STAFF SELECTION …...1) Red Phosphorus 2) Osmium 3) Selenium 4) White Phosphorus 32. Which among...

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STAFF SELECTION COMMISSIONCOMBINED GRADUATE LEVEL (TIER - I) MOCK TEST

No. of Questions: 100 Maximum Marks: 200 Time: 75 mts.

GENERAL INTELLIGENCE & REASONING

1. Select the related word from the given alternatives.

CLAW : CAT : : ? : EAGLE

1) PAW 2) HOOF 3) TALON 4) NAIL

2. Select the set of related letters from the given alternatives.

KOTJ : BFKA : : RVAQ : ?

1) IHNL 2) IMRH 3) IKMJ 4) IKMH

3. Select the related number from the given alternatives.

1520 : 39 : : 1680 : ?

1) 40 2) 44 3) 49 4) 41

4. Find the odd word from the given alternatives.

A) Guitar B) Cello C) Sarod D) Piano

1) A 2) C 3) D 4) B

5. Find the odd set of letters from the given alternatives.

A) JQKP B) BYCX C) HRGS D) GTHS

1) A 2) B 3) D 4) C

6. Find the odd number from the given alternatives.

A) 250 B) 530 C) 290 D) 170

1) B 2) A 3) D 4) C

7. Which one of the given responses would be an order of the following words according to their positionin the English Dictionary?

1) Ecosystem 2) Economics 3) Electrician 4) Effective

5) Efficient

1) 2, 4, 3, 1, 5 2) 2, 3, 5, 1, 4 3) 2, 1, 5, 3, 4 4) 2, 1, 4, 5, 3

8. A series is given, with one term missing. Choose the correct alternative from the given ones that willcomplete the series.

adj, cfl, gjp, mpv, ?

1) uxd 2) qtz 3) psv 4) rwc

9. A series is given, with one term missing. Choose the correct alternative from the given ones that willcomplete the series.

1, 7, 19, 37, 61, 91, ?

1) 101 2) 121 3) 127 4) 111

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www.eenadupratibha.netR-25,26,27,28,29-4-17

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10. Aman said to a boy, "Your mother's mother is the wife of my sister's father". How is Aman's daughterrelated to the boy's mother?

1) Nephew 2) Paternal aunt 3) Maternal aunt 4) Niece

11. Two trains 250 m long and 300 m long are running in opposite directions at 95 km/hr and 125 km/hrrespectively. What is the time required by them to cross each other?

1) 5 seconds 2) 18 seconds 3) 11 seconds 4) 9 seconds

12. From the given alternative words, select the word which cannot be formed by using the letters of thegiven word:

BENEFACTORS

1) RESONATE 2) CARROT 3) SEABORNE 4) FORECAST

13. If TRANSLATE is coded as NARTSETAL, then how will OXAZEPAMS be coded?

1) ZAXEOSMAP 2) ZAXOESMAP 3) ZAXOESAMP 4) ZXAOESMPA

14. If (+) stands for division, (×) stands for subtraction, (−) stands for addition and (÷) stands formultiplication, then which of the following options is true?

1) 75 ÷ 3 − 25 × 2 + 7 = 10 2) 75 × 25 × 5 + 2 − 7 = 10

3) 75 − 15 × 3 + 2 − 7 = 10 4) 75 + 15 ÷ 3 − 2 × 7 = 10

15. If 4 ÷ 5 = 29, 3 ÷ 2 = 11 and 11 ÷ 3 = 47. Then find the value of 15 ÷ 17 = ?

1) 280 2) 287 3) 278 4) 260

16. Find the missing term from the given responses.

1) 120 2) 135 3) 160 4) 150

17. Ankur starts from his house and walks 250 m south then he turns right and walks 400 m to reach a shop.From the shop he again walks southward for 750 m to reach the temple. Later he walks westward for 400 m to reach the bank. From the bank he again turns south and walks for 500 m to reach his office.How far is Ankur's office from his house?

1) 1600 m 2) 1500 m 3) 2100 m 4) 1700 m

18. Consider the given statements to be true and decide which of the given conclusions can be derived fromthe given statements.

Statements: All pens are bottles.

All bottles are green.

Conclusion I: Some pens are green.

Conclusion II: All pens are green.

1) Only conclusion I follows.

2) Only conclusion II follows.

3) Both conclusion I and conclusion II follow.

4) Neither conclusion I nor conclusion II follows.



2 4 8

3 9 27

5 25 125

10 38 ?

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19. How many triangles are there in the given figure?

1) 11 2) 12 3) 10 4) 13 or more

20. Out of 70 children in a group 37 like to sing and 48 like to dance whereas 25 like to dance and sing.How many neither like to dance nor like to sing?

1) 15 2) 20 3) 10 4) 25

21. Which answer figure will complete the pattern in the question figure?

Question Figure:

Answer Figures:

1) 2) 3) 4)

22. A piece of paper is folded and cut as shown below in the question figures. From the given answerfigures, find how it will appear when opened.

Question Figure:

Answer Figures:

1) 2) 3) 4)

23. From the given answer figures, select the one in which the question figure is hidden/ embedded.

Question Figure:

Answer Figures:

1) 2) 3) 4)



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24. If a mirror is placed on the line MN, then which of the answer figures is the right image of the givenquestion figure?

Question Figure:

Answer Figures:

1) 2) 3) 4)

25. In the question, a word is represented by only one set of numbers as given in any one of thealternatives. The sets of numbers given in the alternatives are represented by two classes of alphabetsas in two matrix given below. The columns and rows of matrix I are numbered from 0 to 4 and that ofmatrix II are numbered from 5 to 9. A letter from these matrices can be represented first by it's row andnext by it's column, e.g., 'A' can be represented by 01, 14 etc. and 'E' can be represented by 55, 66 etc.Similarly, you have to identify the set for the word 'GLAZE.'

1) 34, 65, 14, 23, 77 2) 42, 89, 01, 33, 79

3) 34, 66, 43, 04, 88 4) 00, 78, 30, 12, 99

GENERAL AWARENESS

26. Musical instrument "Sitar" was invented by:

1) Tansen 2) Baiju Bawra 3) Amir Khusru 4) Mirabai

27. The country Bharatavarsha was eventually named after the term Bharata, which appears first in.

1) Sama Veda 2) Rig Veda

3) Yajur Veda 4) Atharwana Veda

28. The greatest diversity among plants and animal species are found in.

1) Tropical Rain Forest 2) Moist Deciduous Forests

3) River Basin 4) Polar Region

29. Which of the following article deals with Suspension of the enforcement of the rights conferred by PartIII of constitution during emergencies?

1) Article 116 2) Article 357 3) Article 359 4) Article 393

30. In 2016 Yoshinori Ohsumi has won the Nobel Prize for physiology or Medicine for his pioneering workon autophagy. He belongs to-

1) South Korea 2) Japan 3) Vietnam 4) China



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31. Which of the following element glows in dark, when kept exposed to oxygen?

1) Red Phosphorus 2) Osmium 3) Selenium 4) White Phosphorus

32. Which among the following hormones helps in the ripening the fruits?

1) Auxins 2) Ethylene 3) Cytokinins 4) Florigene

33. Which state has won 'Best Horticulture State' award of the Indian Council of Food and Agriculture(ICFA)?

1) Sikkim 2) Haryana 3) Manipur 4) Mizoram

34. For a body orbiting around the Sun, the point of least distance is known as-

1) Apogee 2) Perigee 3) Aphelion 4) Perihelion

35. What do you understand by "Himadri"?

1) India's space station

2) A hill station in Uttarakhand

3) The northern most range of Himalayas

4) The Outermost southern range of Himalayas

36. What is India's rank in the World Bank's 2016 Logistics Performance Index (LPI) among 160countries?

1) 35th 2) 44th 3) 48th 4) 54th

37. Keratomalacia is an eye disorder caused due to the deficiency of

1) Vitamin A 2) Vitamin B 3) Vitamin C 4) Vitamin D

38. In the age of Gautama Buddha how many Mahajanpads were there altogether?

1) 8 2) 12 3) 16 4) 20

39. What is the legal extent of territorial water as defined by the 1982 United Nations Convention on theLaw of the Sea?

1) 5 Nautical Miles 2) 10 Nautical Miles

3) 12 Nautical Miles 4) 16 Nautical Miles

40. "Insider trading in India" is related with

1) Taxation 2) Public Expenditure

3) Public Debt 4) Share Market

41. The term Judicial Activism is related with

1) Right to Education 2) Right to Information

3) Public Interest Litigation 4) First Information Report

42. What is the purpose of National Career Service (India) (NCS) scheme.

1) National Career Service portal acts as a common platform for Job-seekers, employers, skillproviders, govt. departments, placement organizations and counsellors.

2) National Career Service portal has been launched to provide skill development to minority in India.

3) National Career Service portal has been launched to promote NCERT Education across northeastern states of India

4) None of the above



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43. Tulbul project is on the river

1) Sutlej 2) Chenab 3) Beas 4) Jhelum

44. The headquarters of Indian Veterinary Research Institute (IVRI) is at

1) Karnal 2) Sholapur 3) Jamnagar 4) Bareilly

45. The larva of honey bee is known as

1) Royal Jelly 2) Grub 3) Pupa 4) Napital

46. Which of the following delivers nutrient rich blood from stomach and small intestine to the liver?

1) Hepatic Portal Vein 2) Left Hepatic Artery

3) Right Hepatic Artery 4) Hepatic Vein

47. Which of the following demonstrate the transverse nature of light?

1) Inference 2) Diffraction 3) Refraction 4) Polarization

48. The most important public place of Indus Valley Civilization "Great Bath" belonged to

1) Lothal 2) Kalibangan 3) Mohenjo-Daro 4) Banwali

49. Recently India Innovation Index is launched by whom among the following?

1) NITI Aayog

2) Ministry of Finance

3) Ministry of HumanResource and Development

4) Ministry of Social Justice and Empowerment

50. The science of vegetable growing, dealing with the culture of non-woody (herbaceous) plants for foodis known as-

1) Horticulture 2) Viticulture 3) Floriculture 4) Olericulture

QUANTITATIVE APTITUDE

51. The sum and the difference of two positive integers are respectively 166 and 8. What is the sum ofsquare of these numbers?

1) 13810 2) 24960 3) 30270 4) 27556

52. The difference between the selling prices of two articles, with same cost price, sold at 4% and 8%profits is Rs.3.75. The selling price of the dearer article is

1) Rs.97. 50 2) Rs.93.75 3) Rs.101.25 4) Rs.7.25

53. In a school there are 1200 students, out of whom 55 percent are girls. Monthly fee of each boy is Rs.750and monthly fee of each girl is 20 percent less than each boy. What is the monthly revenue generatedby the school from all the students?

1) Rs.7,91,000 2) Rs.8,11,000 3) Rs.8,01,000 4) Rs.8,21,000

54. A train of length 105 m takes 45 sec to cross a bridge of length 210 m. What is the speed of the trainin km/hr?

1) 24.8 2) 25.2 3) 32.2 4) 25.4

55. Simplify the question

(0.87 + 0.13)2 − (0.87 − 0.13)2⎯⎯⎯⎯⎯

0.2262

1) 4 2) 1 3) 8 4) 2



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1 156. If, x + ⎯ = 1 then the value of x7 + ⎯ isx x7

1) 4 2) −2 3) −1 4) −4

57. In a circle, two arcs of unequal lengths subtend 60° and 105° at the center. If the length of the smallerarc is 7 cm, then the length of larger arc is

1) 12.25 cm 2) 9 cm 3) 11.15 cm 4) 10.25 cm

58. The length of three sides of a right angled triangle are x, (x − 7) and (x + 2) cm respectively. What isthe value of x?

1) 3 2) 17 3) 13 4) 15

3 cot 30°− 5 cos 30° + 3 sin 30°59. The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ is

sin 60° + tan 60°− 3 cos 60°

2 2 1) √

⎯3 (2 + √

⎯3 ) 2) ⎯ + 1 3) 1 − ⎯ 4) √

⎯3 (2 − √

⎯3 )

√⎯3 √

⎯3

360. P, Q and R together can complete a work in 9 ⎯ days. If P and R together can complete the same

4

3work in 15 ⎯ days, then in how many days can Q alone finish the work?

4

17 19 191) 24 ⎯ 2) 25 ⎯ 3) 24 ⎯ 4) √

⎯3 (2 − √

⎯3 )

32 32 32

61. The diameters of two cones whose volumes are equal, is in the ratio 2 : 3. The ratio of their height is

1) 2 : 3 2) 4 : 9 3) √⎯2 : √

⎯3 4) 3 : 2

62. A trader marks his goods 37.5% above the cost price and allows a discount of 20 percent. He

1) earns a profit of 10% 2) suffers a loss of 6%

3) earns a profit of 8% 4) suffers a loss of 10%.

63. A bicycle covers a distance of 278.6 metres in 3 minutes whereas a motorcycle covers 40% of thedistance covered by bicycle in 1 minute 12 sec. The ratio of their speeds is

1) 2 : 3 2) 1 : 3 3) 1 : 1 4) 3 : 5

64. Three years hence, the average age of A, B and C will be 24 years. If A is five years older than B andC is two years older than A, then the sum of the ages of A six years ago and that of C five years hencewill be

1) 45 years 2) 46 years 3) 41 years 4) 43 years

65. If a − b = c and a2 + b2 + c2 = 4, then the value of(ab − bc + ac) is

1) −1 2) 0 3) 2 4) − 2

p q 66. If ⎯ + ⎯ = −1, then the value of (p3 − q3) is

q p

1) 0 2) 1 3) 2 4) − 2

67. If O is the centre of a circle of radius 7 cm. A point P is taken at a distance of 25 cm from O. From P,tangents PR and PQ are drawn to the circle. Then, the area of quadrilateral PQOR is

1) 340 cm2 2) 175 cm2

3) 500 cm2 4) 168 cm2



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68. In ∆ABC , P and Q are points on sides AC and AB respectively such that ∆ABC ≈ ∆APQ. If AQ =3 cm, AP = 2 cm and BQ = 4 cm, then the length of CP (in cm) is

14 8 4 71) ⎯ 2) ⎯ 3) ⎯ 4) ⎯

3 3 3 3

69. If 3 sin θ + 4 cos θ = 5 (0 < θ < 90°), then the value of cosec θ + tan θ is

32 41 25 291) ⎯ 2) ⎯ 3) ⎯ 4) ⎯

15 20 12 12

70. From a point P on the ground, the angle of elevation of the top of a tower is 30°. Moving a certaindistance towards the tower, the angle of elevation of the top of the tower becomes 45°. If the height ofthe tower is 'h' metres, then how far is the second point on the ground from the initial point ofobservation?

√⎯3 + 1

1) √⎯3 h m. 2) (√

⎯3 + 1) h m. 3) (√

⎯3 − 1) h m. 4) (⎯) h m.

2

71. There is 20% increase in an amount in 4 years at simple interest. What will be the compound interestreceived on Rs.87,500 after 2 years at the same rate?

1) Rs.8,948.25 2) Rs.8,968.75 3) Rs.8,968.25 4) Rs.8,948.75

72. The following pie-chart shows the percentage distribution of the expenditure of a family on variousitems in a particular year. Study the pie-chart and answer the question based on it.

If the monthly income of the family is Rs. 25,000, then during the year the ratio of the total amountspent on food and the savings is

1) 1 : 4 2) 5 : 8 3) 3 : 1 4) 5 : 3


If the total expenditure of the family during the year was Rs.1,47,000, then the amount spent on rentwas

1) Rs.30,870 2) Rs.31,770 3) Rs.30,770 4) Rs.32,500



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74. The following pie-chart shows the percentage distribution of the expenditure of a family on ariousitems in a particular year. Study the pie-chart and answer the question based on it.

The central angle of the pie-chart representing expenditure on transport is

1) 50.6° 2) 50.4° 3) 50.1° 4) 50.7°


If the difference in the amounts spent on transport and other items was Rs.1,170, then how much wasspent on rent?

1) Rs.2,730 2) Rs.2,520 3) Rs.3,250 4) Rs.2,950

ENGLISH COMPREHENSION

76. In the following question, out of the four alternatives, choose the word which best expresses themeaning of the word in bold.

ANNIHILATION

1) Formation 2) Renovation

3) Recuperation 4) Dissolution

77. In the following question, out of the four alternatives, choose the word which is opposite to the wordgiven in bold.

FISSURE

1) Fetish 2) Unity 3) Puncture 4) Facile

78. Four words are given, out of which only one word is spelt correctly. Choose the correctly spelt word.

1) Halucinate 2) Helucinate 3) Hallucinete 4) Hallucinate



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79. In the following questions, one part of the sentence may have an error. Find out which part of thesentence has an error and choose the appropriate option. If the sentence is free from error, choose the"No error" option.

The cistern (A)/ is running over (B)/ with water. (C)/ No error (D)

1) A 2) B 3) C 4) D


Each of (A)/ these minerals (B)/ are found in India. (C)/ No error (D)

1) A 2) B 3) C 4) D


Bread and butter (A)/are my (B)/ favourite breakfast. (C)/ No error (D)

1) A 2) B 3) C 4) D

82. The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives aresuggested. Choose the correct alternative.

The soldier dies fighting ...... his country.

1) in behalf of 2) behalf of 3) at behalf of 4) on behalf of


I have not slept ..... yesterday.

1) until 2) to 3) since 4) till


Whatever she does, she does .... to the major prospects.

1) about an eye 2) with an eye 3) in an eye 4) for an eye

85. In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative whichcorresponds to the meaning of the Idiom/Phrase given in bold.

Jump on the bandwagon

1) Board a bus 2) Get involved in a scuffle

3) A raucous gathering 4) Join a popular trend or activity


Caught between two stools.

1) When someone finds it difficult to adapt to his in-laws' place.

2) When someone finds it difficult to choose between two alternatives.

3) Difference between the developed and under-developed nations

4) Inter-generational differences



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Beat around the bush

1) Not speaking directly about the issue

2) Trying one's hand in gardening

3) Assaulting a person severely

4) Hitting the target accurately

88. Out of the four alternatives, choose the one which can be substituted for the given words/sentences.

A place for housing aeroplanes

1) Hangar 2) Hanger 3) Runway 4) Airport


A person, who walks in sleep

1) Patient 2) Sleeplessness 3) Somnambulist 4) Insomnia


Murder of a wife by her husband

1) Suicide 2) Uxoricide 3) Matricide 4) Genocide

91. A sentence/a part of the sentence is underlined. Alternatives are given which can replace the underlinedpart. Choose the appropriate option.

In case no improvement is needed, choose "No improvement".

Neither the Chairman nor the directors is present.

1) are 2) has 3) was 4) No improvement

92. A sentence/ a part of the sentence is underlined. Alternatives are given which can replace theunderlined part. Choose the appropriate option.

In case no improvement is needed, choose "No improvement".

Every boy and every girl were given a box of chocolates.

1) have 2) have been 3) was 4) No improvement

93. A sentence/ a part of the sentence is underlined. Alternatives are given which can replace theunderlined part. Choose the appropriate option. In case no improvement is needed, choose "Noimprovement".

Recently, she has taken of gambling.

1) taken about 2) taken to 3) taken in 4) No improvement

94. A sentence/a part of the sentence is underlined. Alternatives are given which can replace the underlinedpart. Choose the appropriate option. In case no improvement is needed, choose "No improvement".

I saw through the trick.

1) saw in 2) saw to 3) saw on 4) No improvement

95. A sentence/ a part of the sentence is underlined. Alternatives are given which can replace theunderlined part. Choose the appropriate option. In case no improvement is needed, choose "Noimprovement".

He seems to be well of.

1) well off 2) well about 3) well at 4) No improvement



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Directions (Q: 96 to 100): A passage is given with 5 questions following it. Read the passage carefully andchoose the best answer out of the four alternatives.

Indian Peace Keeping Force (IPKF) was the Indian military contingent performing a peace keepingoperation in Sri Lanka between 1987 and 1990. It was formed under the mandate of the 1987 Indo-Sri LankanAccord that aimed to end the Sri Lankan Civil War between militant Sri Lankan Tamil nationalists such asthe Liberation Tigers of Tamil Eelam (LTTE) and the Sri Lankan military.

The main task of the IPKF was to disarm the different militant groups, not just the LTTE. It was to bequickly followed by the formation of an Interim Administrative Council. These were the tasks as per the termsof the Indo-Sri Lankan Accord, signed at the behest of Indian Prime Minister Rajiv Gandhi. Given theescalation of the conflict in Sri Lanka, and with the pouring of refugees into India, Gandhi took the decisivestep to push this accord through. The IPKF was inducted into Sri Lanka on the request of Sri Lankan PresidentJ. R. Jayewardene under the terms of the Indo- Sri Lanka Accord.

The force was initially not expected to be involved in any significant combat by the Indian HighCommand. However, within a few months, the IPKF became embroiled in battle with the LTTE to enforcepeace. The differences started with LTTE trying to dominate the Interim Administrative Council, and alsorefusing to disarm, which was a pre-condition to enforce peace in the island. Soon, these differences led tothe LTTE attacking the IPKF, at which point the IPKF decided to disarm the LTTE militants, by force ifrequired. In the two years it was in northern Sri Lanka, the IPKF launched a number of combat operationsaimed at destroying the LTTE-led insurgency. Given LTTE's tactics in guerrilla warfare and using women andchild soldiers to fight battles, it soon escalated into repeated skirmishes between the IPKF and LTTE.

The IPKF began withdrawing from Sri Lanka in 1989, following the election of the V. P. Singhgovernment in India and on the request of the newly elected Sri Lankan President Ranasinghe Premadasa. Thelast IPKF contingents left Sri Lanka in March 1990.

96. The IPKF operations in Sri Lanka took place in the

1) last quarter of the previous century.

2) towards the middle of the previous century.

3) 21st century.

4) towards the beginning of the 20th century.

97. Out of the four alternatives, which one is closest in meaning to the word 'behest'?

1) Remand 2) Request

3) Resuscitation 4) Renovation

98. According to the passage, who requested the IPKF contingent to be removed?

1) Former Prime Minister Rajiv Gandhi

2) The UNO

3) President Ranasinghe Premadasa.

4) Former Prime Minister V.P. Singh

99. According to the passage, the main task of the IPKF was to

1) disarm only the LTTE.

2) disarm the different militant groups, including the LTTE.

3) train the Sri Lankan forces

4) be a part of the UN special forces.



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100. According to the passage, the IPKF was formed

1) under the mandate of the 1985 Indo-Sri Lankan Accord.


3) owing to hostilities between India and Sri Lanka.


KEY

1-3; 2-2; 3-4; 4-3; 5-4; 6-2; 7-4; 8-1; 9-3; 10-4; 11-4; 12-2; 13-2; 14-4; 15-2; 16-3; 17-4; 18-3; 19-4; 20-3;21-3; 22-4; 23-4; 24-2; 25-4; 26-3; 27-2; 28-1; 29-3; 30-2; 31-4; 32-2; 33-2; 34-4; 35-3; 36-1; 37-1; 38-3;39-3; 40-4; 41-3; 42-1; 43-4; 44-4; 45-2; 46-1; 47-4; 48-3; 49-1; 50-4; 51-1; 52-3; 53-3; 54-2; 55-4; 56-3;57-1; 58-4; 59-2; 60-2; 61-2; 62-1; 63-3; 64-1; 65-3; 66-1; 67-4; 68-2; 69-4; 70-3; 71-2; 72-4; 73-1; 74-2;75-1; 76-4; 77-2; 78-4; 79-4; 80-3; 81-2; 82-4; 83-3; 84-2; 85-4; 86-2; 87-1; 88-1; 89-3; 90-2; 91-1; 92-3;93-2; 94-4; 95-1; 96-1; 97-2; 98-3; 99-2; 100-4;

EXPLANATIONS1. A cat catches its prey with claws and an eagle catches its prey with talons.

+4 +5 −102. K ⎯⎯→ O ⎯⎯→ T ⎯⎯→ J

−9↓

+4 +5 −10B ⎯⎯→ F ⎯⎯→ K ⎯⎯→ A

+4 +5 −10R ⎯⎯→ V ⎯⎯→ A ⎯⎯→ Q

−9↓

+4 +5 −10I ⎯⎯→ M ⎯⎯→ R ⎯⎯→ H

3. 392 − 1 : 39 : 412 − 1 : 41 = ?

4. The rest are all stringed instruments.

5. A B C D E F G H I J K L M

Z Y X W V U T S R Q P O N

6. The rest are all of the form n2 + 1

7. 2, 1, 4, 5, 3

+2 +4 +6 +88. a ⎯⎯→ c ⎯⎯→ g ⎯⎯→ m ⎯⎯→ U

+2 +4 +6 +8d ⎯⎯→ f ⎯⎯→ j ⎯⎯→ p ⎯⎯→ x

+2 +4 +6 +8j ⎯⎯→ i ⎯⎯→ p ⎯⎯→ v ⎯⎯→ d

9. The series is as follows:

[n3 − (n − 1)3]

1 7 19 37 61 91 127

+6 +12 +18 +24 +30 +36



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10. Father Mother

Aman ←⎯→ Sister ←⎯→ Boy's mother

Daughter Boy

The boy's mother and Aman are brother and sister, so Aman's daughter is the boy's mother's neice.

11. Distance = 300 + 250 = 550 m

Relative speed = 125 + 95 = 220 km/hr

550 × 18Time = ⎯⎯⎯⎯ = 9 seconds

220 × 15

12. The given word has only one R.

13. T R A N S L A T E

N A R T S E T A L

O X A Z E P A M S

Z A X O E S M A P

14. 75 ÷ 15 × 3 + 2 − 7 = 5 × 3 + 2 − 7

= 15 + 2 − 7 = 10

15. (4 × 5) + (4 + 5) = 29

(3 × 2) + (3 + 2) = 11

(11 × 3) + (11 + 3) = 47

∴ (15 × 17) + (15 + 17) = 287

16. Last row is the sum of the upper 3 rows.

17.

Using Pythogoras' theorem,

⎯⎯⎯⎯⎯⎯⎯Distance from his house to office = √ 8002 + 15002 = 1700 m.



House250 m

Shop400 m750 m

Bank 400 m

Temple500 m

Office 800 m

1500 m

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18.

20. children

25. G: 00, 13, 21, 34, 42

L: 57, 65, 78, 89, 96

A: 01, 14, 22, 30, 43

Z: 04, 12, 20, 33, 41

E: 55, 66, 77, 88, 99

28. Tropical rain forests occupy only 7% of the Earth's land area, yet they are estimated to contain most ofthe Earth's species.

30. Yoshinori Ohsumi of Japan has won the 2016 Nobel Prize for physiology or Medicine for hispioneering work on autophagy.

33. Haryana has won the "Best Horticulture State" award of the Indian Council of Food and Agriculture(ICFA) at the 9th Agricultural Leadership Summit 2016 in New Delhi.

36. In the recently released bi-annual Logistics Performance Index (LPI) 2016 of World Bank Group, Indiaranked 35th among 160 countries.

41. The term Judicial Activism is related with Public Interest Litigation.

43. Built on the river Jhelum in Jammu and Kashmir, India calls it the Tulbul Navigation Project, forPakistan it is Wullar Barrage.

44. The headquarters of Indian Veterinary Research Institute (IVRI) is at Bareilly.

45. The larva of honey bee is known as Grub.

48. The most important public place of Indus Valley Civilization "Great Bath" belonged to Mohenjo-Daro.

49. On 2 February 2017 NITI Aayog CEO Amitabh Kant launched "India Innovation Index".

51. x + y = 166 .......(i);

x − y = 8 .......(ii)

On solving, x = 87 and y = 79

Thus, required sum = 872 + 792 = 13810.

52. Difference in profit = 4%

Thus, 4% of CP = Rs. 3.75

Therefore, required SP = 108% of CP



GreenBottles

Pens

sing dance

1225

2310

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1.08= 3.75 × ⎯⎯⎯ = Rs.101.25.

0.04

53. No. of boys = 45% of 1200 = 540

No. of girls = 1200 − 540 = 660

Total monthly fee of boys = 540 × 750

= Rs.4,05,000

Total monthly fee of girls = 660 × 80% of 750

= 660 × 600

= Rs.3,96,000

Therefore, the total monthly revenue = 4,05,000 + 3,96,000

= Rs.8,01,000.

54. (105 + 210) m = S × 45 sec

315 18S = ⎯⎯ × ⎯⎯ = 25.2 km/hr

45 5

(a + b)2 − (a − b)2 4ab55. ⎯⎯⎯ = ⎯ = 2

2ab 2ab

(0.87 + 0.13)2 − (0.87− 0.13)2⎯⎯⎯⎯⎯ = 2

2 × 0.87 × 0.13

156. x + ⎯ = −1 .....(i)

x

Squaring (i) on both sides

1x2 + ⎯ = − 1 ......(ii)

x2

Again, squaring (ii) on both sides

1x4 + ⎯ − 1 ......(iii)

x4

1x3 + ⎯ = 2 ......(iv)

x3

Now, multiply (iii) and (iv), we get

1 1(x4 + ⎯) (x3 + ⎯) = − 2x4 x3

1∴ x7 + ⎯ = − 1

x7

57. l = r θ

l1 rθ1 7 60° ∴ ⎯ = ⎯ ⇒ ⎯ = ⎯

l2 rθ2 l2 105°

∴ l2 = 12.25 cm.



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58. (x + 2)2 = x2 + (x − 7)2

⇒ x2 −18x + 45 = 0

∴ x = 3,15

x = 3 is not possible with given condition. Hence, x = 15.

3 cot 30° − 5 cos 30° + 3 sin 30°59. ⎯⎯⎯⎯⎯⎯

sin 60° + tan 60° − 3 cos 60°

√⎯3 1

3 × √⎯3 − 5 ⎯ + 3 × ⎯

2 2= ⎯⎯⎯⎯⎯⎯

√⎯3 1

⎯ + √⎯3 − 3 × ⎯

2 2

6 √⎯3 − 5 √

⎯3 + 3

= ⎯⎯⎯ √⎯3 + 2 √

⎯3 − 3

√⎯3 + 3 √

⎯3 (1 + √

⎯3 )

= ⎯ = ⎯⎯⎯⎯⎯ 3 √

⎯3 − 3 3(√

⎯3 −1)

3 +1+ 2 √⎯3 2

= ⎯⎯ = ⎯ + 12 √

⎯3 √

⎯3

3 3 3 × 13 × 2160. Let total work (LCM of 9 ⎯ and 15 ⎯) be ⎯⎯ units.

4 4 4

Combined efficiency of P, Q and R = 21 units

Combined efficiency of P and R = 13 units

So, efficiency of Q = 8 units

3 × 13 × 21 1 19Hence, time taken by Q = ⎯⎯ × ⎯ = 25 ⎯ days

4 8 32d1 2 r1 2

61. Ratio of diameter = ⎯ = ⎯ ⇒ ⎯ = ⎯d2 3 r2 3

Let their radii be 2x and 3x and respective heights be h1 and h2.

Thus,

1 1⎯ π (r1)2 h1 = ⎯ π (r2)2 h23 3

⇒ (2x)2 h1 = (3x)2 h2

h1 9∴ ⎯ = ⎯

h2 4

62. Let the CP of goods be Rs.100.

Then, MP = Rs.137.50

After allowing a discount of 20%,

SP = 137.5 × 0.8 = Rs. 110

Hence, he earns a profit of 10%.

63. The required ratio would be independent of absolute distance.

Therefore, we can consider the distance in both the two cases to be 100 m and 40 m respectively.



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Hence, ratio of speeds

100 72 1 = ⎯ × ⎯ = ⎯

3× 60 40 1

64. A + B + C + 3 × 3 = 3 × 24 ......(i)

Let B be x years, then A = x + 5 and C = x + 7.

On substituting these values in (i),

we get x = 17.

Therefore, A = 22 years,

B = 17 years and C = 24 years.

Hence, required answer = (22 − 6) + (24 + 5) = 45 years.

65. a − b − c = 0

On squaring both sides, we get

a2 + b2 + c2 − 2ab + 2bc − 2ac = 0

⇒ 4 − 2(ab − bc + ac) = 0

⇒ (ab − bc + ac) = 2

p q p2 + q266. ⎯ + ⎯ = ⎯⎯ = −1

q p pq

⇒ p2 + q2 + pq = 0

Now,

(p3 − q3) = (p − q)(p2 + q2 + pq) = 0

67.

In triangle OQP, QP2 = OP2 − QO2

Therefore, QP = 24 cm.

Now, the area of quadrilateral PQOR = 2 ×

1area of triangle OQP = 2 × ⎯ × 24 × 7

2

= 168 cm2.

68.



7 cm

25 cm

R

Q

P

Q

A

P

C

?

B

3 cm

4 cm

2 cm

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∆ ABC ≈ ∆ APQ

AQ AP 3 2⎯ = ⎯ ⇒ ⎯ = ⎯AB AC 7 AC

14⇒ AC = ⎯ cm

3

14 8CP = ⎯ − 2 = ⎯ cm

3 3

69. 3 sin θ = 5 − 4cos θ

⇒ 9 sin2 θ = 25 + 16 cos2 θ − 40 cos θ

⇒ 25 cos2 θ − 40 cos θ + 16 = 0

⇒ (5 cos θ − 4)2 = 0

4∴ cos θ = ⎯

5

5 3So, cosec θ = ⎯ and tan θ = ⎯

3 3

29 Hence, cosec θ + tan θ = ⎯

12

70.

Let PQ = x and BQ = y, then

h tan 45° = ⎯ ⇒ y = h

y

htan 30° = ⎯ ⇒ x + y = √

⎯3 h

x + y

∴ x = (√⎯3 −1) h metres.

71. Let P = Rs.100, then S.I.= Rs.20 and

T = 4 years

20 × 100 Therefore, R = ⎯ = 5%

100 × 4

Now, P = Rs. 87,500.

T = 2 years and R = 5% per annum

5 CI = [ 87500 (1 + ⎯ )2− 1] = Rs.8,968.75.

100



30°45°PB

h

y xQ

A

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25 5 72. Required ratio = ⎯ = ⎯

15 3

21 73. Expenditure on rent = ⎯ × 147000

100

= Rs. 30,870.

14 74. Central angle representing transport = ⎯ × 360° = 50.4° .

100

75. Difference = (14 − 5)% = Rs.1,170

So, 1 % = Rs.130

Hence, amount spent on rent = 21 × 130 = Rs.2,730.

79. 'Running over' means overflowing.

80. The correct verb should be 'is'.

81. The verb used should be 'is' since 'bread and butter' is considered to be a single entity.

91. When one of the subjects joined by 'or' or 'nor' is plural, the verb must be plural, and the plural subjectshould be placed nearest the verb.

92. Two nouns qualified by 'every', even though connected by 'and', require a singular verb.

93. 'Taken to' refers to 'being addicted to something.'

94. 'Saw through' implies to detect something.

95. 'Well off' means to be in comfortable circumstances.

96. The IPKF operations took place in the years between 1987 to 1990.

98. Refer to the last paragraph for the answer.

99. Refer to the first sentence of the second paragraph for the answer.

100. Refer to the first paragraph for the answer.

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STAFF SELECTION …...1) Red Phosphorus 2) Osmium 3) Selenium 4) White Phosphorus 32. Which among...

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