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ROLL NUMBER

No. of question: 150

No. of printed pages: 22

UPSSSC Conductor Exam

MODEL PAPER SET NO. 1

Time: 3 Hours

Maximum Marks: 300

GENERAL INSTRUCTIONS TO THE EXAMINEES:

1) You have to enter ROLL number on the test booklet in the Box alongside. Do not

write Anything else on the Test Booklet.

2) This Test Booklet contains 150 items (Questions). Each item comprises four

responses (answer).

You will select the response which you want to mark on the Answer Sheet .In case

you feel that there is more than one correct response, Mark the response which you

consider the best, in any case, Choose only one response for each question.

3).All Questions (Items) Carry Equal Marks

4).All the questions are compulsory.

5).Sheets for rough are appended in the Test Booklet at the end.

6).You should treat this like the actual UPSSSC Conductor Model paper Exam

Question Paper.

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General Knowledge

1. Which of the following Forts was not built in Akbar’s time?

a) Agra Fort

b) Lahore Fort

c) Purana Qila

d) Allahabad Fort

2. In whose reign, the peacock (Mayur) throne was constructed?

a) Humayun

b) Akbar

c) Shahjahan

d) Babur

3. Which of the following building does not belong to the period of Aurangzeb?

a) Moti mosque in Agra Fort

b) Bibi Ka Makbara

c) Tomb of Rabia-ud-Durrani

d) Badshahi Mosque of Lahore

4. The Moti Masjid at Agra Fort was built by Shahjahan in honour of who among the following?

a) Jahangir

b) Jahanara Begum

c) Mumtaz Mahal

d) Asaf Khan

5. Dome mountain are the result of

a) Intrusion of magma

b) Folding

c) Frictions at the joints of the rocks

d) Faulting

6. Creators or calderas are –

a) Rift valley

b) Hollows created by removed of volcanic cones

c) Sink holes

d) Pot holes

7. A volcanic eruption is most likely to be violent cones

a) The volcano is near to the sea

b) The neck of the volcano is sealed by a plug

c) The lava is viscous

d) The lava reaches the surface through a fissure

8. The pass located at the southern end of the Nilgiri Hills in south India is called?

a) the Palghat gap

b) the Bhorghat pass

c) the Thalgat pass

d) the Bolan pass

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9. Who has been appointed as the new chairman of the Central Board of Indirect taxes and Customs (CBIC)?

a) John Joseph

b) Vanaja N. Sarna

c) Mahender Singh

d) S Ramesh

10. Who has been appointed as the acting Chairman of the Union Public Service Commission (UPSC)?

a) Arvind Saxena

b) Sudha Jain

c) Kirti Kumar

d) Omi Agrawal

11. Pappu Karki, the popular Kumaoni folk singer has passed away. He was a native of which state?

a) Jammu & Kashmir

b) Himachal Pradesh

c) Uttarakhand

d) Assam

12. India’s first-ever national police museum will be established in which city?

a) Chennai

b) Delhi

c) Nagpur

d) Kolkata

13. The Central Vigilance Commission (CVC) is in news for appointing Sharad Kumar as new Vigilance Commissioner. As per which committee’s recommendations, the CVC was set up?

a) Nittoor Srinivasa Rau committee

b) Tejendra Mohan Bhasin committee

c) KV Chowdary committee

d) K. Santhanam committee

14. Which country will host the 45th G7 summit 2019?

a) Italy

b) Germany

c) France

d) Canada

15. Which country’s women cricket team has clinched the Asia Cup Twenty-20 tournament 2018?

a) South Korea

b) Bangladesh

c) India

d) Pakistan

16. Who has won the men’s singles French Open tennis tournament 2018?

a) Novak Djokovic

b) Dominic Thiem

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c) Roger Federer

d) Rafael Nadal

17. Which country’s football team has won the 2018 Intercontinental Cup football title?

a) India

b) Sri Lanka

c) Kenya

d) Argentina

18. Shantaram Laxman Naik, who passed away recently, was the former Congress chief of which state?

a) Maharashtra

b) Goa

c) Bihar

d) Karnataka

19. The Maratha and The Kesri were the two main newspapers started by which of the following people?

a) Lala Lajpat Rai

b) Gopal Krishna Gokhale

c) Bal Gangadhar Tilak

d) Madan Mohan Malviya

20. National emergency arising out of the war, armed rebellion or external aggression is dealt under which of the following articles?

a) Article 280

b) Article 352

c) Article 356

d) Article 370

21. Which of the following personalities is considered to be the originator of the Sankhya philosophy?

a) Bharat Muni

b) Kapil Muni

c) Adi Shankaracharya

d) Agastya

22. Which of the following personalities from India is the only winner of a Special Oscar in the history of Indian Cinema so far?

a) Mrinal Sen

b) Shyam Bengal

c) Satyajit Ray

d) Mira

23. Mahatma Gandhi founded which of the following newspapers in 1903 at South Africa?

a) Indian Opinion

b) Harijan

c) Indian Speaker

d) India News

24. Which of the following was the author of the Arthashastra?

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a) Kalhan

b) Visakhadatta

c) Bana Bhatta

d) Chanakya

25. The Chauri Chaura incident took place in 1922 and finds prominence in India’s national movement. Can you identify the state in which Chauri Chaura is located?

a) Maharashtra

b) Uttar Pradesh

c) Rajasthan

d) Gujarat

26. Which of the following positions was held by Mr. H.J. Kania for the first time in the history of India?

a) Chief Justice of the Supreme Court of India

b) Attorney-General of India

c) Solicitor-General of India

d) None of them

27. Who among the following is known as “The Saint of Gutters”?

a) Baba Amte

b) Mother Teresa

c) Anna Hazare

d) None of these

28. Which of the following is the capital of Ethiopia?

a) Abuja

b) Dar es Salaam

c) Addis Ababa

d) Harare

29. Who among the following got the Bharat Ratna award before becoming the president of India?

a) R. Venkataraman

b) Dr. Rajendra Prasad

c) Dr. Zakir Hussian

d) W. Giri

30. Who is the first non-Indian to receive the Bharat Ratna?

a) Martin Luther King

b) Mother Teresa

c) Khan Abdul Ghaffar Khan

d) Aubin

Mental Ability 31. A candidate attempted 12 questions and secured full marks in all of them. If he obtained

60% in the test and all questions carried equal marks, then what is the number of

questions in the test?

a) 36

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b) 30

c) 25

d) 20

32. A cuboid has six sides of different colours. The red side is opposite to black. The blue side

is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which

one of the following would be the opposite to brown?

a) Red

b) Black

c) White

d) Blue

33. A man fills a basket with eggs in such a way that the number of eggs added on each

successive day is the same as the number already present in the basket. This way the

basket gets completely filled in 24 days. After how many days the basket was 1 / 4th full?

a) 6

b) 12

c) 17

d) 22

34. A person has 4 coins each of different denomination. What is the number of different sums

of money the person can form (using one or more coins at a time)? [UPSC 2009(CS-P)]

a) 16

b) 15

c) 12

d) 11

35. A person traveled a distance of 50 km in 8 hours. He covered a part of the distance on foot

at the rate of 4 km per hour and a part on a bicycle at the rate of 10 km per hour. How

much distance did he travel on foot?

a) 10 km

b) 20 km

c) 30 km

d) 40 km

36. A person travels 12 km due North, then 15 km due East, after that 15 km due West and

then 15 km due South. How far is he from the starting points?

a) 6 km

b) 12 km

c) 33 km

d) 60 km

37. A person X has four notes of Rupee 1, 2 , 5 and 10 denomination. The number of different

sums of money she can form from them is

a) 16

b) 15

c) 12

d) 8

38. A question paper had ten questions. Each question could only be answered as True (T) or

False (F). Each candidate answered all the questions. Yet, no two candidates wrote the

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answers in an identical sequence. How many different sequences of answers are

possible?

a) 20

b) 40

c) 512

d) 1024

39. Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of

equal length. Each part must be as long as possible. What is the maximum number of

pieces that can be cut?

a) 27

b) 36

c) 43

d) 480

40. Half of the villagers of a certain village have their own houses. One – fifth of the villagers

cultivate paddy. One – third of the villagers are literate. Four – fifth of the villagers are

below twenty five. Then, which one of the following is certainly true?

a) All the villagers who have their own houses are literate.

b) Some villagers under twenty five are literate.

c) A quarter of the villagers who have their own houses cultivate paddy.

d) Half of the villagers who cultivate paddy are literate

41. How many numbers lie between 300 and 500 in which 4 comes only one time?

a) 99

b) 100

c) 110

d) 120

42. In a meeting, the map of a village was placed in such a manner that south – east becomes

north, north – east becomes west and so on. What will south become?

a) North

b) North – east

c) North – west

d) West

43. In a tournament 14 teams play league matches. If each team plays against every other

team once only then how many matches are played?

a) 105

b) 91

c) 85

d) 78

44. In an examination, there are three subjects A, B and C. A student has to pass in each

subject. 20% students failed in A, 22% students failed in B and 16% failed in C. The total

number of students passing the whole examination lies between

a) 42% and 84%

b) 42% and 78%

c) 58% and 78%

d) 58% and 84%

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45. In how many ways can four children be made to stand in a line such that two of them, A

and B are always together?

a) 6

b) 12

c) 18

d) 24

46. P, Q, R and S are four men. P is the oldest but not the poorest. R is the richest but not the

oldest. Q is older than S but not than P or R. P is richer than Q but not than S. The four

men can be ordered (descending) in respect of age and richness, respectively, as:

a) PQRS, RPSQ

b) PRQS, RSPQ

c) PRQS, RSQP

d) PRSQ, RSPQ

47. Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two

minutes. What is the length of the train?

a) 250 m

b) 500 m

c) 1000 m

d) 1500 m

48. Six books, A, B, C, D, E and F are placed side by side. B, C and E have blue cover and the

other books have red cover. Only D and F are new books and the rest are old. A, C and D

are law reports and other are Gazetteers. What book is a new law report with a red colour?

Which of the statements given above is/are correct? a) A

b) B

c) C

d) D

49. Six persons A, B, C, D, E and F are standing in a row. C and D are standing close to each

other alongside E. B is standing beside A only. A is fourth from F. Who are standing on the

extremes?

a) A and F

b) B and D

c) B and F

d) None of the above

50. Six persons M, N, O, P, Q and R are sitting in two rows, three in each. Q is not at the end

of any row. P is second to the left of R. O is the neighbour of Q and is sitting diagonally

opposite to P. N is the neighbour of R. On the basis of above information, who is facing N?

a) R

b) Q

c) P

d) M

51. Six books are labelled A, B, C, D, E and F and are placed side by side. Books B, C, E and

F have green covers while others have yellow covers. Books A, B and D are new while the

rest are old volumes. Books A, B and C are law reports while the rest are medical extracts.

Which two books are old medical extracts and have green covers?

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a) B and C

b) E and F

c) C and E

d) C and F

52. “Price is not the same thing as value. Suppose that on a day the price of everything viz.,

coal, bread, postage stamps, a day’s labour, the rent of houses, etc. were to double. Prices

then would certainly rise, but values of all things except one would not.” The writer wants to

say that if prices of all things were doubled.

a) the values of all things would remain constant.

b) the values of the things sold would be doubled.

c) the values of the things bought would be halved.

d) the value of money only would be halved.

53. Consider the table given below in which the numbers bear certain relationship among

themselves along the rows : 29 13 18 33 X 19 30 27 3 54. Which one of the following numbers is the missing number indicated above by X?

a) 19

b) 15

c) 14

d) 8

55. Assume that the hour and minute hands of a clock move without jerking.the clock shows a

time between 8 o’clock and 9 o’clock.the two hands of the clock are one above the other.

After how many minutes (nearest integer) will the two hands be again lying one above the

other?

a) 60

b) 62

c) 65

d) 67

56. As per agreement with a bank, a businessman had to refund a loan in some equal

installments without interest. After paying 18 installments he found that 60 percent of his

loan was refunded. How many installments were there in the agreement?

a) 22

b) 24

c) 30

d) 33

57. If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and

suffers a loss of 10% on the other

a) he makes no profit and no loss.

b) he makes a profit of 1%.

c) he suffers a loss of 1%.

d) he suffers a loss of 2%.

58. A gardener increased the area of his rectangular garden by increasing its length by 40%

and decreasing its width by 20%. The area of the new garden

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a) has increased by 20%.

b) has increased by 12%.

c) has increased by 8%.

d) is exactly the same as the old area.

59. A group of 630 children is seated in rows for a group photo session. Each row contains

three less children than the row in front of it. Which one of the following number of rows is

not possible?

a) 3

b) 4

c) 5

d) 6

60. Two cars start towards each other, from two places A and B which are at a distance of 160

km. They start at the same time 08:10 AM. If the speeds of the cars are 50 km and 30 km

per hour respectively, they will meet each other at

a) 10:10 AM

b) 10:30 AM

c) 11:10 AM

d) 11:20 AM

Hindi Language

61. निम्न मे से कौि सी भाषा देविागरी निनि में निखी जाती है ?

a) नसिंधी

b) उनिया

c) गुजराती

d) मराठी

62. दनिणी भारत मे नहन्दी प्रचार सभा का मुख्यािय कहॉ िर स्थित है ?

a) मैसूर

b) चेन्नई

c) बिंगिोर

d) हैदराबाद

63. महेन्द्र का सस्ि नवचे्छद क्या है ?

a) महो+इन्द्र

b) महा+इन्द्र

c) महे+इन्द्र

d) इिमें से कोई िही िं

64. निम्न मे से कौि सी भाषा देविागरी निनि में निखी जाती है ?

a) नसिंधी

b) उनिया

c) गुजराती

d) मराठी

65. कवगग का उच्चारण-थिाि है ?

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a) मूधाग

b) दन्त

c) ओष्ठ

d) कण्ठ

66. इिमें से कौि सा शब्द सिंज्ञा से बिा हुआ नवशेषण है?

a) इचु्छक

b) प्यास

c) िशु

d) सन्तोष

67. कौि सा शब्द सिंसृ्कत से तद्भव बिाया गया है ?

a) बच्चा

b) वच्छ

c) (A) और (B) दोिोिं

68. दनिणी भारत मे नहन्दी प्रचार सभा का मुख्यािय कहॉ िर स्थित है ?

a) मैसूर

b) चेन्नई

c) बिंगिोर

d) हैदराबाद

69. इिमें से कौि नवधेय-नवशेषण है ?

a) मेरा िड़का आिसी है।

b) सतीश सुिंदर िड़का है।

c) (A) और (B) दोिोिं

d) इिमें से कोई िही िं

70. नहन्दी भाषा का जन्म कहााँ हुआ है ?

a) उत्तरभारत

b) आिंध्रप्रदेश

c) जमू्म कश्मीर

d) इिमें से कोई िही िं

71. इिमें से नकस शब्द में नििंगप्रत्यय-सिंबिंधी अशुस्ियााँ है?

a) अिािा

b) गानयका

c) गोिी

d) िारर

72. इिमें से अल्पनवराम कौि सा है ?

a) वह रोज आता है,

b) यह हािी है।

c) धीरे-धीरे

d) इिमें से कोई िही िं

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73. सिंज्ञा के नकतिे भेद है ?

a) दस

b) िााँच

c) सात

d) आठ

74. खटमि शब्द (Gender) है ?

a) िुिंनििंग

b) स्त्रीनििंग

c) उभयनििंग

d) इिमें से कोई िही िं

75. श्याम सोता है यह कौि सी निया है ?

a) अकमगक निया

b) सकमगक निया

c) (A) और (B) दोिोिं

d) इिमें से कोई िही िं

76. इिमें से कौि सी शब्द देशज है ?

a) नचनड़यााँ

b) कीमत

c) (A) और (B) दोिोिं

d) इिमें से कोई िही िं

77. इिमें से हवा का ियागयवाची कौि है ?

a) धीर

b) तिुज

c) बयार

d) िाराच

78. 'मस्ियााँ मारिा' मुहावरे का अिग बताइए ?

a) इन्तजार करिा

b) िाभ के बदिे हानि

c) बेकार बैठे रहिा

d) साहनसक कायग

79. इिमें से कौि-सी युग्म शब्द गित है ?

a) िगर- शहर

b) िशा- मद

c) िारी- स्त्री

d) निसाि- नचह्न

80. तुम, तुमिे, तुमिोगो यह वाक्य नकस वचि से है ?

a) एकवचि

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b) बहुवचि

c) नि वचि

d) इिमें से कोई िही िं

81. ित्र-िेखि नकतिे प्रकार के होते है ?

a) 3

b) 8

c) 2

d) 5

82. इिमें से अिग के अिेकािगक शब्द क्या है ?

a) कारण, मतिब, धि

b) सत्य, जि, धमग

c) सूयग, नप्रय, सहयोगी

d) रनहत, दीि, उदे्दश्य

83. नहन्दी में व्यिंजिवणो की सिंख्या नकतिी है ?

a) 22

b) 10

c) 33

d) 30

84. निम्न में से सघोष व्यिंजि समूह है_ a) क,ख,च,छ,

b) ग,घ,ज,झ

c) छ,ज,क,ि

d) त,फ,ट,ब

85. िानवगक व्यिंजि है_

a) ि

b) स

c) ड़

d) श

86. नजि ध्वनियोिं के सिंयोग से शब्दोिं का निमागण होता है , उने्ह कहते हैं-

a) ध्वनि

b) प्रनतध्वनि

c) वाणी

d) वणग

87. यनद नहन्दी वणगमािा में ‘ ऋ ‘ को सनममनित कर नदया जाए, तो वणाग की कुि सिंख्या नकतिी हो जाएगी ?

a) 45

b) 52

c) 56

d) 57

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88. नहन्दी की देविागरी वणगमािा में स्पशग व्यिंजि हैं –

a) 25

b) 28

c) 26

d) 27

89. स्वरोिं के दो प्रकार कौि – कौि हैं?

a) स्वर और व्यिंजि

b) ध्वनि और वणग

c) मूिस्वर और सिंनध

d) उियुगक्त सभी

90. नजि स्वरोिं के उच्चारण में कम से कम समय िगता है, अिागत् नजिके उच्चारण में अन्य स्वरोिं की सहायता िही िं

िेिी िड़ती है, उने्ह कहते हैाँ –

a) अल्प स्वर

b) मूि स्वर

c) व्यिंजि

d) सिंनध स्वर

91. नजि स्वरोिं के उच्चारण में मूि स्वरोिं की सहायता िेिी िड़ती है, उने्ह कहते हैं –

a) मूि स्वर

b) दीधग स्वर

c) सिंनध स्वर

d) सिंयुक्त स्वर

92. जो स्वर सजातीय स्वरोिं के सिंयोग से बिे हैं उने्ह कहते हैं।

a) दीधग स्वर

b) ह्रस्व स्वर

c) मूि स्वर

d) अल्प स्वर

93. दीघग स्वर के सही उदाहरण हैं-

a) आ, ई, ऊ

b) अ, इ, उ

c) ए, ऐ, ओ

d) इिमें से कोई िही िं

94. जो स्वर नवजातीय स्वरो के मेि से बिे है उने्ह कहते है-

a) दीघग स्वर

b) महास्वर

c) सिंयुकत स्वर

d) उियुगक्त सभी

95. सिंयुक्त स्वर’ के उदाहरण हैं-

a) अ, इ, उ

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b) आ, ई, ऊ

c) ए, ऐ, औ, औ

d) उियुगक्त सभी

96. स्त्रीत्व’ शब्द में कौि सी सिंज्ञा है ?

a) जानतवाचक सिंज्ञा

b) व्यस्क्तवाचक सिंज्ञा

c) भाववाचक सिंज्ञा

d) द्रव्यवाचक सिंज्ञा

97. सूयग’ शब्द का स्त्रीनििंग क्या होगा ?

a) सूयागणी

b) सूयागयी

c) सूयाग

d) सूयो

98. निम्ननिस्खत शब्दोिं में से कौि सा शब्द सिंज्ञा है ?

a) िुि

b) िोध

c) िोधी

d) िोनधत

99. निम्ननिस्खत शब्दोिं में से एक शब्द िुिंनििंग है, उसे बताइए –

a) बुढ़ािा

b) जड़ता

c) छटिा

d) दाया

100. नहन्दी में शब्दोिं का नििंग निधीरण नकसिे आधार िर होता है

a) िड़किि

b) सवगिाम

c) निया

d) प्रत्यय

101. राष्ट्र भाषा कहिाती है

a) सिंनवधाि िारा स्वीकृत भाषा

b) सकारी काम - काज की भाषा

c) बहुसिंख्यक देशवानसयोिं िारा प्रयोग की जावािे िी भाषा

d) सानहत्य सृजि की भाषा

102. जीतिे की इच्छा रखिे वािा ‘ कहिाता है

a) उन्माद

b) नजगेषु

c) आकािंिी

d) नजगीषा

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103. समूहवाचक सिंज्ञा है

a) अिंगुर

b) गुिाब

c) चावि

d) िौधे

104. ‘निधगि’ शब्द में कौि - सा समास है ?

a) कमगधारय

b) तत्परुष

c) िन्द्ि

d) बहुब्रीनह

105. ‘आिंखोिं’ में खूि उतरिा मुहावरे का अिग कौि - सा है ?

a) बीमार होिा

b) नविाश करिा

c) िोध में अशब्द कहिा

d) िोध से आिंख - मुाँह िाि होिा

106. नहन्दी वणगमािा में नकतिे सिंयुक्त व्यिंजि हैं ?

a) तीि

b) चार

c) सात

d) िााँच

107. नचनड़या ’का बहुवचि क्या होगा ?

a) नचनड़यााँ

b) नचनड़याओिं

c) नचनड़योिं

d) ये सभी

108. शुि वाक्य है -

a) उसिे एक मोती का हार खरीदा ।

b) तुम्हारी घड़ी में नकतिे बजे हैं ?

c) उिकी व्यवहार अच्छी िही िं है ।

d) मैं िढ़िे का व्ययाम करता हाँ ।

109. ‘ बाबा बटेसरिाि ’ के िेखक हैं -

a) िागाजुगि

b) राजेन्द्र यादव

c) महादेवी वमाग

d) िामवर नसिंह

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110. सही वतगिी के निए नवकल्प चुनिए

a) अवथिाििा

b) आवथिििा

c) अवसिाििो

d) अवाथिाििा

Mathematics

111. The minimum value of 2sin2𝜃+3cos2𝜃 is

a) 0

b) 3

c) 2

d) 1

112. If 0° < 𝜃 < 90° the value of sin𝜃 + cos𝜃 is:

a) Equal to 1

b) Greater than 1

c) Less than 1

d) Equal to 2

113. Maximum value of (2sinθ + 3cosθ) is

a) 2

b) √𝟏𝟑

c) √15

d) 1

114. cos1°.cos2°.cos3°.cos4°…………cos178°.cos179° = ?

a) 0

b) 1

c) 2

d) √3/2

115. The angles of a triangle are (x + 5)°, (2x – 3)° and (3x + 4)°. The value of x is?

a) 30°

b) 31°

c) 29°

d) 28°

116. The area of a circle is increased by 22 cm2, if its radius is increased by 1 cm. Find the original radius of the circle?

a) 6 cm

b) 3.2 cm

c) 3 cm

d) 3.5 cm

117. The area of the largest circle that can be drawn inside a rectangle with sides 148 cm. by 14 cm is?

a) 49 cm2

b) 154 cm2

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c) 378 cm2

d) 1078 cm2

118. A circle is inscribed in an equilateral triangle of side 8 cm. The area of the portion between the triangle and the circle is?

a) 11 cm2

b) 10.95 cm2

c) 10 cm2

d) 10.50 cm2

119. The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is?

a) 8.5 cm2

b) 8.75 cm2

c) 7.75 cm2

d) 7.50 cm2

120. The radius of a circular wheel is 1.75 m. The number of revolutions it will make in travelling 11 km is?

a) 800

b) 900

c) 1000

d) 1200

121. 10 kg of wheat priced at Rs. 8 mixed with 15 kg of wheat priced at Rs. 10. What is average price of whole mixture?

a) र 9.5 kg

b) र 9.2 kg

c) र 7.5 kg

d) र 8.5 kg

122. 40 litres of a mixture of milk and water contains 10% of water, the water to be added, to make the water content 20% in the new mixutre. Find how many litres water will be added?

a) 6 litres

b) 6.5 litres

c) 5.5 litres

d) 5 litres

123. A sugar solution of 3 litre contain 60% sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is

a) 30

b) 45

c) 50

d) 60

124. The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water?

a) 7 : 5

b) 5 : 7

c) 7 : 3

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d) 5 : 3

125. The ratio of spirit and water in two mixtures of 20 litres and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is

a) 25 : 29

b) 29 : 10

c) 27 : 29

d) 27 : 31

126. AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 1 cm. The radius of the circle is

a) 5 cm

b) 4 cm

c) 3 cm

d) 2 cm

127. The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC = 90°, then the radius of circle is

a) 25 cm

b) 20 cm

c) 4 cm

d) 5 cm

128. The distance between two parallel chords of length 8 cm each in a circle of diameter 10 cm is

a) 6 cm

b) 7cm

c) 8 cm

d) 5.5 cm

129. The two tangents are drawn at the extermities of diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangents at Q and R, then the measure of the ∠QPR is

a) 45°

b) 60°

c) 90°

d) 180°

130. AB is a chord to a circle and PAT is the tangent to the circle at : A . If ∠BAT = 75° and ∠BAC = 45° and C being a point on the circle, then ∠ABC is equal to

a) 40°

b) 45°

c) 60°

d) 70°

131. A sum of rs-400 amount to rs-480 in 4 years. What will it amount to if the rate of interest is increased by 2%?

a) 480

b) 560

c) 512

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d) 536

132. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the principal amount in 10 years?

a) 4%

b) 6%

c) 17/3%

d) 20/3%

133. A sum of rs-1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is 300. The ratio of money lent at 5% to that at 8% is

a) 5 : 8

b) 8 : 5

c) 31 : 6

d) 16 : 15

134. What sum of money will amount to 8 years and to 568 in 7 years at simple interest?

a) 400

b) 120

c) 510

d) 220

135. What sum will amount to rs-7000 in 5 years at 3.33 percent simple interest?

a) 6300

b) 6500

c) 6000

d) 5000

136. If p : q = r : S = t : u = 2 : 3 , then ( mp + nr + ot ) : ( mq + ns + ou ) is equal to

a) 1 : 3

b) 1 : 2

c) 2 : 3

d) 3 : 2

137. The fourth proportional to 12 , 21 , 8 is

a) 8.9

b) 56

c) 14

d) 17

138. The ratio 21.5 : 20 . 5 is the same as

a) 2 : 1

b) 3 : 1

c) 6 : 1

d) 3 : 2

139. If m : n = 3 : 2 , then ( 4m + 5n ) : ( 4m - 5n ) is equal to

a) 4 : 9

b) 9 : 4

c) 11 : 1

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d) 9 : 1

140. A, B and C can finish a job working alone in 20, 30 and 60 days respectively; they all work together for one day, then A and B quite how many days C working Alone with take to finish the remaining part of the job?

a) 60

b) 54

c) 6

d) 27

141. A 75 meter long train is moving at 20 kmph. It will cross a man standing on the platform in?

a) 12 sec

b) 14 sec

c) 13.5 sec

d) 15.5 sec

142. A man can reach a certain place in 30 hours, if he reduces his speed by 1/15th, he comes 10 km less in that time. Find his speed in km per hour.

a) 6 km/hr

b) 11/2 km/hr

c) 4 km/hr

d) 5 km/hr

143. A train takes 18 seconds to pass through a platform 162 m long and 15 seconds to pass another platform 120 m long. The length of the train (in metre) is

a) 70

b) 80

c) 90

d) 105

144. The ratio of lengths of two trains is 5 : 3 and the ratio of their speeds is 6 : 5. The ratio of time taken by them to cross a pole is

a) 5 : 6

b) 11 : 8

c) 25 : 18

d) 27 : 16

145. A train 300 meter long is running at a speed of 25 meter per second. It will cross a bridge of 200 meter long in.

a) 5 seconds

b) 10 seconds

c) 20 seconds

d) 25 seconds

146. If the length of each side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is

a) 144 V-2 cu. cm.

b) 72 f cu. cm.

c) 8, cu. cm.

d) 12 J cu. cm.

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147. A cone, a hemisphere and a cylinder stand on equal base and have the same height. Their volumes are in the ratio

a) 1: 3: 2

b) 2: 3: 1

c) 1: 2: 3

d) 3: 1: 2

148. Sides of a parallelogram are in the ratio 5 : 4. Its area is 1000 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side is

a) 30 units

b) 25 units

c) 10 units

d) 15 units

149. B and C can complete a piece of work in 12 days, C and A can do it in 8 days. All the three can do it in 6 days. A and B together can complete it in

a) 4 days

b) 6 days

c) 8 days

d) 10 days

150. A can do a work in 9 days, if B is 50% more efficient than A, then in how many days can B do the same work?

a) 13.5

b) 4.5

c) 6

d) 3