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Bihar Upper Primary Teacher 2023: TRE 2.0, Class 6 to 8, Mathematics and Science

  • Date: 9 December 2023
  • Paper code: 27/2023
  • Series: A
  • Language: Bilingual
  • 48 pages
Bihar Upper Primary Teacher 2023 question paper, TRE 2.0, Class 6 to 8, Mathematics and Science, page 1 of 48
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22/MIV/M–2023–05                                                               Booklet Series
                                         Candidate’s Roll Number

                                                                                   A            Serial No.
                                              Question Booklet

                        LANGUAGE, GENERAL STUDIES AND
                           MATHEMATICS AND SCIENCE
 Time Allowed : 2:30 Hours                                                       Maximum Marks : 150

Read the following instructions carefully before you begin to answer the questions.

                                     IMPORTANT INSTRUCTIONS
  1. This Question Booklet is divided into three Parts—Part–I, Part–II and Part–III. Part–I contains
     questions of Language (Qualifying), Part–II contains questions of General Studies and Part–III
     contains questions of Mathematics and Science.
  2. Part–I consists of Question Nos. 1 to 30, Part–II consists of Question Nos. 31 to 70 and Part–III
     consists of Question Nos. 71 to 150. The questions and their responses are printed in English and
     Hindi versions both of Part–II and Part–III.
  3. All questions carry equal marks.
  4. Immediately after commencement of the examination, you should check up your Question
     Booklet and ensure that the Question Booklet Series is printed on the top right-hand corner
     of the Booklet. Please check that the Booklet contains 48 printed pages including two pages
     (Page Nos. 46 and 47) for Rough Work and no page or question is missing or unprinted or
     torn or repeated. If you find any defect in this Booklet, get it replaced immediately by a
     complete Booklet of the same series.
  5. You must write your Roll Number in the space provided on the top of this page. Do not write
     anything else on the Question Booklet.
  6. An Answer Sheet will be supplied to you separately by the Invigilator to mark the answers. You
     must write your Name and other particulars in the space provided on Page–1 of the Answer
     Sheet provided, failing which your Answer Sheet will not be evaluated.
  7. You should encode your Roll Number and the Question Booklet Series A, B, C or D as it is
     printed on the top right-hand corner of the Question Booklet with Black/Blue ink ballpoint pen in
     the space provided on Page–2 of your Answer Sheet. If you do not encode or fail to encode the
     correct series of your Question Booklet, your Answer Sheet will not be evaluated correctly.
  8. Each question comprises of five responses—(A), (B), (C), (D) and (E). You are to select ONLY ONE
     correct response and mark it in your Answer Sheet. Your total marks will depend on the number
     of correct responses marked by you in the Answer Sheet.
 9. In the Answer Sheet, there are five circles— A , B , C , D and E against each question. To
    answer the questions, you are to mark with Black/Blue ink ballpoint pen ONLY ONE circle of your
    choice for each question. Select only one response for each question and mark it in your Answer
    Sheet. If you mark more than one answer for one question, the answer will be treated as wrong.
    Use Black/Blue ink ballpoint pen only to mark the answer in the Answer Sheet. Any erasure
    or change is not allowed.
10. You should not remove or tear off any sheet from the Question Booklet. You are not allowed to
    take this Question Booklet and the Answer Sheet out of the Examination Hall during the
    examination. After the examination has concluded, you must hand over your Answer Sheet
    to the Invigilator. Thereafter, you are permitted to take away the Question Booklet with you.
11. Failure to comply with any of the above instructions will render you liable to such action or
    penalty as the Commission may decide at their discretion.
12. Candidates must assure before leaving the Examination Hall that their Answer Sheets will be kept
    in Self Adhesive LDPE Bag and completely packed/sealed in their presence.

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PART—I
                                 ( LANGUAGE )

Directions (Q. Nos. 1 and 2) : Fill in       5. Look there are _____ in the
the blanks with suitable articles like          water.
‘a’, ‘an’ and ‘the’ :
                                                 (A) birds
  1. Sarita is going to join as _____            (B) butterflies
     BDO.                                        (C) tadpoles
     (A) the
                                                 (D) More than one of the above
     (B) a
     (C) an                                      (E) None of the above
     (D) More than one of the above
      (E) None of the above                  6. A year is called leap year if it has
                                                 (A) more days in a month
  2. _____ Washington Post is the
     most read newspaper in the                  (B) more days in weeks
     USA.
                                                 (C) less days in a month
     (A) The
                                                 (D) More than one of the above
     (B) A
     (C) An                                      (E) None of the above
     (D) More than one of the above
      (E) None of the above                  7. Son of brother is known as

  3. Which of the following is not               (A) nephew
     a part of kitchen?                          (B) cousin
     (A) Bucket                                  (C) sibling
     (B) Geyser
                                                 (D) More than one of the above
     (C) Tap
     (D) More than one of the above              (E) None of the above
      (E) None of the above
                                             8. Father’s sister is known as
  4. Which among the following
     is not a fruit?                             (A) mausi
     (A) Carrot                                  (B) sister-in-law
     (B) Turnip                                  (C) cousin
     (C) Beetroot
                                                 (D) More than one of the above
     (D) More than one of the above
      (E) None of the above                      (E) None of the above



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PART—II
                            ( GENERAL STUDIES )

 31. In a shop, the cost of 2 pencils        33. The volume of the right prism
     and 3 erasers is R 9 and the                with an area of base 121 m 2 and
     cost of 4 pencils and 6 erasers             height 23 m is
     is R 18. What is the cost of each
     pencil and each eraser?
                                                 (A) 5 × 26 m 3
      (A) The cost of each pencil is
          R 1 and the cost of each               (B) 2783 m 3
          eraser is R 2

      (B) The cost of each pencil is             (C) 529 m 3
          R 2 and the cost of each
          eraser is R 1
                                                 (D) More than one of the above
      (C) The cost of each pencil is
          R 3 and the cost of each               (E) None of the above
          eraser is R 2

      (D) More than one of the above

      (E) None of the above



 32. The average age of 4 sisters is
                                             34. How many prime numbers are
     7 years. If we add the age of
                                                 there between 1 and 50?
     mother, then the average age
     is increased by 6 years. The age
     of the mother is                            (A) 10

      (A) 37 years
                                                 (B) 15
      (B) 42 years
                                                 (C) 21
      (C) 34 years
                                                 (D) More than one of the above
      (D) More than one of the above

      (E) None of the above                      (E) None of the above


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0 × 00001225          37. If 3 tanq = 4, then evaluate
 35. The value of                     is
                         0 × 00005329
                                                            3 sin q + 2 cos q
           35
     (A)                                                    3 sin q - 2 cos q
           73


           45
     (B)                                            (A) 1
           93

                                                    (B) 2
         55
     (C)
         23
                                                    (C) 0

     (D) More than one of the above                 (D) More than one of the above


     (E) None of the above                          (E) None of the above




 36. If x, y and z are positive real
                                               38. A solid piece of iron in the form
     numbers, then 5 3125x 10y 5z10
                                                   of a cuboid of dimensions
     is equal to                                   (49 cm × 33 cm × 24 cm)         is
                                                   moulded to form a solid sphere.
     (A) 5x 2yz 2                                  The radius of the sphere is


                                                    (A) 19 cm
     (B) 25x 3y 2z

                                                    (B) 23 cm
                2    2
     (C) 125x yz
                                                    (C) 21 cm

     (D) More than one of the above
                                                    (D) More than one of the above


     (E) None of the above                          (E) None of the above


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39. In nuclear reactors, D 2O is used        42. The study of inheritance from
     as                                           one generation to another is
                                                  known as
      (A) fuel
                                                  (A) genetics
      (B) source of deuterons
                                                  (B) microbiology
      (C) moderator
                                                  (C) cytology
      (D) More than one of the above
                                                  (D) More than one of the above
      (E) None of the above
                                                  (E) None of the above



 40. Lacteals are concerned with              43. Which pigment is essential for
                                                  nitrogen fixation by leguminous
      (A) production of milk                      plants?

      (B) secretion of lactic acid                (A) Anthocyanin

      (C) absorption of fats                      (B) Leghaemoglobin

      (D) More than one of the above              (C) Phycocyanin

      (E) None of the above                       (D) More than one of the above

                                                  (E) None of the above

 41. Which branch of botany is
     concerned with the study of
                                              44. The enzyme which is mixed with
     photosynthesis?
                                                  food in our mouth is
      (A) Plant Taxonomy
                                                  (A) pepsin

      (B) Ecology                                 (B) peroxidase

      (C) Plant Physiology                        (C) amylase

      (D) More than one of the above              (D) More than one of the above

      (E) None of the above                       (E) None of the above


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45. Al 2O 3 × 2 SiO 2 × 2 H 2O   is   the        47. ‘DigiYatra’ was not started at
     chemical formula for                             which airport on 1st December,
                                                      2022?

                                                      (A) Bengaluru
      (A) monazite
                                                      (B) Raipur

      (B) china clay                                  (C) Varanasi

                                                      (D) More than one of the above

      (C) sand                                        (E) None of the above


      (D) More than one of the above
                                                  48. Who was the Chief Guest on
                                                      the Republic Day, 26th January,
                                                      2023?
      (E) None of the above
                                                      (A) Rishi Sunak

                                                      (B) J. R. Biden

                                                      (C) Abdel Fattah el-Sisi
 46. An animal that chiefly eats meat
     is called as                                     (D) More than one of the above

                                                      (E) None of the above
      (A) omnivore

                                                  49. Where was the 5th European
      (B) carnivore                                   Union-India Competition Week,
                                                      2022 held?

                                                      (A) Mumbai
      (C) herbivore
                                                      (B) Bengaluru

      (D) More than one of the above                  (C) New Delhi

                                                      (D) More than one of the above

      (E) None of the above                           (E) None of the above


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50. Who was the Project Director             52. Which country has recently
     for ISRO’s Aditya-L1 Mission,                announced      the    successful
     launched on 2nd September,                   eradication of ‘Rubella’?
     2023 to study the Sun?
                                                  (A) Cuba

      (A) Sankarasubramanian K.                   (B) Bolivia

                                                  (C) Bhutan
      (B) P. Veeramuthuvel
                                                  (D) More than one of the above

      (C) Nigar Shaji                             (E) None of the above


      (D) More than one of the above
                                              53. Who has been awarded the
                                                  ‘Legion of Merit’ Award by
      (E) None of the above                       the USA?

                                                  (A) General Dalbir Singh Suhag

                                                  (B) General Bipin Rawat

 51. Which State Legislature in the               (C) Roy Bucher
     USA became the first State that              (D) More than one of the above
     has voted to outlaw discrimina-
     tion based on caste for people of            (E) None of the above
     South Asian descent who allege
     that they have been left out of
     traditional American safeguards          54. What is the purpose of ‘India
     for fairness in employment and               Pride Project’?
     housing?
                                                  (A) To provide justice to the
                                                      Indians living in foreign
      (A) California                                  countries

                                                  (B) To provide justice to women
      (B) New York
                                                      who have been divorced by
                                                      NRIs
      (C) Mississippi
                                                  (C) Bringing Indian     heritage
                                                      back to India
      (D) More than one of the above
                                                  (D) More than one of the above

      (E) None of the above                       (E) None of the above


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55. Which of the following is not           59. Which State      has   maximum
     young fold mountain?                        laterite soil?
     (A) Aravallis                               (A) Uttar Pradesh

     (B) Andes                                   (B) Bihar

     (C) Appalachians                            (C) Meghalaya
                                                 (D) More than one of the above
     (D) More than one of the above
                                                 (E) None of the above
     (E) None of the above

                                             60. Name the country who will host
 56. Which of the following areas has            the first G21.
     the lower snow line?
                                                 (A) France
     (A) Equatorial region
                                                 (B) Japan
     (B) Himalayan region                        (C) Brazil
     (C) Alps region                             (D) More than one of the above
     (D) More than one of the above              (E) None of the above
     (E) None of the above
                                             61. Which    of   the    following
                                                 instruments  is    used     for
 57. The Tropic of Cancer covers                 measuring humidity in the air?
     the maximum area of
                                                 (A) Aerometer
     (A) Ranchi Plateau
                                                 (B) Hydrometer
     (B) Malwa Plateau
                                                 (C) Hygrometer
     (C) Chota Nagpur Plateau                    (D) More than one of the above
     (D) More than one of the above              (E) None of the above
     (E) None of the above
                                             62. Which of the following blows
                                                 from Mediterranean Sea to the
 58. Thorn forests are not found in
                                                 Northwest part of India?
     (A) Karnataka
                                                 (A) Western Disturbance
     (B) Andhra Pradesh                          (B) Norwester
     (C) Tamil Nadu                              (C) Mango Shower
     (D) More than one of the above              (D) More than one of the above
     (E) None of the above                       (E) None of the above


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63. Under whose leadership did the        67. When was      the    Poona   Pact
     Santhal Rebellion of 1855–1856            signed?
     take place?                               (A) 24th September, 1932
     (A) Raj Kumar Shukla                      (B) 24th September, 1930
     (B) S. N. Sinha                           (C) 26th September, 1930
     (C) Sahajanand Saraswati                  (D) More than one of the above
     (D) More than one of the above            (E) None of the above
     (E) None of the above
                                           68. Who led the 1857 Revolt in
 64. Which important event took                Bihar?
     place on 5th March, 1931?                 (A) Mir Bakhsh
     (A) Gandhi-Irwin Pact                     (B) Babu Kunwar Singh
     (B) Gandhi attended the Round             (C) Birbhan Singh
         Table Conference
                                               (D) More than one of the above
     (C) Karachi Congress
                                               (E) None of the above
     (D) More than one of the above
     (E) None of the above                 69. At which of the following
                                               Sessions of the Indian National
 65. When did the Bihar Youth                  Congress did the Champaran
     League come into existence?               trouble come up for discussion?
     (A) 1930                                  (A) Calcutta, 1911
     (B) 1928                                  (B) Patna, 1912
     (C) 1940                                  (C) Ramgarh, 1940

     (D) More than one of the above            (D) More than one of the above

     (E) None of the above                     (E) None of the above


 66. Who led the Salt Satyagraha on        70. Who gave the famous slogan
     6th April, 1930 in Champaran?             ‘Inquilab Zindabad’?

     (A) Bepin Behari Varma                    (A) Hakim Ajmal Khan

     (B) Laxmi Narayan Jha                     (B) Chandra Shekhar Azad

     (C) Ramlal Prasad                         (C) Hasrat Mohani

     (D) More than one of the above            (D) More than one of the above

     (E) None of the above                     (E) None of the above



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PART—III
                              ( MATHEMATICS )

 71. Find    the   single discount           74. Which of the following statements
     equivalent to two successive                is not necessarily true?
     discounts of 20% and 10%.
                                                  (I)   A    quadrilateral    is    a
     (A) 25%                                            parallelogram      if     its
     (B) 26%                                            diagonals bisect each other.

     (C) 28%                                      (II) If   the     diagonals  of
                                                       a quadrilateral are equal,
     (D) More than one of the above
                                                       then it is a rectangle.
     (E) None of the above
                                                  (III) If   the    diagonals     of
                                                        a quadrilateral intersect at
 72. In a certain experiment, the                       right angles, then it is
     count of bacteria was increasing                   a rhombus.
     at the rate of 2·5% per hour.
     Initially, the count was 512000.             (IV) A rectangle, a square and
     Find the count of bacteria at                     a rhombus are special types
     the end of 2 hours.                               of parallelograms.

     (A) 537920                                   (A) I

     (B) 536920                                   (B) II
     (C) 537960                                   (C) III
     (D) More than one of the above               (D) More than one of the above
     (E) None of the above                        (E) None of the above

 73. The value of a machine                  75. ABCD      is a trapezium in
     depreciates at the rate of 20%              which AB ||DC , AB = 78 cm,
     per annum. It was purchased                 CD = 52 cm, AD = 28 cm and
     two years ago. If its present               BC = 30 cm. What is the area
     value is R 40,000, for how                  of this trapezium?
     much was it purchased?
                                                  (A) 1860 cm 2
     (A) R 62,500
                                                  (B) 1680 cm 2
     (B) R 65,200
     (C) R 56,500                                 (C) 1620 cm 2

     (D) More than one of the above               (D) More than one of the above
     (E) None of the above                        (E) None of the above


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76. The capacity of a reservoir is          79. If (2 3x -1 + 10) ¸ 7 = 6, then what
     108 m 3 . Water is poured into               is the value of x ?
     it at the rate of 60 litres per
     minute. How many hours will                  (A) –2
     it take to fill the reservoir?
                                                  (B) 1
     (A) 30
     (B) 32                                       (C) 2
     (C) 28                                       (D) More than one of the above
     (D) More than one of the above
                                                  (E) None of the above
     (E) None of the above

 77. If each side of a cuboid is             80. A steamer goes downstream and
     doubled, its surface area                   covers the distance between two
     (A) is doubled                              ports in 4 hours while it covers
     (B) becomes four times                      the same distance upstream in
                                                 5 hours. If the speed of the
     (C) becomes six times
                                                 stream is 2 km/hr, then what
     (D) More than one of the above              is the speed of the steamer in
     (E) None of the above                       still water?

 78. Consider the following frequency             (A) 18 km/hr
     distribution :                               (B) 16 km/hr
         Class interval    Frequency              (C) 15 km/hr
              0–10            3
                                                  (D) More than one of the above
              10–20           8
                                                  (E) None of the above
              20–30           16
              30–40           30
              40–50           17             81. The      maximum        value     of
                                                 sin q + cos q is
              50–60           4
                                                  (A) 2
     The median class is
     (A) 20–30                                    (B)   2
     (B) 30–40                                    (C)   3
     (C) 40–50
                                                  (D) More than one of the above
     (D) More than one of the above
     (E) None of the above                        (E) None of the above


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82. For what value of x is the line           85. If the perpendicular drawn from
     through the points (–2, 6) and                the origin to a straight line
     (4, 8) perpendicular to the line              makes an angle a with the
     through the points (8, 12) and                positive direction of the y-axis
     (x, 24) ?                                     and is of length p, then the
                                                   equation of the straight line is
      (A) 2
                                                   (A) x cos a + y sin a = p
      (B) 3
                                                   (B) x sin a + y cos a = p
      (C) 4                                        (C) y = x tana + p
      (D) More than one of the above               (D) More than one of the above
      (E) None of the above                        (E) None of the above

                                               86. The intercepts made by the
 83. If the angle between two lines is             line 3x - 4y + 10 = 0 on the
     p                                             coordinate axes of x and y are
         and the slope of one of the
     4                                             respectively
              1                                           3 2
     lines is , then the slope of the              (A) - ,
              2                                          10 5
     other line is
                                                       5     10
                                                   (B)   , -
      (A) 2                                            2      3
                                                         10 5
      (B) 3                                        (C) - ,
                                                          3 2
              1                                     (D) More than one of the above
      (C) -
              3                                     (E) None of the above

      (D) More than one of the above           87. A vehicle covered a distance with
      (E) None of the above                        a constant speed. Had its speed
                                                   been 6 km/hr more, the time
                                                   elapsed in the journey would
 84. If three points (h, 0), (a, b) and            have been 4 hours less; had its
     (0, k ) lie on a line, then the               speed been 6 km/hr less, the
                 a b
     value of +      is                            time elapsed in the journey
                h k                                would have been 6 hours more.
      (A) –1                                       The distance is
      (B) 1                                        (A) 640 km
                                                   (B) 680 km
      (C) 2
                                                   (C) 720 km
      (D) More than one of the above               (D) More than one of the above
      (E) None of the above                        (E) None of the above


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88. Shyam borrowed R 1,80,000 for            91. The minute hand of a watch is
     repairing    his  house.    This             1·5 cm long. How far does its
     amount is to be refunded in                  tip move in 40 minutes?
     three equal annual instalments
                                                   (A) 3p cm
     with interest. If the rate of
     interest is 10% per annum, the                (B) 2p cm
     amounts payable at the ends of
     the first, the second and the                 (C) 6·5 cm
     third year are respectively                   (D) More than one of the above
      (A) R 78,000; R 72,000; R 66,000             (E) None of the above

      (B) R 78,000; R 70,000; R 65,000
                                              92. For every positive integer n,
      (C) R 78,000; R 71,000; R 67,000
                                                  41n - 14n is a multiple of
      (D) More than one of the above
                                                   (A) 14
      (E) None of the above                        (B) 55

                                                   (C) 27
 89. The value of cos(-1710° ) is
                                                   (D) More than one of the above
      (A) 0                                        (E) None of the above
      (B) 1

      (C) –1                                  93. One card is drawn from a well-
                                                  shuffled deck of 52 cards.
      (D) More than one of the above              If each outcome is equally likely,
                                                  then what is the probability that
      (E) None of the above                       the card will not be a diamond?
                                                         1
                                                   (A)
 90. The standard deviation         of                   4
     11, 14, 15, 17, 18 is
                                                         12
      (A) 2                                        (B)
                                                         13
      (B)   5
                                                         3
                                                   (C)
      (C)   6                                            4

      (D) More than one of the above               (D) More than one of the above

      (E) None of the above                        (E) None of the above


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94. P , Q and R can complete a work           97. Susheel earned R 6,00,000 in
     in 6 hours, 8 hours and                       a year. In each month after the
     15 hours respectively. They                   first, he earned R 1,500 more
     together completed the work                   than he did in the previous
     and     received  R 9,460     as              month. How much did he earn
     remuneration.    Their    shares              in the first month?
     in    the    remuneration    are
                                                    (A) R 41,000
     respectively
                                                    (B) R 41,500
      (A) R 4,200; R 3,500; R 1,760
                                                    (C) R 41,750
      (B) R 4,400; R 3,300; R 1,760
                                                    (D) More than one of the above
      (C) R 4,300; R 3,250; R 1,910
                                                    (E) None of the above
      (D) More than one of the above
      (E) None of the above
                                               98. Three     consecutive   natural
                                                   numbers are such that the sum
 95. The sum of the squares of                     of the square of the first and
     two natural numbers is 410.                   the product of the second and
     If the square of the larger                   third is 191. What are they?
     number is 26 times the smaller
     number plus 3, then the                        (A) 9, 10, 11
     difference between the two                     (B) 8, 9, 10
     numbers is
                                                    (C) 10, 11, 12
      (A) 28
                                                    (D) More than one of the above
      (B) 10
                                                    (E) None of the above
      (C) 6
      (D) More than one of the above           99. The coordinates of three points
      (E) None of the above                                       æ a    ö æ 2a     ö
                                                   A, B and C are ç   , a÷ , ç  , 2a÷
                                                                  è 3 ø è 3         ø
 96. When     (x 3 - 10x 2 + 2x + 3) is                 æ a     ö
                                                    and ç   , 3a÷ respectively. The
                                                        è 3     ø
     divided by (x + 1,
                      ) the remainder
     is                                             D ABC is
      (A) –1                                        (A) equilateral
      (B) –10                                       (B) isosceles
      (C) 2                                         (C) right-angled
      (D) More than one of the above                (D) More than one of the above
      (E) None of the above                         (E) None of the above


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100. If p and q are the lengths                  102. Two cards are randomly drawn
     of the perpendiculars drawn                      from a pack of 52 cards and
     from the origin on the lines                     thrown away. What is the
                                                      probability of drawing an ace
       x sin q + y cos q = 2b sin q cos q             in a simple draw from the
                                                      remaining 50 cards?
           x cos q - y sin q = b cos 2q                    7
                                                      (A)
                                                          50
     respectively, then the value of                         11
     p 2 + q 2 is                                      (B)
                                                             50

     (A) b 2                                                  9
                                                       (C)
                                                             50

            1                                          (D) More than one of the above
     (B)
            b2                                         (E) None of the above

                                                 103. The product of cos(A + B ) and
     (C) 2b 2                                         cos(A - B ) is
                                                       (A) sin 2 A - sin 2 B
     (D) More than one of the above
                                                       (B) cos 2 A - sin 2 B

                                                       (C) cos 2 A - cos 2 B
     (E) None of the above
                                                       (D) More than one of the above
                                                       (E) None of the above
101. The area of a square field is
     60025 m 2 . A man cycles along              104. From the window of a house,
     its boundary at the speed of                     the angle of elevation of the top
     18 km/hr. In how much time                       of a flag is 60° and the angle of
     will he return to the starting                   depression of its base is 30°.
     point?                                           If the horizontal distance of the
                                                      flag from the house is 6 m, then
     (A) 3 minutes 15 seconds
                                                      find the height of the flag.
     (B) 3 minutes 16 seconds                          (A) 6 3 m
                                                       (B) 7 3 m
     (C) 3 minutes 12 seconds
                                                       (C) 8 3 m
     (D) More than one of the above
                                                       (D) More than one of the above
     (E) None of the above                             (E) None of the above


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105. The area of a rhombus is                  108. The    arithmetic   mean    and
     480 cm 2 and the length of its                 median      of    a   frequency
     shorter diagonal is 20 cm. The                 distribution are respectively
     length of its longer diagonal is               25·5 and 26. The mode is
     (A) 24 cm
                                                     (A) 27
     (B) 36 cm
     (C) 48 cm                                       (B) 24·5
     (D) More than one of the above
                                                     (C) 26·5
     (E) None of the above
                                                     (D) More than one of the above
106. Places A and B are 240 km apart
     on a highway. One car starts                    (E) None of the above
     from A and another from B at
     the same time. If the cars travel
     in the same direction at different        109. Simplify :
     speeds, they meet in 8 hours.
                                                           sin q + sin 3q + sin 5q
     If they travel towards each other
                                                           cos q + cos 3q + cos 5q
     with their previous speeds, they
     meet in 2 hours. What are the
     speeds of the two cars?                         (A) cot3q
     (A) 70 km/hr, 50 km/hr
                                                     (B) tan3q
     (B) 60 km/hr, 40 km/hr
     (C) 50 km/hr, 30 km/hr                          (C) tan2q
     (D) More than one of the above
                                                     (D) More than one of the above
     (E) None of the above
                                                     (E) None of the above
107. Calculate the arithmetic mean
     from the following frequency
     distribution :                            110. A cone and a hemisphere have
            Class interval   Frequency              the same base and the same
                0–10              6                 volume. The ratio of their
               10–20             10                 heights is
               20–30              9
               30–40              4                  (A) 2 : 3
               40–50             11                  (B) 3 :1
      (A)   26
      (B)   25                                       (C) 2 :1
      (C)   24                                       (D) More than one of the above
      (D)   More than one of the above
      (E)   None of the above                        (E) None of the above



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( SCIENCE )

111. Two thin convergent lenses of            114. Imagine a light planet is
     powers 5 dioptres and 4 dioptres              revolving around a star in
     are placed coaxially 10 cm                    circular orbit of radius R with
     apart. The focal length of their              the period of revolution T . If the
     combination would be                          gravitational force of attraction
      (A) 11·11 cm                                 between the two is proportional
                                                   to R -5/2 , then
      (B) 9·09 cm
                                                    (A) T 2 µ R 3
      (C) 1·11 cm
      (D) More than one of the above                (B) T 2 µ R 3/2

      (E) None of the above                         (C) T 2 µ R 7/2

                                                    (D) More than one of the above
112. An ideal transformer is used on
     220 V line to deliver 2 A at                   (E) None of the above
     110 V. The current flowing in
     the primary of the transformer is        115. When a proton injected in
      (A) 2 A                                      magnetic field moves perpen-
                                                   dicular to the lines of force, it
      (B) 1 A                                      follows
      (C) 4·4 A
                                                    (A) circular path
      (D) More than one of the above
                                                    (B) helical path
      (E) None of the above
                                                    (C) parabolic path

113. The radius of curvature of the                 (D) More than one of the above
     path of a charged particle in a                (E) None of the above
     uniform     magnetic    field is
     directly proportional to
                                              116. The resistivity of a given
      (A) intensity of the magnetic                conductor depends upon
          field
                                                    (A) temperature
      (B) momentum of the charged
          particle                                  (B) length of the conductor

      (C) charge of the particle                    (C) area of cross-section

      (D) More than one of the above                (D) More than one of the above
      (E) None of the above                         (E) None of the above


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117. The area under velocity-time               121. As the wavelength is increased
     graph for a particle in a given                 from violet to red, the luminosity
     interval of time represents                     (A) first      increases     then
      (A) displacement                                   decreases
      (B) acceleration                               (B) first      decreases     then
      (C) work done                                      increases
      (D) More than one of the above                 (C) remains constant
      (E) None of the above                          (D) More than one of the above
                                                     (E) None of the above
118. The least resistance obtained by
                                                122. If the light moving in a straight
     using 2 W, 4 W, 1 W and 100 W
                                                     line bends by a small but fixed
     is
                                                     angle, it may be a case of
      (A) < 100 W                                    (A) diffraction
      (B) < 2 W                                      (B) dispersion
      (C) < 1 W                                      (C) interference
      (D) More than one of the above                 (D) More than one of the above
      (E) None of the above                          (E) None of the above
119. The nucleus of the atom is                 123. Two bullets are fired simul-
     positive                                        taneously, horizontally and with
      (A) due to the presence         of             different speeds from the same
          electrons around it                        place. Which bullet will hit the
                                                     ground first?
      (B) due to the       presence   of
                                                     (A) The faster one
          neutrons
                                                     (B) The slower one
      (C) due to    the    presence   of
          protons                                    (C) Both will reach simul-
                                                          taneously
      (D) More than one of the above
                                                     (D) More than one of the above
      (E) None of the above
                                                     (E) None of the above
120. Which     of    the      following         124. If the speed and radius of a body
     represents voltage?                             moving in a circular path are
      (A) Work done /                                doubled, then the magnitude of
                   (Current × Time)                  centripetal acceleration will be
      (B) Work done × Charge                         (A) half
      (C) Work done ×                                (B) four times
                   (Time / Current)                  (C) doubled
      (D) More than one of the above                 (D) More than one of the above
      (E) None of the above                          (E) None of the above


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125. Which of the following reactions        128. Benzene reacts with chlorine in
     displays displacement reaction?              the presence of light to yield

      (A) MgCO 3 ® MgO + CO 2                      (A) chlorobenzene

      (B) 2H 2 + O 2 ® 2H 2O                       (B) tetrachlorobenzene
      (C) 2 Na + 2H 2O ® 2 NaOH + H 2
                                                   (C) benzene hexachloride
      (D) More than one of the above
                                                   (D) More than one of the above
      (E) None of the above
                                                   (E) None of the above

126. Why     does    carbon    form
     compounds     mainly   through          129. Burning of lime to give calcium
     covalent bonding?                            oxide and carbon dioxide is

      (A) There are 4 electrons in                 (A) oxidation process
          outermost orbit
                                                   (B) decomposition process
      (B) It requires large amount of
          energy to form C 4+                      (C) reduction process
      (C) It    shares its  valence                (D) More than one of the above
          electrons to complete its
          octet                                    (E) None of the above
      (D) More than one of the above

      (E) None of the above                  130. A solution reacts with crushed
                                                  eggshells to give a gas that
                                                  turns limewater milky. The
127. Sodium carbonate is a basic salt             solution contains
     because it is a salt of
                                                   (A) NaCl
      (A) strong acid and strong base
                                                   (B) HCl
      (B) weak acid and weak base

      (C) weak acid and strong base                (C) LiCl

      (D) More than one of the above               (D) More than one of the above

      (E) None of the above                        (E) None of the above


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131. 10 mL of a solution of NaOH              135. In chemistry, pK a stands for
     is found to be completely                      (A) polymer kinetic analogue
     neutralized by 8 mL of a given
                                                    (B) the symbol for the acid
     solution of HCl. If we take 20 mL
                                                        dissociation constant at
     of the same solution of NaOH,
                                                        logarithmic scale
     the amount of HCl solution
     (the same solution as before)                  (C) phenyl ketone acetate
     required to neutralize it will be              (D) More than one of the above
      (A) 4 mL                                      (E) None of the above
      (B) 8 mL
      (C) 12 mL                               136. The colourless species is
      (D) More than one of the above                (A) VCl 3
      (E) None of the above                         (B) VOSO 4
132. A drop of a liquid sample was                  (C) Na 3VO 4
     put on the pH paper. It was                    (D) More than one of the above
     observed that the colour of the
                                                    (E) None of the above
     pH paper turns blue. The liquid
     sample is
                                              137. Which metal is a part of German
      (A) distilled water                          silver?
      (B) lemon juice
                                                    (A) Cu
      (C) sodium bicarbonate solution
                                                    (B) Zn
      (D) More than one of the above
                                                    (C) Ni
      (E) None of the above
                                                    (D) More than one of the above
133. Which acid is present in tomato?
                                                    (E) None of the above
      (A) Citric acid
      (B) Oxalic acid                         138. Kolbe’s electrolytic method can
      (C) Lactic acid                              be applied on
      (D) More than one of the above                (A) CH 3COONa
      (E) None of the above                             CH2COOK
                                                    (B)
134. Na 2CO 3 ·10 H 2O is known as                      CH2COOK
     (A) baking soda
                                                          HC—COOK
      (B) baking powder                             (C)
      (C) washing soda                                    HC—COOK
      (D) More than one of the above                (D) More than one of the above
      (E) None of the above                         (E) None of the above


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139. The main site of photosynthesis        142. The most conducive pH range
     in the cells of a leaf is                   for the life of freshwater plants
                                                 and animals is
      (A) mitochondria
                                                  (A) 9·0–10·5
      (B) cytoplasm
                                                  (B) 3·5–7·0
      (C) chloroplast
                                                  (C) 6·5–7·5
      (D) More than one of the above
                                                  (D) More than one of the above
      (E) None of the above
                                                  (E) None of the above


140. The contraction and expansion          143. An unripe green fruit changes
     movement of the wall of food                colour when it ripens. The
     pipe is known as                            reason is

      (A) translocation                           (A) chromoplast    changes    to
                                                      chlorophyll
      (B) transpiration
                                                  (B) chromoplast    changes    to
      (C) peristaltic movement                        chromosome

      (D) More than one of the above              (C) chloroplast    changes    to
                                                      chromoplast
      (E) None of the above
                                                  (D) More than one of the above

141. The tube connecting kidney with              (E) None of the above
     urinary bladder in human being
     is
                                            144. In Amoeba, food is digested in
      (A) urethra
                                                  (A) food vacuole
      (B) ureter                                  (B) mitochondria

      (C) nephron                                 (C) pseudopodia

      (D) More than one of the above              (D) More than one of the above

      (E) None of the above                       (E) None of the above


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145. Which of the following is not            148. Dengue fever is caused by
     a function of the vacuole in
     plants?                                        (A) DNA-containing arbovirus

     (A) They store toxic metabolic                 (B) RNA-containing arbovirus
         wastes
                                                    (C) paramyxovirus
     (B) They help in the process of
         cell division                              (D) More than one of the above

     (C) They help       to   maintain              (E) None of the above
         turgidity

     (D) More than one of the above
                                              149. The youngest secondary xylem
     (E) None of the above                         occurs

                                                    (A) just inside the phellogen
146. The nodes of Ranvier are found
     in                                             (B) just outside the phellogen

     (A) nerve cells                                (C) just inside   the   vascular
                                                        cambium
     (B) heart cells
                                                    (D) More than one of the above
     (C) liver cells
                                                    (E) None of the above
     (D) More than one of the above

     (E) None of the above
                                              150. Which of the following functions
                                                   is performed by Malpighian
147. The missing link between birds                tubules in cockroach?
     and reptiles is
                                                    (A) Excretion
     (A) Archaeopteryx
                                                    (B) Blood circulation
     (B) Ichthyostega

     (C) Lycaenops                                  (C) Digestion

     (D) More than one of the above                 (D) More than one of the above

     (E) None of the above                          (E) None of the above


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Source: Bihar Public Service Commission. Question paper published by Bihar Public Service Commission.

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