**Candidate have to do questions number 31 to 90 either from Part-II ( Mathematics and Science ) of from Part-III ( Social Studies/ Social Science)**

### Section-II: Mathematics and Science

Directions: (Q. 31-90) Answer the following questions by selecting the most appropriate option.

Q31. The number of integers less than –3 but greater than –8 is

(a) 2

(b) 3

(c) 4

(d) 6

Q32. The distance between two places is 12 km. A map scale is 1:25000. The distance between the two places on the map, in cm, is

(a) 24

(b) 48

(c) 36

(d) 60

Q33. The reciprocal of $\frac{-3}{7}\times \left( \frac{-7}{13} \right)$ is

(a) 104/21

(c) 21/104

(b) –104/21

(d) –21/104

Q34. The number of vertices in a polyhedron that has 30 edges and 12 faces is

(a) 12

(b) 20

(c) 15

(d) 24

Q35. When half of a number is increased by 15, the result is 39. The sum of digits of the original number is

(a) 6

(c) 9

(b) 7

(d) 12

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Q36. In ΔPQT, PQ = PT. The points R and S are on QT such that PR PS. If ∠PTS = 62° and ∠RPS = 34°, then find the measure of ∠QPR.

(a) 11°

(c) 15°

(b) 13°

(d) 17°

Q37. If for ΔABC and ΔDEF, the correspondence CAB ↔ EDF gives a congruence, then which of the following is not true?

(a) AC = DE

(b) ∠A = ∠D

(c) AB = EF

(d) ∠B = ∠F

Q38. 40% of (100 20% of 300) is equal to

(a) 16

(c) 64

(b) 20

(d) 140

Q39. HCF of two numbers is 28 and their LCM is 336. If one number is 112, then the other number is

(a) 56

(b) 84

(c) 70

(d) 98

Q40. If $\frac{2}{3}$x=0.6 and 0.02y =1, then the value of x +y^{–1} is

(a) 0.92

(b) 49.1

(c) 1.1

(d) 50.9

Q41. If $y=\frac{x-2}{x+1}$where y ≠ , then x equals

(a) $\,\,\frac{y+2}{1-y}$

(b) $\frac{y+2}{y-1}$

(c) $\frac{y-2}{y+1}$

(d) $\frac{2-y}{1-y}$

Q42. A square and a circle have equal perimeters. The ratio of the area of the square to the area of the circle is

(a) 1 : 1

(c) π : 2

(b) 1 : 4

(d) π : 4

Q43. ABCD is a square with AB = (x +16) cm and BC = (3x). The perimeter (in cm) of the square is

(a) 16

(b) 24

(c) 32

(d) 96

Q44. The mean of 10 numbers is 0. If 72 and –12 are included in these numbers, the new mean will be

(a) 0

(b) 6

(c) 5

(d) 60

Q45. The circumference of the base of a right circular cylinder is 44 cm and its height is 15 cm. Find the volume (in cm^{3}) of the cylinder. (Use π = 22/7)

(a) 770

(c) 1540

(b) 1155

(d) 2310

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Q46. A Class VII teacher wants to discuss the following problem in the class:

“A square is divided into four congruent rectangles. The perimeter of each rectangle is 40 units. What is the perimeter of the given square?

Key mathematical concepts required to solve this problem are

(a) area of square and rectangle and perimeter, and definition of square and rectangle

(b) meaning of the terms square, rectangle, congruent, perimeter, etc.

(c) area of a rectangle, the perimeter of a square

(d) formation of the algebraic equation to solve the problem

Q47. Algebra is introduced in the middle classes. According to Piaget’s theory of cognitive development, it is appropriate to introduce algebra at this stage a

(a) the child is at sensory-motor stage and can understand with the help of lots of manipulative

(b) the child is at pre-operational stage and can understand abstract concepts

(c) the child is at the concrete-operational stage and can understand and conceptualize concrete experiences by creating logical structure

(d) the child is at formal operational stage and is fully mature to grasp the abstract concepts.

Q48. Mr. Sharma was assessing the students’ work on exponents. One of the response sheets was as follows:

(I) 23 x 25 = 28

(II) 32 x 42= (12)^{4}

(III) 33 ÷ 35 = 3^{–2}

(IV) 720 ÷ 714 = 7^{6}

(V) 93 ÷ 186 = (1/2)^{3}

On the basis of this response sheet,

Mr. Sharma can make the following observations:

(a) Child has understood the laws of exponents and can apply them well.

(b) Child has understood the laws of exponents but has made clerical errors.

(c) Child has understood the laws of exponents but has not practiced the questions involving division of two numbers.

(d) Child has understood the law of exponents for the cases where the base is same and has missed the concept for the case where the base is different.

Q49. According to Van Hiele levels of geometric thought, the five levels of geometric understanding are visualization, analysis, informal deduction, formal deduction and rigor. Students of class VIII are asked to classify the quadrilaterals according to their properties. These students are at …………. level of Van Hiele geometrical thought.

(a) visualization

(b) analysis

(c) informal deduction

(d) formal deduction

Q50. A task assigned to a class VIII student is as follows:

An open box is to be made out of a metallic sheet of 50 cm x 65 cm. Length and breadth of the box are 30 cm and 15 cm respectively. What is the possible height of the box? Also find the volume of this box. This task refers to

(a) lower level of cognitive demand as it requires the knowledge of formulae of volume of cuboids

(b) lower level of cognitive demand as there is no connection between concepts involved and procedure required

(c) higher level of cognitive demand as the problem can be solved by making diagrams and connections between many possible situations

(d) higher level of cognitive demand as it requires the use of conceptual understanding that underlines the procedure to complete the task

Q51. Mr. Nadeem gave the following task to his class, after completing the topic on lines and angles:

Speak for 2 minutes on the following figures using your knowledge about lines and angles:

This task is

(a) reflective in nature, can be used to pass time

(b) exploratory in nature, can be used for summative assessments

(c) reflective as well as can be used for formative assessment

(d) communicative and can encourage mathematical talk in the classroom during tree time

Q52. A child of class VII defined the rectangle as follows:

“Rectangle is a quadrilateral whose opposite sides are parallel and equal”

The definition reflects that the child

(a) cannot recognize the shape

(b) does not know the correct properties of the shape

(c) knows the properties of the shape, but repeated some properties in definition

(d) knows some properties, but missed some other important properties to complete the definition

Q53. A very common error observed in addition of linear expression is

5y +3 = 8y.

This type of error is termed as

(a) clerical error

(b) procedural error

(c) conceptual error

(d) careless error

Q54. Read the following question from class VI text-book:

“Prabal deposited Rs 5,000 in a bank at the rate of 5% interest per annum. After 2 years, he withdrew the money to purchase the study table for Rs 3,500. He deposited the money left with him again at the rate of 5% interest per annum for another two years. How much amount will he receive after two years?”

What values can be inculcated in students through this question?

(a) Honesty

(b) Habit of saving money and spending it wisely

(c) Sincerity

(d) Simplicity and helping others

Q55. Following is a problem from text-book of class V:

“Express the following statement through linear expression:

Neha has 7 more toffees than Megha. If Megha has x toffees, how many toffees does Neha have?” which competence of Bloom’s cognitive domain is referred to in the above question?

(a) Comprehension

(b) Synthesis

(c) Knowledge

(d) Analysis

Q56. If p = 3^{2000} + 3^{–2000} and q = 3^{2000} – 3^{–2000}, then the value of p^{2} – q^{2} is

(a) 1

(c) 3

(b) 2

(d) 4

Q57. The square of 9 is divided by the cube root of 125. The remainder is

(a) 1

(b) 2

(c) 3

(d) 4

Q58. The value of $\sqrt{16\sqrt{8\sqrt{4}}}$ is

(a) 16

(b) 8

(c) $8\sqrt[3]{2}$

(d) $16\sqrt{2}$

Q59. One-half of 1.2 x 10^{30} is

(a) 6.0 x 10^{30}

(b) 6.0x 10^{29}

(c) 0.6 x 5^{30}

(d) 1.2 x 10^{15}

Q60. 2/3, 23/30, 9/10, 11/15 and 4/5 are written in ascending order, then the fraction in the middle most will be

(a) 23/30

(b) 4/5

(c) 2/3

(d) 11/15

Q61. The steps required for the conversion of kitchen garbage into manure are given below in a jumbled form.

(A) Put the garbage in the pit.

(B) Cover the bottom of the pit with sand.

(C) Cover the pit loosely with grass or a gunny bag.

(D) Add worms.

The correct sequence of these steps is:

(a) (B), (A), (C), (D)

(b) (B), (C), (A), (D)

(c) (B), (A), (D), (C)

(d) (B), (D), (A), (C)

Q62. Two organisms are best friends and live together. One provides shelter, water and nutrients while the other prepares and provides food. Such an association of organisms is termed as

(a) autotrophy

(b) parasitism

(c) heterotrophy

(d) symbiosis

Q63. In the alimentary canal, the swallowed food moves downwards because of

(a) the contraction of muscles in the wall of food pipe

(b) the flow of fluid material taken with the food

(c) gravitational pull

(d) the force provided by the muscular tongue

Q64. Frogs and earthworms breathe through their skin because of which the skin of both the organisms is

(a) dry and rough

(b) dry and slimy

(c) moist and rough

(d) moist and slimy

Q65. While going for a picnic, a student noted the reading on the odometer on the bus every 10 minutes until the end of the journey. Later on, he recorded in a table shown below:

Time (AM) | Odometer Reading (km) |

8.00 | 78752 |

8.10 | 78758 |

8.20 | 78768 |

8.30 | 78780 |

8.40 | 78791 |

8.50 | 78800 |

9.00 | 78806 |

The average speed of the bus in the entire journey in meters per second was

(a) 15

(b) 18

(c) 30

(d) 54

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Q66. You are provided with a concave mirror, a concave lens, a convex mirror and a convex lens. To obtain an enlarged image of an object, you can use either

(a) concave lens or convex lens

(b) concave mirror or convex mirror

(c) concave mirror or concave lens

(d) concave mirror or convex lens

Q67. Select from the following a set of Kharif Crops:

(a) Cotton, paddy, pea, linseed

(b) Paddy, maize, cotton, soyabean

(c) Gram, mustard, groundnut, wheat

(d) Maize, paddy, linseed, soyabean

Q68. Study the following statements about the effects of weeds on the crop plants:

(A) They help crop plants to grow healthily.

(B) They interfere in harvesting

(C)They affect plant growth.

(D) They compete with crop plants for water, nutrients, space, and light.

The correct statements are:

(a) (C) and (D) only

(b) (D) only

(c) (B), (C) and (D)

(d) (A), (B) and (D)

Q69. When we add aluminum foil to freshly prepared sodium hydroxide solution gas is produced. Which of the following correctly states three properties of this gas?

(a) Colorless and odorless gas which extinguishes a burning match stick.

(b) Colorless and Odorless gas promotes the burning of a candle.

(c) Brown colored pungent-smelling gas.

(d) Colorless and odorless gas which produces a pop’ sound when a burning match stick Is brought near it

Q70. An aqueous solution of which of the following oxides will change the color of blue litmus to red?

(a) Copper oxide

(c) Magnesium oxide

(b) Iron oxide

(d) Sulfur dioxide

Q71. Which of the following is a pair of exhaustible natural resources?

(a) Coal and soil

(b) Petroleum and water

(c) Minerals and wildlife

(d) Natural gas and sunlight

Q72. Which of the following statements is true about endemic species?

(a) They are not affected by the destruction of their habitat.

(b) They are found only in zoos and botanical gardens.

(c) They are found exclusively in a specific habitat.

(d) Endemic species can never become endangered.

Q73. Which of the following pairs is related to the inheritance of characters?

(a) Chromosomes and genes

(b) Chromosomes and mitochondria

(c) Cell membrane and cell wall

(d) Cell membrane and chloroplast

Q74. Out of the different combinations of terms given below, the correct combination of terms with reference to an animal cell is

(a) Nucleus, plastid, cell membrane, cell wall

(b) Nucleus, chromosome, ribosome, cell wall

(c) The cell membrane, chromosome, ribosome, mitochondria

(d) The cell membrane, ribosome, chloroplast, mitochondria

Q75. Consider the following sets of reproductive terms

(A) Sperm, oviduct, egg, uterus

(B) Ovulation, egg, oviduct, uterus

(C) Sperm, testis, sperm duct, penis

(D) Menstruation, egg, oviduct, uterus

The sets of a correct combination are:

(a) (A), (B) and (C)

(b) (B), (C) and (D)

(c) (C), (D) and (A)

(d) (A), (B) and (D)

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Q76. Which of the following elements must be available in the water for the metamorphosis of tadpoles?

(a) Chlorine

(b) Bromine

(c) Sulfur

(d) Iodine

Q77. Which one of the following is not the objective of teaching of Science at upper primary stage?

(a) Developing questioning and enquiring skills

(b) Acquiring technological sills

(c) Acquiring process skills

(d) Acquiring scientific literacy

Q78. National Curriculum Framework (NCF) strongly recommends that Science education at upper primary stage should

(a) prepare students for competitive examinations

(b) help students to be emotionally balanced

(c) help students to acquire computational skills

(d) follow constructivistic approach for teaching and learning of the subject

Q79. “Cognitive validity of Science curriculum at upper primary stage requires that it should

(a) be age appropriate and within the reach of students understanding level

(b) convey scientifically correct content

(c) nurture the natural curiosity and creativity of the learners

(d) enable the students to appreciate how the concepts of Science evolve with time

Q80. Which of the following does not reflect the personality attribute of a person having scientific temper?

(a) Seeking evidence

(b) Biased opinion

(c) Rational thinking

(d) Open mindedness

Q81. NCERT Science textbooks for upper primary classes include large number of daily life related questions that have been left unanswered. This has been done that

(a) teachers have a good p0ol of questions for assessment purpose

(b) students can send these questions to scientists to get the answer

(c) teachers can use these questions for home assignment

(d) students can seek answer to these questions by exploring different resources

Q82. While teaching the correct method of reading a clinical thermometer to class VIII students, Neha mentions the following necessary precautions to be taken:

Which one of the below precautions has been mentioned wrongly by the teacher?

(a) Thermometer should be washed with hot water before and after use.

(b) Do not hold the thermometer by the bulb while taking the reading.

(c) Ensure that before use, the mercury level in the thermometer is below 35 C.

(d) Read the thermometer keeping the level of mercury along the line of sight

Q83. The section on ‘activities and projects’ included in the exercises of NCERT. Science textbooks for class VI primarily aims at

(a) enhancing in depth understanding of the basic concepts

(b) keeping the students engaged during vacations

(c) assessing the students on practical skills

(d) providing opportunity to students for extended learning

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Q84. Major objective of organizing Science Exhibitions is

(a) grade students on practical skills

(b) provide opportunity to students to compete with others

(c) provide opportunity to students to showcase their creative ideas

(d) provide opportunity to students to enhance their academic performance

Q85. Four candidates appearing in an interview for the post of science teacher were asked to give a demonstration lesson to class VIII students on the topic Pressure exerted by liquids and gases. Following different approaches were followed by different candidates

(a) Detailed explanation of related concepts with the help of diagram on the blackboard

(b) Use of charts for explanation of different concepts

(c) Organization of hands-on student activities followed by discussions

(d) Greater focus on classroom questions during the lecture

Which one of the above approaches will be most effective for teaching of the topic?

Q86. The technique of ‘classroom questioning’ in teaching of Science can be more effectively used for

(a) ensuring levels of learning

(b) developing problem solving skills

(c) maintaining discipline in the class

(d) promoting creativity and innovativeness

Q87. Given below are the steps to test the presence of proteins in a food item. These steps are not in correct sequence.

(A) Take a small quantity of food item in a test tube, add 10 drops of water to it and shake it.

(B) Make the paste or powder of the food to be tested.

(C) Add 10 drops of caustic soda solution to the test tube and shake well.

(D) Add 2 drops of copper sulfate to it.

The correct sequence of these steps is

(a) (A), (B), (D), (C)

(b) (8), (A), (D), (C)

(c) (B), (A), (C), (D)

(d) (D), (B), (A), (C)

Q88. Which of the following terms constitute the female part of a flower?

(a) Stigma, ovary and stamen

(b) Stigma, ovary and style

(c) Stamen, ovary and style

(d) Stamen, petals and sepals

Q89. How many muscles work together to move a bone?

(a) Two

(b) Four

(c) Six

(d) Number is not fixed.

Q90. Choose the set that represents only the biotic component of a habitat.

(a) Sand, turtle, crab, rocks

(b) Insects, frog, fish, aquatic plants

(c) Tiger, deer, grass, soil

(d) Insects, water, aquatic plants, fish