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

### Part II: Mathematics and Science

Q31. Which of the following fraction is greater than ½ and less than ¾?

(a) 31/40

(b) 9/20

(c) 4/5

(d) 7/10

Q32. Which one of the numbers –20, –¾, ½, 10 is greater than its square?

(a) 1/2

(b) –¾

(c) 10

(d) –20

Q33. 3 × 10^{5} + 4 × 10^{3} + 7 × 10^{2} + 5 is equal to

(a) 3004705

(b) 3475 × 10^{10}

(c) 304705

(d) 347500

[ Read More: Mathematics and Pedagogy MCQ Questions with Answer ]

Q34. The sum of two numbers is 32. If one of them is –36, then the other number is

(a) –4

(b) 4

(c) –68

(d) 68

Q35. In 2010, the population of a city is 30.3 million. This number is same as

(a) 30300000

(b) 303000000

(c) 3030000

(d) 30030000

Q36. If a^{3} =1+7, 3^{3} =1+7+ b, 4^{3} = 1+ 7+c, then the value of a + b + c is

(a) 58

(b) 77

(c) 75

(d) 110

Q37. 2^{10} – 1 is divisible by

(a) 2

(b) 3

(c) 4

(d) 10

Q38. The sum of HCF and LCM of 4, 20 and 28 is

(a) 136

(b) 144

(c) 74

(d) 140

Q39. Express 0.33 ÷ 0.11 in percentage.

(a) 1/3

(b) 1/300

(c) 30

(d) 300

Q40. The sum of mean and median of numbers 5.02, 5.18, 5.12, 5.007 and 5.018 is

(a) 10.089

(b) 10.73

(c) 10.89

(d) 10.7

Q41. Two squares have sides x cm and (2x + 1) cm. The sum of their perimeters is 100 cm. Area (in cm^{2}) of the bigger square is

(a) 81

(b) 289

(c) 64

(d) 225

Q42. The number of lines of symmetry of the figure is

(a) 1

(b) 3

(c) 4

(d) 6

Q43. If the circumference of a circle is 3 cm, then its area (in cm^{2} ) is

(a) 9/4π

(b) 4/9π

(c) 4π/9

(d) 9 π /4

Q44. The area of a rectangle is A cm2 and length is *l* cm. Its perimeter (in cm) is

(a) 2* l* + 2A

(b) 2* l* + $\frac{A}{2l}$

(c) 2* l* + $\frac{A}{l}$

(d) 2* l* + $\frac{2A}{l}$

Q45. A car goes one kilometer at 30 km per hour and then goes another kilometer at 40 km per hour. The average speed (in km/hour) of the car for 2 km is

(a) 35

(b) $34\frac{2}{7}$

(c) $33\frac{3}{7}$

(d) $33\frac{5}{7}$

Q46. A cube has a volume 125 cm^{3}, Area of its one face is

(a) 5 cm^{2}

(b) 25 cm^{2}

(c) 20 cm^{2}

(d) 30 cm^{2}

Q47. In the figure, ABC is a triangle. Measure of ABD, in degrees, is

(a) 57

(b) 47

(c) 61

(d) 80

Q48. A PQR and A TQR are on the same base QR and on the same side of QR. If PQ = TR and PR = TQ, then which of the following is correct?

(a) ∆ PQR ≅ ∆ TQR

(b) ∆ PQR ≅ ∆ TRQ

(c) ∆ PQR ≅ ∆ RQT

(d) ∆ PQR ≅ ∆ QTR

Q49. A factor common to x^{2} + 7x+ 10 and x^{2} – 3x – 10 is

(a) x – 5

(b) x + 2

(c) x + 5

(d) x – 2

Q50. The sum of two positive numbers is 63. If one number x is double the other, then the equation is

$

\left( a \right) \,\,\frac{x}{x-3}=2

\\

\left( b \right) \,\,\frac{x-63}{x}=2

\\

\left( c \right) \,\,\frac{63-x}{x}=2

\\

\left( d \right) \,\,\frac{x}{63-x}=2

$

Q51. In Class VII, a teacher taught the ‘properties of all types of quadrilaterals’. In the class test that followed after the unit, the teacher asked the problems on the construction of quadrilateral. No one in the class was able to perform in the test. The reason maybe

(a) all students in the class are dull

(b) there is a gap between instructions given in class and the assessment conducted

(c) the teacher is not able to create the interest of the students in this unit

(d) the students were not serious about the class test and had not prepared well

Q52. “How does a square form a parallelogram? Explain.” The students are asked to write the answer to the above question. The objective of the teacher is

(a) giving an opportunity for students to think and reflect

(b) making the classroom more interactive

(c) exposing the students to open-ended questions

(d) improving the writing skills of the students

Q53. It is observed that to a problem like ‘show that the sum of any two odd numbers is an even number, most of the students replied by quoting one example, say, 5 + 7 =12.

Students answered this question inappropriately as

(a) students firmly believe that if a statement is true for one set of numbers, it is always true and hence have developed a strong strategy for making generalizations

(b) students have not learned the logical proof for the statement in the class

(c) students have not understood that in mathematics any’ is used to indicate generalizations and hence are not able to answer correctly

(d) students have attained the formal operational stage as proposed by Piaget

Q54. Portfolio of mathematics students can have

(a) record of his photographs, drawing, and artwork

(b) record of classwork and homework notebooks

(c) record of assignments, worksheets, math’s lab activity record, write-up of any mathematics model, mathematical posters and cards, any new type of problem attempted or generalizations made, etc.

(d) record of all class tests, unit tests conducted during the formative and summative assessment

Q55. A lesson plan on a unit of ‘Mensuration’ includes one of the instructional objectives as follows:

“Learners will be able to understand the application of mathematics.”

This instructional objective is

(a) appropriate, as all units of mathematics aim at this only

(b) appropriate, as a unit on “Mensuration’ has lots of application in day-to-day life

(c) appropriate, as one must be able to apply the knowledge gained

(d) inappropriate, as the objective is vague and ill-defined

Q56. The present NCERT textbooks on mathematics are written keeping in mind the recommendations of

(a) National Curriculum Framework 2005

(b) National Policy on Education 1986

(c) The syllabus prescribed by CBSE in 2006

(d) The syllabus prescribed by State Board in 2006

Q57. Read the following question:

Which cognitive skill of Bloom’s Taxonomy is emphasized in this question?

(a) Knowledge

(b) Comprehension

(c) Application

(d) Analysis

Q58. A teacher asked his/her students to complete the following concept map:

With this activity in class, the teacher is using a concept map to

(a) catch the attention of each student

(b) provide different kinds of learning material

(c) conduct formative assessment and to get insight on how much students have learned

(d) enhance the spatial ability of the learner so that she/he can see the complete unit as a whole

Q59. “The organizers of an essay competition decide that a winner gets a prize of il00 and a participant who does not win gets a prize of 25. The total prize money distributed is R3,000. Find the number of winners, if the total number of participants is 63.”

Apart from checking the mathematical concept, what values can a teacher inculcate through this question amongst students, during the discussions?

(a) Winning is more important than participation.

(b) Participation is more important.

(c) Competency of writing a good essay is important

(d) Writing of thoughts on social Issues can be developed as a regular habit and the opportunities to make your thoughts public can be availed through participation in an essay competition.

- Identify the open-ended problem.

(a) Find the cube of 10.

(b) Write any 5 numbers whose cube is more than 64.

(c) Parikshit makes a cuboid of dimension5 cm, 2 cm, and 5 cm. How many such cuboids are required to form a cube?

(d) Find the cube root of 512 using the prime factorization method.

Directions (Q. 61-90: Answer the following questions by selecting the most appropriate option.

Q61. Which of the following is a heterogeneous mixture?

(a) Air-filled in a balloon

(b) Brass

(c) Stainless steel

(d) Iodized table salt

Q62. A magnet is rolled in a mixture of iron filings and sulfur powder. It is observed that

(a) iron filings get attracted to the N-pole and sulfur

to the S-pole of the magnet

(b) iron filings get attracted to the S-pole and sulfur to the N-pole of the magnet

(c) only the iron filings get attracted equally to both poles of the magnet

(d) iron filings get attracted to both poles and sulfur clings in the middle of the magnet

Q63. If you are asked to project the image of a well-lit painting on the wall, which one of the following optical devices would you select for this purpose?

(a) Plane mirror

(b) Concave lens

(c) Convex mirror

(d) Convex lens

Q64. In the following table, the readings of an odometer at different times of a Journey are given:

Time (a.m.) | Odometer Reading (km) |

8.00 | 6640 |

8.30 | 6658 |

9.00 | 6676 |

9.30 | 6694 |

10.00 | 6712 |

The speed of the vehicle in meters per second is

(a) 10

(b) 20

(c) 18

(d) 36

Q65. An object of mass 5 kg is sliding on a smooth frictionless horizontal surface with a constant velocity of 10 meters per second. The force required to keep the object moving with the same velocity Is

(a) 0 Newton

(b) 250 Newton

(c) 50 Newton

(d) 500 Newton

Q66. Select the correct sequence of parts in the human

(a) mouth → esophagus → stomach → small intestine → large intestine

(b) Mouth → stomach → esophagus → small intestine → large intestine

(c) Mouth → esophagus → stomach → large intestine → small intestine

(d) Mouth → stomach → esophagus →large intestine → small intestine

Q67. After the physical exercise, we sometimes get muscle alimentary canal. cramps. This result is due to

(a) non-conversion of glucose to lactic acid

(b) conversion of pyruvate to lactic acid

(c) conversion of pyruvate to alcohol

(d) non-conversion of glucose to pyruvate

Q68. Select from the following a set having a correct combination of organs that do not carry out any digestive function.

(a) Oesophagus, buccal cavity, rectum

(b) Oesophagus, large intestine, rectum

(c) Oesophagus, buccal cavity, large intestine

(d) The small intestine, large intestine, rectum

Q69. The part of the alimentary canal which receives bile juice from the liver and stores it in the gall bladder is

(a) stomach

(b) small intestine

(c) esophagus

(d) pancreas

Q70. The correct sequence of the complex processes involved in the digestion of food is

(a) ingestion → absorption → digestion → assimilation → egestion

(b) ingestion → digestion → absorption → assimilation → egestion

(c) ingestion → digestion → assimilation → absorption → egestion

(d) ingestion → assimilation → absorption → digestion → egestion

[ Read More: Science and Pedagogy MCQ Questions with Answer ]

Q71. Study the following statements about villi:

(A) They are finger-like projections.

(B) They have very thin walls.

(C) They have small pores through which food can pass easily.

(D) They have a network of thin and small blood vessels close to the surface.

The statements which enable the villi to absorb digested food are

(a) A, B and C

(b) B, C and D

(c) A, C and D

(d) A, B and D

Q72. Which of the following statements are true about photosynthesis?

(A) in this process, solar energy is converted into chemical energy.

(8) In photosynthesis, CO_{2} and H_{2}O are used.

(C) In photosynthesis, CO_{2} is released and O_{2} is consumed.

(D) In photosynthesis, O2 is released and carbon monoxide is consumed.

(a) A and B

(c) C and D

(b) B and C

(d) A and D

Q73. Before playing a sitar, a satirist always adjusts the tension of the string of the sitar and tries to pluck it Suitably. By doing so the satirist adjusts the

(a) loudness of sound produced by sitar string

(b) amplitude of vibration

(c) intensity of sound

(d) pitch of the sound of string or sitar

Q74. Porters who carry heavy luggage always have a long piece of cloth with them. Before carrying the load on their heads, they fold the cloth in the shape of a round disc and place it on their heads. By doing this they

(a) increase the area of contact of the load of luggage with their head

(b) decrease the force exerted by the load of luggage on the head

(c) decrease the thrust of the luggage

(d) save their heads from possible injury

Q75. A successful strategy is essential for the conservation of forests. This strategy should involve

(a) comprehensive programme for the protection of all the physical and biological components of forests

(b) protection of herbivores

(c) protection of consumers

(d) protection of animals at the highest tropic level, i.e. top Carnivores, as they depend directly on herbivores

Q76. Some dinosaurs had feathers although they could not fly, but birds have feathers that help them to fly. In the context of evolution, this means that

(a) reptiles have evolved from the birds

(b) birds have evolved from reptiles

(c) there is no evolutionary connection between reptiles and birds

(d) feathers are homologous structure in both the organisms

Q77. Geothermal energy is an alternative source of energy. For this energy, the most feasible regions are those that

(a) are near the coastal regions

(b) have coal mines

(c) have thermal power plants

(d) are over hot spots in the crust

Q78. Select from the following a set of three metals that are found in free state:

(a) Aluminum, copper, Silver

(b) Gold, Iron, Silver

(c) Copper, Gold, Iron

(d) Silver, Gold, Platinum

Q79. Select from the following the reaction(s) that is/are possible:

(A) Al_{2}(SO_{4})_{3} (aq) + Cu(s) →

(B) FeSO_{4} (aq) + Zn(s) →

(C) CuSO_{4} (aq) + Fe(s) →

(D) Ala(SO_{4})_{3} (aq) + Zn(s) →

(a) A and B

(b) A and D

(c) A Only

(d) B and C

Q80. The crop nutrients available in fertilizers are

(a) nitrogen, potassium and iron

(b) nitrogen, phosphorus and potassium

(c) nitrogen, phosphorus and iron

(d) nitrogen, sodium and potassium

Q81. Out of the following, in which lesson, as a general rule, is explained first and after that examples are illustrated?

(a) Deductive lesson

(b) Inductive lesson

(c) Cognitive lesson

(d) Skill lesson

Q82. Which one of the following is most appropriate for curriculum planning in science?

(a) It is done to map the scientific topics studied in each term

(b) It is done to combine the scientific study with work in other subject areas

(c) It gives details of each unit of work for each term

(d) It is done to plan the specific learning objectives of each lesson to build upon prior learning

Q83. A tightly structured lesson of Physics taught with little flexibility, is least conducive to the learning of the student who

(a) is hyperactive

(b) is culturally disadvantaged

(c) has an IQ of 85

(d) has an IQ of 125

Q84. Lesson planning in Life Science should be guided primarily by the consideration of

(a) meeting the needs of the average child in the class

(b) satisfying parents

(c) framing curriculum goals and learning outcomes

(d) providing pupils with work

Q85. When upper-grade children do research work, the major problem the teacher has to contend with is

(a) finding appropriate materials

(b) scheduling the co-operation of the public library on internet

(c) gaining the co-operation of the public library

(d) discouraging children from copying verbatim from books and encyclopedias and guiding them effectively

Q86. The project method of teaching is best associated with the philosophy of

(a) Max Rafferty

(b) Robert Hutchins

(c) John Dewey

(d) B. F. Sinner

Q87. A teacher is conducting a demonstration to motivate students, but the demonstration does not result in the expected outcome. The teacher is best advised to

(a) withhold the demonstration and do it again

(b) tell the class that the demonstration failed and ask them to help/determine the reason demonstration by involving students him/her to come to the room

(c) find out and explain the cause of failure of the

(d) send a note to the science coordinator, asking

Q88. Which of the following techniques is not recommended for the Science teachers to use in response to the complexity of learning?

(a) While introducing a complex concept, ask only open-ended questions to stimulate thinking of students

(b) Take a pre-test to find out previous knowledge of students

(c) Use manipulative materials for explaining the subtle processes

(d) Plan the level of instruction slightly above the level of individual students but well within the level of the class

Q89. In a mixed ability class with students in different stages of cognitive development, which of the following strategies will be most suitable?

(a) Using hands-on activities involving concrete objects for simplification of abstract concepts

(b) Regrouping the class into four groups as per the four stages of cognitive development proposed by Piaget

(c) Planning individual instruction for gifted students

(d) Taking an average of the 1Q scores of students and planning teaching accordingly

Q90. Of the following activities in a Science class, the one with the least educational value is

(a) constructing a model

(b) reading about a simple experiment

(c) discussing a scientific principle

(d) drawing a design