of development are independent to each other.
Why: Development is continuous. It goes in a spiral, not a straight line, because earlier learning is revisited at higher levels. It moves from general to specific, and its different aspects are inter-related.
10.According to Lev Vygotsky, children regulate their own behaviour through the:
- (1) Processes of adaptation
- (2) Use of inner speech
- (3) Process of equilibration
- (4) Use of self-reinforcement
Why: Vygotsky said children first talk aloud to guide themselves (private speech). This later becomes inner speech. Children use inner speech to plan and control their own behaviour.
11.Which pedagogical approach would be adopted by teachers who firmly believe in constructivism to teach concepts of floating and sinking to class V children?
- (1) Lecture method
- (2) Showing videos
- (3) Showing power point presentation
- (4) Guided discovery
Why: Constructivism says children build knowledge by doing. In guided discovery, children test objects in water and find out for themselves what floats or sinks. The teacher only guides. Lectures, videos and presentations are passive.
12.Which of the following is not an effective memory technique for meaningful learning?
- (1) Rote Rehearsal
- (2) Mnemonics
- (3) Concept Mapping
- (4) Elaborative Rehearsal
Why: Rote rehearsal means repeating information without understanding. It does not build meaning. Mnemonics, concept maps and elaborative rehearsal link new ideas with old ones, so they support meaningful learning.
13.Which of the following is not a characteristic of a well-formulated critical thinking question?
- (1) It is open-ended and allows for multiple answers.
- (2) It is based primarily on factual information.
- (3) It requires analysis and evaluation of information.
- (4) It promotes higher-level thinking and problem-solving skills.
Why: A good critical thinking question is open-ended. It needs analysis, evaluation and higher-level thinking. A question based mainly on facts only tests recall, so it is not a feature of such a question.
14.Assertion (A): Classroom pedagogy should be culturally responsive to meet the needs of students from diverse cultural backgrounds.
Reason (R): Equity in classroom can be ensured only through standardized curriculum and assessment.
Choose the correct option.
Reason (R): Equity in classroom can be ensured only through standardized curriculum and assessment.
Choose the correct option.
- (1) Both (A) and (R) are true and (R) is the correct explanation of (A).
- (2) Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (3) (A) is true but (R) is false.
- (4) Both (A) and (R) are false.
Why: Teaching should respect the cultures of all learners, so (A) is true. Equity does not come “only” from a standard curriculum and assessment. It needs flexibility and adaptation. So (R) is false.
15.Jagriti has learned that her dog, Rusty, is a Golden Retriever. When she sees another dog that looks similar to Rusty but is a different breed, she calls it a dog too. According to Jean Piaget’s theory of cognitive development, which concept does this demonstrate?
- (1) Egocentrism
- (2) Object permanence
- (3) Conservation
- (4) Assimilation
Why: Jagriti fits a new dog into her existing idea (schema) of “dog”. Fitting new experience into an old schema is assimilation in Piaget’s theory.
16.Heredity totally determine an individual’s:
(i) Sex
(ii) Gender
(iii) Academic Success
(iv) Learning Style
(i) Sex
(ii) Gender
(iii) Academic Success
(iv) Learning Style
- (1) (i)
- (2) (ii)
- (3) (i), (iii), (iv)
- (4) (ii), (iii), (iv)
Why: Biological sex is fixed by heredity (the chromosomes). Gender is a social role. Academic success and learning style depend a lot on the environment. So only (i) is totally decided by heredity.
17.Assertion (A): Teachers should focus on asking questions in classroom and encouraging children also to ask questions rather than giving instructions.
Reason (R): Child-centred pedagogy means giving opportunities to children’s voices and ensuring their participation.
Choose the correct option.
Reason (R): Child-centred pedagogy means giving opportunities to children’s voices and ensuring their participation.
Choose the correct option.
- (1) Both (A) and (R) are true and (R) is the correct explanation of (A).
- (2) Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (3) (A) is true but (R) is false.
- (4) Both (A) and (R) are false.
Why: Asking questions and inviting children’s questions gives them a voice. Child-centred pedagogy means giving children a voice and making them participate. So (R) correctly explains (A).
18.Repetitive and ritualistic behaviour is an identifying characteristic of:
- (1) Autism Spectrum Disorder
- (2) Learning Disabilities
- (3) Attention Deficit Hyperactivity Disorder
- (4) Cerebral palsy
Why: Repetitive and ritual-like behaviour, along with difficulty in social communication, is a key sign of Autism Spectrum Disorder.
19.Learners feel engaged and actively involved in process of learning when:
- (1) activities are related to their context.
- (2) focus of learning is repetition and memorization.
- (3) socio-emotional needs of learners are ignored.
- (4) their prior knowledge is discarded and negated.
Why: Children take active part in learning when the activities connect with their own life and context. Rote memorisation and ignoring their needs or prior knowledge reduce their involvement.
20.Children with ‘learning difficulties’ typically:
- (1) Have difficulties in reading due to their poor sight.
- (2) Have problems in regulating their emotions.
- (3) Have confusion with letter and alphabets that look alike.
- (4) Have very low IQ as diagnosed through standard intelligence tests.
Why: Children with learning difficulties, such as dyslexia, often confuse letters that look alike, for example b and d. It is not due to poor eyesight or a low IQ.
21.Feral children, those who experienced severe (human) social deprivation since very young age usually have delayed or hindered development and despite rehabilitation the improvement in certain domains of development is likely to be subordinate. This period wherein development is significantly influenced by environmental support is called _________.
- (1) deductive period
- (2) intuitive period
- (3) native period
- (4) sensitive period
Why: A sensitive period is a time when development is strongly shaped by the environment. If the right support is missing then, as with feral children, some abilities may never develop fully.
22.Preconceived generalizations about behaviour of various gender are called:
- (1) Gender stereotypes
- (2) Gender discriminations
- (3) Gender identity
- (4) Gender typing
Why: Fixed, pre-formed ideas about how boys and girls should behave are called gender stereotypes. For example, “boys do not cry”.
23.In an inclusive classroom:
- (1) ‘Special children’ always work on their own curriculum.
- (2) All children have access to and are included in classroom activities.
- (3) ‘Special’ children are looked upon as needy and dependent.
- (4) All children follow same curriculum and uniform pedagogy is adopted for all learners.
Why: In an inclusive classroom every child takes part in classroom activities. Teaching is adapted for each learner. Children are not separated or treated as needy.
24.What is the primary purpose of asking critical thinking questions?
- (1) To enable students to develop procedural knowledge.
- (2) To assess students’ knowledge and understanding skills.
- (3) To promote higher-level thinking and problem-solving skills.
- (4) To encourage students to memorize information.
Why: Critical thinking questions push students to analyse, evaluate and solve problems. Their main aim is to promote higher-level thinking, not memorisation.
25.Which of the following is correct about the process of learning, according to socio-constructivist theories?
- (1) Learning is an individualistic process that occurs in isolation.
- (2) Learning occurs only in a classroom or formal educational setting.
- (3) Learning is a passive process that occurs solely through observation.
- (4) Learning is a social process of meaning making.
Why: Socio-constructivist theories, such as Vygotsky’s, say learning happens through interaction with others. So learning is a social process of making meaning.
26.Assertion (A): While some children start babbling and uttering two word sentences at 12 months, others don’t do this till they are 20 months old.
Reason (R): Development milestones are only suggestive and development of individual children can be quite varied.
Choose the correct option.
Reason (R): Development milestones are only suggestive and development of individual children can be quite varied.
Choose the correct option.
- (1) Both (A) and (R) are true and (R) is the correct explanation of (A).
- (2) Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (3) (A) is true but (R) is false.
- (4) Both (A) and (R) are false.
Why: Children reach milestones at different times. Developmental milestones only give a rough age. Individual children vary. So (R) explains (A).
27.Growth in height and weight of children is an example of:
- (1) Quantitative change
- (2) Qualitative change
- (3) Change in affective domain
- (4) Change in cognitive domain
Why: Height and weight can be measured in numbers. An increase in them is growth, which is a quantitative change.
28.When presented with Heinz’s dilemma, Arunima reasons: “The law wasn’t set up for these circumstances. Taking the drug in this situation isn’t really right, but it’s justified.” Which stage of moral development is Arunima according to the theory of Lawrence Kohlberg?
- (1) Social concern and conscience
- (2) Morality of contract, of individual rights and of democratically accepted law
- (3) Orientation towards punishment and obedience
- (4) Instrumental purpose and exchange
Why: Arunima says the law did not fit this situation and the act is justified. She looks at rights and the purpose behind laws. This is Kohlberg’s Stage 5, social contract and individual rights, at the post-conventional level.
29.Which of the following is correct in context of gifted children?
- (1) Gifted children are free from risk of learning disability.
- (2) Gifted children certainly excel in all areas academic, social and emotional.
- (3) Gifted students are always happy, popular and well adjusted.
- (4) Gifted students learn at comparatively advanced pace than other students.
Why: Gifted children learn at a faster pace than others of the same age. They may still have learning difficulties or social and emotional problems. They are not always happy or good at everything.
30.As per Jean Piaget, pre-operational stage is characterized by abilities to perform:
- (1) Classification and seriation
- (2) Conservation and abstract thinking
- (3) Imitation and reversibility
- (4) Symbolic play and animism
Why: In Piaget’s pre-operational stage (about 2 to 7 years) children show symbolic (pretend) play. They also show animism, which means thinking that non-living things are alive. Conservation, reversibility, classification and seriation come later, in the concrete operational stage.
Part II — Mathematics
Questions 31 to 6031.In order to identify individual differences of students in the mathematics class, which of the following assessment technique will not be appropriate?
- (1) Summative assessment
- (2) Formative assessment
- (3) Diagnostic assessment
- (4) Peer assessment
Why: Summative assessment comes at the end of a unit or term. It gives a final grade. It does not show the individual learning needs of each child. Formative, diagnostic and peer assessment happen during learning and show these differences.
32.Which of the following resources is best suited to explain the concept of decimals?
(a) Number Chart
(b) Dienes Blocks
(c) Taylor’s Abacus
(d) Graph Paper
Choose the correct option:
(a) Number Chart
(b) Dienes Blocks
(c) Taylor’s Abacus
(d) Graph Paper
Choose the correct option:
- (1) Only (b)
- (2) (b) and (d)
- (3) (a) and (c)
- (4) (a) and (b)
Why: Decimals are parts of a whole in tenths and hundredths. Dienes blocks (flat = 1, long = 0.1, small cube = 0.01) and a 10 × 10 grid on graph paper show these parts clearly. So (b) and (d).
33.Students in a class are solving questions based on percentage discounts. One question requires the students to calculate the cost of two bikes, with a 8% discount on each bike. One of the groups calculates the total cost of the bikes and then deducts 16% from the total cost. The method used by this group is:
- (1) Correct and is the only way to calculate the discount and cost.
- (2) An alternate strategy to solve the question.
- (3) False, since they have deducted 16% discount from the total instead of 8%.
- (4) False, since they have deducted 16% from the total instead of 16% from the average of the total.
Why: The discount is 8% on each bike. So the discount on the total cost is also 8%, not 16%. Adding the two percentages is wrong. The group’s method is false.
34.Arrangement of fractions 1⁄9, 1⁄21, 3⁄7, 12⁄63 in decreasing order is:
- (1) 3⁄7, 1⁄9, 12⁄63, 1⁄21
- (2) 3⁄7, 12⁄63, 1⁄9, 1⁄21
- (3) 12⁄63, 3⁄7, 1⁄21, 1⁄9
- (4) 1⁄9, 12⁄63, 3⁄7, 1⁄9
Why: Change to decimals: 3⁄7 ≈ 0.43, 12⁄63 ≈ 0.19, 1⁄9 ≈ 0.11 and 1⁄21 ≈ 0.05. So the decreasing order is 3⁄7, 12⁄63, 1⁄9, 1⁄21.
35.Which of the following learning experiences for children does not reflect the contribution of mathematics to everyday life and society?
- (1) Communication of mathematical ideas in writing using both formal and informal languages.
- (2) Meeting people from different areas of employment and exploring how they use mathematics in their work.
- (3) Collecting, organising, representing and interpreting data in day-to-day life.
- (4) Play small group games that draw on mathematical skills and concepts.
Why: CBSE gave the mark for every option (key Z). The English question asks which experience does not reflect the use of mathematics in daily life. The Hindi version asks which one does reflect it. Because the two versions differ, all four options were accepted.
36.Which of the following represents the features of a mathematics laboratory?
(a) It is a place to enjoy mathematics through informal exploration.
(b) It provides opportunities to prove mathematical theorems through experiments.
(c) It provides opportunity to make conjectures, test them and to generalise observed patterns.
(d) It is used to assess students’ knowledge of mathematics and grade them accordingly.
Choose the correct option.
(a) It is a place to enjoy mathematics through informal exploration.
(b) It provides opportunities to prove mathematical theorems through experiments.
(c) It provides opportunity to make conjectures, test them and to generalise observed patterns.
(d) It is used to assess students’ knowledge of mathematics and grade them accordingly.
Choose the correct option.
- (1) (a) and (d)
- (2) (a) and (c)
- (3) (b) and (d)
- (4) (b) and (c)
Why: A mathematics lab is a place to enjoy maths through informal exploration. Children make guesses (conjectures), test them and generalise patterns. It is not meant for proving theorems by experiment or for grading students.
37.One crore is:
- (1) ten million
- (2) one million
- (3) one billion
- (4) hundred million
Why: 1 crore = 1,00,00,000 = 10,000,000. In the international system this is ten million.
38.In a certain week, the number of patients in a dental clinic was as follows:
Based on above table, choose the wrong statement:
| Day | Number of patients |
|---|---|
| Monday | 25 |
| Tuesday | 38 |
| Wednesday | 45 |
| Thursday | 18 |
| Friday | 36 |
| Saturday | 39 |
- (1) Range of the data is 27
- (2) On most of the days, number of patients was more than 30
- (3) Difference between the number of patients on Monday and Wednesday is 20
- (4) Total number of patients was 200
Why: Total = 25 + 38 + 45 + 18 + 36 + 39 = 201, not 200. So statement (4) is wrong. Range = 45 − 18 = 27. Four days out of six had more than 30 patients. 45 − 25 = 20.
39.Which of the following Indian mathematicians are known as founders of ‘numerical analysis’?
(i) Ramanujan
(ii) Bhaskaracharya
(iii) Varahmihir
(iv) Aryabhatta
Choose the correct option.
(i) Ramanujan
(ii) Bhaskaracharya
(iii) Varahmihir
(iv) Aryabhatta
Choose the correct option.
- (1) (i) and (iii)
- (2) (ii) and (iv)
- (3) (ii) and (iii)
- (4) (i) and (iv)
Why: [KEY] The CBSE final key gives option 1, Ramanujan and Varahamihira. Many books link early numerical methods with Aryabhata and Bhaskaracharya, which is option 2. Candidates were marked on option 1.
40.One egg has a mass of about 65 g, what is the mass of 2 dozen eggs?
- (1) 1.56 kg
- (2) 1 kg 56 g
- (3) 1.304 kg
- (4) 1 kg 544 g
Why: 2 dozen = 24 eggs. Mass = 24 × 65 g = 1560 g = 1.56 kg.
41.Saumya joined her job on 13-01-1992 and she took retirement on 31-03-2023. Duration of her service was:
- (1) 30 years 10 months and 19 days
- (2) 30 years 9 months and 18 days
- (3) 31 years 2 months and 19 days
- (4) 31 years 2 months and 18 days
Why: [KEY] From 13-01-1992 to 13-01-2023 is 31 years. Then to 13-03-2023 is 2 months. Then to 31-03-2023 is 18 days. The key gives 19 days because both the first day and the last day of service are counted.
42.Two angles of a triangle are 50° and 30°. Then, the third angle of the triangle is:
- (1) 100°
- (2) 40°
- (3) 60°
- (4) 80°
Why: The angles of a triangle add up to 180°. Third angle = 180° − (50° + 30°) = 100°.
43.National Curriculum Framework For Foundational Stage (NCFFS), 2022 highlighted the importance of the following components while teaching an abstract mathematical concept:
(a) Written Symbols
(b) Experience
(c) Spoken Language
(d) Picture Which of the following is the appropriate sequence of these components while teaching an abstract mathematical concept?
(a) Written Symbols
(b) Experience
(c) Spoken Language
(d) Picture Which of the following is the appropriate sequence of these components while teaching an abstract mathematical concept?
- (1) (c) → (a) → (d) → (b)
- (2) (b) → (c) → (a) → (d)
- (3) (c) → (d) → (a) → (b)
- (4) (b) → (c) → (d) → (a)
Why: NCF-FS 2022 suggests the order Experience → Spoken Language → Picture → Written Symbols. The child first handles real objects, then talks, then draws and finally writes symbols.
44.Two columns are given as shown below:
Column - I and II are matched as:
| Column - I | Column - II |
|---|---|
| (a) face of a black-board | (i) two end points |
| (b) a line has | (ii) one end point |
| (c) a ray has | (iii) represents a part of a plane |
| (d) a line segment has | (iv) no definite length |
- (1) (a)-(ii), (b)-(iii), (c)-(i), (d)-(iv)
- (2) (a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
- (3) (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
- (4) (a)-(i), (b)-(iii), (c)-(iv), (d)-(ii)
Why: The face of a blackboard is part of a plane. A line has no definite length. A ray has one end point. A line segment has two end points.
45.22 hm 8 dam is equal to:
- (1) 22800 m
- (2) 2208 m
- (3) 2280 m
- (4) 22080 m
Why: 1 hm = 100 m and 1 dam = 10 m. So 22 hm 8 dam = 2200 m + 80 m = 2280 m.
46.If x : y = p : q, then which of the following is true?
(a) x + y : y = p + q : q
(b) x − y : y = p − q : q
(c) x : p = y : q
(d) x + y : x − y = p − q : p + q
(a) x + y : y = p + q : q
(b) x − y : y = p − q : q
(c) x : p = y : q
(d) x + y : x − y = p − q : p + q
- (1) (a) and (b)
- (2) only (c)
- (3) (a) and (d)
- (4) (a), (b) and (c)
Why: If x : y = p : q, then (a) is true by componendo and (b) is true by dividendo. (c) is true by alternendo, since x : p = y : q. (d) is false. The correct form is x + y : x − y = p + q : p − q.
47.1233210 ÷ 5555 − 222 is equal to:
- (1) 1
- (2) 0
- (3) 2
- (4) 3
Why: 5555 × 222 = 1233210. So 1233210 ÷ 5555 = 222, and 222 − 222 = 0.
48.Which of the following statement(s) is/are true about numbers?
(a) All positive integers are whole numbers.
(b) All whole numbers are integers.
(c) All rational numbers are real numbers.
(d) All irrational numbers are real numbers.
Choose the correct option:
(a) All positive integers are whole numbers.
(b) All whole numbers are integers.
(c) All rational numbers are real numbers.
(d) All irrational numbers are real numbers.
Choose the correct option:
- (1) Only (b)
- (2) Only (c)
- (3) (b), (c) and (d)
- (4) (a) and (d)
Why: CBSE gave the mark for every option (key Z). All four statements are true. Positive integers are whole numbers. Whole numbers are integers. Rational and irrational numbers are both real numbers. No option lists all four.
49.Which of the following are correct examples of the statement “mathematics is hierarchical in levels that are logically structured”.
(a) The concept of integers needs to be developed before the concept of multiplication and division of numbers.
(b) Multiplication follows and builds on the concept of addition.
(c) Number sense needs to be developed before the concepts of addition and subtraction.
Choose the correct option:
(a) The concept of integers needs to be developed before the concept of multiplication and division of numbers.
(b) Multiplication follows and builds on the concept of addition.
(c) Number sense needs to be developed before the concepts of addition and subtraction.
Choose the correct option:
- (1) (a) and (b)
- (2) (b) and (c)
- (3) (a) and (c)
- (4) only (b)
Why: Multiplication is built on repeated addition, so (b) is right. Number sense must come before addition and subtraction, so (c) is right. Integers are not needed before multiplication and division, so (a) is wrong.
50.12 thousand + 13 hundred + 2 tens is equal to:
- (1) 12132
- (2) 130132
- (3) 13320
- (4) 121320
Why: 12 thousand = 12000, 13 hundred = 1300 and 2 tens = 20. Total = 12000 + 1300 + 20 = 13320.
51.While teaching equations a teacher explains the concept of a linear equation having unique solution. She further asks, “If a solution is given then how many equations you can create”?
Choose the correct option:
Choose the correct option:
- (1) One equation
- (2) No equation
- (3) Many equations
- (4) Two equations
Why: One solution fits many equations. For example, x = 2 satisfies x + 3 = 5, 2x = 4 and 5x − 1 = 9. So many equations can be made.
52.Which among the following is/are true about the computation in basic operations for Grade-II learners?
(a) It involves child’s ability to develop informal strategies.
(b) It involves child’s ability to estimate.
(c) It involves child’s ability to do calculations with large numbers.
Choose the correct option:
(a) It involves child’s ability to develop informal strategies.
(b) It involves child’s ability to estimate.
(c) It involves child’s ability to do calculations with large numbers.
Choose the correct option:
- (1) Only (c)
- (2) (b) and (c)
- (3) (a) and (c)
- (4) (a) and (b)
Why: Grade II children use their own informal ways of adding and subtracting. They also learn to estimate. Big-number calculation is not expected at this level.
53.A mathematics teacher discusses the concept of open and closed curve in class. For better understanding of students she gave an example with four points. If the curve is open then nature of four points is:
- (1) All are collinear
- (2) Two of them must be collinear
- (3) Three of them must be collinear
- (4) Three of them must be non-collinear
Why: If all four points lie on one line, joining them gives a straight path. Its ends do not meet. So the curve is open.
54.The main approach suggested by National Curriculum Framework (NCF) 2005 in teaching learning of mathematics is:
- (1) Instructivism
- (2) Pragmatism
- (3) Behaviourism
- (4) Constructivism
Why: NCF 2005 says children should build their own mathematical knowledge through activities, talk and reasoning. This is constructivism.
55.The missing number (?) in the following: 43, 47, 53, 59,? , 67, 71, 73 is:
- (1) 61
- (2) 60
- (3) 63
- (4) 65
Why: The numbers are consecutive prime numbers. The prime number after 59 is 61.
56.In a mathematics class a teacher explains the concept of different angles. He/she realizes that scissors is a best example to explain __________.
(a) Vertically opposite angles
(b) Linear pair of angles
(c) Corresponding angles
(d) Alternate angles
Choose the correct option:
(a) Vertically opposite angles
(b) Linear pair of angles
(c) Corresponding angles
(d) Alternate angles
Choose the correct option:
- (1) (a) and (b)
- (2) (a) and (c)
- (3) (c) and (d)
- (4) (b) and (c)
Why: The two blades of a pair of scissors cross like two lines. The angles opposite each other are vertically opposite angles. Two angles side by side on one blade make a linear pair.
57.Raju has turpentine oil in 5 containers each of 20 L size. He fills them in 10 cans of 5 L, 10 cans of 2 L and rest in 1 L cans. Number of 1 L cans filled is:
- (1) 25
- (2) 30
- (3) 22
- (4) 28
Why: Total oil = 5 × 20 = 100 L. 5 L cans hold 10 × 5 = 50 L. 2 L cans hold 10 × 2 = 20 L. Left = 100 − 70 = 30 L, so 30 cans of 1 L.
58.Which of the following letters has no line of symmetry?
- (1) L
- (2) A
- (3) M
- (4) X
Why: A, M and X can each be folded into two matching halves. L cannot, so it has no line of symmetry.
59.If (7 * 2) × (123) = 92496, then value of * is:
- (1) 2
- (2) 1
- (3) 4
- (4) 5
Why: 92496 ÷ 123 = 752. So the number is 752 and * = 5.
60.The difference between the greatest and smallest 6-digit numbers formed by using the digits 5, 1, 0, 3, 9 and 6 is:
- (1) 861741
- (2) 862731
- (3) 951741
- (4) 851731
Why: Greatest number = 965310. Smallest 6-digit number = 103569 (0 cannot be first). Difference = 965310 − 103569 = 861741.
Part III — Environmental Studies
Questions 61 to 9061.EVS at primary level is recommended to be transacted in an integrated approach. The most appropriate reasons are:
(a) EVS draws issues from subjects like Science, Social Science and Environmental Education.
(b) It helps in developing holistic understanding.
(c) It helps to reduce burden of students and teachers.
(d) It is convenient to teach integrated EVS.
(a) EVS draws issues from subjects like Science, Social Science and Environmental Education.
(b) It helps in developing holistic understanding.
(c) It helps to reduce burden of students and teachers.
(d) It is convenient to teach integrated EVS.
- (1) (c) and (d)
- (2) (b) and (c)
- (3) (a) and (b)
- (4) (a) and (d)
Why: EVS at the primary level brings together ideas from science, social science and environmental education. An integrated approach helps the child see the world as a whole. So (a) and (b) are the real reasons. Convenience and less burden are not the main aims.
62.As an EVS teacher, you wish your students to be aware of their own safety around adults so that they (can take care of themselves and) do not fall prey to sexual harassment. Which step you think is most appropriate?
- (1) Teach them about POCSO Act, 2012
- (2) Teach them to avoid strangers
- (3) Hold workshops about ‘Good Touch’ and ‘Bad Touch’
- (4) Hold self-defence workshops for girl students
Why: ‘Good Touch’ and ‘Bad Touch’ workshops teach children, in a simple way, to tell safe touch from unsafe touch. They also teach children to say no and tell a trusted adult. This suits young children best.
63.Roshni, an EVS teacher displays a data chart for how many seeds out of 20 seeds each of mustard, green gram, Bengal gram and chilli seeds germinated. She asks students to explain why variation in the germination rates of different seeds occur. She wants to assess the skill of:
- (1) experiment
- (2) prediction
- (3) drawing inference
- (4) investigation
Why: CBSE accepted two options, (2) and (3) (key D). Students look at the data chart and explain why germination rates differ. This needs drawing an inference from data. The key also accepted prediction.
64.With respect to Telangana the respective locations of Gujarat and Bihar are:
- (1) North west; South east
- (2) South west; North east
- (3) North east; North west
- (4) North west; North east
Why: Gujarat lies to the north-west of Telangana. Bihar lies to the north-east of Telangana.
65.Select maximum number of suitable tools of assessment to assess process skills in EVS.
(a) Teachers diary
(b) Project work
(c) Drawing diagrams
(d) Picture reading
(a) Teachers diary
(b) Project work
(c) Drawing diagrams
(d) Picture reading
- (1) (a), (b) and (c)
- (2) (b), (c) and (d)
- (3) (a), (c) and (d)
- (4) (a), (b) and (d)
Why: Process skills are observing, recording, drawing and interpreting. Project work, drawing diagrams and picture reading let children use these skills. A teacher’s diary is a record kept by the teacher.
66.On a Union Territory map on its one corner following scale is mentioned. Scale, 1 cm=155 m If a person measures the distance between two cities as 19.7 cm, the actual distance between the two cities is approximately:
- (1) 3.10 km
- (2) 31.00 km
- (3) 3.05 km
- (4) 30.5 km
Why: Actual distance = 19.7 × 155 m = 3053.5 m. This is about 3.05 km.
67.Mountaineers suffer nose bleeding at higher altitudes because:
- (1) The pressure in blood vessels exceeds outside pressure.
- (2) The pressure in blood vessels decreases than outside pressure.
- (3) The pressure in blood vessels equals the outside pressure.
- (4) Blood becomes thick at higher altitudes.
Why: Air pressure is low at high altitudes. The pressure of blood inside the blood vessels becomes more than the outside air pressure. So thin blood vessels in the nose may burst.
68.Select the group of poor conductors of heat from the following:
- (1) Wool, Wood, Iron
- (2) Air, Water, Copper
- (3) Air, Wool, Aluminium
- (4) Wool, Plastic, Wood
Why: Wool, plastic and wood do not let heat pass easily. They are poor conductors of heat. Iron, copper and aluminium are good conductors.
69.“Record how the seeds germinate into saplings from day 1 to day 10”. Rita gave this task to her students before teaching the lesson on ‘Germination’. She is trying to assess her students’ ability to:
(a) draw and represent
(b) predict how germinating seeds would look like
(c) observe and record
(d) infer from the given activity
(a) draw and represent
(b) predict how germinating seeds would look like
(c) observe and record
(d) infer from the given activity
- (1) (a) and (b)
- (2) (b) and (c)
- (3) (b), (c) and (d)
- (4) (a), (b) and (c)
Why: The task is given before the lesson. Students guess how the seeds will change, watch them each day, record what they see and draw conclusions. So it assesses predicting, observing and recording, and inferring.
70.There is a species ‘X’ of plants that grow in a huge number but is found only in ‘Y’ part of India in the whole world. Which type of species is it?
- (1) Abundant
- (2) Exotic
- (3) Endemic
- (4) Endangered
Why: A species found only in one particular region of the world is called endemic. Being found in large numbers there does not change this.
71.Environment in EVS means:
(a) Man-made environment
(b) Natural environment
(c) Social environment
(d) Cultural environment
(a) Man-made environment
(b) Natural environment
(c) Social environment
(d) Cultural environment
- (1) (a) and (b)
- (2) (b) and (c)
- (3) (a) and (c)
- (4) (a), (b), (c) and (d)
Why: In EVS, environment includes the natural, man-made, social and cultural surroundings of the child. So all four are included.
72.Select incorrect statement about elephant herds from the following:
- (1) Female elephants live in herds.
- (2) A herd has 20 to 25 female elephants and their young ones.
- (3) Male elephants live in the herd till they are 14 - 15 years old.
- (4) Male elephants of more than 15 years of age leave the herd and move around alone.
Why: According to the NCERT EVS textbook, a herd has about 10 to 12 female elephants and their young ones, not 20 to 25. The other statements about elephant herds are correct.
73.Map Reading activity in EVS classes develops certain abilities and skills in primary students. Those are:
(a) Understanding relative positions of places
(b) Understanding directions of places
(c) Understanding symbols and scale
(d) Drawing precisely according to the scale maps
(a) Understanding relative positions of places
(b) Understanding directions of places
(c) Understanding symbols and scale
(d) Drawing precisely according to the scale maps
- (1) (a), (b) and (c)
- (2) (b), (c) and (d)
- (3) (a), (c) and (d)
- (4) (b) and (c)
Why: Map reading helps children understand the relative positions and directions of places. It also helps them understand map symbols and scale. Drawing maps exactly to scale is too advanced for primary classes.
74.You are located at X and your school is located at Y. There is no straight path from your house to your school. So you first go to A which is about 125 m due north of X, then go to B which is 75 m due west of A, then go to C which is about 150 m due north of B and finally reach your school at Y which is 75 m due east of C. With respect to your school at Y, the correct direction of house at X is:
- (1) Due North
- (2) Due South
- (3) North west
- (4) South east
Why: All the east-west moves cancel out (75 m west, then 75 m east). The total movement is 125 m + 150 m = 275 m due north. So the school is due north of the house, and the house is due south of the school.
75.Saleem and Raju are young school goers. Saleem likes to eat lot of fried food and ‘maida’ products. Raju on the other hand eats home made healthy food but he never eats spinach and other green leafy vegetables. Which of the following disorders they are likely to suffer from, respectively?
- (1) Scurvy and Anaemia
- (2) Kwashiorkar and Anaemia
- (3) Obesity and Anaemia
- (4) Pellagra and Anaemia
Why: Too much fried food and maida gives extra calories, which leads to obesity. Green leafy vegetables like spinach give iron. Lack of iron causes anaemia.
76.Select from the following a group consisting of alloys only:
- (1) Brass, Bronze, Lithium
- (2) Magnesium, Aluminium, Steel
- (3) Steel, Brass, Tin
- (4) Steel, Brass, Bronze
Why: Steel (iron + carbon), brass (copper + zinc) and bronze (copper + tin) are alloys. Lithium, magnesium, aluminium and tin are pure metals.
77.Assertion: Stories and narratives have been used throughout the EVS textbooks.
Reason: Objective is to sensitise the child since he or she can empathise with characters in a story or narrative. Textbooks should sensitise the child to wide differences that exist within our society.
Reason: Objective is to sensitise the child since he or she can empathise with characters in a story or narrative. Textbooks should sensitise the child to wide differences that exist within our society.
- (1) Both the Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
- (2) Both the Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion.
- (3) Assertion is true but the Reason is false.
- (4) The Assertion is false but Reason is true.
Why: Stories and narratives are used in EVS books so that children feel for the characters. This builds empathy and sensitivity to differences in society. So the Reason explains the Assertion.
78.The volume of the earth consists of the following:
(a) 1% Crust
(b) 84% Mantle
(c) 15% Core
Choose the correct option from the following:
(a) 1% Crust
(b) 84% Mantle
(c) 15% Core
Choose the correct option from the following:
- (1) Only (a) and (b) are correct.
- (2) Only (b) and (c) are correct.
- (3) Only (a) and (c) are correct.
- (4) All (a), (b) and (c) are correct.
Why: By volume, the crust is about 1%, the mantle about 84% and the core about 15% of the earth. So all three statements are correct.
79.Read the Assertion (A) and Reason (R) below and choose the correct option.
Assertion (A): Travellers like Al-Biruni and Ibn Batuta travelled from India to different countries.
Reason (R): Travelling led to sharing of ideas between people.
Assertion (A): Travellers like Al-Biruni and Ibn Batuta travelled from India to different countries.
Reason (R): Travelling led to sharing of ideas between people.
- (1) Both (A) and (R) are true and (R) explains (A).
- (2) Both (A) and (R) are true but (R) does not explain (A).
- (3) (A) is true but (R) is false.
- (4) (A) is false but (R) is true.
Why: Al-Biruni and Ibn Battuta travelled to India from other countries, not from India to other countries. So (A) is false. Travel did help people share ideas, so (R) is true.
80.An EVS teacher asks her students to imagine and answer, “What would have happened if all birds were killed at once from earth?” Such a question is:
- (1) Convergent question
- (2) Hypothetical question
- (3) Divergent question
- (4) Philosophical question
Why: The question asks “what would happen if…”. It asks children to imagine a situation that has not happened. Such a question is hypothetical.
81.In NCERT textbook of class V there is a real story of Suryamani who lives in Jharkhand. The chapter depicts tribal life and role of Suryamani. Select the most important aspects addressed by the chapter relevant for students.
(a) Popular perceptions and biases about the tribal communities.
(b) Close relationship between forest dwellers (communities) and forests.
(c) Girls education how it changes their life.
(d) The forest products used by tribes.
(a) Popular perceptions and biases about the tribal communities.
(b) Close relationship between forest dwellers (communities) and forests.
(c) Girls education how it changes their life.
(d) The forest products used by tribes.
- (1) (a), (b) and (c)
- (2) (b), (c) and (d)
- (3) (a), (c) and (d)
- (4) (b) and (c)
Why: The Suryamani chapter talks about common ideas and biases about tribal people. It shows the close bond between forest dwellers and forests. It also shows how education changed Suryamani’s life.
82.Which one/are of the following mountains is/are considered to be volcanic in origin?
(a) Mt. Kilimanjaro
(b) Fujiyama
(c) The Alps
Choose the correct option:
(a) Mt. Kilimanjaro
(b) Fujiyama
(c) The Alps
Choose the correct option:
- (1) (a) and (c)
- (2) (b) and (c)
- (3) Only (c)
- (4) (a) and (b)
Why: Mount Kilimanjaro and Mount Fuji are volcanic mountains. The Alps are fold mountains.
83.Consider the following statements (A) and (B).
Statement (A): Crows build nests on very low branches on a tree.
Statement (B): Weaver bird stitches two leaves to make its nest.
Select the correct code from the following:
Statement (A): Crows build nests on very low branches on a tree.
Statement (B): Weaver bird stitches two leaves to make its nest.
Select the correct code from the following:
- (1) (A) and (B) both are correct.
- (2) (A) and (B) both are wrong.
- (3) (A) is correct but (B) is wrong.
- (4) (A) is wrong but (B) is correct.
Why: [KEY] Crows build their nests high up in trees, so (A) is wrong. The key treats (B) as correct. Note that in NCERT books it is the tailorbird that stitches two leaves together. The weaver bird weaves its nest from grass.
84.Read the following Assertion (A) and Reason (R) and choose the correct option.
Assertion (A): People can easily float on the surface of water of Dead Sea even if they do not know to swim.
Reason (R): Dead Sea has 300 gm of salt in one litre of water making it, the sea having highest salt concentration.
Assertion (A): People can easily float on the surface of water of Dead Sea even if they do not know to swim.
Reason (R): Dead Sea has 300 gm of salt in one litre of water making it, the sea having highest salt concentration.
- (1) Both (A) and (R) are true and (R) explains (A).
- (2) Both (A) and (R) are true but (R) dose not explain (A).
- (3) (A) is true but (R) is false.
- (4) (A) is false but (R) is true.
Why: The Dead Sea has a very high amount of salt in its water. Salty water is dense and pushes up more strongly. So people float easily. (R) explains (A).
85.Samar asks his students to consult their family members to find out the names of different food items cooked by different methods like steaming, roasting, boiling, frying etc. The most appropriate reason for this activity is to:
- (1) encourage experimentation
- (2) improve social interaction
- (3) provide opportunities for children to work in groups
- (4) encourage home work
Why: Children talk with family members to collect the information. This builds social interaction between the child and the family.
86.Which of the following best reflect experiential strategies in teaching EVS at primary level?
(a) Discussion
(b) Demonstration
(c) Field Trips
(d) Art integrated learning
(a) Discussion
(b) Demonstration
(c) Field Trips
(d) Art integrated learning
- (1) (a), (b) and (d)
- (2) (b), (c) and (d)
- (3) (a), (c) and (d)
- (4) (a), (b) and (c)
Why: Demonstration, field trips and art-integrated learning give children direct experience. Discussion is mainly talk, so it is less experiential.
87.Statement I: The EVS curriculum is framed within social constructivist perspective of learning.
Statement II: Piaget’s ideas about children’s learning with his in-depth study of children represent the social constructivist perspective.
Statement II: Piaget’s ideas about children’s learning with his in-depth study of children represent the social constructivist perspective.
- (1) Both the Statement I and Statement II are correct
- (2) Both the Statement I and Statement II are false
- (3) Statement I is true but Statement II is false
- (4) Statement I is false but Statement II is true
Why: The EVS curriculum follows the social constructivist view, so Statement I is true. Piaget’s work stands for cognitive (individual) constructivism. Social constructivism comes from Vygotsky. So Statement II is false.
88.It is 7.30 P.M. in India today. It is 2 P.M. of the same day:
- (1) in London
- (2) in Japan
- (3) in Dhaka
- (4) in Karachi
Why: Indian time is 5 hours 30 minutes ahead of Greenwich Mean Time. 7.30 P.M. in India is 2.00 P.M. at Greenwich, that is, in London.
89.Which of the following strategy promotes inquiry while teaching the theme ‘Travel’?
- (1) Asking students to collect pictures of various means of transport.
- (2) Asking students to narrate their or their neighbours’ experiences of travelling.
- (3) Asking students to make a digital presentation on vintage cars.
- (4) Showing pictures of various places of interest in nearby areas.
Why: When children tell their own or their neighbours’ travel experiences, they ask, compare and find out. This promotes inquiry. Collecting pictures or looking at pictures is less inquiry-based.
90.A teacher follows the following methods while teaching EVS: Think-Pair-Share, Reciprocal Peer Tutoring, Jigsaw Strategy and Peer Review. These are examples of:
- (1) Peer group learning
- (2) Constructivist approach
- (3) Didactic approach
- (4) Inductive approach
Why: CBSE accepted two options, (1) and (2) (key A). In Think-Pair-Share, Jigsaw, reciprocal peer tutoring and peer review, students learn from one another. So these are peer group learning. They also follow a constructivist approach.
Part IV — Language I — English
Questions 91 to 120Source text not reproduced. This question and the ones that follow it are based on an extract that is still in copyright, so it is not reprinted here. Read it in the official question paper, then use the questions below.
91.Which of the following statements is/are right?
(a) The stranger did not seem to be badly hurt.
(b) Mini-Moris went past the stranger and then stopped.
(a) The stranger did not seem to be badly hurt.
(b) Mini-Moris went past the stranger and then stopped.
- (1) (a) is right and (b) is wrong.
- (2) (b) is right and (a) is wrong.
- (3) Neither (a) nor (b) is right.
- (4) Both (a) and (b) are right.
Why: The stranger only had a cut on his cheek, so he was not badly hurt. Bill first drove round him. He stopped only after he saw the car in the ditch. So both statements are right.
92.Which of the following statements is/are correct?
- (1) There was snowfall, and a ditch along the road so Bill was driving very carefully.
- (2) Because of snow, he was driving very slowly.
- (3) It was night time, so there was no traffic on the road, so Bill was driving in a carefree manner.
- (4) It was the dead of night, so Bill was feeling drowsy while driving.
Why: The coat was snow-caked and the stranger’s car had skidded into a deep ditch. Bill braked gently so that he would not follow it into the ditch. He was driving carefully.
93.‘. . . . he loomed up in front of . . . .’
The underlined phrase means the same as:
The underlined phrase means the same as:
- (1) fell down
- (2) appeared
- (3) drove up
- (4) looked up
Why: To loom up means to appear suddenly, often as a large or unclear shape. So the phrase means “appeared”.
94.‘. . . . brought the Mini-Moris gradually to a stop’.
The underlined is opposite in meaning to __________.
The underlined is opposite in meaning to __________.
- (1) generally
- (2) usually
- (3) suddenly
- (4) mainly
Why: “Gradually” means slowly, little by little. Its opposite is “suddenly”.
95.Pat gave a little gasp and I braked at once.
The underlined is a/an __________.
The underlined is a/an __________.
- (1) Pronoun
- (2) Preposition
- (3) Conjunction
- (4) Interjection
Why: “And” joins two clauses: “Pat gave a little gasp” and “I braked at once”. A word that joins clauses is a conjunction.
96.It was then that I saw the car.
Identify the underlined clause.
Identify the underlined clause.
- (1) Principal
- (2) Noun
- (3) Adjective
- (4) Adverb
Why: The underlined part “that I saw the car” has its own subject and verb. In this sentence it works like a noun. So it is a noun clause.
97.Study the following statements:
(a) Pat is bold and compassionate.
(b) Bill is protective of Pat and not timid
(c) A badly hit car was parked by the side walk.
(a) Pat is bold and compassionate.
(b) Bill is protective of Pat and not timid
(c) A badly hit car was parked by the side walk.
- (1) (a) is right but (b) and (c) are wrong.
- (2) (b) is right but (a) and (c) are wrong.
- (3) (a) and (b) are right but (c) is wrong.
- (4) (b) and (c) are right but (a) is wrong.
Why: Pat smiles at the injured stranger and wants to stop, so she is bold and kind. Bill worries about his sister’s safety, but he still stops to help, so he is protective and not timid. The car was in a ditch, not parked by the sidewalk. So (c) is wrong.
98.Bill was travelling with:
- (1) his brother
- (2) his sister
- (3) a friend
- (4) a stranger
Why: Bill says, “I wasn’t going to take any chance with Pat, my sister, there.” Pat also calls Bill her brother.
99.Which of the following statements is not correct? After slowing down the car, Bill hesitated as:
- (1) it was a dark spot, so it might be a case of robbery.
- (2) only Pat, a woman was sitting beside him.
- (3) both
- (4) in the cold, the car may not start again.
Why: Bill hesitated because of recent hold-up cases and because his sister was with him. The passage says nothing about his car not starting in the cold. So statement (4) is not correct.
‘What dost thou do here?’ the Bishop he said,
‘I prithee now tell to me’,
‘I am a bold harper’, quoth Robin Hood,
‘And the best in the north countree’.
‘O welcome, O welcome!’ the Bishop he said,
‘That music best pleaseth me.’
‘You shall have no music’, quoth Robin Hood,
‘Till the bride and the bridegroom I see’.
With that came in a wealthy knight,
Which was both grave and old,
And after him a finikin lass,
Did shine like glistening gold.
‘This is no fit match’, quoth bold Robin Hood,
‘That you do seem to make here;
‘For since we are come into the church,
The bride she shall choose her own dear’.
‘I prithee now tell to me’,
‘I am a bold harper’, quoth Robin Hood,
‘And the best in the north countree’.
‘O welcome, O welcome!’ the Bishop he said,
‘That music best pleaseth me.’
‘You shall have no music’, quoth Robin Hood,
‘Till the bride and the bridegroom I see’.
With that came in a wealthy knight,
Which was both grave and old,
And after him a finikin lass,
Did shine like glistening gold.
‘This is no fit match’, quoth bold Robin Hood,
‘That you do seem to make here;
‘For since we are come into the church,
The bride she shall choose her own dear’.
100.Study the following statements:
(a) The Bishop asked Robin Hood the purpose of his visit.
(b) Robin Hood pretended to be a musician.
(a) The Bishop asked Robin Hood the purpose of his visit.
(b) Robin Hood pretended to be a musician.
- (1) (a) is right and (b) is wrong.
- (2) (b) is right and (a) is wrong.
- (3) Both (a) and (b) are right.
- (4) Both (a) and (b) are wrong.
Why: The Bishop asks, “What dost thou do here?” This is asking the purpose of his visit. Robin Hood says, “I am a bold harper”, so he pretends to be a musician. Both statements are right.
101.What was going to take place in the church?
- (1) a wedding
- (2) a Sunday sermon
- (3) a baptism
- (4) a funeral service
Why: Robin Hood wants to see “the bride and the bridegroom”. So a wedding was going to take place.
102.‘I prithee now . . .’ The expression means:
- (1) I prevent you.
- (2) I warn you.
- (3) I request you.
- (4) I order you.
Why: “Prithee” is an old form of “I pray thee”. It means “please” or “I request you”.
103.Robin Hood met the Bishop:
- (1) in the churchyard
- (2) in the church
- (3) at his residence
- (4) in the market
Why: Robin Hood says, “For since we are come into the church”. So they met in the church.
104.Which one of the following statements is incorrect?
- (1) The bridegroom was rich and handsome.
- (2) He was old and dull looking.
- (3) The bride was young and beautiful.
- (4) She was not eagerly waiting for the ceremony.
Why: The bridegroom is described as a wealthy knight who was “both grave and old”. He was not young and handsome. So statement (1) is incorrect.
105.Which literary device has been used in the expression - ‘Did shine like glistening gold’?
- (1) Simile
- (2) Metaphor
- (3) Personification
- (4) Hyperbole
Why: The lass is compared to gold with the word “like”. A comparison using “like” or “as” is a simile.
106.A child does not write a paragraph on her own even after brainstorming the topic. However, she is able to write it under adult or peer guidance. This guidance is called __________.
- (1) Scaffolding
- (2) Peer teaching
- (3) Peer counselling
- (4) Team teaching
Why: Help given by an adult or a more able peer so that a child can do what she cannot yet do alone is called scaffolding. It comes from Vygotsky’s ideas.
107.__________ is a type of learning in which a child has to use higher-order mental processes such as intelligence or reasoning.
- (1) Verbal learning
- (2) Concept learning
- (3) Motor skills learning
- (4) Structure learning
Why: Concept learning needs reasoning. The child sees common features in many examples and forms a general idea. So it uses higher-order mental processes.
108.You as a teacher appreciate a child for her ‘overall language use’, though some of the words are misspelt by her. You are here using __________ approach in your class.
- (1) Whole language
- (2) Communicative
- (3) Constructivist
- (4) Structural
Why: The whole language approach values meaning and overall use of language. Small errors like spellings are not the main focus.
109.You are a Hindi speaking teacher, but you get posted in a primary school which is in the area of Punjab. Since you do not know the local language of that area, you should:
- (1) immediately apply for the transfer to a Hindi speaking area.
- (2) use the child’s language as a resource and start teaching.
- (3) communicate in English
- (4) motivate the community to learn Hindi.
Why: The child’s home language is a resource for learning. The teacher should use it as a bridge and start teaching.
110.__________ comprehension is the skill of reading a piece of text closely or intensely for the purpose of extracting specific information from the text.
- (1) Global
- (2) Local
- (3) Inferential
- (4) Evaluative
Why: Reading a text closely to pick out specific details is local comprehension. Global comprehension is about the main idea of the whole text.
111.The purpose of diagnostic test in language learning is to:
- (1) Plan and prepare questions for summative assessment.
- (2) Inform the parents in the PTMs and ask them to pay attention.
- (3) Know the gaps in learner’s understanding and take remedial steps.
- (4) Use the findings in the progress report of students.
Why: A diagnostic test finds the learner’s gaps and difficulties. The teacher then plans remedial teaching.
112.Which one of the following is a correct statement about a textbook?
- (1) A textbook is the final thing for the teacher and the student.
- (2) It helps to achieve the objectives laid down in the curriculum.
- (3) It is a planning of educational activities for the session.
- (4) A textbook is irreplaceable.
Why: A textbook is one tool for reaching the objectives of the curriculum. It is not the final or only resource, and it can be replaced by other materials.
113.Which of the following classroom practices helps a teacher to develop oral language among the students?
- (1) Chorus reading of the text with the teacher.
- (2) Chorus recitation of the poem after memorising it.
- (3) Participating in role-plays.
- (4) Practicing the correct pronunciation of new or unfamiliar words.
Why: In role-plays children speak in real-like situations. This builds oral language. Chorus reading and recitation are only repetition.
114.When we say ‘Language is arbitrary’, we mean to say that:
- (1) there is an inherent relation between the words of a language and their meaning.
- (2) the relation between words and their meaning is based on a valid reason and not on chance.
- (3) there is no inherent relation between the words of a language and their meaning.
- (4) Language follows prefixed principles.
Why: “Language is arbitrary” means there is no natural link between a word and what it means. For example, a tree is called “tree” in English and “pedh” in Hindi.
115.Deductive approach of teaching grammar advocates that, we should __________ first.
- (1) present examples
- (2) present rules
- (3) present genuine communication
- (4) provide practice through drills
Why: The deductive approach first gives the rule. Then examples and practice follow.
116.__________ is a way of estimating or guessing beyond the facts.
- (1) Explanation
- (2) Analysis
- (3) Inference
- (4) Extrapolation
Why: Extrapolation means guessing or estimating beyond the given facts, based on a trend.
117.A language teacher must promote learners for free writing, as the key benefit of free writing is that:
- (1) it encourages learners to write fluently and creatively.
- (2) gives the freedom to write or not.
- (3) does not make them feel that they have to write much or be totally accurate.
- (4) can incorporate features of written language from their first language.
Why: Free writing lets learners write without worrying about errors. Its key benefit is that it builds fluency and creativity.
118.As a teacher of class V you ask the students to read the text thoroughly. Then you ask them to answer the questions with reference to the context (RTC). In this process, you are encouraging students for __________.
- (1) extensive reading
- (2) scanning
- (3) skimming
- (4) intensive reading
Why: Reading a text thoroughly and answering questions with reference to the context is intensive reading.
119.Language acquisition occurs only when the __________.
- (1) child is taught the rules of grammar
- (2) child is given practice in translation
- (3) child is given opportunity to read
- (4) child has exposure to the language
Why: A child acquires a language naturally when there is enough exposure to it, that is, when the child hears and uses it in meaningful ways.
120.Excluding mother tongue in the classroom is the characteristic feature of the __________ method.
- (1) Natural
- (2) Bilingual
- (3) Audio-lingual
- (4) Direct
Why: The Direct method teaches only through the target language. The mother tongue and translation are not used.
Part V — Language II — Marathi
Questions 121 to 150Source text not reproduced. This question and the ones that follow it are based on an extract that is still in copyright, so it is not reprinted here. Read it in the official question paper, then use the questions below.
121.‘शरीराची रोगप्रतिकारक शक्ती वाढतेब. या वाक्यातील क्रियापद शोधा.
- (1) शरीर
- (2) प्रतिकारक
- (3) शक्ती
- (4) वाढते
Why: वाक्यातील क्रिया दाखवणारा शब्द ‘वाढते’ आहे. म्हणून ‘वाढते’ हे क्रियापद आहे.
122.‘किरकोळब, ‘तात्पुरताब या आशयाचा कोणता शब्द उताऱ्यात आहे?
- (1) विकार
- (2) शर्यत
- (3) जुजबी
- (4) घासाघीस
Why: ‘जुजबी’ म्हणजे किरकोळ, वरवरचे. उताऱ्यात “नक्की रत्नागिरी ना” असे जुजबी विचारत, असा उल्लेख आहे.
123.लेखकाच्या मते विक्रीच्या बाबतीत पहिला क्रमांक कोणाचा?
- (1) लंगडा
- (2) हापूस
- (3) दशेरी
- (4) केशर
Why: उताऱ्यानुसार लंगडा आंबा विक्री आणि रसनेच्या शर्यतीत पहिला नंबर पटकावतो.
124.महाराष्ट्रात फारसा परिचित नसलेला आंबा कोणता?
- (1) मनोहर
- (2) नीलम
- (3) केशर
- (4) रासपुरी
Why: उताऱ्यात सांगितले आहे की रासपुरी आंब्याची महाराष्ट्रात किंवा उत्तर भारतात तितकीशी ओळख नाही.
125.उताऱ्याप्रमाणे मार्च महिन्यापासून बाजारात दिसू लागणारे फळ कोणते?
- (1) बादामी
- (2) केसर
- (3) लंगडा
- (4) दशेरी
Why: उताऱ्यानुसार बाजारात पहिला नंबर बदामीचा. कर्नाटकचे हे फळ साधारणपणे मार्चपासून दिसू लागते.
126.पुढीलपैकी कोणत्या शब्दाचे अनेकवचनी रूप ‘एब कारान्त होते?
- (1) प्रजाती
- (2) माणूस
- (3) जीभ
- (4) रसना
Why: ‘माणूस’ या शब्दाचे अनेकवचन ‘माणसे’ होते. ते ‘ए’कारान्त आहे.
127.आंब्याची कोणती प्रजाती राजवटीच्या नावाने प्रसिद्ध आहे?
- (1) मल्लिका
- (2) बंगनपल्ले
- (3) लंगडा
- (4) दशेरी
Why: बंगनपल्ले राजवट हे या आंब्याचे मूळ आहे. म्हणून तो त्याच नावाने ओळखला जातो.
128.आंब्यामुळे काय होते? चुकीचा पर्याय शोधा.
- (1) पोटांचे विकार कमी होतात
- (2) विटामिन मिळते
- (3) अँटिऑक्सिडंट मिळते
- (4) रोग होण्याची शक्यता
Why: उताऱ्यानुसार आंब्यामुळे पोटाचे विकार कमी होतात, जीवनसत्त्वे आणि अँटिऑक्सिडंट मिळतात. उलट हृदयरोग होण्याची शक्यता कमी होते. म्हणून पर्याय (4) चुकीचा आहे.
Source text not reproduced. This question and the ones that follow it are based on an extract that is still in copyright, so it is not reprinted here. Read it in the official question paper, then use the questions below.
129.‘सत्याप्पा शेतावर कामाला निघालाब. या वाक्यातील कर्म ओळखा.
- (1) सत्याप्पा
- (2) शेतावर
- (3) कामाला
- (4) निघाला
Why: [KEY] उत्तरसूचीने ‘शेतावर’ हे कर्म मानले आहे. व्याकरणदृष्ट्या ‘निघाला’ हे अकर्मक क्रियापद आहे, त्यामुळे या वाक्याला खरे कर्म नाही. गुण पर्याय (2) ला दिले गेले.
130.‘पांदीब/‘पाणंदब म्हणजे काय?
- (1) शेतातून जाणारी अरुंद वाट
- (2) शेतावर काम करणारा मजूर
- (3) गावच्या सुना-लेकी
- (4) पाखरांचा थवा
Why: पांदी किंवा पाणंद म्हणजे शेतातून जाणारी अरुंद वाट. उताऱ्यात लोक, गुरे आणि मुली याच वाटेने शेतावर जातात.
131.उताऱ्यातील ‘धडोतीब या शब्दाचा अर्थ काय?
- (1) शेला
- (2) कुंकू
- (3) वस्त्र
- (4) उपरणे
Why: ‘धडोती’ म्हणजे नेसायचे वस्त्र (लुगडे). गावच्या सुना-लेकी रंगीबेरंगी धडोती नेसून जात.
132.“गजगामिनी म्हशी” यातील अधोरेखित काय आहे?
- (1) नाम
- (2) कर्म
- (3) कर्ता
- (4) विशेषण
Why: ‘गजगामिनी’ हा शब्द ‘म्हशी’ या नामाचे वर्णन करतो (हत्तीसारख्या डौलात चालणाऱ्या). म्हणून तो विशेषण आहे.
133.प्रस्तुत उताऱ्यात पुढीलपैकी कोणत्या फळाचा उल्लेख आलेला नाही?
- (1) आवळा
- (2) चिंच
- (3) बोरं
- (4) करवंदं
Why: उताऱ्यात चिंच, बोरे आणि करवंदे यांचा उल्लेख आहे. आवळ्याचा उल्लेख नाही.
134.पाणंद कधी स्वस्थ व्हायची?
- (1) सकाळी
- (2) दुपारी
- (3) तिन्हीसांजी
- (4) पहाटे
Why: सकाळची वर्दळ संपल्यावर तीन-चार तास पाणंद स्वस्थ असायची. ही वेळ दुपारपर्यंतची आहे.
135.‘पुढे तरी पळा किंवा मागे तरीब यातील ‘तरीब हे काय आहे?
- (1) केवलप्रयोगी अव्यय
- (2) शब्दयोगी अव्यय
- (3) उभयान्वयी अव्यय
- (4) सकर्मक क्रियापद
Why: ‘तरी’ हा शब्द दोन पर्याय (पुढे किंवा मागे) जोडतो. म्हणून तो उभयान्वयी अव्यय आहे.
136.भाषाशास्त्रीय क्षमता विद्यार्थ्यांना कशाप्रकारे मदत करते?
- (1) व्याकरणदृष्ट्या बरोबर किंवा चूक वाक्यरचना ओळखण्यात
- (2) व्याकरणदृष्ट्या सदोष असूनही ओघवते बोलण्यात
- (3) भाषेचा योग्य वापर केव्हा आणि कसा करायचा ते जाणण्यास
- (4) इंग्रजीचा अधिकाधिक वापर करण्यास
Why: CBSE ने (1) आणि (3) हे दोन पर्याय बरोबर मानले (की B). भाषाशास्त्रीय क्षमता म्हणजे भाषेच्या व्याकरणाचे ज्ञान. त्यामुळे बरोबर आणि चूक वाक्ये ओळखता येतात. भाषेचा योग्य वापर हा पर्यायही स्वीकारला गेला.
137.प्राथमिक पातळीवर शिक्षक साधारणपणे विद्यार्थ्यांना रंग भरण्यास रेखांकन करण्यास प्रवृत्त करतात. याचा कोणता लाभ होतो?
- (1) वर्गात शांतता राहण्यासाठी विद्यार्थ्यांना गुंतवून ठेवण्यात.
- (2) उत्तम गतिबोधन क्षमता विकसित होते.
- (3) विद्यार्थ्यांचे मनोरंजन.
- (4) शिक्षकांना अध्यापनातून विश्रांती.
Why: रंग भरणे आणि रेखांकन यात हाताच्या व बोटांच्या लहान स्नायूंचा वापर होतो. त्यामुळे सूक्ष्म गतिबोधन (fine motor) क्षमता विकसित होते. याचा पुढे लेखनाला उपयोग होतो.
138.मुले उत्तम प्रकारे भाषा शिकतात जेव्हा __________.
- (1) त्यांचे शिक्षक ओघवते बोलतात
- (2) त्यांना उत्तम पाठ्यपुस्तक मिळते
- (3) त्यांना मोकळेपणा वाटत नाही
- (4) त्यांना प्रेरणा मिळते
Why: मुलांना शिकण्याची इच्छा असेल तर ती भाषा उत्तम शिकतात. प्रेरणा हे मुख्य कारण आहे.
139.शिक्षिका वर्गात सामूहिक चर्चा आणि सवंगड्यासोबत चर्चा याचे वर्गात आयोजन करते. ती उच्चारण आणि स्पेलिंग याकडे फारसे लक्ष देत नाही. ती कोणत्या पद्धतीचा अवलंब करते?
- (1) पारंपारिक (Traditional)
- (2) ऐच्छिक (Eclectic)
- (3) संरचनात्मक (Structural)
- (4) रचनात्मक (Constructivist)
Why: सामूहिक चर्चा आणि सवंगड्यांशी संवाद यातून मुले स्वतः भाषा घडवतात. प्रत्येक चुकीवर न अडवणे हे रचनात्मक पद्धतीचे वैशिष्ट्य आहे.
140.शिक्षक या नात्याने तुमच्या लक्षात येते की पाठातली भाषा ही विद्यार्थ्यांसाठी कठिण आहे. तुम्ही भाषा सोपी करता आणि तुमच्या विद्यार्थ्यांच्या अनुरूप आशयात बदल करता. तुमची ही कृती म्हणजे __________.
- (1) अंगीकारणे (Adopting)
- (2) माध्यमांतर (Adaptation)
- (3) मूल्यमापन
- (4) परीक्षण
Why: विद्यार्थ्यांनुसार पाठाची भाषा आणि आशय बदलणे म्हणजे अनुकूलन (Adaptation).
141.शाळेत जाणार असल्यामुळे राजू आज खूप खुश आहे. कुटुंबातील तो शाळेत जाणारा पहिला आहे. त्याच्या कुटुंबातील कोणीही, अगदी आई-वडील सुद्धा, कधीही शाळेत गेले नव्हते. राजू हा कोणत्या प्रकारचा विद्यार्थी आहे?
- (1) पहिल्या पिढीचा
- (2) दुसऱ्या पिढीचा
- (3) परिघाबाहरेचा
- (4) अल्पसंख्यांक
Why: राजू आपल्या कुटुंबात शाळेत जाणारा पहिलाच आहे. अशा विद्यार्थ्याला पहिल्या पिढीचा विद्यार्थी म्हणतात.
142.शिकवत असताना तुमच्या लक्षात येते की पाठ्यपुस्तकात सुरुवातीला गाणी आणि चित्रकथा आणि शेवटी मुळाक्षरे आहेत. भाषा शिक्षणात या प्रकारच्या व्यवस्थेचा पुरस्कार कोणती पद्धती करते?
- (1) ऊर्ध्वगामी (Bottom up approach)
- (2) अधोगामी (Top down approach)
- (3) निवड पद्धती (Eclectic approach)
- (4) कलात्मक (Aesthetic approach)
Why: पाठ्यपुस्तक संपूर्ण मजकुराने (गाणी, चित्रकथा) सुरू होते आणि मुळाक्षरांनी संपते. संपूर्णाकडून भागाकडे जाणे ही अधोगामी (Top down) पद्धत आहे.
143.जेव्हा भाषा कोणत्याही पद्धतशीर सरावाशिवाय नैसर्गिकपणे शिकली जाते, तेव्हा तिला __________ म्हणतात.
- (1) पांडित्य (Erudition)
- (2) आत्मसात करणे
- (3) स्वीकार्यता
- (4) शिकणे
Why: पद्धतशीर सरावाशिवाय नैसर्गिकपणे भाषा शिकणे म्हणजे भाषा आत्मसात करणे.
144.‘विद्यार्थ्यांनी प्रश्न सामूहिकपणे सोडवावे, जोडीने किंवा गटातूनब हे कोणत्या पद्धतीचे महत्त्वाचे वैशिष्ट्य आहे?
- (1) संभाषणात्मक भाषा अध्यापन
- (2) वर्तनवादी पद्धती
- (3) समग्रभाषा पद्धती
- (4) संरचनात्मक पद्धती
Why: संभाषणात्मक भाषा अध्यापनात विद्यार्थी जोडीने किंवा गटात काम करतात. ते भाषेचा वापर करत एकत्र कृती पूर्ण करतात.
145.‘प्रदूषणब या विषयावर अभ्यास ठरवताना तुम्ही कोणती गोष्ट सर्वात अगोदर करायला पाहिजे?
- (1) परिचयात्मक प्रश्न तयार करणे
- (2) विषयाचे वारंवार वाचन करणे
- (3) अध्यापन सामग्रीची निवड
- (4) वस्तुनिष्ठ प्रश्नांची रचना
Why: पाठ नियोजनाची पहिली पायरी म्हणजे उद्दिष्टे ठरवणे. उत्तरसूचीने पर्याय (4) बरोबर मानला आहे.
146.शिक्षिका विद्यार्थ्यांना ‘पाणीब या विषयावर परिच्छेद लिहायला सांगते. विद्यार्थी ते विज्ञान आणि समाजविज्ञानाच्या वर्गात काय शिकले. यावर चर्चा करतात आणि नंतर परिच्छेद लिहायला सुरुवात करतात. हे कशाचे उदाहरण आहे?
- (1) वापरातील भाषा
- (2) विज्ञानाची भाषा
- (3) अभ्यासक्रमापलिकडे जाणारी भाषा
- (4) संज्ञापनात्मक पद्धती
Why: विद्यार्थी भाषेच्या वर्गात विज्ञान आणि समाजविज्ञानातील माहिती वापरतात. हे अभ्यासक्रमभर भाषा (Language across curriculum) चे उदाहरण आहे.
147.तुमचा जन्म आणि वाढ अशा गावात होते जिथे सगळी माणसे हिंदी बोलतात. तुम्हीही कुठल्याही शाळेत न जाता ती भाषा वापरू लागता. नंतर जेंव्हा तुम्ही शाळेत जाता, तेव्हा तुम्ही इंग्रजी, संस्कृत, हिंदी आणि उर्दू शिकता. आता तुम्ही धाराप्रवाह इंग्रजी बोलता. तुमची पहिली भाषा कोणती?
- (1) इंग्रजी
- (2) हिंदी
- (3) उर्दू
- (4) संस्कृत
Why: मूल शाळेत न जाता घरी आणि परिसरात जी भाषा प्रथम शिकते, ती त्याची पहिली भाषा असते. येथे ती हिंदी आहे.
148.शिक्षिका वर्गात वास्तव जीवनातील, छत्री, रेनकोट, स्क्रू ड्रायवर सारख्या वस्तू आणते. ती मुलांना दोन तीन वाक्यांत वस्तूंचे वर्णन करण्यास सांगते. तिने वर्गात आणलेल्या वस्तूंना तांत्रिक दृष्ट्या काय म्हणता येईल?
- (1) भाषा आदान
- (2) शैक्षणिक साधने
- (3) यंत्र
- (4) रेलिया (Realia)
Why: शिकवण्यासाठी वर्गात आणलेल्या खऱ्या वस्तूंना रेलिया (Realia) म्हणतात.
149.वर्गात ‘काळब ही संकल्पना शिकविण्यासाठी तुम्ही एकाच माणसाचा एक 15 वर्षांपूर्वी काढलेला आणि एक नुकताच काढलेला फोटो वापरता. तुम्ही चर्चेला सुरुवात करून त्याचे आत्ताचे नि मागचे दिसणे, त्याच्या सवयी यावर बोलता. तुम्ही __________ याचा वापर करता.
- (1) निर्देशित व्याकरण (Prescriptive)
- (2) संरचनात्मक व्याकरण (Structural)
- (3) शिक्षणशास्त्रीय व्याकरण (Pedagogical)
- (4) नियमाधारित व्याकरण (Rule Based)
Why: चित्रे आणि चर्चा यांच्या मदतीने संदर्भातून काळ शिकवणे म्हणजे शिक्षणशास्त्रीय व्याकरण. ते फक्त नियमांची यादी नसते.
150.विशिष्ट इयत्ता किंवा अभ्यासक्रमाच्या शेवटी विद्यार्थ्यांने आत्मसात करावयास पाहिजेत असे ज्ञान, कौशल्य आणि वर्तन यांचे वर्णन असलेला अहवाल म्हणजे __________.
- (1) अध्यापन फलित
- (2) अध्ययन फलित
- (3) अंकसाक्षरता फलित
- (4) मूलभूत साक्षरता फलित
Why: अध्ययन फलित म्हणजे इयत्ता किंवा अभ्यासक्रमाच्या शेवटी विद्यार्थ्यांनी मिळवायचे ज्ञान, कौशल्ये आणि वर्तन यांचे वर्णन.
Answer Key
As published by CBSE. Question number, then the correct option. Parts IV and V follow the English and Marathi papers.
1 · 2
2 · 2
3 · 4
4 · 2
5 · 2
6 · 2
7 · 1
8 · 1
9 · 2
10 · 2
11 · 4
12 · 1
13 · 2
14 · 3
15 · 4
16 · 1
17 · 1
18 · 1
19 · 1
20 · 3
21 · 4
22 · 1
23 · 2
24 · 3
25 · 4
26 · 1
27 · 1
28 · 2
29 · 4
30 · 4
31 · 1
32 · 2
33 · 3
34 · 2
35 · 4
36 · 2
37 · 1
38 · 4
39 · 1
40 · 1
41 · 3
42 · 1
43 · 4
44 · 3
45 · 3
46 · 4
47 · 2
48 · 3
49 · 2
50 · 3
51 · 3
52 · 4
53 · 1
54 · 4
55 · 1
56 · 1
57 · 2
58 · 1
59 · 4
60 · 1
61 · 3
62 · 3
63 · 3
64 · 4
65 · 2
66 · 3
67 · 1
68 · 4
69 · 3
70 · 3
71 · 4
72 · 2
73 · 1
74 · 2
75 · 3
76 · 4
77 · 1
78 · 4
79 · 4
80 · 3
81 · 2
82 · 4
83 · 2
84 · 1
85 · 2
86 · 3
87 · 3
88 · 1
89 · 2
90 · 1
91 · 4
92 · 1
93 · 2
94 · 3
95 · 3
96 · 2
97 · 3
98 · 2
99 · 4
100 · 3
101 · 1
102 · 3
103 · 2
104 · 1
105 · 1
106 · 1
107 · 2
108 · 1
109 · 2
110 · 2
111 · 3
112 · 2
113 · 3
114 · 3
115 · 2
116 · 4
117 · 1
118 · 4
119 · 4
120 · 4
121 · 4
122 · 3
123 · 1
124 · 4
125 · 1
126 · 2
127 · 2
128 · 4
129 · 2
130 · 1
131 · 3
132 · 4
133 · 1
134 · 2
135 · 3
136 · 1
137 · 2
138 · 4
139 · 4
140 · 2
141 · 1
142 · 2
143 · 2
144 · 1
145 · 4
146 · 3
147 · 2
148 · 4
149 · 3
150 · 2
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