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Bihar Upper Primary Teacher 2024: TRE 3.0, Class 6 to 8, Mathematics and Science

  • Date: 19 July 2024
  • Paper code: 22/2024
  • Language: Bilingual
  • 56 pages
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Serial No.
                                                                              Booklet Series




                                                                                     I
    11/MIV/M–2024 –05
                                        Candidate’s Roll Number



I
                                                  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, Language (Qualifying) consists of Question Nos. 1 to 30. In Part – I, English Language consists
         of Question Nos. E-1 to E-8 (common for all), Hindi Language consists of Question Nos. H-9 to H-30,
         Urdu Language consists of Question Nos. U-9 to U-30 and Bengali Language consists of Question Nos.
         B-9 to B-30 (Students are required to choose the questions from any one language out of three languages).
         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. An Answer Sheet has been supplied inside the question booklet to mark the answers. You must write
         your Roll Number and encode it and write other particulars in the space provided in the Answer                    I
         Sheet, failing which your Answer Sheet will not be evaluated.
      5. Immediately after commencement of the examination, you should check up your Question Booklet
         and attached answer sheet and ensure that the Question Booklet Series is printed on the top right-hand
         corner of the Booklet and the series encoded in answer sheet are same. Also please check that the
         Booklet contains 56 printed pages including two pages (Page Nos. 54 and 55) for Rough Work and
         no page or question is missing or unprinted or torn or repeated or question booklet and answer
         sheet have different series. If you find any defect in this Booklet and attached answer sheet, get it
         replaced immediately by a complete Booklet with OMR sheet of the same series.
      6. 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.
      7. 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.
      8. 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.
      9. If there is any sort of mistake either of printing or of factual nature, then out of English and Hindi versions
         of the questions, the English version will be treated as standard.
     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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                                                               1
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PART – I
                                     ( English Language )
	Directions (Q. Nos. E-1 to E-5) : Read the               E-3. The author here talks about
 passage given below and answer the questions                  (A) Lotus flower
 that follow.                                                  (B) Lily flower
 Be like a flower. One must try to become like                 (C) Rose flower
 a flower : open, frank, equal, generous and                   (D) More than one of the above
 kind. So you know what it means ? A flower                    (E) None of the above
 is open to all that surrounds it : nature, light,        E-4. The refined qualities of a flower are
 the rays of the sun, the wind etc. It exerts a                (A) Generosity and kindness
 spontaneous influence on all that is around                   (B) Frankness and honesty
 it. It radiates joy and beauty. It is frank. It               (C) Fragrance and beauty
 hides nothing of its beauty lets its fragrance                (D) More than one of the above
 flow frankly out of itself. What is within                    (E) None of the above
 and what is in its depths, it lets it come out
 so that everyone can see it. It is equal : it            E-5. A flower is open to all because
 has no preferences. Everyone can enjoy its                    (A) It radiates joy
 beauty and its perfume without rivalry. It is                 (B) It spreads its beauty to all
 equal and the same for everybody. There is                    (C) It influences all
 no difference or anything whatsoever. Then                    (D) More than one of the above
 generous without reserve or restriction, it                   (E) None of the above
 gives away the mysterious beauty and the
 very own perfume of nature. It sacrifices               	Directions (Q. Nos. E-6 and E-7) : Fill in
 itself entirely for our pleasure, even its life          the blanks with suitable articles like ‘a’, ‘an’
 sacrifices to express this beauty and the                and ‘the’ :
 secret of the things gathered within itself.             E-6. He saw ________ elephant at the Zoo.
 And then, kind : it has such a tenderness,                    (A) an
 it is so sweet, so close to us, so loving.                    (B) the
 Its presence fills us with joy. It is always                  (C) a
 cheerful and happy. Happy is he who can                       (D) More than one of the above
 exchange his qualities with real qualities of                 (E) None of the above
 the flowers.
                                                          E-7. _______ good education is important.
 E-1. A spontaneous influence means                            (A) An
      (A) A slow influence                                     (B) The
      (B) A quicker influence                                  (C) A
      (C) Naturally created influence                          (D) More than one of the above
      (D) More than one of the above                           (E) None of the above
      (E) None of the above
 E-2. A flower is compared                                E-8. If 21 March is Wednesday, what will
      (A) With human beings                                    be 25th March ?
      (B) With girls                                           (A) Friday
      (C) With all living things                               (B) Sunday
      (D) More than one of the above                           (C) Thursday
                                                               (D) More than one of the above
      (E) None of the above
                                                               (E) None of the above
11/MIV/M–2024 –05/I                                  2
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( Urdu Language )

                            .U-10
                      (A)

                      (B)

                      (C)
                      (D)

                      (E)


                            .U-11

                      (A)
                      (B)
                      (C)
                      (D)

                      (E)


                            .U-12
                      (A)
                      (B)
                      (C)
                      (D)
                      (E)


                            .U-13
                                                 .U-9
                      (A)
                                           (A)
                      (B)
                                           (B)
                      (C)                  (C)
                      (D)                  (D)
                      (E)                  (E)

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.U-15
                      (A)
                      (B)

                      (C)

                      (D)

                      (E)


                            .U-16

                      (A)
                      (B)
                      (C)

                      (D)

                      (E)


                            .U-17

                      (A)

                      (B)
                      (C)

                      (D)

                      (E)


                                               .U-14
                            .U-18
                                        (A)
                      (A)
                                        (B)
                      (B)
                                        (C)
                      (C)
                                        (D)
                      (D)
                                        (E)
                      (E)

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.U-22             .U-19

                                        (A)

                      (A)               (B)

                      (B)               (C)

                      (C)               (D)

                      (D)               (E)

                      (E)
                                              .U-20



                            .U-23
                                        (A)
                      (A)
                                        (B)

                      (B)               (C)

                      (C)               (D)

                      (D)               (E)


                      (E)


                                              .U-21

                                        (A)
                            .U-24

                      (A)               (B)

                      (B)               (C)
                      (C)
                                        (D)
                      (D)
                                        (E)
                      (E)


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.U-28              .U-25

                      (A)

                      (B)               (A)

                      (C)               (B)

                      (D)               (C)

                      (E)               (D)

                                        (E)


                            .U-29


                                               .U-26
                      (A)
                                        (A)
                      (B)
                      (C)               (B)

                      (D)               (C)

                      (E)
                                        (D)

                                        (E)

                            .U-30

                      (A)                      .U-27

                      (B)               (A)

                      (C)               (B)
                                        (C)
                      (D)
                                        (D)

                      (E)               (E)



11/MIV/M–2024 –05/I                 9         [ P.T.O.
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( Bengali Language )

                                 B-10.
                                         (A)

                                         (B)
                                         (C)

                                         (D)


                                         (E)

                                 B-11.
                                         (A)
                                         (B)
                                         (C)
                                         (D)

                                         (E)

                                 B-12.


                                         (A)
                                         (B)
                                         (C)
                                         (D)


                                         (E)

 B-9.                            B-13.
        (A)                              (A)
        (B)                              (B)
        (C)                              (C)
        (D)                              (D)


        (E)                              (E)

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B-14.


                               (A)
                               (B)
                               (C)
                               (D)


                               (E)

                       B-15.
                               (A)
                               (B)
                               (C)
                               (D)


                               (E)

                       B-16.


                               (A)
                               (B)
                               (C)
                               (D)


                               (E)


                       B-17.
                               (A)
                               (B)
                               (C)

                               (D)


                               (E)

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B-18.		                B-21.
                               (A)
          (A)                  (B)
          (B)                  (C)

          (C)                  (D)

          (D)
                               (E)

          (E)
                       B-22.

                               (A)

                               (B)

                               (C)

                               (D)
B-19.

          (A)                  (E)

          (B)
                       B-23.
          (C)

          (D)                  (A)
                               (B)

          (E)                  (C)
                               (D)

B-20.                          (E)

                       B-24.
          (A)
                               (A)
          (B)
                               (B)
          (C)                  (C)

          (D)                  (D)


          (E)                  (E)

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B-25.                  B-28.


        (A)                    (A)
        (B)
                               (B)
        (C)
                               (C)
        (D)
                               (D)

        (E)
                               (E)

B-26.
                       B-29.

        (A)
                               (A)
        (B)
                               (B)
        (C)
                               (C)
        (D)
                               (D)

        (E)
                               (E)


B-27.
                       B-30.


        (A)                    (A)

        (B)                    (B)


        (C)                    (C)


        (D)                    (D)



        (E)                    (E)


11/MIV/M–2024 –05/I   13             [ P.T.O.
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PART – II
                                 ( General Studies )
 31.   If x4 + y4 = 17 and x + y = 1, then the        34.   In how many years will ` 7,500 double
                                                            at 8% simple interest ?
       value of x2y2 – 2xy is
                                                            (A) 12.5 years
       (A) 8

       (B) 12                                               (B) 16 years

       (C) 4                                                (C) 10 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


                                                      35.   Subhashchandra Bose was President
 32.   Which of the following oxides is
                                                            of Indian National Congress in the
       soluble in water ?
                                                             year/s

       (A) CaO                                              (A) 1938

       (B) FeO                                              (B) 1939

       (C) ZnO                                              (C) 1937

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

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


 33.   Where has the Gharial Breeding                 36.   Which city was recently declared as
       Center been established in India ?                   the tourism capital of the Country by
                                                            the government of Nepal ?
       (A) Sundarbans (W.B.)
                                                            (A) Kathmandu
       (B) Corbett (Uttarakhand)
                                                            (B) Pokhara
       (C) Morena (M.P.)
                                                            (C) 	Lumbini
       (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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37.   The formation of Simon Commission        39.   Where are more favorable conditions
                                                      found in India for tidal and wave
       was announced on
                                                      energy production ?

                                                      (A) Khambhat bay
       (A) 8th November 1928                          (B) Ganga river

                                                      (C) Gulf of Kutch

       (B) 8th November 1929                          (D) Mannar bay

                                                      (E) None of the above

       (C) 8th December 1927
                                                                                  2
                                                                              −
                                                40.   The value of (0.03125)      5
                                                                                      is

       (D) More than one of the above                 (A) 6

                                                      (B) 9

       (E) None of the above                          (C) 4

                                                      (D) More than one of the above

                                                      (E) None of the above
 38.   Which of the following represents

       non-ohmic resistance ?                   41.   Under the Government of India
                                                      Act 1935, who was the first elected
       (A) Nichrome                                   Chairman of Bihar Legislative
                                                      Council ?

       (B) Copper                                     (A) Rajiv Ranjan Sinha

                                                      (B) Rai Bahadur Satish Chandra
       (C) Torch Bulb
                                                      (C) Rajendra Prasad
       (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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42.   The Ministry of Science and                 44.   What is India’s position in the world
       Technology recently announced a                   on the basis of per capita water
       new set of National Awards in the                 availability per year ?
       field of Science, Technology and
                                                         (A) 123rd
       Innovation known as ‘Rashtriya
       Vigyan Puraskar’, for which the                   (B) 133rd
       award ceremony for all categories of
                                                         (C) 140th
       awards will be held every year on
                                                         (D) 100th
       (A) 11th May – National Technology                (E) None of the above
                       Day

                                                                  3x
       (B) 23rd August – National Space Day        45.
                                                            1
                                                         If          = 0.008, then the value of
                                                            5

       (C) 28th February – National Science              (0.25)x is
                             Day                         (A) 1.0
                                                         (B) 4.0
       (D) More than one of the above
                                                         (C) 0.25
                                                         (D) More than one of the above
       (E) None of the above
                                                         (E) None of the above

 43.   Who threw harmless bombs in the
                                                   46.   Bihar Diwas is celebrated on
       Central Legislative Assembly ?                    ___________ to

                                                         (A) On March 22 to commemorate
       (A) Batukeshwar Dutt                                  its separation form the Bengal
                                                             Presidency
       (B) Jatin Das                                     (B) On March 22 to commemorate
                                                             its separation form the Calcutta
                                                             Presidency
       (C) Chandrashekhar Azad
                                                         (C) On March 22 to commemorate
                                                             its separation form the Mughal
       (D) More than one of the above
                                                             Presidency

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

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47.   Who was conferred the Dadasaheb            50.   In which year was the African
       Phalke Award 2023 for lifetime                   Convention for the Conservation of
       contribution to cinema ?                         Natural Resources held ?

       (A) Dilip Kumar (Posthumously)                   (A) 1968

       (B) Asha Parekh                                  (B) 1990

       (C) Waheeda Rehman                               (C) 1980

       (D) More than one of the above                   (D) 1960

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


 48.   Which of the following is true ?
                                                  51.   Which one of the following is not a
             31 17 59 43
       (A)     <  <  <                                  colloid ?
             36 18 60 45
                                                        (A) Blood
             31 17 43 59
       (B)     <  <  <
             36 18 45 60
                                                        (B) Vinegar
             17 31 43 59
       (C)     <  <  <                                  (C) Smoke
             18 36 45 60

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

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



 49.   Store house of malarial parasite in        52.   What is manganese used for ?
       our body is
                                                        (A) Photography industry
       (A) Spleen
                                                        (B) Matchbox industry
       (B) Stomach

       (C)	Liver                                        (C) Battery production

       (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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53.   Which of the following organs control        56.   For what purpose is water used the
       body balance ?                                     most in India ?

       (A) Ribs                                           (A) Industries

       (B) Cerebellum                                     (B) Domestic


       (C) Ear                                            (C) Irrigation


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

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



 54.   Which of the following is true about         57.   Congress Socialist Party (CSP) was
       respiration ?                                      formed in the year

       (A) Energy is released and stored in               (A) 1932
           form of ADP
                                                          (B) 1934
       (B) Energy is not released at all
                                                          (C) 1930
       (C) Energy is released and stored in
                                                          (D) More than one of the above
           form of ATP

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

       (E) None of the above
                                                    58.   The ratio of two numbers is 14 : 25.
                                                          If the difference between them is 264,
 55.   Asiatic Society of Bengal was                      then the smaller of the two numbers is
       founded by
                                                          (A) 317
       (A) Sir William Jones
                                                          (B) 336
       (B) Sir William Bentinck
                                                          (C) 282
       (C) Sir James Todd

       (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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59.   Ghatshila of Jharkhand is famous        62.	Lamps used in street lighting are
       for which mineral production ?              connected in

                                                     (A) Series
       (A) Bauxite
                                                     (B) Both series and parallel
       (B) Mica
                                                     (C) Parallel
       (C) Copper
                                                     (D) More than one of the above
       (D) More than one of the above
                                                     (E) None of the above

       (E) None of the above
                                               63.   Which Country in the world became
                                                     the first to enshrine right to abortion
 60.   Where is the UN Climate Change                in its Constitution ?
       Conference 2024 scheduled to be
       held in November 2024 ?                       (A) France

       (A) Baku-Azerbaijan                           (B) Denmark

       (B) Dubai-UAE                                 (C) United States

       (C) Sharmel-Sheikh-Egypt                      (D) More than one of the above

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

       (E) None of the above
                                               64.   Famous for his role during 26/11
                                                     Mumbai terrorist attacks,
 61.   Which river makes boundary between            Dr. Sadanand Date was appointed
       India and Nepal ?                             as Chief of which one of the following
                                                     forces in March 2024 ?
       (A) Gandak
                                                     (A) Central Reserve Police Force
                                                         (CRPF)
       (B) Kosi
                                                     (B) Enforcement Directorate (ED)
       (C) Kali
                                                     (C) Border Security Force (BSF)
       (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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65.   A room is 8 meters long, 6 meters wide         68.   Which one of the following is not
       and 10 meters high, then the length                  among the four pilots who have been
       of the longest pole that can be placed               trained to become astronauts for the
       in the room is                                       ISRO’s Gaganyaan mission to space
                                                            planned for 2024-25 ?
       (A) 12 meters
                                                            (A) Group Captain Ajit Krishnan
       (B) 12 6 meters
                                                            (B) Wing Commander Subhanshu
       (C) 10 2 meters                                          Shukla
                                                            (C) Group Captain P.B. Nair
       (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.   National Library of India started its          69.   Subramaniam and Naidu donate
       journey with the opening of                          some money in a relief fund. The
                                                            amount paid by Naidu is ` 125 more
       (A) Calcutta Public Library in                       than that of Subramaniam. If the
           March 1837                                       total money paid by them is ` 975,
                                                            then the amount of money donated
       (B) Calcutta Public Library in                       by Subramaniam is
           March 1838
                                                            (A) ` 425
       (C) Calcutta Public Library in                       (B) ` 385
           March 1836
                                                            (C) ` 575
       (D) More than one of the above                       (D) More than one of the above
       (E) None of the above                                (E) None of the above


                                                      70.   What was the electoral symbol
 67.   Plants appear to bend towards light
       due to                                               that was restored to Imran Khan’s
                                                            Pakistan Tehreek-e-Insaf party by a
       (A) Concentration of auxins at root tip
                                                            ruling of the Peshawar High Court
       (B) Concentration of auxins at shoot                 against the decision of the Country’s
           tip                                              election commission in January 2024 ?

       (C) Diffusion of auxins towards                      (A) Crescent Moon
           shady side of shoot                              (B) Cricket ‘Ball’
                                                            (C) Cricket ‘ Bat’
       (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.   The sum of the exponents of the prime      73.   If 11 times the 11th term of an A.P. is
       factors in the prime factorisation of            equal to 7 times its 7th term, then its
       196 is
                                                        18th term will be

       (A) 2                                            (A) 11

                                                        (B) 18
       (B) 4
                                                        (C) 0
       (C) 6
                                                        (D) 7

       (D) 1                                            (E) None of these

       (E) None of these
                                                  74.   If point p(x, y) is equidistant from
                                                        A(5, 1) and B(–1, 5), then

 72.   If α and β are the roots of the                  (A) x = 5y
                              2
       quadratic equation 4x + 3x + 7 = 0,
            1 1                                         (B) 3x = 2y
       then + =
            α β
                                                        (C) 2x = 3y

                                                        (D) 5x = y
             7
       (A)
             3                                          (E) None of these


             3                                    75.   The shadow of a tower is equal to
       (B)
             7
                                                        its height at 10.45 a.m. The sun’s
                                                        altitude is
             −3
       (C)                                              (A) 45°
              7
                                                        (B) 60°
             7
       (D) −
             3                                          (C) 90°

                                                        (D) 30°
       (E) None of these
                                                        (E) None of these

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76.   The radii of bases of a cylinder and a       79.   If a number x is chosen from the
       cone are in the ratio 3 : 4 and their              number 1, 2, 3 and a number y is
                                                          selected from the numbers 1, 4, 9
       heights are in the ratio 2 : 3. The ratio
                                                          then p(xy < 9) is
       between the volume of cylinder to that
       of cone is                                         (A) 9 5
       (A) 7 : 8
                                                          (B) 2
                                                                  3
       (B) 5 : 7
                                                          (C) 1
                                                                  9
       (C) 7 : 5
                                                          (D) 7
       (D) 8 : 9                                                  9
                                                          (E) None of these
       (E) None of these


 77.   The length of the hypotenuse of an           80.   The sum and product of the roots of the

       isosceles right triangle whose one side            equation 2x2 – 5x + 4 = 0 are in ratio
       is 4 2 cm is
                                                          (A) 5 : 4
       (A) 7 cm                                           (B) 10 : 4
       (B) 8 2 cm
                                                          (C) 10 : 7
       (C) 12 2 cm
                                                          (D) 5 : 2
       (D) 12 cm
                                                          (E) None of these
       (E) None of these

                                                    81.   In an equilateral triangle ABC, AD
 78.   A sum of Rs. 10,000 is borrowed by
                                                          perpendicular to BC, then which of
       Akshit for 2 years at an interest of
                                                          the following is true ?
       10% compounded annually. Find the
       compound interest and amount he                    (A) 4 AB2 = 3 AD2
       has to pay at the end of 2 years.
                                                          (B) 3 AB2 = 4 AD2
       (A) 12200, 2100
       (B) 12200, 2200                                    (C) 3 AB2 = 2 AD2
       (C) 12100, 2200
                                                          (D) 2 AB2 = 3 AD2
       (D) 12100, 2100
       (E) None of these                                  (E) None of these


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82.   If the difference between the               85.   If P is a prime number, then LCM of
       circumference and radius of a circle              P, P2 and P3 is
       is 37cm, then using π = 22 , the
                                  7                      (A) P2
       circumference of circle is
                                                         (B) P3
       (A) 44

       (B) 14                                            (C) P6

       (C) 7                                             (D) P
       (D) 154
                                                         (E) None of these
       (E) None of these

                                                   86.   The area of the circle that can be
 83.   If ∆ ABC is right angled at C, then               inscribed in a square of side 10 cm is
       the value of cos (A+B) is
                                                         (A) 30π cm2
       (A) 1
             1                                           (B) 150π cm2
       (B)       2

       (C)     3                                         (C) 25π cm2
                     2

       (D) 0                                             (D) 100π cm2

       (E) None of these                                 (E) None of these


 84    In a throw of two dice, the probability     87.   The area of a sector of a circle with
       of getting a sum of 10 is                         radius 6 cm if the angle of the sector
                                                         is 60°

       (A) 136                                           (A) 152/7

       (B) 16                                            (B) 132/7

       (C) 1                                             (C) 122/7
               4

       (D)   1                                           (D) 142/7
              12

       (E) None of these                                 (E) None of these


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88.   (n+1)2 – 1 is divisible by 8, if n is           91.   Sides of two similar triangles are in
                                                             the ratio 4 : 9. Areas of these triangles
       (A) an even integer                                   are in the ratio

       (B) a natural number
                                                             (A) 4 : 9
       (C) an integer
                                                             (B) 81 : 16
       (D) an odd integer
                                                             (C) 16 : 81
       (E) None of these
                                                             (D) 2 : 3


 89.   If radii of two concentric circles are                (E) None of these

       4 cm and 5 cm, then the length of each
       chord of one circle which is tangent to         92.   If the points A(1, 2), b(0, 0) and
       the other circle is                                   C(a, b) are collinear, then

       (A) 6 cm                                              (A) a = 2b

       (B) 9 cm                                              (B) 2a = b

       (C) 1 cm                                              (C) a = –b

       (D) 3 cm                                              (D) a = b

       (E) None of these                                     (E) None of these



 90.   If one zero of the quadratic polynomial         93.   Find the market price of 5% Rs. 100
       x2 + 3x + k is 2, then the value of k is              share when a person gets a dividend
                                                             of Rs. 65 by investing Rs. 1,430.
       (A) –10
                                                             (A) 130
       (B) 5
                                                             (B) 120
       (C) –5
                                                             (C) 160
       (D) 10
                                                             (D) 150

       (E) None of these                                     (E) None of these


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94.   If the perimeter of a circle is equal        97.   If the mean of first n natural numbers
       to that of a square, then the ratio of             is 3n , then the value of n is
                                                                 5
       their area is
                                                          (A) 4

       (A) 14 : 11                                        (B) 5

       (B) 7 : 22                                         (C) 6

                                                          (D) 3
       (C) 11 : 14
                                                          (E) None of these
       (D) 22 : 7
                                                    98.   A solid right circular cone is cut into
       (E) None of these
                                                          two parts at the middle of its height
                                                          by a plane parallel to its base. The
 95.   If (m)n = 32 where m and n are positive            ratio of the volume of smaller cone to
                                     mn
       integers, then the value of (n)    is              the whole cone is
       (A) 25                                             (A) 1 : 4
             10
       (B) 5
                                                          (B) 1 : 6
             25
       (C) 5
                                                          (C) 1 : 8
       (D) 32
                                                          (D) 1 : 2
       (E) None of these
                                                          (E) None of these

                                                    99.   A company declares 8 percent dividend
 96.   The graph of y = f(x), where f(x) is
                                                          to the shareholders. If a man receives
       a quadratic polynomial meets the
                                                          Rs. 2,840 as his dividend, find the
       x-axis at A(–2, 0) and B(–3, 0), then
       the expression for f(x) is                         nominal value of his shares.

       (A) x2 – 5x + 6                                    (A) 33500

       (B) x2 + 5x – 6                                    (B) 37500

       (C) x2 – 5x – 6                                    (C) 38500

       (D) x2 + 5x + 6                                    (D) 36500

       (E) None of these                                  (E) None of these


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103.   A tank is made of the shape of
100.   sin (45° + θ) – cos (45° – θ) is equal to
                                                           a cylinder with a hemispherical
       (A) 0                                               depression at one end. The height of
                                                           the cylinder is 1.45 m and radius is
       (B) sin θ                                           30 cm. The total surface area of the
                                                           tank is
       (C) 1
                                                           (A) 3.3 m2
       (D) 2 cosec θ
                                                           (B) 30.3 m2
       (E) None of these                                   (C) 3300 m2

                                                           (D) 30 m2
101.   If the line segment is divided in the
                                                           (E) None of these
       ratio 3 : 7, then how many parts does
       it contain while constructing the point
       of division ?                                104.   If n is a natural number, then 6n – 5n
                                                           always ends with
       (A) 7
                                                           (A) 3
       (B) 4
                                                           (B) 5
       (C) 10

       (D) 3                                               (C) 7

       (E) None of these                                   (D) 1

                                                           (E) None of these
102.   If PA and PB are tangents to the circle
       with centre O such that angle APB = 50°,
                                                    105.   The pair of equation x = a and y = b
       then angle OAB =
                                                           graphically representing lines which
       (A) 30°                                             are

                                                           (A) Intersecting at (b, a)
       (B) 40°
                                                           (B) Parallel
       (C) 50°
                                                           (C) Intersecting at (0, 0)
       (D) 25°
                                                           (D) Coincident
       (E) None of these
                                                           (E) None of these


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106.   In a cricket match, a batsman hits the    108.   For a given data with 50 observations,
       boundary 8 times out of 40 balls he              the ‘less than ogive’ and the
       plays. Find the probability that he did   		 ‘more than ogive’ intersect at (15.5, 20).
       not hit the boundary.
                                                        The median of the data is

                                                        (A) 20
       (A) 1
               5                                        (B) 50

                                                        (C) 15.5
       (B) 5
               4                                        (D) 4.5

                                                        (E) None of these
       (C) 5
                                                 109.   The probability that non-leap year
                                                        has 53 sundays is
       (D) 4
               5                                        (A) 5
                                                                7

                                                        (B) 6
       (E) None of these                                        7

                                                        (C) 17

                                                        (D) 2
                                                             7
107.   If tan A = cot (30° + A), then A =
                                                        (E) None of these


       (A) 30°                                   110.   From the top of a cliff 25 m high, the
                                                        angle of elevation of a tower is found
                                                        to be equal to the angle of depression
       (B) 135°
                                                        of the foot of the tower. The height of
                                                        the tower is
       (C) 60°                                          (A) 50 m

                                                        (B) 75 m
       (D) 45°                                          (C) 100 m

                                                        (D) 25 m
       (E) None of these                                (E) None of these


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( SCIENCE )

111.   The force required to maintain an         115.   A car covers a distance of 200 km in
       object at a constant velocity is                 4 hours. What is its average speed ?
       (A) Frictional force                             (A) 100 km/h
       (B) Net force                                    (B) 25 km/h
       (C) Gravitational force                          (C) 50 km/h
       (D) More than one of the above                   (D) More than one of the above
       (E) None of the above                            (E) None of the above

112.   Which of the following is an              116.   The breakdown of pyruvate to give
       unsaturated hydrocarbon ?                        carbon dioxide, water and energy
                                                        takes place in
       (A) Methane
                                                        (A) Chloroplast
       (B) Ethane
                                                        (B) Mitochondria
       (C) Ethene
                                                        (C) Cytoplasm
       (D) More than one of the above
                                                        (D) More than one of the above
       (E) None of the above
                                                        (E) None of the above

113.   The membrane surrounding the cell
                                                 117.   Which subatomic particle has
       is called
                                                        negligible mass ?
       (A) Cell wall                                    (A) Proton
       (B) Plasma membrane                              (B) Neutron
       (C) Cytoplasm                                    (C) Electron

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

                                                 118.   The speed of sound is maximum in
114.   The study of the inheritance of traits
                                                        which of the following ?
       in humans is called
                                                        (A) Water
       (A) Herpetology
       (B) Paleontology                                 (B) Steel

       (C) Heredity                                     (C) Air
       (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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119.   Food cans are coated with tin and       122.   Butanone is a four-carbon
       not with zinc because                          compound with the functional group

       (A) zinc has a higher melting point            (A) Aldehyde
           than tin
                                                      (B) Ketone
       (B) zinc is more reactive than tin
                                                      (C) Carboxylic acid
       (C) zinc is costlier than tin
                                                      (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.   What happens to the gravitational       123.   What is the function of meristematic
       force between two objects if the               tissue in plants ?
       distance between them is doubled ?             (A) Protection
       (A) It becomes one-fourth
                                                      (B) Growth
       (B) It becomes half
                                                      (C) Support
       (C) It quadruples
                                                      (D) More than one of the above
       (D) More than one of the above
       (E) None of the above                          (E) None of the above



121.   Which of the following are
                                               124.   What is the work to be done to
       environment-friendly practices ?
                                                      increase the velocity of a car from
       (A) Switching off unnecessary lights           30 km h–1 to 60 km h–1 if the mass
           and fans                                   of the car is 1500 kg ?
       (B) Walking to school instead of
                                                      (A) 156250 J
           getting your mother to drop you
           on her scooter                             (B) 156650 J

       (C) Carrying cloth bags to put                 (C) 800 J
           purchases in while shopping
                                                      (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.	Lichens are sensitive to which air         129.     Which of the following constitutes a
     pollutant?                                          food chain ?
       (A) Carbon monoxide
                                                         (A) Grass, goat and human
       (B) Methane
       (C) Sulphur dioxide                               (B) Goat, cow and elephant
       (D) More than one of the above
                                                         (C) Grass, wheat and mango
       (E) None of the above
                                                         (D) More than one of the above
126.   In which of the following sphere,
       weather phenomenon occurs ?                       (E) None of the above

       (A) Troposphere

       (B) Stratosphere                         130.     The magnetic field lines around a
                                                         straight current carrying conductor
       (C) Ionosphere
                                                         are
       (D) More than one of the above
                                                         (A) Ellipses
       (E) None of the above
                                                         (B) Parallel lines
127.   The gap between two neurons is
                                                         (C) Concentric circles
       called as
                                                         (D) More than one of the above
       (A) synapse
       (B) axon                                          (E) None of the above

       (C) dendrite
       (D) More than one of the above               131. What happens when dilute
                                                         hydrochloric acid is added to iron
       (E) None of the above
                                                         fillings ?
128.   Which of the following represents the
                                                         (A) Chlorine gas and iron hydroxide
       correct electronic configuration of
                                                               are produced
       nitrogen ?
                                                         (B) No reaction takes place
       (A) 2, 8, 7
                                                         (C) Hydrogen gas and iron chloride
       (B) 2, 8, 5
                                                               are produced
       (C) 2, 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


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132.   The kidneys in human beings are a      135.   The phenomenon due to which the
       part of the system for                        sky appears blue is

       (A) excretion                                 (A) Dispersion

       (B) respiration                               (B) Reflection

       (C) nutrition                                 (C) Scattering

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

                                              136.   Starting from a stationary position,
133.   Which of the following terms does             Rahul pedals his bicycle to attain a
       not represent electrical power in a           velocity of 6 ms–1 in 30 s. Then he
       circuit ?                                     applies brakes such that the velocity
                                                     of the bicycle comes down to 4 ms–1 in
       (A) IR2                                       the next 5 s. Calculate the acceleration
                                                     of the bicycle in both the cases.
       (B) VI
                                                     (A) 0.2 ms–2 and – 0.4 ms–2
       (C) I2R
                                                     (B) 1.5 ms–2 and 4 ms–2

       (D) More than one of the above                (C) 0.8 ms–2 and – 0.6 ms–2

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

                                                     (E) None of the above

134.   Which of the following is not a
                                              137.   Which of the following statements
       characteristic of solids ?
                                                     about permanent tissues is correct ?
       (A) Ability to flow easily                    (A) They are only found in young
                                                         plants
       (B) Molecules closely packed
                                                     (B) They are capable of rapid cell
       (C) Definite shape                                division
                                                     (C) They lose the ability to divide
       (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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138.   Which of the following is a              141.   What is the process of changing a
       characteristic property of acids ?              substance directly from solid to gas
                                                       called ?
       (A) Have a pH greater than 7
                                                       (A) Evaporation
       (B) Turn blue litmus paper red
                                                       (B) Sublimation
       (C) Turn red litmus paper blue
                                                       (C) Melting

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

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


139.   According to Newton’s second law of
                                                142.   The anther contains
       motion, the acceleration of an object
       is directly proportional to the                 (A) ovules

       (A) Force acting on the object                  (B) pollen grains

       (B) Inverse of the mass of the object           (C) sepals

       (C) Mass of the object                          (D) More than one of the above

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

       (E) None of the above

                                                143.   What is the common name of
140.   Which of the following is a plant
                                                       calcium hydroxide ?
       hormone ?

                                                       (A) Baking soda
       (A) Gibberellin

                                                       (B)	Lime water
       (B) Cytokinin
                                                       (C) Slaked lime
       (C) Auxin
                                                       (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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144.   Who discovered the cell for the first     148.   What happens when light enters a
       time ?                                           glass slab from air ?
       (A) Anton van Leeuwenhoek                        (A) It bends away from the normal
       (B) Rudolf Virchow
                                                        (B) It undergoes total internal
       (C) Robert Hooke                                     reflection
       (D) More than one of the above
                                                        (C) It bends towards the normal
       (E) None of the above
                                                        (D) More than one of the above

145.   The SI unit of work is                           (E) None of the above
       (A) Newton

       (B) Watt                                  149.   Which of the following methods is

       (C) Joule                                        suitable for preventing an iron frying
                                                        pan from rusting ?
       (D) More than one of the above

       (E) None of the above                            (A) Applying paint

                                                        (B) Applying a coating of zinc
146.   Which of the following is not a
       physical change ?                                (C) Applying grease
       (A) Burning of coal
                                                        (D) More than one of the above
       (B) Dissolving salt in water
                                                        (E) None of the above
       (C) Melting of ice

       (D) More than one of the above
                                                 150.   The acceleration due to gravity
       (E) None of the above
                                                        on the surface of the earth is
                                                        approximately
147.   Which of the following is not a vector
       borne disease ?                                  (A) 10 m/s2
       (A) Dengue
                                                        (B) 6.4 m/s2
       (B) Tuberculosis
                                                        (C) 9.8 m/s2
       (C) Malaria

       (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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Bihar Upper Primary Teacher 2024 question paper, TRE 3.0, Class 6 to 8, Mathematics and Science, page 53 of 56
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Bihar Upper Primary Teacher 2024 question paper, TRE 3.0, Class 6 to 8, Mathematics and Science, page 54 of 56
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Bihar Upper Primary Teacher 2024 question paper, TRE 3.0, Class 6 to 8, Mathematics and Science, page 55 of 56
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Bihar Upper Primary Teacher 2024 question paper, TRE 3.0, Class 6 to 8, Mathematics and Science, page 56 of 56
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Source: Bihar Public Service Commission. Question paper published by Bihar Public Service Commission.

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