SSC CGL TIER-I COMBINED GRADUATE LEVEL

2020-2021

23 SETS

SOLVED PAPERS WITH DETAILED EXPLANATIONS

23 SETS of SSC CGL Tier-I EXAM Held in 2020-2021

FOR FRANCHISEE CONTACT :

RU-67, PITAMPURA, DELHI-110034, Ph : 9821874015, 9821643815 SGE/2020/ 1

Delhi : RU-67,

For the books & magazines of Kiran Prakashan contact your nearest booksellers. Fo r d etailed info rm atio n lo g on o u r w ebsite :

Opposite Power House, Pitampura, Delhi-110034, Ph. : 9821874015, 9821643815 www.kiranprakashan.com

w w w.kiranpr akash an.c om

© KIRAN INSTITUTE OF CAREER EXCELLENCE PVT. LTD. (KICX) NEW EDITION The copyright of this book is entirely with the Kiran Institute of Career Excellence Pvt. Ltd. The reproduction of this book or a part of this will be punishable under the Copyright Act. All disputes subject to Delhi jurisdiction. Every possible effort has been made to ensure that the information contained in this book is accurate at the time of going to press, and the publishers and authors cannot accept responsibility for any errors or omissions, however caused. No responsibility for loss or damage occasioned to any person acting, or refraining from action, as a result of the material in this publication can be accepted by the editor, the publisher or any of the authors. Price : Rs. 235.00 (Rupees Two Hundred and Thirty Five Only) Reviewed by : Think Tank of PRATIYOGITA KIRAN & KIRAN PRAKASHAN Assistance : ● Govind Pd. Singh ● Rakesh Kumar ● Satyendra Singh ● Auranjeb Khan ● Sanket Sah Design & Layout by : KIRAN COMPUTER SECTION, New Delhi. Printed at :

Must Read

Price :

1234567890123456789012345678901212345678901234567890123456789012123456789 1234567890123456789012345678901212345678901234567890123456789012123456789 1234567890123456789012345678901212345678901234567890123456789012123456789 1234567890123456789012345678901212345678901234567890123456789012123456789 1234567890123456789012345678901212345678901234567890123456789012123456789

USEFUL FOR ALL COMPETITIVE EXAMS

625

Price :

299

SGE/2020/ 2

Buy Today

Price :

295

Contents Solved Papers–2020 SET – 01 ❖ ❖ ❖ ❖

SET – 07

SSC CGL Tier-I (CBE) EXAM Held on : 03.03.2020 (Shift-I) General Intelligence & Reasoning .................................. SGE/2020/ 5 General Awareness ..................... SGE/2020/ 6 Quantitative Aptitude. ............... SGE/2020/ 8 English Comprehension .............. SGE/2020/ 9

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 05.03.2020 (Shift-I) General Intelligence & Reasoning ................................ SGE/2020/ 85 General Awareness ................... SGE/2020/ 86 Quantitative Aptitude. ............. SGE/2020/ 88 English Comprehension ............ SGE/2020/ 89

SET – 02 ❖ ❖ ❖ ❖

SET – 08

SSC CGL Tier-I (CBE) EXAM Held on : 03.03.2020 (Shift-II) General Intelligence & Reasoning ................................ SGE/2020/ 17 General Awareness ................... SGE/2020/ 18 Quantitative Aptitude. ............. SGE/2020/ 20 English Comprehension ............ SGE/2020/ 21

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 05.03.2020 (Shift-II) General Intelligence & Reasoning ................................ SGE/2020/ 99 General Awareness ................. SGE/2020/ 100 Quantitative Aptitude. ........... SGE/2020/ 101 English Comprehension .......... SGE/2020/ 103

SET – 03 ❖ ❖ ❖ ❖

SET – 09

SSC CGL Tier-I (CBE) EXAM Held on : 03.03.2020 (Shift-III) General Intelligence & Reasoning ................................ SGE/2020/ 30 General Awareness ................... SGE/2020/ 31 Quantitative Aptitude. ............. SGE/2020/ 33 English Comprehension ............ SGE/2020/ 34

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 05.03.2020 (Shift-III) General Intelligence & Reasoning .............................. SGE/2020/ 113 General Awareness ................. SGE/2020/ 115 Quantitative Aptitude. ........... SGE/2020/ 116 English Comprehension .......... SGE/2020/ 118

SET – 04 ❖ ❖ ❖ ❖

SET – 10

SSC CGL Tier-I (CBE) EXAM Held on : 04.03.2020 (Shift-I) General Intelligence & Reasoning ................................ SGE/2020/ 43 General Awareness ................... SGE/2020/ 45 Quantitative Aptitude. ............. SGE/2020/ 46 English Comprehension ............ SGE/2020/ 47

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 06.03.2020 (Shift-I) General Intelligence & Reasoning .............................. SGE/2020/ 128 General Awareness ................. SGE/2020/ 130 Quantitative Aptitude. ........... SGE/2020/ 131 English Comprehension .......... SGE/2020/ 132

SET – 05 ❖ ❖ ❖ ❖

SET – 11

SSC CGL Tier-I (CBE) EXAM Held on : 04.03.2020 (Shift-II) General Intelligence & Reasoning ................................ SGE/2020/ 57 General Awareness ................... SGE/2020/ 58 Quantitative Aptitude. ............. SGE/2020/ 60 English Comprehension ............ SGE/2020/ 61

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 06.03.2020 (Shift-II) General Intelligence & Reasoning .............................. SGE/2020/ 143 General Awareness ................. SGE/2020/ 145 Quantitative Aptitude. ........... SGE/2020/ 146 English Comprehension .......... SGE/2020/ 148

SET – 06 ❖ ❖ ❖ ❖

SET – 12

SSC CGL Tier-I (CBE) EXAM Held on : 04.03.2020 (Shift-III) General Intelligence & Reasoning ................................ SGE/2020/ 71 General Awareness ................... SGE/2020/ 72 Quantitative Aptitude. ............. SGE/2020/ 74 English Comprehension ............ SGE/2020/ 75

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 06.03.2020 (Shift-III) General Intelligence & Reasoning .............................. SGE/2020/ 156 General Awareness ................. SGE/2020/ 158 Quantitative Aptitude. ............. SGE/2020/ 59 English Comprehension .......... SGE/2020/ 161

SGE/2020/ 3

SET – 13 ❖ ❖ ❖ ❖

SET – 16

SSC CGL Tier-I (CBE) EXAM Held on : 07.03.2020 (Shift-I) General Intelligence & Reasoning .............................. SGE/2020/ 170 General Awareness ................. SGE/2020/ 172 Quantitative Aptitude. ........... SGE/2020/ 173 English Comprehension .......... SGE/2020/ 175

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 09.03.2020 (Shift-I) General Intelligence & Reasoning .............................. SGE/2020/ 210 General Awareness ................. SGE/2020/ 212 Quantitative Aptitude. ........... SGE/2020/ 213 English Comprehension .......... SGE/2020/ 214

SET – 14 ❖ ❖ ❖ ❖

SET – 17

SSC CGL Tier-I (CBE) EXAM Held on : 07.03.2020 (Shift-II) General Intelligence & Reasoning .............................. SGE/2020/ 183 General Awareness ................. SGE/2020/ 185 Quantitative Aptitude. ........... SGE/2020/ 186 English Comprehension .......... SGE/2020/ 188

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 09.03.2020 (Shift-II) General Intelligence & Reasoning .............................. SGE/2020/ 223 General Awareness ................. SGE/2020/ 225 Quantitative Aptitude. ........... SGE/2020/ 226 English Comprehension .......... SGE/2020/ 227

SET – 15 ❖ ❖ ❖ ❖

SET – 18

SSC CGL Tier-I (CBE) EXAM Held on : 07.03.2020 (Shift-III) General Intelligence & Reasoning .............................. SGE/2020/ 197 General Awareness ................. SGE/2020/ 199 Quantitative Aptitude. ........... SGE/2020/ 200 English Comprehension .......... SGE/2020/ 201

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 09.03.2020 (Shift-III) General Intelligence & Reasoning .............................. SGE/2020/ 236 General Awareness ................. SGE/2020/ 238 Quantitative Aptitude. ........... SGE/2020/ 239 English Comprehension .......... SGE/2020/ 240

Solved Papers–2021 SET – 19 ❖ ❖ ❖ ❖

SET – 21

SSC CGL Tier-I (CBE) EXAM Held on : 13.08.2021 (Shift-I) General Intelligence & Reasoning .............................. SGE/2021/ 249 General Awareness ................. SGE/2021/ 251 Quantitative Aptitude. ........... SGE/2021/ 252 English Comprehension .......... SGE/2021/ 254

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 17.08.2021 (Shift-I) General Intelligence & Reasoning .............................. SGE/2021/ 278 General Awareness ................. SGE/2021/ 280 Quantitative Aptitude. ........... SGE/2021/ 281 English Comprehension .......... SGE/2021/ 283

SET – 20 ❖ ❖ ❖ ❖

SET – 22

SSC CGL Tier-I (CBE) EXAM Held on : 16.08.2021 (Shift-I) General Intelligence & Reasoning .............................. SGE/2021/ 264 General Awareness ................. SGE/2021/ 266 Quantitative Aptitude. ........... SGE/2021/ 267 English Comprehension .......... SGE/2021/ 268

❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 18.08.2021 (Shift-I) General Intelligence & Reasoning .............................. SGE/2021/ 292 General Awareness ................. SGE/2021/ 294 Quantitative Aptitude. ........... SGE/2021/ 295 English Comprehension .......... SGE/2021/ 297

SET – 23 ❖ ❖ ❖ ❖

SSC CGL Tier-I (CBE) EXAM Held on : 20.08.2021 (Shift-I) General Intelligence & Reasoning .............................. SGE/2021/ 306 General Awareness ................. SGE/2021/ 308 Quantitative Aptitude. ........... SGE/2021/ 309 English Comprehension .......... SGE/2021/ 311

SGE/2020/ 4

SOLVED PAPER–01

S E T

SOLVED PAPER–01

SOLVED PAPER

1

SSC CGL TIER-I (CBE) EXAM Held on % 03.03.2020 (Shift-I)

GENERAL INTELLIGENCE & REASONING 1. Select the option figure in which the given figure is embedded (Rotation is NOT allowed).

(1)

opposite to the one showing the number 6. 6

3 1

5

3

(a)

5

(b)

(1) 4 (2) 1 (3) 5 (4) 3 6. Select the figure that can replace the question mark (?) in the following series.

(2)

+

+

+

? +

(3)

(4)

2. Four words have been given, out of which three are alike in some manner, while one is different. Select the odd word. (1) Yacht (2) Ferry (3) Submarine (4) Ship 3. Which two numbers should be interchanged to make the given equation correct ? 9 + 7 × 5 – 18 ÷ 2 = 3 × 4 – 10 + 45 ÷ 5

18 and 45 (2) 7 and 4 (3) 2 and 5 (4) 9 and 3 (1)

4. How many rectangles are there in the given figure ?

(1) 30 (2) 33 (3) 34 (4) 32 5. Two postions of the same dice are shown. Select the number that will be on the face

(1) +

(2) +

(3)

+

(4)

7. In a certain code language, WARDROBE is written as YXVYXHJV. How will ACCURATE be written as in that language ? (1) CZGPXTBV (2) CZHPYTBV (3) BZHPXTBV (4) DZGPXTBV 8. Arrange the following words in the order in which they appear in an English dictionary. 1. Rightly 2. Rigidly 3. Righteous 4. Rigour 5. Rights (1) 3, 1, 5, 2, 4 (2) 3, 1, 5, 4, 2 (3) 3, 5, 1, 4, 2 (4) 1, 3, 5, 2, 4 9. Select the number that can replace the question mark (?) in the following series.

SGE/2020/ 5

17, 21, 30, 46, 71, ? (1) 101 (2) 107 (3) 96 (4) 105 10. Four letter-clusters have been given, out of which three are alike in some manner, while one is different. Select the odd letter-cluster. (1) FVKO (2) BYGT (3) NMSH (4) DWIR 11. Select the option in which the words share the same relationship as that shared by the given pair of words : Clock : Time (1) Ammeter : Current (2) Taseometer : Wind (3) Anemometer Strains (4) Balance : Scale 12. Read the given statements and Conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts. Decide which of the given Conclusions logically follow(s) from the statements. Statements : 1. Some animals are elephants. 2. Some elephants are tigers. Conclusions : I. Some animals are tigers. II. No tiger is an animal. (1) Neither Conclusion I nor II follows. (2) Only Conclusion II follows. (3) Only Conclusion I follows. (4) Either Conclusion I or II follows. 13. Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.

SOLVED PAPER–01 12 : 72 : : 18 : ? :: 22 : 242 (1) 160 (2) 164 (3) 162 (4) 140 14. Select the option that is related to the third word in the same way as the second word is related to the first word. Medicine : Disease :: Food : ? (1) Nutrition (2) Thirst (3) Energy (4) Hunger 15. Which of the option figures is the exact mirror image of the given figure when the mirror is held at the right side ? (1) (2) (3) (4) 16. Select the set of letters that when sequentially placed in the blanks of the given letter series will complete the series. k_ lmml_mk_mmk_lkkl_m (1) l, k, m, k, k (2) k, l, k, l, m (3) k, l, m, k, k (4) k, m, m, k, l 17. Study the given pattern carefully and select the number that can replace the question mark (?) in it. 6 21 14 40 500 ? 8

25

7

(1) 98 (2) 91 (3) 78 (4) 84 18. Select the letter-cluster that can replace the question mark (?) in the following series. CXB, HUI, MRP, ROW, ? (1) WLZ (2) VKC (3) WLD (4) VKD 19. Select the option in which the numbers are related in the same way as are the numbers in the given set.

SOLVED PAPER–01 (3) (313, 322, 340) (4) (419, 430, 448) 20. The given Venn diagram represents employees in an organisation : The triangle represents executives, the circle represents females, the rectangle represents MBAs and the square represents technical staff. The numbers given in the diagram represent the number of persons in that particular category. 2 3 25

10 4 5 11

6

15

How many female executives are there in the organisation ? (1) 15 (2) 10 (3) 5 (4) 11 21. In a certain code language, ‘HARVEST’ is coded as ‘22–21– 7–24–20–3–10’. How will ‘ ‘FARMER’ be coded as in that language ? (1) 20-7-15-20-3-8 (2) 20-7-14-21-3-8 (3) 19-7-15-19-3-8 (4) 19-7-15-20-3-7 22. In the following equations, if ‘+’ is interchanged with ‘–’ and ‘6’ is interchanged with ‘7’ then which equation would be correct? (1) 67 – 76 + 43 = 100 (2) 62 – 67 + 76 = 83 (3) 78 – 68 + 66 = 59 (4) 76 – 75 + 77 = 56 23. The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded ?

(269, 278, 296) (1) (109, 118, 128) (2) (577, 586, 598)

SGE/2020/ 6

(1)

(2)

(3)

(4)

24. The ratio of the present ages of Asha and Lata is 5 : 6. If the difference between their ages is 6 years, then what will be Lata’s after 5 years ? (1) 35 years (2) 45 years (3) 41 years (4) 40 years 25. Amit is the brother of Sonia. Jyoti is the sister of Nikita. Sonia is the daughter of Satish’s father. Nikita is the daughter of Kavinder. Jyoti is the mother of Amit. Mukesh is Nikita’s only sister’s husband. How is Satish related to Kavinder ? (1) Brother (2) Son-in-law (3) Grandson(4) Son

GENERAL AWARENESS 26. Name the media company that purchased the legendary studio of 21st Century Fox. (1) Viacom (2) Time Warner (3) Sony (4) Disney 27. Veteran freedom fighter, social reformer and feminist Savithribai Phule hailed from which of the following states of India? (1) Rajasthan (2) Gujarat (3) Maharashtra (4) Odisha 28. Which of these institutions fixes the Repo Rate and the Reverse Repo Rate in India? (1) Ministry of Finance (2) Comptroller and Auditor General of India (3) State Bank of India (4) Reserve Bank of India 29. In which year Sanchi was discovered after being abandoned for nearly 600 Years?

SOLVED PAPER–01 (1) 1816 (2) 1818 (3) 1814 (4) 1820 30. As of February 2020, who is the President of Sri Lanka? (1) Maithripala Sirisena (2) Gotabaya Rajapaksa (3) D.M. Jayaratne (4) Chandrika Kumaratunga 31. The World Food Program (WFP) is the food assistance branch of the United Nations. Where is it headquartered? (1) Brussels (2) Paris (3) Rome (4) New York 32. Which of these bones is NOT a part of the human ear? (1) Incus (2) Stapes (3) Femur (4) Malleus 33. Who among the following played the leading lady in the film 'Mission Mangal' that tells the dramatic true story of the women behind India's first mission to Mars? (1) Deepika Padukone (2) Vidya Balan (3) Kajol (4) Kareena Kapoor 34. As on January 2020, Shri Bhupesh Baghel is the Chief Minister of which of the following states? (1) Haryana (2) Odisha (3) Chhattisgarh (4) Jharkhand 35. The Araku Valley, a tourist resort, is located near which of these cities of South India? (1) Madurai (2) Kochi (3) Visakhapatnam (4) Mangalore 36. What is the uniform GST rate that has been fixed up for lottery prizes by the GST Council? (1) 1. 18 % (2) 32 % (3) 28 % (4) 10 % 37. Who is the first and currently the only batsman to score double hundreds in four consecutive test series? (1) Virat Kohli

SOLVED PAPER–01 (2) Rohit Sharma (3) A.B. de Villiers (4) Brian Lara 38. What is the more common name for solid carbon dioxide? (1) Potash (2) Quick Silver (3) Epsom (4) Dry Ice 39. From India, who inaugurated the Kartarpur Corridor and flagged off the first set of pilgrims to the final resting place of Sikhism founder Guru Nanak Dev? (1) Manmohan Singh (2) Narendra Modi (3) Ram Nath Kovind (4) Amarinder Singh 40. The ruins of the ancient city of Hampi - capital of Vijayanagara - is located in which present day Indian state? (1) Karnataka (2) Bihar (3) Telangana (4) Haryana 41. Name the author who won the Sahitya Akademi Award 2019 for his book - An Era of Darkness: The British Empire in India. (1) Vikram Seth (2) Romila Thapar (3) Ramchandra Guha (4) Shashi Tharoor 42. For which of the following sports was Dronavalli Harika, conferred with the prestigious Padma Shri award? (1) Badminton (2) Archery (3) Chess (4) Cricket 43. Kolathunadu, Valluvanad and Thekkumkoor were ancient small-time kingdoms in which state of India? (1) Kerala (2) Gujarat (3) Bihar (4) Karnataka 44. Red worms have a structure named ______ which helps them in grinding their food.

SGE/2020/ 7

(1) Intestine (2) Crop (3) Esophagus (4) Gizzard 45. Sir Thomas Roe came as an official ambassador from King James I of England to which Mughal emperor's court? (1) Shah Jahan (2) Aurangzeb (3) Akbar (4) Jahangir 46. Which of these words refers to the scientific study of domestic dogs? (1) Cynology (2) Craniology (3) Carpology (4) Chrematistics 47. Prolific Indian painter Maqbool Fida Husain predominantly used which of these animals to depict a lively and free spirit in his paintings? (1) Tigers (2) Horses (3) Elephants (4) Cows 48. Name the physicist who is credited with the discovery of the Neutron. This 1932 discovery led to his winning the Nobel Prize. (1) Max Plank (2) J.S. Fleming (3) Enrico Fermi (4) James Chadwick 49. Sultan Qaboos bin Said of ________, the Arab world’s longest-serving ruler and with a reputation for quiet diplomacy passed away recently (2020). (1) Oman (2) Kuwait (3) Dubai (4) Abu Dhabi 50. Which of the following books is NOT written by Salman Rushdie? (1) The Satanic Verses (2) An Area of Darkness (3) Midnight's Children (4) Shame

SOLVED PAPER–01

SOLVED PAPER–01

QUANTITATIVE APTITUDE 51. A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 110° and 130° respectively. Then the value of ∠BAC is : (1) 75° (2) 70° (3) 60° (4) 65° 52. If x, y and z are three integers such that x + y = 8, y + z = 13 and z + x =17, then the value of

x2 is : yz

(1) 1

(2)

18 11

(3) 0

(4)

7 5

53. The area of ∆ABC is 44 cm2. If D is the midpoint of BC and E is the midpoint of AB, then the area (in cm2) of ∆BDE is : (1) 5.5 (2) 22 (3) 11 (4) 44 54. A shopkeeper marks the price of the article in such a way that after allowing 28% discount, he wants a gain of 12%. If the marked price is Rs. 224, then the cost price of the article is : (1) Rs. 144 (2) Rs. 168 (3) Rs. 196 (4) Rs. 120 55. If A lies in the first quadrant and 6 tan A = 5, then the value of

8 sin A − 4 cos A is : cos A + 2 sin A

(1) 4 (2) 16 (3) – 2 (4) 1 56. If x = 4cosA + 5sinA and y = 4sinA – 5cosA, then the value of (x2 + y2) is : (1) 16 (2) 25 (3) 0 (4) 41 57. If ‘+’ means ‘ –’, ‘–’ means ‘+’, ‘×’ means ‘÷’, and ‘÷’ means ‘×’, then the value of 42 − 12 × 3 + 8 ÷ 2 + 15 is : 8 ×2− 4 +9÷3

15 19

(1) − (3)

(2)

5 3

15 19

(4) −

5 3

58. If x – y = 4 and xy = 45, then the value of (x3 – y3) is : (1) 82 (2) 604 (3) 151 (4) 822 Directions (59–62) : The given table shows the number (in thousands) of cars of five different models A, B, C, D and E produced during years 2012-2017. Study the table and answer the questions that follow. A

B

C

D

E

Total

2012

18

26

22

23

31

120

2013

22

18

32

40

18

130

2014

32

43

26

35

34

170

2015

18

22

26

14

20

100

2016

36

12

44

38

50

180

2017

12

48

40

22

28

150

59. If years 2013 and 2014 are taken together, which type of cars constitue exactly 25% of the total number of cars produced in those two years ? (1) D (2) B (3) C (4) E 60. The percentage decrease in the production of which type of car in 2017, with reference to 2016, was the maximum ? (1) C (2) A (3) E (4) D 61. In the year 2015, which type of car constitutes exactly 20% of the total number of cars produced that year ? (1) B (2) E (3) D (4) A 62. The percentage increase in the total cars in 2016 over 2012, is : (1) 62.33% (2) 45% (3) 33.33% (4) 50% 63. Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th number. If their

SGE/2020/ 8

average is 136, then the 6th number is : (1) 116 (2) 102 (3) 84 (4) 96 64. If the base radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9. then the ratio of their respective volumes is : (1) 2 : 1 (2) 1 : 4 (3) 4 : 1 (4) 1 : 2 65. A train crosses a pole in 12 seconds and a bridge of length 170 metre in 36 seconds. Then the speed of the train is : (1) 25.5 kmph (2) 30.75 kmph (3) 10.8 kmph (4) 32.45 kmph 66. A person sells an article at 10% below its cost price. Had he sold it for Rs. 332 more, he would have made a profit of 20%. What is the original selling price (in Rs.) of the article ? (1) 1,328 (2) 1,028 (3) 896 (4) 996 67. A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days, respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work is : (1) 11

(2) 13

1 5

(3) 18

(4) 15

1 2

68. Rs. 4,300 becomes Rs. 4,644 in 2 years at simple interest at a certain rate percent. Find the principal amount that will become Rs. 10,104 in 5 years at the same rate of interest. (1) Rs. 5,710 (2) Rs. 7,200 (3) Rs. 8,420 (4) Rs. 9,260 69. In ∆ABC, MN||BC, the area of quadrilateral MBCN = 130 sq.cm. If AN : NC = 4 : 5, then the area of ∆MAN is :

SOLVED PAPER–01

SOLVED PAPER–01

ENGLISH COMPREHENSION

A M

N

B

C

(1) 40 sq. cm. (2) 32 sq. cm. (3) 65 sq. cm. (4) 45 sq. cm. 70. The radius of a circular garden is 42 metre. The distance (in metre) covered by running 8 rounds around it, is :

FG Take π = 22 IJ H 7 K (1) 3248 (2) 2112 (3) 1124 (4) 4262 71. The ratio of the number of boys to the number of girls in a school of 640 students. is 5 :3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of girls, becomes 14 : 9 ? (1) 25 (2) 15 (3) 20 (4) 30 72. If A + B = 45°, then the value of 2(1 + tanA)(1 + tanB) is : (1) 4 (2) 1 (3) 2 (4) 0 73. If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%, then the area of the rectangle increases by x%. Then the value of x is : (1) 20 (2) 12 (3) 16 (4) 8 74. If x2a = y2b = z2c ≠ 0 and x2 = yz, then the value of

ab + bc + ca bc

is : (1) 3 (2) 3bc (3) 3ab (4) 3ac 75. If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be : (1) 4 (2) 1 (3) 2 (4) 0

76. Given below are four jumbled sentences. Select the option that gives their correct order A. However, the rate of population increase is another important factor to consider. B. This change can be expressed in two ways. C. Growth of population refers to the change in the number of inhabitants of a country. D. First, in terms of absolute numbers and second, in terms of percentage change. (1) CBDA (2) CADB (3) BADC (4) BDCA 77. Select the correct synonym of the given word. Obligatory (1) Reckless (2) Useless (3) Mandatory (4) Aggressive 78. Fill in the blank with the most appropriate word. We must ______ help to the homeless and physically disabled people. (1) render (2) contribute (3) donate (4) exert 79. In the sentence identify the segment which contains the grammatical error. One of the boys from our school have been selected for National Badminton Championship. (1) have been selected (2) from our school (3) for National Badminton Championship (4) One of the boys 80. Select the passive form of the given sentence. The manager keeps the work pending. (1) The work is kept pending by the manager. (2) The work was kept pending by the manager. (3) The work has been kept pending by the manager. (4) The work are being kept pending by the manager.

SGE/2020/ 9

81. Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement. The Director will agree with the proposal if we do not exceed the budget. (1) No Improvement (2) agree to the proposal (4) agree on a proposal (4) agreed by the proposal Directions (82–86) : In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank. Communication plays a (82) role in the overall development of man. It can be learnt by our (83) efforts. Today, success in our professional life depends on our (84) to read, write and speak well which results in effective communication. Barriers (85) communication hinder the communication process. It is very important to (86) these barriers so that the transmission of the message can be smooth. 82. (1) better (2) total (3) vital (4) lifeless 83. (1) unclear (2) conscious (3) contradictory (4) important 84. (1) variety (2) agility (3) facility (4) ability 85. (1)against (2) by (3) to (4) from 86. (1) strengthen (2) overcome (3) create (4) succeed 87. Select the correctly spelt word. (1) exhoust (2) exhibit (3) exhail (4) exteract 88. Select the appropriate meaning of the given idiom. To take French leave (1) Welcome the host (2) Acknowledge the host (3) Leave with written permission (4)Leave without any intimation

SOLVED PAPER–01 89. Select the correct synonym of the given word. Scintillating (1) Glittering (2) Boring (3) Stinging (4) Flattering 90. Select the word, which means the same as the given group of words. Something that cannot be heard (1) infallible (2) audible (3) inaudible (4) irrevocable 91. Fill in the blank with the most appropriate word. Handle this glass table with care because it is ______. (1) volatile (2) ductile (3) fragile (4) frugal 92. Select the correctly spelt word. (1) Humilliation (2) Bouquette (3) Sarcasm (4) Retalaite 93. Select the correct antonym of the given word. Exodus (1) Exit (2) Departure (3) Refund (4) Arrival 94. Select the correct antonym of the given word. Quiescent (1) Peaceful (2) Active (3) Dejected (4) Indifferent 95. Select the word, which means the same as the group of words given. A song sung at a burial (1) Sonnet (2) Ballad (3) Hymn (4) Dirge 96. In the sentence identify the segment which contains the grammatical error. I can swim very fast when I was only five. (1) very fast (2) I can swim (3) when I was (4) only five 97. Select the appropriate meaning of the given idiom. A hard nut to crack

SOLVED PAPER–01 (1) Easily encouraged (2) Easily disappointed (3) A difficult problem (4) Not restrained 98. Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement. The captain as well the players were responsible for winning the trophy. (1) No Improvement (2) The captain as well as the players was (3) As The captain with the players were (4) The captain also the players were 99. Given below are four jumbled sentences. Select the option that gives their correct order. A. However, they ignore the truth that progress and success are proportional to the labour they put in. B. The general human tendency is to find faults in the policies framed by the government. C. They blame the government for their slow progress, expecting miracles and magical transformation in their life. D. So people openly criticize and condemn the policy makers. (1) CDAB (2) BDCA (3) DBAC (4) ABCD 100. Select the indirect narration of the given sentence. He said to the hotel receptionist, “Can you tell me the tariff of rooms?’’ (1) He asked the hotel receptionist that if he can tell him the tariff of rooms. (2) He enquired the hotel receptionist if he can tell him the tariff of rooms. (3) He asked the hotel receptionist to tell him the tariff of rooms. (4) He asked the hotel receptionist if he could tell him the tariff of rooms.

SGE/2020/ 10

ANSWERS 1. (3)

2. (3)

3. (2)

5. (2)

6. (1)

7. (1)

4. (*) 8. (1)

9. (2)

10. (1)

11. (1)

12. (4)

13. (3)

14. (4)

15. (4)

16. (2)

17. (2)

18. (3)

19. (3)

20. (3)

21. (1)

22. (1)

23. (1)

24. (3)

25. (3)

26. (4)

27. (3)

28. (4)

29. (2)

30. (2)

31. (3)

32. (3)

33. (2)

34. (3)

35. (3)

36. (3)

37. (1)

38. (4)

39. (2)

40. (1)

41. (4)

42. (3)

43. (1)

44. (4)

45. (4)

46. (1)

47. (2)

48. (4)

49. (1)

50. (2)

51. (3)

52. (2)

53. (3)

54. (1)

55. (4)

56. (4)

57. (1)

58. (2)

59. (1)

60. (2)

61. (2)

62. (4)

63. (2)

64. (2)

65. (1)

66. (4)

67. (2)

68. (3)

69. (2)

70. (2)

71. (3)

72. (1)

73. (2)

74. (1)

75. (4)

76. (1)

77. (3)

78. (1)

79. (1)

80. (1)

81. (2)

82. (3)

83. (2)

84. (4)

85. (3)

86. (2)

87. (2)

88. (4)

89. (1)

90. (3)

91. (3)

92. (3)

93. (4)

94. (2)

95. (4)

96. (2)

97. (3)

98. (2)

99. (2)

100. (4)

EXPLANATIONS 1. (3)

2. (3) Obviously, Submarine is different from the other three words. Submarine is a ship that can travel under water. Ferry, Ship and Yacht move on the surface of water. 3. (2) 9 + 7 × 5 – 18 ÷ 2 = 3 × 4 – 10 + 45 ÷ 5 ⇒ 9 + 4 × 5 – 18 ÷ 2 = 3 × 7 – 10 + 45 ÷ 5 ⇒ 9 + 20 – 9 = 21 – 10 + 9 ⇒ 20 = 30 – 10 ⇒ 20 = 20

SOLVED PAPER–01

SOLVED PAPER–01

4. (*) B

A

C

T S

U V W

R

Q P

2. Rigidly

D E F G

O X N

Z

M

H I

Y

J K

L

The rectangles are : ABUT; TUWS; SWQR; ABWS; TUQR; ABQR; ACER; BCDV; VDEQ; QEFP; PFGO; OGYN; NYLM; BCEQ; BCFP; BCGO; BCYN; BCLM; VDFP; VDGO; VDYN; VDLM; QEGO; QEYN; QELM; PFYN; PFLM; OGLM; GHIX; XIJZ; ZJKL; GHJZ; XIKL; GHKL; OHKM Thus, there are altogether 35 rectangles in the given figure. 5. (2) From the two positions of the same dice, it is clear that 1 is opposite 6. 6. (1) The circle and the plus sign (+) move one step in anticlockwise direction in each subsequent figure and circle becomes white alternately. The square moves one step in clockwise direction and becomes shaded alternately. 7. (1) W +2

A –3

Y

X

R +4

V

D –5

Y

R +6

O –7

B +8

E –9

X

H

J

V

R

A

T

E

4. Rigour 9. (2)17 + (2)2 = 21 21 + (3)2 = 30 30 + (4)2 = 46 46 + (5)2 = 71 71 +

+2

C –3

C

Z

C +4

G

U –5

P

+6

X

–7

T

+8

B

8. (1) Arrangement of words as per order in the Dictionary : 3. Righteous

1. Rightly

18. (3) C

= 107

Y ; G

T

N

M ; S

H

D

W ; I

R

But, The opposite letter of F is U. The opposite letter of K is P. 11. (1) A clock shows time. Similarly, an Ammeter shows strength of current. 12. (4) Both the statements 1 and 2 are Particular Affirmative (Itype). No Conclusion follows from the two Particular Premises. Conclusion I and Conclusion II form Complementary Pair. Therefore, either Conclusion I or Conclusion II follows. 13. (3) 12 × 22 ×

12 = 72 2

22 = 242 2

Similarly, 18 ×

+5

X –3

B

–9

V

(6)2

⇒ ? = 98 – 7 = 91

10. (1) Except letter-cluster FVKO, in all other letter-clusters, two pairs of opposite letters are given.

Therefore, A

17. (2) First Column 6 × 8 – 8 = 48 – 8 = 40 Second Column 21 × 25 – 25 = 525 – 25 = 500 Third Column ? = 14 × 7 – 7

18 = 162 2

14. (4) Medicine is taken to cure disease. Similarly, food is taken to satiate hunger. 15. (4)

B

+7

m m k l l /k k l m m

SGE/2020/ 11

+5

U –3 I

+7

M

+5

R –3 P

+7

R

+5

O –3 W

+7

W L D

19. (3) (269, 278, 296) ⇒ 269 + 9 = 278 And, 269 + 27 = 296 Similarly, (313, 322, 340) ⇒ 313 + 9 = 322 And, 313 + 27 = 340 20. (3) Female executives can be represented by the number common to the triangle and the circle. Such number is ‘5’. 21. (1) H ⇒ 8 + 2 = 10 A⇒1+2=3 R ⇒ 18 + 2 = 20 V ⇒ 22 + 2 = 24 E⇒5+2=7 S ⇒ 19 + 2 = 21 T ⇒ 20 + 2 = 22 Now, the code is reverse order of the numbers. 22 – 21 – 7 – 24 – 20 – 3 – 10 Therefore, F⇒6+2=8 A⇒1+2=3 R ⇒ 18 +2 = 20 M ⇒ 13 + 2 = 15 E⇒5+2=7 R ⇒ 18 + 2 = 20 The code would be : 20 – 7 – 15 – 20 – 3 – 8 22. (1) 67 – 76 + 43 = 100 ⇒ 76 + 67 – 43 = 100 ⇒ 143 – 43 = 100 ⇒ 100 = 100

16. (2) k k l m m/l l m k k / 5. Rights

H

23. (1)

SOLVED PAPER–01 24. (3) Suppose, the present age of Asha = 5x years Present age of Lata = 6x years According to the question, 6x – 5x = 6 ⇒x=6 ∴ Lata’s age after 5 years = 6 × 6 + 5 years = 36 + 5 years = 41 years 25. (3) Sonia is the daughter of Satish’s father. Therefore, Sonia is sister of Satish. Amit is brother of Sonia. Jyoti is mother of Sonia, Satish and Amit. Nikita is sister of Jyoti. Jyoti and Nikita are daughters of Kavinder. Therefore, Satish is grandson of Kavinder. 26. (4) The acquisition of 21st Century Fox by Disney took place on March 20, 2019 • The acquisition also included the 20th Century Fox film and television studios of Fox Networks Group. 27. (3) Savitribai Phule was an Indian social reformer, educationalist, and poet from Maharashtra. • Savitribai Phule is known as India's first female teacher. • She helped her husband Jyotirao Phule to establish the first school for girls. 28. (4) Repo rate is the rate at which the central bank of a country lends money to commercial banks in the event of any shortfall of funds. • Reverse Repo rate is the short term borrowing rate at which RBI borrows money from banks. • Repo rate and Reverse Repo rate is fixed by Reserve Bank of India in India. 29. (2) The Great Stupa and other Buddhist monuments at Sanchi were discovered in 1818. • It was commissioned by Emperor Ashoka of the Maurya Dynasty. • It is currently preserved by the Archeological Survey of India.

SOLVED PAPER–01 30. (2) Gotabaya Rajapaksha is the current president of Sri Lanka. • He was elected to power on November 16, 2019. • Maithripala Sirisena was the 7th President of Sri Lanka. 31. (3) The World Food Programme is the food-assistance branch of the United Nations. • It is the world's largest humanitarian organization addressing hunger and promoting food security. • It’s headquarter is in Rome, Italy. 32. (3) There are three tiny bones in the middle ear of human. • These are the malleus or hammer the incus or anvil and the stapes or stirrup. • The femur is the only bone located within the human thigh. • It is both the longest and the strongest bone in the human body. 33. (2) Mission Mangal is a 2019 Indian Hindi-language drama film directed by Jagan Shakti. • Akshay Kumar and Vidya Balan played the lead role in the film. 34. (3) Bhupesh Baghel is the current Chief Minister of Chhattisgarh. • He is serving as the third Chief Minister of Chhattisgarh. 35. (3) Araku Valley is a hill station in Visakhapatnam district of Andhra Pradesh, • It is 111 km west of Visakhapatnam city. • This place is often referred to as Ooty of Andhra. 36. (3) A 28% Goods and Services Tax (GST) is levied on lotteries prize. • 18% GST is levied on Hair oil, toothpaste and soaps, capital goods and industrial intermediaries. 37. (1) Virat Kohli scored four double centuries in four consecutive series against the West Indies, New Zealand, England and Bangladesh. • He is the currently only batsman to do so.

SGE/2020/ 12

38. (4) Dry ice is just cooled condensed and solid form of carbon dioxide. • It turns directly into carbon dioxide gas rather than a liquid. • It is used primarily as a cooling agent. 39. (2) Prime Minister Narendra Modi inaugurated the Kartarpur corridor on 9 November 2019. • He flagged off the first batch of over 500 Indian pilgrims to Kartarpur. • Kartarpur lies on the banks of river Ravi. • It is the last resting place of Guru Nanak Dev. 40. (1) Hampi is situated on the banks of the Tungabhadra River in the eastern part of central Karnataka. • The Hampi monuments are the UNESCO world heritage site. • They are a subset of the wider-spread Vijayanagara ruins. 41. (4) The Sahitya Academy Award is a literary honor in India. • It is annually conferred on writers of the most outstanding books of literary merit published in any of the major Indian languages. • Shashi Tharoor Won Sahitya Akademi Award for His Book 'An Era of Darkness:The British Empire in India. 42. (3) Harika Dronavalli is an Indian chess grandmaster. • She was conferred with the Padma Shri Award on 11th March 2019. • She has won three bronze medals in the Women's World Chess Championship, in 2012, 2015 and 2017. 43. (1) Kolattunadu was a kingdoms on the Malabar Coast during the arrival of Portuguese Armadas to India. • Thekkumkur was an independent kingdom in the southern part of Kerala in India from 1103 CE until 1750 CE. • Valluvanad, was country in

SOLVED PAPER–01 south India, in the Bhar athapuzha river basin in present-day central Kerala. 44. (4) Food passes through the esophagus, then moves into the crop where it is stored and then eventually moves into the gizzard. • Gizzard is a muscular chamber where mechanical digestion occurs. • Here the food is pulverized with the aid of small bits of sand and gravel 45. (4) In 1615, Sir Thomas Roe, an English emissary of King James I reached out to the court of Mughal emperor Jahangir. • Jahangir was the fourth Mughal Emperor, who ruled from 1605 until his death in 1627. 46. (1) Cynology is the study of matters related to canines or domestic dogs. • Craniology is the study of differences in shape, size and proportions among skulls from various human races. • Carpology is the branch of botany dealing with fruits and seeds. 47. (2) M. F. Husain was an Indian painter, regarded as India's most prolific and world-renowned artist. • He was one of the founding members of Bombay progressive Artists' Group. • He is known for his brightly colored works depicting horses, urban landscapes. 48. (4) James Chadwick was a British physicist who was awarded the 1935 Nobel Prize in Physics for his discovery of the neutron in 1932. • Max Planck, a German physicist, is best known as the originator of the quantum theory of energy. • He was awarded the Nobel Prize in 1918 for this work. • Enrico Fermi was the creator of the world's first nuclear reactor, the Chicago Pile-1.

SOLVED PAPER–01 • He has been called the "architect of the nuclear age" and the "architect of the atomic bomb". 49. (1) Qaboos bin Said was the Sultan of Oman from 23 July 1970 until his death. • He was the longest-serving leader in the Middle East and Arab world. 50. (2) Some Books by Salman Rushdie are: • Midnight's Children • The Satanic Verses • The Portable Atheist • Two Years Eight Months and Twenty-Eight • The Golden House • Shame.

18 x2 6×6 = = 11 yz 2 × 11

∴ 53. (3)

A

E

B

51. (3)

O C

B A

Given, ∠COA = 130° Q OC = OA = radii of circle ∴ ∠OCA = ∠OAC =

= 19 – 8 = 11 y = (x + y + z) – (x + z) = 19 – 17) = 2 x = (x + y + z) – (y + z) = 19 – 13 = 6

1 (180° – 130°) 2

D

C

DE||AC ∠BDE = ∠BCA ∠BED = ∠BAC ∴ By AA– similarity theorem, ∆BDE ~ ∆BCA ∴

=

Area of ∆BDE Area of ∆ABC

BD2 2

BC

=

1 BC2 1 = . 4 BC2 4

1 = × 50 = 25° 2

[ Q 2BD = BC]

∠AOB = 110° OA = OB ∴ ∠OAB = ∠OBA

∴ Area of ∆BDE =

=

1 (180° – 110°) 2

=

1 × 70° = 35° 2

∴ ∠BAC = ∠OAC + ∠OAB = 25° + 35° = 60° 52. (2) x + y = 8, y + z = 13, x + z = 17 ∴x+y+y+z+z+x = 8 + 13 + 17 = 38 ⇒ 2(x + y + z) = 38 ⇒x+y+z =

38 = 19 2

∴ z = (x + y + z) – (x + y)

SGE/2020/ 13

1 × 44 4

= 11 sq. cm. 54. (1) S.P. of article = (100 – 28)% of M.P. = Rs.

FG 224 × 72 IJ H 100 K

Profit = 12% ∴ C.P. of article =

224 × 72 100 × = Rs. 144 100 112

LMC. P. of article = M.P.×(100 – discount%) OP 100 + profit% N Q 55. (4) Q 6tanA = 5 ⇒ tanA = ∴ Expression =

5 6

8sinA − 4cosA cosA + 2sinA

SOLVED PAPER–01

SOLVED PAPER–01 Productions in these years of :

8sinA 4cosA − cosA = cosA cosA 2sinA + cosA cosA

Car D ⇒ 40 + 35 = 75 thousands Car B ⇒ 18 + 43 = 61 thousands Car C ⇒ 32 + 26 = 58 thousands

[Dividing numerator and denominator by cosA] 5 8× −4 8 tan A − 4 6 = = 5 1 + 2 tan A 1+ 2 × 6

Car A ⇒

20 20 − 12 −4 8 3 3 = =1 = 5 = 3+5 8 1+ 3 3 56. (4) x = 4cosA + 5 sinA y = 4sinA – 5cosA ∴ x2 + y2 = (4cosA + 5sinA)2 + (4sinA – 5cosA)2 = 16cos 2 A + 25sin 2 A + 40sinA.cosA + 16sin 2 A + 25cos2A – 40 sinA.cosA = 16 cos2A + 16sin2A + 25 sin2A + 25cos2A = 16(cos2A + sin2A) + 25 (sin2A + cos2A) = 16 + 25 = 41 [Q sin2A + cos2A = 1] 57. (1) Expression =

42 – 12 × 3 + 8 + 2 + 15 8×2– 4+9÷3

=

42 + 4 − 16 – 15 4 + 4 – 27

−15 46 – 31 = 19 –19 58. (2) It is given, x – y = 4......(i) and xy = 45......(ii) ∴ x3 – y3 = (x – y)3 + 3xy (x – y) = (4)3 + 3 × 45 (4) = 64 + 540 = 604 59. (1) Total production of cars in 2013 and 2014 = (130 + 170) thousands = 300 thousands

= 75 thousands

24 × 100 200 2 = = 66 % 36 3 3

Car E ⇒

FG 50 – 28 IJ × 100 H 50 K

= 22 × 2 = 44% 61. (2) Total production of cars in 2015 = 100 thousands

300 4

∴ Speed = ⇒

= 20 thousands Required answer = Car E 62. (4) Required percentage increase =

⇒ 3x = x + 170 ⇒ 2x = 170 ⇒ x =

100 = 50% 2

∴ Speed of train =

x 85 = metre/second 12 12

=

FG 85 × 18 IJ kmph H 12 5 K

=

51 = 25.5 kmph 2

2

=

x × 120 12x 9x + 332 = = 10 100 10

⇒

12 x 9x = 332 – 10 10

⇒

3x = 332 10

⇒ 3x = 3320

64. (2) Volume of cylinder = πr2h

F 3I = G J H 4K

9x 10

According to the question,

816 ⇒x= = 102 8

V1 = V2

170 2

= 85 metre

First S.P. = Rs.

63. (2) Let, the sixth number = x

∴

x + 170 3

66. (4) C.P. of article = Rs. x (let)

FG 180 – 120 IJ × 100 H 120 K

πr12h1 πr22h 2

Distance Time

x x + 170 = 12 36

⇒x=

20% of 100 thousands

Sum of first 5 numbers + 6th number = 136 × 6 = 816 ⇒ 7x + x = 816 ⇒ 8x = 816

=

25% of 300 thousands =

FG 36 – 12 IJ × 100 H 36 K

According to the question,

Expression 42 + 12 ÷ 3 – 8 × 2 – 15 8 ÷2+ 4 –9×3

=

=

Changing correspoinding signs

=

Car E ⇒ 18 + 34 = 52 thousands 60. (2) Percentage decrease in production :

Distance covered in crossing a bridge = length of train and bridge = (x + 170) metre

Fr I GH r JK 1

2

2

×

h1 h2

4 9 4 × = × 9 16 9

=1:4 65. (1) Let, the length of train = x metre Distance covered in crossing a pole = x metre

SGE/2020/ 14

⇒ x = Rs.

3320 3

∴ Initial S.P. =

9 3320 × = Rs. 996 10 3

67. (2) Work done by B and C in 3 days

FG 1 + 1 IJ H 15 12 K F 4 + 5 IJ = = 3GH 60 K = 3

9 20

SOLVED PAPER–01

SOLVED PAPER–01

Remaining work ⇒

9 11 = = 1– 20 20

∴ Time taken by A in doing

=

11 th work 20

⇒

1 11 66 × 24 = = = 13 days 20 5 5 68. (3) S.I. for 2 years = Rs. (4644 – 4300) = Rs. 344 Interest × 100 ∴ Rate = Principal × Time

=

344 × 100 = 4% p.a. 4300 × 2

Area of

MNBC

Area of

AMN

130 65 = Area of ∆AMN 16

=

130 × 16 = 32 sq.cm. 65

70. (2) Distance covered in running 8 rounds of the circular garden = 8 × circumference of garden

50520 ⇒ 6P = 50520 ⇒ P = 6 = Rs. 8420 69. (2)

Let x new boys be admitted. 400 + x 14 = ∴ 240 + 30 9

⇒

400 + x 14 = 270 9

⇒

400 + x = 14 30

⇒ 400 + x = 420 ⇒ x = 420 – 400 = 20 72. (1) A + B = 45° ⇒ tan(A + B) = tan45° = 1

N

M

B

⇒

C

MN||BC ∴ ∠AMN = ∠ABC ∠ANM = ∠ACB By AA– similarity theorem, ∆AMN ~ ∆ABC Area of ∆ABC AC2 = = Area of ∆AMN AN 2

⇒

FG 9 IJ H 4K

2

[ Q AN + NC = AC]

Area of ∆ ABC 81 −1 –1 = Area of ∆AMN 16

1

tanA + tanB =1 1 − tanAtanB

⇒ tanA + tanB = 1–tanAtanB ⇒ tanA + tanB + tanA.tanB = 1 ⇒ 1 + tanA + tanB + tanA.tanB =2 ⇒ 1(1 + tanA) + tanB (1 + tanA) =2 ⇒ (1 + tanA) (1 + tanB) = 2 ⇒ 2(1 + tanA) (1 + tanB) =2×2=4 73. (2) Percentage effect on the area of rectangle = (a + b +

ab )% 100

SGE/2020/ 15

1

1

⇒ x = k 2a , y = k 2b ; z = k 2c ∴ x2 = yz

F GG H

1

⇒ k 2a

I JJ K

2

1

1

1

= k 2b × k 2c = (k ) 2b

⇒

2 1 1 = + 2a 2b 2c

⇒

c +b 1 = a 2bc

+

1 2c

⇒ ac + ab = 2bc .....(i) ∴

ab + bc + ca 2bc + bc = bc bc

=

3bc =3 bc

5 × 640 = 400 8

Girls = 640 – 400 = 240

A

81 16

22 × 42 7

71. (3) Initially, Boys =

40 × 20 )% 100

⇒ x = 12 74. (1) x2a = y2b = z2c = k (Let)

⇒ Area of ∆AMN

∴ Interest = Rs. (10104 – P) P ×4×5 P = ∴ 10104 – P = 5 100 ⇒ 50520 – 5P = P

= (40 – 20 –

⇒ (20 – 8%) = 12% = x%

= 2112 metre

Principal = Rs. P (let)

=

81 − 16 16

65 16

= 8 × 2πr = 8 × 2 ×

Case II,

∴

=

75. (4) The given number 1005x4 will be divisible by 8 if 5x4 is divisible by 8. For x = 0, 504 ÷ 8 = 63 77. (3) Obligatory (Adjective) = that you must do; compulsory; mandatory; required. Look at the sentence : The medical examination before you start work is obligatory. Reckless (Adjective) = heedless of danger; rash; careless. Aggressive (Adjective) = ready to confront; hostile; belligerent. 78. (1) Render (Verb) = to give help etc. to somebody. Contribute (Verb) = give in order to help; give; donate. Exert (Verb) = to affect somebody/something; to make a big effort. 79. (1) Look at the structure : One of + plural noun/pronoun + singular verb Hence, has been selected ........ will be used here.