Bihar Secondary Teacher 2024: TRE 3.0, Class 9 to 10, Mathematics
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12/MAV/M-2024-09 Booklet Series
Candidate’s Roll Number
E Serial No.
Question Booklet
LANGUAGE, GENERAL STUDIES AND MATHEMATICS
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.
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 other particulars in the space provided in the Answer 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 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 or question booklet and answer sheet have different series. If you find any
defect in this Booklet, 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.
309 ܶmZ X| : AZwXoem| H$m {hÝXr ê$nmÝVa Bg nwpñVH$m Ho$ ApÝV‘ n¥ð> na N>nm h¡&
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PART - I
(English Language)
Directions (Q. Nos. E-1 to E-5) Read the passage E-4. When did Amitabh got recognition as a movie
given below and answer the questions that follow : star in India?
(A) 1966
Amitabh Bachchan, popularly known as big B, was (B) 1969
born in Allahabad, Uttar Pradesh on 11 October 1942.
(C) 1973
He is an iconic actor whose career in Indian Cinema
(D) More than one of the above
has spanned four decades. His father H.R. Bachchan
(E) None of the above
was a well-known Hindi poet. (Bachchan is actually
his father’s pen name but has now become the family E-5. Which film of the following is Amitabh’s first
surname) Amitabh attended boys’ High School in film?
Allahabad, followed by Sherwood College in (A) ‘Zanjeer’
Nainital and earned a degree in science from Delhi (B) ‘Abhiman’
university. His first film was ‘Saat Hindustani’(1969). (C) ‘Saat Hindustani’
He became well-known as a movie star in 1973 (D) More than one of the above
after the success of ‘Abhimaan’ and ‘Zanjeer’ which (E) None of the above
was followed by his box office successes such as
Directions (Q. Nos. E-6 and E-7) : Fill in the blanks
‘Sholay’ ‘Amar Akbar Anthony’, ‘Trishul’, ‘Don’
with suitable articles like ‘a’ ‘an’ ‘the’ :
and “Deewar’. He often played the role of an angry
young man fighting a corrupt establishment, a theme E-6. The shadow of moon fills on ______ Earth.
that had tremendous appeal in India at that time. (A) an
(B) a
E-1. Which city is the birth place of Amitabh in
(C) the
India?
(D) More than one of the above
(A) Bombay
(E) None of the above
(B) Delhi
(C) Bangalore E-7. I have always wanted to study abroad, not
(D) More than one of the above only for ____ degree but also for the
(E) None of the above experience.
E-2. How long has Amitabh Bachchan dominated (A) an
Indian Cinema? (B) a
(A) Three decades (C) the
(B) Four decades (D) More than one of the above
(C) Two decades (E) None of the above
(D) More than one of the above
(E) None of the above E-8. First May 2024 is Wednesday, what day of
the week would be 9th of May?
E-3. From which university did Amitabh earn his (A) Friday
degree in science? (B) Thursday
(A) Aligarh Muslim University (C) Monday
(B) Banaras Hindu University (D) More than one of the above
(C) Punjab University (E) None of the above
(D) More than one of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 2
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(Urdu Language)
.U-12
19384
(A)
(B)
(C)
(D)
(E) 1953
.U-13
(A)
U-14 U-9
(B)
(C)
.U-9
(D)
(A)
(E) (B)
(C)
1953 .U-14
(D)
(E)
(A)
.U-10
(B)
(A)
(C) (B)
(D) (C)
(D)
(E)
(E)
.U-11
1941 15
(A)
1999 35
(B)
(C)
(D)
1964 (E)
12/MAV/M-2024-09/S-309-E 6
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.U-18 (2001) 1967 :"(1977)
(A)
1988
(B)
(C)
(D) 1988 1955
(E) 2004
1998 .U-19
(A) U-20 U-15
(B)
(C) .U-15
(D)
(A)
(E)
(B)
.U-20 (C)
(A) (D)
(B) (E)
(C)
(D)
.U-16
(E)
(A)
.U-21 (B)
(C)
(A) (D)
(B)
(E)
(C)
(D)
(E) .U-17
(A)
.U-22 (B)
(A)
(C)
(B)
(D)
(C)
(D) (E)
(E)
12/MAV/M-2024-09/S-309-E 7 [P.T.O.
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.U-27 .U-23
(A) (A)
(B) (B)
(C) (C)
(D) (D)
(E)
(E)
.U-28
.U-24
(A)
(A)
(B)
(B)
(C)
(C)
(D)
(E)
(D)
(E)
.U-29
(A) .U-25
(B) (A)
(C) (B)
(D) (C)
(E) (D)
(E)
.U-30
.U-26
(A)
(B)
(A)
(C)
(B)
(D)
(C)
(E)
(D)
(E)
12/MAV/M-2024-09/S-309-E 8
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B-24. òò!îîy¥éŸé¤ôy¥yîûóó þ›˜!Øþé韟Ÿé
(A) ö˜î¤èþyëû (A) ë%_«þ›˜
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(E) ’þzþ›öìîûîû ö†þyöìly!Øþ¥z lëû
(E) ’þzþ›öìîûîû ö†þyöìly!Øþ¥z lëû
12/MAV/M-2024-09/S-309-E 10
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òlyîû# xyîû þ›%îû&£ì !ô!¡öìëû öëéŸé¤yô!@ý̆þ ôyl%£ì– B-26. þ›%îûyöì” •þöìþ›yèþDéŸé†þy!¥!lîû ô)öì¡ öëéŸé˜,!ÜTèþ!D
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îöì¡öìSé– òëyîû ²Ì†þy¢ ¥öì•þ !î¡Áº ¥¡ ly– !î˜%Äöì•þîû
¥öìëûöìSé ŸŸŸé
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(A) lyîû#îû ²Ìy”¢!_«öì†þ
ö¤¥z ‹þ!†þ•þéŸéxyöì¡yîû ˜#!® !îFS%é!îû•þÐ lyîû#!‹þöì_îû
(B) þ›%îû&öì£ìîû !‹þ_¢!_«öì†þ
~¥z xyöì¡y îûî#wlyöìíîû †þ!îèþy£ìyëû òòôy™%ëÅóó ~¥z
(C) lyîû#îû !‹þ_¢!_« G ²Ìy”¢!_«öì†þ
òòôy™%ëÅóóöì†þ îûî#wlyí òò¡y!¡•þÄóó öíöì†þ þ›,í†þ
(D) ’þzþ›öìîûy_«=!¡îû ôöì™Ä ~öì†þîû öíöì†þ x!™†þ
†þöìîû !löìëûöìSélÐó
(E) ’þzþ›öìîûîû ö†þyöìly!Øþ¥z lëû
B-25. òòôyl%öì£ìîû ™ôÅóó î¡öì•þ îûî#wlyí öîyöìVþl韟Ÿé
B-30. òò¡y!¡•þÄóó ¢·!Øþîû î%Äêþ›!_ !lÁ¬îû*þ›é ŸŸŸé
(A) lyîû#éŸéþ›%îû&öì£ìîû !ô!¡•þ xy™Äy!d†þ ¤y™ly
(A) ¡!¡•þ + £ìøþÄ
(B) þ›%îû&öì£ìîû !‹þ_¢!_« G ²Ìy”¢!_«öì†þ
(B) ¡!¡•þ + ëê
(C) lyîû#éŸéþ›%îû&öì£ìîû !ô!¡•þ ¤yô!@ý̆þ ÷î!¢ÜTÄöì†þ
(C) ¡y!¡•þä + ë
(D) ’þzþ›öìîûy_«=!¡îû ôöì™Ä ~öì†þîû öíöì†þ x!™†þ
(D) ’þzþ›öìîûy_«=!¡îû ôöì™Ä ~öì†þîû öíöì†þ x!™†þ
(E) ’þzþ›öìîûîû ö†þyöìly!Øþ¥z lëû
(E) ’þzþ›öìîûîû ö†þyöìly!Øþ¥z lëû
12/MAV/M-2024-09/S-309-E 11 [P.T.O.
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PART - II
(GENERAL STUDIES)
31. A player makes 7 complete revolutions of a 3
circular path to complete a race of 2200 2
35. By what number should be divided
metres. The radius of the circular path is : 3
22 4
2
so that the quotient is ?
7 9
(A) 42 metres
2
(B) 45 metres (A)
3
(C) 50 metres
(D) More than one of the above 2
(B)
(E) None of the above 3
3
32. If the capacity of a cylindrical tank is 1848 m3 (C)
2
and the diameter of its base is 14 m, the depth (D) More than one of the above
22 (E) None of the above
of the tank is :
7
1
(A) 8 m 36. If x 5 , what is the value of x 4 14 ?
x x
(B) 12 m (A) 525
(C) 16 m (B) 527
(D) More than one of the above (C) 529
(E) None of the above (D) More than one of the above
(E) None of the above
1 th 37. A bag contains 5-rupee, 2-rupee and 1-rupee
33. If of a number is 30, what will be 62% of
8 coins in the ratio 2 : 3 : 4. The total value of all
that number? the coins is N2,000. How many coins of
(A) 181.3 2-rupee are there in the bag?
(B) 178.24 (A) 200
(B) 250
(C) 148.8
(C) 400
(D) More than one of the above
(D) More than one of the above
(E) None of the above (E) None of the above
34. The salary of an officer is increased by 25%. 38. The interior angle of a regular polygon exceeds
By what percent should the new salary be its exterior angle by 108º. How many sides
decreased to restore the original salary? does the polygon have?
(A) 10
(A) 25
(B) 9
(B) 22.5
(C) 8
(C) 20 (D) More than one of the above
(D) More than one of the above (E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 12
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39. Zinc Oxide is normally used in the 44. Velocity of sound at 15ºC and 380mm
manufacture of pressure is 340m. sec–1. If the pressure is
(A) Paints doubled without change of temperature, the
(B) Explosives velocity of sound would become
(C) Solvents (A) 680m. sec–1
(D) More than one of the above (B) 170m. sec–1
(E) None of the above (C) 190m. sec
(D) 340m. sec–1
(E) None of the above
40. Lenz’s law is derived from the law of
conservation of
(A) Magnetism 45. If a bacterium cell divides in every 15 min,
(B) Momentum how many bacteria will be formed in 2 hours.
(C) Charge (A) 8
(D) More than one of the above (B) 16
(C) 64
(E) None of the above
(D) 256
(E) None of the above
41. Glycogen stored in liver and muscles of human
body is in form of
(A) Monosaccharide 46. Plants and animal cell differ in which of the
following structure?
(B) Polysaccharide
(A) Enzymes
(C) Protein
(B) Nuclei
(D) More than one of the above
(C) Cell wall
(E) None of the above
(D) More than one of the above
(E) None of the above
42. In which of the following blood has defective
haemoglobin?
47. According to the recent report of forbes,
(A) Haematoma
which is the strongest currency in the world?
(B) Sickle cell Anaemia
(A) Omani Rial
(C) Haemophilia (B) Kuwaiti Dinar
(D) More than one of the above (C) Bahrain Dinar
(E) None of the above (D) More than one of the above
(E) None of the above
43. In which of the following medicine production,
ethyl alcohol can be used? 48. In which city of Maharashtra did PM
(A) Antiseptic Narendra Modi launch 8 AMRUT projects?
(B) Antipyretic (A) Kollam
(C) Anti-allergic (B) Baroda
(D) More than one of the above (C) Solapur
(E) None of the above (D) More than one of the above
(E) None of the above
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49. IIT Madras has tied up with whom to launch 54. India has acquired the right to operate the
e Mobility Simulation Lab? foreign Sittwe Port, it is in which country?
(A) Altair (A) Sri Lanka
(B) Starlink (B) Bangladesh
(C) Myanmar
(C) Farber Speciality Lab
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
55. Mangrove forest of Ganga Delta is called
50. Who won the Best Actor Award at the (A) Sunderban
Academy Awards 2024 (Oscars)? (B) Sundergarh
(A) Dwayne Johnson (C) Surendranagar
(D) More than one of the above
(B) Cillian Murphy
(E) None of the above
(C) Tom Cruise
(D) More than one of the above 56. Which river is frequently changing its course
(E) None of the above of flow in Bihar
(A) Gandak
(B) Kosi
51. Who was recently selected as the ICC (C) Punpun
Women’s T20i Cricketer of the year 2023? (D) More than one of the above
(A) Smriti Mandhana (India) (E) None of the above
(B) Nat Seiver - Brunt (England)
(C) Hayley Mathews (West Indies) 57. Plant roots gets water from soil as -
(A) Bound water
(D) More than one of the above
(B) Hygroscopic water
(E) None of the above (C) Capillary water
(D) More than one of the above
52. Who was Crowned Miss World 2024 in (E) None of the above
Mumbai?
58. How much equatorial diameter is larger than
(A) Miss Czech Kristina Pishkova
polar diameter?
(B) Miss India Sini Shetty (A) 36 km
(C) Miss Lebanon Yasmina Zaytoun (B) 43 km
(D) More than one of the above (C) 49 km
(E) None of the above (D) More than one of the above
(E) None of the above
53. In which country will the clean Energy Investor 59. The Indian Standard Time (IST) is taken at
Forum be organised by IPEF? which longitude -
(A) France (A) 82.5º E
(B) Singapore (B) 78.5º E
(C) Spain (C) 87.5º E
(D) More than one of the above (D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 16
Text of page 18
60. In India ‘Green revolution’ is known to credit 66. Who intervened in a dispute between the
to whom? workers and mill owners of Ahmedabad in
(A) Dr. V. Kurian 1918?
(B) Dr. M.S. Swaminathan (A) Vallabhbhai Patel
(C) Sri. S.L. Bahuguna (B) Mahatma Gandhi
(D) More than one of the above (C) Jamshedji Tata
(E) None of the above (D) More than one of the above
(E) None of the above
61. Highest Mountain peak of India is known as
(A) Everest 67. Name the left-wing leader of Bihar Provincial
(B) Kanchenjunga Kisan Sabha who popularised this in Bihar?
(C) K-2 (A) Karyanand Sharma
(D) More than one of the above (B) Wadhwa Ram
(E) None of the above (C) P.C. Joshi
(D) More than one of the above
62. Indian continent was earlier part of (E) None of the above
(A) Gondwanaland
(B) Tethys 68. Muddiman Committee was appointed to
(C) Pangea report on the working of the
(D) More than one of the above (A) Dyarchy
(E) None of the above (B) Communal representation
(C) Federalism
63. Who led the Revolt of 1857 in Bihar? (D) More than one of the above
(A) Tatya Tope (E) None of the above
(B) Kunwar Singh
(C) Nana Saheb 69. “He was a great unifier in India who taught
(D) More than one of the above us not only bare tolerance of others but the
(E) None of the above willing acceptance of them as our friends and
comrades in common undertakings” who
64. The spiritual side of nationalism was voiced said it?
by (A) Subhash Chandra Bose
(A) Raja Ram Mohan Roy (B) Balgangadhar Tilak
(B) Swami Shraddhanand (C) Rajendra Prasad
(C) Swami Vivekananda (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. Who proceeded to organise the Provisional
65. Which newspaper propagated strong Government of Free India outside the
nationalist views during India’s freedom country?
struggle? (A) Raja Mahendra Pratap
(A) Pioneer (B) Rash Behari Bose
(B) Amrit Bazar Patrika (C) Subhash Chandra Bose
(C) Statesman (D) More than one of the above
(D) More than one of the above (E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 18
Text of page 20
PART - III
(MATHEMATICS)
71. The value of x that satisfies xx = 7x + 49 is 74. The sum of all the integers from 21 to 100 is
(A) 7 (A) 5050
(B) 49 (B) 4860
(C) 21 (C) 4840
(D) More than one of the above (D) More than one of the above
(E) None of the above (E) None of the above
72. The quadratic equation whose roots are
9 64
reciprocal of the roots of ax2 + bx + c = 0 is 75. The value of is
0.04
(A) cx2 + bx + a = 0
(A) 120
(B) bx2 + cx + a = 0
(B) 240
(C) ax + cx + b = 0
2
(C) 1200
(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 remainder when x25 + 1 is divided by
x + 1 is 76. a3 – b3 is equal to
(A) 0 (A) (a – b)3 – 3ab(a – b)
(B) 1 (B) (a – b)3 + 3ab(a – b)
(C) –1 (C) (a + b)3 – 3ab(a + b)
(D) More than one of the above (D) More than one of the above
(E) None of the above (E) None of the above
12/MAV/M-2024-09/S-309-E 20
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77. If the equation x2 + x(2x – m) + 12 = 0 has x y x
equal and real roots, then the value of m is 80. If 3 , then value of is
x y y
(A) 12
1
(A)
(B) –12 2
(C) +1 2
(B)
1
(D) More than one of the above
(E) None of the above 1
(C)
3
(D) More than one of the above
78. The rational number in the set of numbers
(E) None of the above
1
3 3 , 2 , 4 , 127 is
81. The value of sin2 40º + sin2 50º is
(A) 4
(A) 1
(B) 2 (B) 0
(C) (C) 2sin2 40º
127
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
82. The value of
79. The HCF of 2x3 + 2x, x2 + 1, x4 – 1 is
sinx sin(2 + x) sin(4 + x) ....... sin(2n + x)
is
(A) x+1
(A) n sin x
(B) x2 + 1
(B) sinn x
(C) 1
(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
12/MAV/M-2024-09/S-309-E 22
Text of page 24
83. The shadow of a 100 metre long tower is 87. If cos 50º = 0.6428, then the value of sin 40º is
100 3 . Then the angle between the shadow
(A) 1
and upper end of the tower is
(A) 60º (B) 0
(B) 45º
(C) 0.6428
(C) 30º
(D) More than one of the above (D) More than one of the above
(E) None of the above
(E) None of the above
84. Cosine of sum of an angle and its supplementary
angle is
cos 90 º sin 0 º
(A) 1 88. The value of is
cot 30 º
(B) 0
(C) –1 1
(D) More than one of the above (A)
2
(E) None of the above
(B) 0
(C) 1
cos 2
85. The value of sin is
sin (D) More than one of the above
(A) sec
(E) None of the above
(B) cosec
(C) tan
(D) More than one of the above
89. If sin A + sin2 A = 1, then cos2A + cos4A is
(E) None of the above
(A) 1
1 sin (B) –1
86. The value of is equal to
1 sin
(C) 2
(A) sec – tan
(D) More than one of the above
(B) sec + tan
(C) tan – sec (E) None of the above
(D) More than one of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 24
Text of page 26
90. The value of sin2 30º + 2tan2 60º – 5cos45º is 93. The relation between AM, GM and HM is
17 (A) AM > GM > HM
(A)
4 (B) AM < GM < HM
(B) 4 (C) AM > GM < HM
15 (D) More than one of the above
(C)
4
(E) None of the above
(D) More than one of the above
(E) None of the above
94. The mean value of squares of first n natural
numbers is
91. If the median and mean of a frequency
distribution are 28 and 30 respectively, then n n 1
(A)
the mode is 2
(A) 24
n n 1 2n 1
(B)
(B) 34 6
(C) 16
n 1 2n 1
(D) More than one of the above (C)
6
(E) None of the above
(D) More than one of the above
(E) None of the above
92. Probability of getting a number which is
divisible by 2 and 3 from the set of natural
number is
95. Probability of getting six different faces by
throwing six dies is
1
(A)
6
6!
(A)
2 66
(B)
3
66
(B)
1 6!
(C)
3
(C) 1
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 26
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96. If a coin is tossed twice, the probability of 1
getting at best one head is 99. The probability that A solves a problem is
2
1 2
(A) and that of B is . The probability that the
4 3
3 problem is solved is
(B)
4 1
(A)
3
1
(C) 1
2 (B)
6
(D) More than one of the above
(E) None of the above 5
(C)
6
(D) More than one of the above
97. A husband and wife appear in an interview
(E) None of the above
for two vacancies in the same post. The
1
probability of husband’s selection is and 100. The median of the data 3, 7, 2, 5, 7, 1, 9, 6,
7 5 is
1 (A) 5
that of wife’s selection is . Then the (B) 7
5
probability that both of them are selected is (C) 9
(D) More than one of the above
12
(A) (E) None of the above
35
1 101. Find the area of the shaded region, if the radius
(B)
35 of each circle is 1 cm.
11
(C) 1234567
35 1234567
1234567
1234567
1234567
(D) More than one of the above 1234567
1234567
(E) None of the above
98. The mode of the sets of the values 11, 13,
(A) 4 cm2
15, 13, 17, 19, 17 is
(A) 17 (B) 2 3 cm 2
(B) 13
(C) 15
(C) 5 cm2
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 28
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102. If 4 men and 7 women can do a work in 60 105. The ratio of water that is added to spirit to
days. Then in how many days will 8 men and gain 25% by selling it at cost price is
7 women finish the same work?
(A) 1:4
(A) 40 days
(B) 4:1
(B) 30 days
(C) 3:4
(C) 20 days
(D) More than one of the above (D) More than one of the above
(E) None of the above (E) None of the above
103. A man sells an article at a profit of 25%. If he 106. If 11 pencils are bought for ` 10 and 10
had bought it at 20% and sold it for ` 10.50 pencils are sold for ` 11; then the gain is :
less, he would have gained 30%. Then the
cost price of the article is (A) 18%
(A) ` 50
(B) 16%
(B) ` 40
(C) 21%
(C) ` 30
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
104. A man rows 30 km downstream and 18 km 107. If each of the dimensions of a rectangle is
upstream taking 5 hours each time. Then the increased by 100%, then its area is increased
velocity of the current is by
(A) 2.1 km/h (A) 100%
(B) 1.2 km/h (B) 300%
(C) 3.1 km/h (C) 400%
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 30
Text of page 32
108. The height of a cone is 4.8 cm and the diameter 111. If 80% of A = 50% of B and B = x % of A.
of its base is 4 cm. Then the slant height of it Then the value of x is
is
(A) 4.2 cm (A) 400
(B) 5.2 cm (B) 300
(C) 6.2 cm
(C) 160
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
109. If perimeter of a circle is equal to the
perimeter of a square, then ratio of their areas
is 112. The perimeter of a rhombus is 100 cm. If one
of its diagonals is 14 cm, then its area is
(A) 14 : 11
(A) 144 cm2
(B) 13 : 10
(B) 225 cm2
(C) 11 : 14
(C) 336 cm2
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
110. The mean of five numbers is 18. If one number
is excluded their mean is 16. Then the 113. The product of two numbers is 120 and sum
excluded number is of their squares is 289. Then the sum of the
two numbers is
(A) 25
(A) 23
(B) 26 (B) 7
(C) 27 (C) 13
(D) More than one of the above (D) More than one of the above
(E) None of the above (E) None of the above
12/MAV/M-2024-09/S-309-E 32
Text of page 34
114. A 120 m long train is travelling at a speed of 117. If the radius and height of a right circular cone
90 km/h. It will cross a railway platform of are increased by 20%, then its volume will be
230 m long in increased by
(A) 10 sec. (A) 72.8%
(B) 15 sec. (B) 60%
(C) 20 sec. (C) 40%
(D) More than one of the above (D) More than one of the above
(E) None of the above (E) None of the above
115. The area of the ring between two concentric 118. The internal bisectors of A, B and C
circles whose circumferences are 88 cm and of a triangle ABC meet at O. If A = 80º,
132 cm is
then the value of BOC is
(A) 780 cm2
(A) 150º
(B) 770 cm2
(B) 130º
(C) 660 cm 2
(C) 100º
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
116. The perimeter of an equilateral triangle having 119. On an amount of money the difference
between simple interest and compound
area 400 3 sq.m is
interest is ` 15 in 2 years at the rate of interest
5% per annum. Then the amount is
(A) 120 m
(A) ` 6,000
(B) 150 m
(B) ` 5,000
(C) 90 m
(C) ` 5,500
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 34
Text of page 36
120. A tank has two taps A and B. Tap A can fill it 123. Present population of a town is 1,76,400. If
in 5 minutes and tap B can make it empty in the rate of increase is 5% per annum, its
10 minutes. If both the taps are open population after two years will be
simultaneously the tank will fill in
(A) 1,90,000
(A) 10 minutes
(B) 2,00,000
(B) 16 minutes (C) 1,94,481
(C) 14 minutes (D) More than one of the above
(D) More than one of the above (E) None of the above
(E) None of the above
9
124. The simple interest of principal is of itself
10
121. A train passes a pole in 8 seconds and a after 4½ years. Then the rate of interest is
platform of 120 meter long in 20 seconds.
The length of the train is (A) 20%
(A) 80 m (B) 10%
(B) 120 m (C) 5%
(D) More than one of the above
(C) 150 m
(E) None of the above
(D) More than one of the above
(E) None of the above
125. 2 men and 3 boys can do a work in 6 days
and 8 men and 5 boys can do this same work
in 2 days. Working ratio of a man to a boy is
122. In a parallelogram
(A) 1:2
(A) Opposite angles are equal
(B) 2:1
(B) Opposite sides are equal (C) 3:1
(C) Only two sides are parallel (D) More than one of the above
(D) More than one of the above (E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 36
Text of page 38
126. A cone, a hemisphere and a cylinder have 130. Two chords of a circle of radius 8 cm are
same base and equal height. The ratio of 6 cm each. If one chord is at a distance 3.5
volumes is cm from the centre, then the other is at a
(A) 3:2:4 distance of
(B) 1:2:3 (A) 5 cm
(C) 1:3:2
(B) 4 cm
(D) More than one of the above
(E) None of the above (C) 3.5 cm
(D) More than one of the above
127. Number of years required for the compound
interest of ` 1,000 at the rate of 10% to (E) None of the above
become ` 210 is
(A) 4 years
(B) 2 years 131. How many rods of diameter 10 cm and length
1.4 m will be formed by melting a rod of radius
(C) 3 years 7 cm and length 10 m.
(D) More than one of the above
(A) 14
(E) None of the above
(B) 18
128. If the interior angles of a regular polygon are (C) 20
ten times of its exterior angles, then the sides
of the polygon are (D) More than one of the above
(A) 12
(E) None of the above
(B) 18
(C) 22
(D) More than one of the above
132. The side of a regular hexagon is 8 m. Then its
(E) None of the above area is
129. After the rebate of 12.5% on the selling price
(A) 100 3 m2
of ` 12,560. The goods should be sold at
(B) 90 3 m2
(A) ` 11,000
(B) ` 12,000 (C) 96 3 m2
(C) ` 10,990
(D) More than one of the above (D) More than one of the above
(E) None of the above (E) None of the above
12/MAV/M-2024-09/S-309-E 38
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133. If the length of a cylindrical pipe is 70 cm and 136. On selling 20 chairs, Hari gets a profit equal
its diameter is 2.2 cm, and 1 cm3 of the pipe to the selling price of 5 chairs. The percentage
weighs 10 gm, then its weight is of gain is
(A) 2662 gm 1
(A) 33 %
3
(B) 1662 gm
2
(C) 3517 gm (B) 66 %
3
(D) More than one of the above 1
(C) 66 %
3
(E) None of the above
(D) More than one of the above
(E) None of the above
134. The product of roots of the quadratic equation
2 x 2 5 3 x 6 0 is 137. A conical tent of height 24 m and radius of
its base 7 m is required to cover by cloth. If
(A) 12 breadth of the cloth is 50 m, then its length is
(B) 3 (A) 9m
(B) 11 m
(C) 5
(C) 12 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
138. The compound interest of an amount for 2
135. If the diamter of a wheel of a cycle is 70 cm, years with an interest 4% per year is ` 2,448.
in 1720 rounds it will cover Then the simple interest of that amount with
same interest rate and for same 2 years is :
(A) 3784 m
(A) ` 2,500
(B) 7568 m
(B) ` 2,400
(C) 1892 m (C) ` 2,300
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 40
Text of page 42
139. In 200 lt mixture of milk and water, the 142. If the rate of sugar is increased by 25%, in
amount of water is 15%. The amount of milk order to not increase the expenditure on sugar
that is required to be added into the mixture a consumer has to reduce the use of sugar.
so that the amount of milk will be 87.5% is
(A) 10%
(A) 30 lt
(B) 35 lt (B) 20%
(C) 40 lt (C) 18%
(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. Three metalic balls of radius 6, 8 and r cm
respectively are melted and a new ball is 143. A square of area 121 cm2 is made by a copper
formed. If the radius of the new ball is 12 cm, wire. If a circle is made with the same wire,
then the value of r is then its radius is
(A) 10 cm (A) 7 cm
(B) 9 cm
(B) 10 cm
(C) 8 cm
(C) 11 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
141. A and B complete a work in 12 days and 15
days respectively. They worked for 4 days
together and then A left. The remaining portion 144. If radius of a circle is increased by 50%, then
of the work will be completed by B in its area will be increased by
(A) 20 (A) 50%
3 days
(B) 75%
25
(B) days
3 (C) 125%
(C) 6 days (D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 42
Text of page 44
145. Areas of two similar triangles are 81 cm2 and 148. If 40% of 25% of a number is 80, then its
49 cm2 respectively. The ratio of their 60% is
corresponding heights is
(A) 480
(A) 7:9
(B) 450
(B) 9:7
(C) 400
(C) 81 : 49
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
149. If A, B and C complete a work in 30 days
146. Digging price of a tube well of depth 280 m and A and B complete it in 50 days working
and diameter 3 m with the rate ` 3.60 / cubic together. Then C alone will complete it in
meter is
(A) 60 days
(A) ` 7,128
(B) 75 days
(B) ` 2,728
(C) 80 days
(C) ` 7,282
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
150. The ratio of ages of father and son is 5 : 2. If
147. The number that reduces the ratio 49 : 68 to the difference of their ages is 27 years, then
the ratio 6 : 7 by adding to each of the number the age of father after 6 years will be
of the ratio is
(A) 49 years
(A) 65
(B) 45 years
(B) 55
(C) 51 years
(C) 75
(D) More than one of the above
(D) More than one of the above
(E) None of the above
(E) None of the above
12/MAV/M-2024-09/S-309-E 44
Text of page 1
Bihar Public Service Commission
Exam Date- 21-07-2024
Advt. No. 22/2024, Mathematics, Class 9-10
Revised Final Answer key
SET-E ANSWER KEY SET-F ANSWER KEY SET-G ANSWER KEY SET-H ANSWER KEY REASON
E-1 E E-4 E E-3 E E-4 E
E-2 B E-5 B E-4 C E-5 A
E-3 E E-6 E E-5 E E-1 E
E-4 C E-7 A E-1 B E-2 C
E-5 C E-8 A E-2 B E-3 C
E-6 C E-1 A E-7 B E-7 C
E-7 B E-2 B E-8 C E-6 A
E-8 B E-3 B E-6 C E-8 A
H-9 C H-15 A H-19 B H-16 C
H-10 A H-16 C H-20 A H-17 B
H-11 C H-17 A H-21 B H-18 C
H-12 B H-18 B H-22 C H-19 A
H-13 E H-19 E H-23 E H-20 E
H-14 B H-20 B H-24 C H-21 A
H-15 B H-21 B H-25 C H-22 A
H-16 E H-22 E H-26 E H-23 E
H-17 A H-23 C H-27 A H-24 B
H-18 C H-24 A H-28 B H-25 C
H-19 A H-25 C H-29 A H-26 B
H-20 C H-26 A H-30 B H-27 C
H-21 C H-27 A H-9 B H-28 C
H-22 B H-28 B H-10 C H-29 A
H-23 D H-29 D H-11 D H-30 D
H-24 D H-30 D H-12 D H-9 D
H-25 D H-9 D H-13 D H-10 D
H-26 B H-10 B H-14 C H-11 A
H-27 B H-11 B H-15 C H-12 A
H-28 A H-12 C H-16 A H-13 B
H-29 C H-13 A H-17 B H-14 C
H-30 B H-14 B H-18 C H-15 A
U-9 B U-15 B U-19 C U-16 A
U-10 A U-16 C U-20 A U-17 B
U-11 C U-17 A U-21 B U-18 C
U-12 C U-18 A U-22 B U-19 C
U-13 A U-19 C U-23 A U-20 B
U-14 B U-20 B U-24 C U-21 A
U-15 B U-21 B U-25 C U-22 A
U-16 A U-22 C U-26 A U-23 B
U-17 A U-23 C U-27 A U-24 B
U-18 A U-24 C U-28 A U-25 B
U-19 DELETED U-25 DELETED U-29 DELETED U-26 DELETED
U-20 B U-26 B U-30 C U-27 A
U-21 C U-27 A U-9 B U-28 C
U-22 B U-28 B U-10 C U-29 A
U-23 A U-29 C U-11 A U-30 B
U-24 B U-30 B U-12 C U-9 A
U-25 B U-9 B U-13 C U-10 A
U-26 A U-10 C U-14 A U-11 B
U-27 C U-11 A U-15 B U-12 C
Page 1 of 4
Text of page 2
SET-E ANSWER KEY SET-F ANSWER KEY SET-G ANSWER KEY SET-H ANSWER KEY REASON
As per firozul lughat (famous
urdu dictionary), the "Tedhi
Kheer" is said as Zarbul
Masal but Zarbul Masal is an
Arabic word and in urdu it is
U-28 D U-12 D U-16 D U-13 D also said " Kahawat". Hence
Zarbul Masal & Kahawat are
synonyms. So Answer in
option A & B both are correct,
therefore the correct answer
is option " D".
U-29 B U-13 B U-17 C U-14 A
U-30 C U-14 A U-18 B U-15 C
B-9 E B-25 E B-28 E B-21 E
B-10 B B-26 B B-29 C B-22 A
B-11 B B-27 B B-30 C B-23 A
B-12 C B-28 A B-9 B B-24 C
B-13 D B-29 D B-10 D B-25 D
B-14 C B-30 A B-11 B B-26 C
B-15 B B-9 B B-12 C B-27 A
B-16 A B-10 C B-13 A B-28 B
B-17 D B-11 D B-14 D B-29 D
B-18 B B-12 B B-15 C B-30 A
B-19 C B-13 A B-16 B B-9 C
B-20 B B-14 B B-17 C B-10 A
B-21 A B-15 C B-18 A B-11 B
B-22 A B-16 C B-19 A B-12 B
B-23 A B-17 C B-20 A B-13 B
B-24 B B-18 B B-21 C B-14 A
B-25 C B-19 A B-22 B B-15 C
B-26 A B-20 C B-23 A B-16 B
B-27 A B-21 C B-24 A B-17 B
B-28 C B-22 A B-25 B B-18 C
B-29 E B-23 E B-26 E B-19 E
B-30 A B-24 C B-27 A B-20 B
31 C 51 A 41 B 61 C
32 B 52 B 42 C 62 A
33 C 53 A 43 B 63 C
34 C 54 A 44 B 64 C
35 B 55 B 45 C 65 A
36 B 56 B 46 C 66 A
37 E 57 E 47 E 67 E
38 A 58 C 48 A 68 B
39 A 59 C 49 A 69 B
40 E 60 E 50 E 70 E
41 B 61 B 51 C 31 A
42 B 62 B 52 C 32 A
43 A 63 C 53 A 33 B
44 D 64 D 54 D 34 D
45 D 65 D 55 D 35 D
46 C 66 A 56 B 36 C
47 B 67 B 57 C 37 A
48 C 68 A 58 B 38 C
49 A 69 C 59 A 39 B
50 B 70 B 60 C 40 A
51 C 31 A 61 B 41 C
52 A 32 C 62 A 42 B
53 B 33 B 63 C 43 A
54 C 34 A 64 B 44 C
55 A 35 C 65 A 45 B
56 B 36 B 66 C 46 A
57 C 37 A 67 B 47 C
58 B 38 B 68 C 48 A
59 A 39 C 69 A 49 B
60 B 40 B 70 C 50 A
61 C 41 A 31 B 51 C
Page 2 of 4
Text of page 3
SET-E ANSWER KEY SET-F ANSWER KEY SET-G ANSWER KEY SET-H ANSWER KEY REASON
62 DELETED 42 DELETED 32 DELETED 52 DELETED
63 B 43 B 33 C 53 A
64 C 44 A 34 B 54 C
65 B 45 B 35 C 55 A
66 B 46 B 36 C 56 A
67 A 47 C 37 A 57 B
68 A 48 C 38 A 58 B
69 E 49 E 39 E 59 E
70 B 50 B 40 C 60 A
71 B 111 B 91 C 141 A
72 A 112 C 92 A 142 B
73 A 113 C 93 A 143 B
74 C 114 A 94 B 144 C
75 A 115 C 95 A 145 B
76 B 116 B 96 C 146 A
77 D 117 D 97 D 147 D
78 A 118 C 98 A 148 B
79 B 119 B 99 C 149 A
80 B 120 B 100 C 150 A
81 A 121 C 101 A 71 B
82 E 122 E 102 E 72 E
83 C 123 A 103 B 73 C
84 Deleted 124 Deleted 104 Deleted 74 Deleted
85 B 125 B 105 C 75 A
86 A 126 C 106 A 76 B
87 C 127 A 107 B 77 C
88 B 128 B 108 C 78 A
89 A 129 C 109 A 79 B
90 E 130 E 110 E 80 E
91 A 131 C 111 A 81 B
92 A 132 C 112 A 82 B
93 A 133 C 113 A 83 B
94 C 134 A 114 B 84 C
95 A 135 C 115 A 85 B
96 B 136 B 116 C 86 A
97 B 137 B 117 C 87 A
98 D 138 D 118 D 88 D
99 C 139 A 119 B 89 C
100 A 140 C 120 A 90 B
101 A 141 C 121 A 91 B
Data incorrect, Hence the
102 Deleted 142 Deleted 122 Deleted 92 Deleted
question is deleted.
Language of question in
English & Hindi version
103 Deleted 143 Deleted 123 Deleted 93 Deleted
differs & hence question is
deleted.
104 B 144 B 124 C 94 A
105 A 145 C 125 A 95 B
106 C 146 A 126 B 96 C
107 B 147 B 127 C 97 A
108 B 148 B 128 C 98 A
109 A 149 C 129 A 99 B
110 B 150 B 130 C 100 A
111 C 71 A 131 B 101 C
112 C 72 A 132 B 102 C
113 A 73 C 133 A 103 B
114 E 74 E 134 E 104 E
115 B 75 B 135 C 105 A
116 A 76 C 136 A 106 B
117 A 77 C 137 A 107 B
118 B 78 B 138 C 108 A
119 A 79 C 139 A 109 B
120 A 80 C 140 A 110 B
Page 3 of 4
Text of page 4
SET-E ANSWER KEY SET-F ANSWER KEY SET-G ANSWER KEY SET-H ANSWER KEY REASON
121 A 81 C 141 A 111 B
122 D 82 D 142 D 112 D
123 C 83 A 143 B 113 C
124 A 84 C 144 A 114 B
125 B 85 B 145 C 115 A
126 B 86 B 146 C 116 A
127 B 87 B 147 C 117 A
128 C 88 A 148 B 118 C
129 C 89 A 149 B 119 C
130 Deleted 90 Deleted 150 Deleted 120 Deleted
131 A 91 C 71 A 121 B
132 C 92 A 72 B 122 C
133 A 93 C 73 A 123 B
134 B 94 B 74 C 124 A
135 A 95 C 75 A 125 B
136 A 96 C 76 A 126 B
137 B 97 B 77 C 127 A
138 B 98 B 78 C 128 A
139 C 99 A 79 B 129 C
140 A 100 C 80 A 130 B
141 C 101 A 81 B 131 C
142 B 102 B 82 C 132 A
143 A 103 C 83 A 133 B
144 C 104 A 84 B 134 C
145 B 105 B 85 C 135 A
146 A 106 C 86 A 136 B
147 A 107 C 87 A 137 B
148 A 108 C 88 A 138 B
149 B 109 B 89 C 139 A
150 C 110 A 90 B 140 C
Page 4 of 4Page 1 of 48
Source: Bihar Public Service Commission. Question paper published by Bihar Public Service Commission.