03.Practice Set SSC-CGL TIER I.pdf
Transcript of 03.Practice Set SSC-CGL TIER I.pdf
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PRACTICE SET
SSC-CGL TIER-IPart A: General Intelligence
And Reasoning
1. If 1 is coded as I, 2 as G, 3 as A, 4 as Y, 5 as L, 6 as O, 7
as X and 0 as W, then which of the following is the
code for 3 7 6 4 5 2 0 1?
(A) AXOYLWGI (B) AXOYLGWI
(C) AXOLYGWI (D) AXLYOGWI
2. In a certain code SENSE is written as STFOTF and
CITY is written as CDJUZ. How is EARTH written in
that code?
(A) EFBQTI (B) EFCSUI(C) EFBSUI (D) EEBSUI
3. If P means +, V means , T means and Q
means , then find the value of the expression given
below
25 P 20 Q 5 V 10 T 16
(A) 49 (B) 25 (C) 48 (D) 59
4. J says N and G are my brothers; M says P is father
of G, who says R is brother of my father. How is R
related to Js mother?
(A) Brother-in-law (B) Sister-in-law
(C) Sister (D) Brother
5. Five friends Rinku, Chintu, Tinku, Sintu and Mintu
are sitting around a circular table. Mintu is notbetween Tinku and Sintu. Chintu is on the immediate
right of Tinku and is second to the right of Sintu. Who
is second to the left of Chintu?
(A) Mintu (B) Sintu (C) Tinku (D) Rinku
Directions: In questions nos. 6 to 12, find the odd
word/numbers/letters from the given alternatives.
6. (A) Anxiety (B) Sorrow (C) Anger (D) Joy
7. (A) Cornea (B) Iris (C) Pupil (D) Medulla
8. (A) Inn (B) Motel (C) Club (D) Shelter
9. (A) EFG (B) WVU (C) KJI (D) RQP
10. (A) MKGA (B) PNID (C) RPLF (D) VTPJ
11. (A) 4 32 (B) 5 20 (C) 7 42 (D) 3 21
12. (A) 14 225 (B) 21 27 (C) 15 216 (D) 13 64Directions: In question nos. 13 to 17, select the
related words/letters/number from the given alternatives.
13. Wax : Wane : : Zenith : ?
(A) Light (B) Nadir (C) Fall (D) Topper
14. Ice : Coolness : : Earth : ?
(A) Gravitation (B) Round
(C) Weight (D) Mountain
15. Soldiers : Army : : Cow : ?
(A) Bunch (B) Group (C) Herd (D) Calf
16. Speech : Dumb : : Sight : ?(A) Eyes (B) Mouth (C) Tongue (D) Blind
17. 32 : 529 : : 43 : ?
(A) 1849 (B) 1728 (C) 625 (D) 1156
Directions: In questions nos. 18 and 19 arrange the
given words in a meaningful order and select the option
indicating the correct order.
18. 1. Cloth 2. Skirt 3. Cotton 4. Plant 5. Yarn
(A) 4, 5, 3, 2, 1 (B) 4, 3, 1, 5, 2
(C) 4, 3, 5, 1, 2 (D) 4, 3, 2, 5, 1
19. 1. Ventilator 2. Roof 3. Window
4. Floor 5. Walls
(A) 5, 2, 3, 4, 1 (B) 5, 3, 4, 2, 1
(C) 4, 5, 3, 1, 2 (D) 5, 3, 2, 1, 4
20. A series is given, with one term missing. Choose the
correct alternative from the given ones.
BCE, HIK, NOQ, TUW, ZAC, FGI, ?
(A) LMO (B) NOM (C) LON (D) NOP
Directions: In question nos. 21 and 22, find the
missing number from the given responses.
21 12 6 8
18 13 ?
20 28 11
26 35 19
(A) 10 (B) 18 (C) 15 (D) 16
22. ? 12 48
8 15 61
13 11 59
(A) 7 (B) 6 (C) 5 (D) 8
Directions: In questions nos. 23 and 24 a series is
given with one term missing. Choose the correct
alternative from the given ones.
23. 5 6 7 8 10 11 ?
(A) 15 (B) 16 (C) 14 (D) 17
24. 8 12 20 32 ? 68
(A) 64 (B) 48 (C) 50 (D) 60Directions: In question nos. 25 to 27, from the given
alternative words, select the word which cannot be formed
using the letters of the given word.
25. INTERNATIONAL
(A) LATTER (B) RELATION
(C) TREATMENT (D) TRAIN
26. TURBULENCE
(A) RENT (B) RUBLE
(C) TUBULAR (D) CENTER
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27. CREDENTIAL
(A) CREATE (B) CENTER
(C) TRAIN (D) CREAM
28. Which of the following interchanges of signs would
make the given equation correct?
3 4 8 14 + 7 = 18
(A) + and (B) and + (C) and + (D) and
29. 18% of 625 + 65% of 850 + ? = 1000
(A) 225 (B) 665 (C) 335 (D) 552
30. If PLANT is coded as TNBLP, then LOGIC will be
coded as
(A) CIHOL (B) ICHOL (C) GICLO (D) CIGOL
31. Which of the following figures best depicts the
relationship between thieves, judges and criminals?
(A) (B)
(C) (D)
32. Pointing to a girl in the photograph, Nishant said, Hermothers brother is the only son of my mothers father.
How is the girls mother related to Nishant?
(A) Grandmother (B) Sister
(C) Aunt (D) Cant be determined
33. W is 8 ranks ahead of Z in a class of 49 students. If Z
is 18th from the bottom, what is Ws rank from the
top?
(A) 23rd (B) 22nd (C) 27th (D) 24th
34. In the following three circles numbered 1, 2 and 3, 1
represents blue, 2 represents yellow and 3 represents
red. Which of the following parts represents green?
(A) D (B) F (C) G (D) E
35. The number of boys in a class is three times the number
of girls. Which of the following numbers cannot
represent the total number of children in the class?
(A) 36 (B) 40 (C) 28 (D) 42
36. Which set of letters when sequentially placed at the
gaps in the given letter series shall complete it?
b _ ccd _ bbc _ dd _ bc _ dd
(A) bdcbc (B) bddcc (C) cbcbb (D) ccbdc37. Arrange the following words as per their order in the
English dictionary
1. Variant 2. Vacant 3. Variable
4. Vague 5. Valiantly
(A) 2, 4, 1, 5, 3 (B) 2, 4, 5, 3, 1
(C) 2, 4, 3, 1, 5 (D) 1, 2, 3, 4, 5
Directions: In question nos. 38 and 39, two statements
are given followed by two conclusions I and II. You have to
consider both statements to be true even if they seem to be
at variance with commonly known facts. You have to decide
which of the given conclusions, if any, follows from the
given statements.
38. Statements: Most of the people are doctors.
Doctors are MBBS.
Conclusions: I. Some people are MBBS.
II.All MBBS are doctors.
(A) Only conclusion II follows
(B) Either conclusion I or II follows
(C) Only conclusion I follows
(D) Both conclusions I and II follow
39. Statements: Rama is a clerk.
All clerks are honest.
Conclusions: I. Rama is not honest.
II.Rama is honest.
(A) Only conclusion II follows
(B) Either conclusion I or II follows
(C) Only conclusion I follows
(D) Both conclusions I and II follow40. Rajan left his home and walked 90 metres in the east
before turning to his right. He went 30 metres before
turning to his right. After that he walked 20 metres and
finally he turned to the north and walked 60 metres. In
which direction is Rajan from his home?
(A) East (B) North
(C) South-east (D) North-east
41. Three different positions of a dice have been shown
in the following figures. Which of the following
alphabet will be opposite A?
(A) E (B) B (C) D (D) C
42. How many triangles are there in the figure given
below?
(A) 12 (B) 16 (C) 20 (D) 22
43. A sheet of paper has been folded as shown in the
Question Figure. You have to figure out from the four
Answer Figures how it will appear when opened.
Question Figures
Answer Figures
(A) (B) (C) (D)
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44. Which of the following Answer Figures is the exact
mirror image of the given Question Figure, when the
mirror is held on the line AB?
Question Figure
Answer Figures
(A) (B) (C) (D)
45. Find out the water image of the given group of letters:
TRAINGLE
(A) (B)
(C) (D)
46. Which Answer Figure will complete the QuestionFigure?
Question Figure
Answer Figures
(A) (B) (C) (D)
47. Which Answer Figure will complete the QuestionFigure?
Question Figure
Answer Figures
(A) (B) (C) (D)
48. Which of the following Answer Figures marked (A),(B), (C) and (D) satisfies the same conditions of
placement of dots as in Question Figure?
Question Figure
Answers Figures
(A) (B) (C) (D)
49. From the given Answer Figures, select the one in which
the Question Figure is hidden/embedded.Question Figure
Answer Figures
(A) (B) (C) (D)
50. Choose from the alternatives the box that will be
formed when the Question Figure is folded.
Question Figure
Answer Figures
(A) (B) (C) (D)
Part B: General Awareness51. Where was the Asia Pacific Economic Cooperation
(APEC) Summit, 2013 held?
(A) Malaysia (B) Indonesia
(C) China (D) Singapore
52. Which of the following Indian banks reached a
milestone with inaugurating its 15000th branch
recently?
(A) Punjab National Bank (B) Andhra Bank
(C) State Bank of India (D) Canara Bank
53. The dictum means justify the ends was coined by
(A) Adam Smith (B) Mahatma Gandhi
(C) Vladimir Lenin (D) Abraham Lincoln
54. The interval between two sessions of either house of
the Parliament should not be more than
(A) Six months (B) Nine months
(C) One year (D) Two years
55. What is the tenure of the upper house of the Indian
Parliament called Rajya Sabha?
(A) Two years (B) Five years
(C) Six years (D) Permanent
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56. Who among the following Sikh Gurus founded
Khalsa?
(A) Guru Tegh Bahadur (B) Guru Har Rai
(C) Guru Hargobind (D) Guru Gobind Singh
57. Which of the following is a book authored by Mulk
Raj Anand?
(A) Smriti Ki Rekhayen
(B)My God Died Young
(C) The Sword and the Sickle
(D)Anand Math
58. Lines on a map connecting points having the same
duration of sunshine are called:
(A) Isohels (B) Isohyets
(C) Isobars (D) Isotherms
59. The first Harappan sites were discovered way back in
1920-21 by the archaeologist
(A) Gopal Majumdar
(B) Sir John Marshall
(C) DR Sahni(D) Rakhaldas Bandyopadhyay
60. Which of the following is NOT a landlocked sea?
(A) Aral Sea (B) Dead Sea
(C) Caspian Sea (D) Arabian Sea
61. What was the symbol of the 24th Jain tirthankar
Mahavira?
(A) Snake (B) Lion (C) Conch (D) Tortoise
62. The device used to measure distance, direction and
speed of underwater objects with the help of ultrasonic
waves, is called
(A) Laser (B) Sonar
(C) Maser (D) Periscope
63. The Peacock Throne (Takht-e-Taus) is a famous goldenthrone that was originally built for the Mughal emperor
(A) Aurangzeb (B) Akbar
(C) Shah Jahan (D) Jahangir
64. Which of the following acids is found in our stomach
and causes acidity?
(A) Formic acid (B) Hydrochloric acid
(C) Nitric Acid (D) Chloric Acid
65. Due to its carcinogenic effects and polluting ground
water, using tetrachloroethene as solvent for dry
cleaning of clothes is increasingly being replaced with
the use of:
(A) Hydrogen peroxide
(B) Liquified carbon dioxide(C) Magnesium chloride
(D) Calcium oxychloride
66. Match the following visitors with the kings whose
court they visited and answer the question on the
basis of the codes provided below:
1. Megasthenes a. Bindusara
2. Daimachus b. Chandragupta II
3. Hiuen-Tsang c. Chandragupta Maurya
4. Fa-Hien d. Harshavardhan
1 2 3 4
(A) c a d b
(B) d c b a
(C) b d c a
(D) a d c b
67. Which of the following specialisations is attached with
the tissues of nerves?
(A) Contains smallest cells of human body
(B) Cell decreases in size
(C) No cell division after birth
(D) Cell size increases even after death
68. If incompatible blood is given in a transfusion, not
only is the blood transfusion rendered useless, but
also it causes
(A) Quick reduction in WBCs
(B) Agglutination of RBCs
(C) Dilution of blood
(D) Decrease in oxygen level in blood
69. What is the hardest part of human body?(A) Enamel of teeth (B) Skull
(C) Nail (D) Hair
70. The scientific study of dreams is known as
(A) Kalology (B) Oneirology
(C) Osteology (D) Ornithology
71. Speed of a processor is measured in terms of:
(A) Baud (B) Hertz (C) PPI (D) Lumen
72. Which of the following layers of the OSI model is a
formatting layer which deals with things such as
syntax, encryption and compression?
(A) Physical layer (B) Presentation layer
(C) Network layer (D) Transport layer
73. Ultraviolet light was discovered by who among thefollowing?
(A) Guglielmo Marconi (B) Percy Spencer
(C) Johann Wilhelm Ritter (D) Henri Becquerel
74. Match the following and answer the questions on the
basis of the codes provided below:
1. Baking Soda a. Sodium Hydroxide
2. Washing Soda b. Sodium Bicarbonate
3. Bleaching Soda c. Calcium Oxychloride
4. Caustic Soda d. Sodium Carbonate
1 2 3 4
(A) c d b a
(B) d c b a
(C) b d c a(D) a d c b
75. The temporary hardness of water is caused by the
presence of which of the following?
(A) Bicarbonates of Ca and Mg
(B) Chlorides of Carbon
(C) Sulphates of Mg
(D) Chlorides of Mg
76. Match the following national parks/wildlife
sanctuaries and places they are situated at and answer
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the question on the basis of the codes provided below:
1. Corbett National Park a. Jaisalmer
2. Desert National Park b. Mysore
3. Mudumalai Wildlife Sanctuary c. Nainital
4. Bandipur National Park d. Nilgiri
1 2 3 4
(A) c a d b
(B) d c b a
(C) b d c a
(D) a d c b
77. Which of the following plants has a unique feature of
having the largest seed in the plant kingdom?
(A) Orchid (B) Maldive coconut
(C) Cycas (D) Eucalyptus
78. The National Botanical Research Institute is situated
at which of the following places?
(A) New Delhi (B) Hyderabad
(C) Bangalore (D) Lucknow
79. Which of the following pairs containing humandiseases and the body parts affected by them is NOT
matched correctly?
(A) Influenza Respiratory tract
(B) Chickenpox Skin and blood
(C) Measles Brain
(D) AIDS Blood and nervous system
80. Plants growing in places of deficient water supply are
known as:
(A) Hydrophytes (B) Helophytes
(C) Xerophytes (D) Mesophytes
81. Who among the following can set up an overseas
banking unit in Special Economic Zones (SEZs)?
(A) Public Sector Banks (B) Private Sector Banks(C) Foreign Banks (D) Any of the above
82. The activity of copying files or databases so that they
will be preserved in case of equipment failure or other
catastrophe, is termed as:
(A) Burning (B) Backup
(C) Encryption (D) Firewall
83. Match the following states and centres of chemical
fertilizers situated there and answer the question on
the basis of the codes provided below:
1. Jharkhand a. Haldia
2. Bihar b. Rourkela
3. Odisha c. Barauni
4. West Bengal d. Sindri1 2 3 4
(A) c a d b
(B) d c b a
(C) b d c a
(D) a d c b
84. Who among the following is credited to be the first
woman Speaker of the Lok Sabha?
(A) Sucheta Kriplani (B) Pratibha Patil
(C) Meira Kumar (D) Vijaya Lakshmi Pandit
85. Which of the following was the first state where the
Presidents Rule was proclaimed under the provisions
of article 356 of the Constitution?
(A) Punjab (B) Andhra Pradesh
(C) Uttar Pradesh (D) Tamil Nadu
86. Which of the following is NOT a Constitutional
institution?
(A) Election Commission
(B) Finance Commission
(C) Comptroller and Auditor General (CAG)
(D) None of the above
87. The 25 paise coin, popularly known as chavanni,
ceased to be legal tender from:
(A) Jul 2009 (B) Jul 2010
(C) Jul 2011 (D) Jul 2012
88. Which of the following banks is NOT a Govt-owned
bank?
(A) Andhra Bank (B) IDBI
(C) Indian Bank (D) Indusind Bank 89. The economic principle that describes a consumers
desire and willingness to pay a price for a specific
goods or service in a specified time period is called
(A) Supply (B) Demand
(C) Utility (D) Elasticity
90. Which of the following is NOT considered to be a
factor of production?
(A) Land (B) Labour
(C) Electricity (D) Entrepreneurship
91. Name the shuttler who has become the first male junior
badminton player from India to be ranked No. 1 in the
world in the Jan rankings of the World Badminton
Federation (WBF).(A) Parupalli Kashyap (B) Valiyaveetil Diju
(C) Chetan Anand (D) Aditya Joshi
92. What is the foreign direct investment (FDI) limit for
existing pharma firms in India stipulated by the govt
at present?
(A) 26 per cent (B) 49 per cent
(C) 74 per cent (D) 100 per cent
93. National Youth Festival is held on the occasion of the
birth anniversary of Swami Vivekananda every year
and his birthday is observed as the National Youth
Day. It falls on
(A) 2 Jan (B) 10 Jan (C) 12 Jan (D) 18 Jan
94. Indian workers residing in Emigration Check Required(ECR) countries will soon be able to avail life insurance
and pension benefits under Mahatma Gandhi Pravasi
Suraksha Yojana (MGPSY). This scheme was first
launched in
(A) Kuwait (B) Bahrain
(C) Qatar (D) UAE
95. Name the country in which the United Nations and its
humanitarian partners have launched No Lost
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Generation initiative to protect a generation of
children from a life of despair, diminished opportunities
and broken futures.
(A) Egypt (B) Mali
(C) Nigeria (D) Syria
96. Which of the following railway stations entered Limca
Book of Records for worlds longest platform (1,355.40
metres) recently?
(A) Kharagpur
(B) Gorakhpur
(C) Chhatrapati Shivaji Terminus
(D) Patna
97. Who was the modern worlds first female head of govt?
(A) Sheikh Hasina
(B) Indira Gandhi
(C) Margaret Thatcher
(D) Sirimavo Bandaranaike
98. What is the velocity at which if an object is thrown
from the earths surface, the object never returns toearth?
(A) 1.2 km/sec (B) 5.1 km/sec
(C) 8.3 km/sec (D) 11.2 km/sec
99. Which of the following elements is the most reactive?
(A) Aluminium (B) Calcium
(C) Potassium (D) Gold
100. Where is the Indira Gandhi Centre for Atomic Research
(IGCAR) located?
(A) Thiruvananthapuram (B) Kalpakkam
(C) Baleswar (D) Sriperumbudur
Part C: Quantitative Aptitude
101. D, E and F are mid-points of sides AB, AC and BC
respectively of ABC. Find the area of the quadrilateral
DEFB, if the area of the triangle ABC is 36 cm2.
(A) 12 cm2 (B) 18 cm2 (C) 24 cm2 (D) 9 cm2
102. In a quadrilateral ABCD, CAB = DAC, BCA =
ACD. Find the area of the quadrilateral ABCD, if the
area of ADC = 24 cm2.
(A) 36 cm2 (B) 32 cm2 (C) 48 cm2 (D) 40 cm2
103. If sin = 22ba
a
, 0 < < 90, find the value of cot .
(A)ba (B) ba
(C)a
b(D) 22 ba
104. If sin + sin2 = 1, find the value of cos12 + 3 cos10 +
3 cos8 + cos6 + 2 cos4 + 2 cos2 2.
(A) 0 (B) 4 (C) 2 (D) 1
105. Two secants ABC and ADE are drawn through a circle
from point A. If AB = 6 cm, BC = 4 cm, AD = 5 cm, find
DE.
(A) 5 cm (B) 7 cm (C) 6 cm (D) 4 cm
106. In PQR, S is the mid-point of side QR. Find the ratio
of PQR : PSR.
(A) 3 : 1 (B) 1 : 3 (C) 1 : 2 (D) 2 : 1
107. PQ is a tangent at Q to a circle with centre O. If the
radius of the circle is 12 cm and the area of POQ is
180 cm2, find the length of the tangent.
(A) 15 cm (B) 20 cm (C) 25 cm (D) 30 cm
108. Two parallel chords PQ and RS of equal lengths are
drawn inside a circle of centre O and they are 8 cm
apart from each other. If the radius of the circle is 5 cm,
find the length of the chords.
(A) 13 cm (B) 3 cm (C) 10 cm (D) 6 cm
109. In ABC, ADB = 60, DAC = 30 and AB = AC.
Find BAD.
(A) 60 (B) 120 (C) 90 (D) 45
110. If cos x = cos 60.cos 30 + sin 30.sin 60, find the
value of x.
(A) 60 (B) 90 (C) 15 (D) 30
111. The perimeter of an isosceles triangle is 32 cm, if one
of the equal sides is 10 cm, find the area of the triangle.
(A) 32 cm2 (B) 24 cm2
(C) 48 cm2 (D) 100 cm2
112. A 2-m-wide path has to be constructed around arectangular park of dimensions 18m 15m. If the cost
of construction is `25 per sq m, find the total cost of
constructing the path.
(A) `6750 (B) `10450
(C) `5750 (D) `3700
113. The area of a circular field is 1326m2. If the cost of
painting the fence is `6 per metre, find the total cost.
(A) `892 (B) `692
(C) `792 (D) `992
114. A sector makes 70 angle at the centre of a circle. If the
area of the sector is 22m2, what is the area of the circle?
(A) 121.34 m2 (B) 113.14 m2
(C) 101.23 m2 (D) 120 m2
115. The two parallel sides of a trapezium are 6m and 16m
respectively. If the area of the trapezium is 209m2,find
the height.
(A) 10m (B) 22m (C) 20m (D) 19m
116. If x cot 45.sin 60 = cos 60.tan 60, then x is equal to
(A) 1 (B)2
1(C) 2 (D) 3
117. Find the acute angle , when
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sincos
sincos=
31
31
(A) 45 (B) 30 (C) 60 (D) 90
118. A train leaves point A at 6 am and reaches point B at 12
pm. Another train leaves point B at 8 am and reachespoint A at 2 pm. At what time do the two trains meet?
(A) 8 am (B) 9 am
(C) 10 am (D) 11 am
119. Two pipes can empty a tank in 10 minutes and 15
minutes respectively while another pipe can fill it in 4
minutes. How long will it take to fill the tank if all the
three pipes are opened simultaneously?
(A) 30 minutes (B) 12 minutes
(C) 15 minutes (D) 4 minutes
120. Raju and Shyam can finish a work in 8 hours and 10
hours respectively. If they work alternately for 2 hours
each, starting with Shyam, how long will be required
to finish the work?(A) 8 hours (B) 18 hours (C) 2 hours (D) 9 hours
121. Suresh brought 10 T-shirts at an average price of`4500.
He sold 5 of them at the rate of `4800 each, one of them
for `6000 and the remaining at the average cost price.
What is his gain or loss per cent?
(A) 3.33% loss (B) 3.33% gain
(C) 6.66% loss (D) 6.66% gain
122. How many litres of 24% ghee solution should be mixed
with 30 litres of 40% ghee solution to make the resultant
solution contain 28% ghee?
(A) 20 litres (B) 30 litres (C) 40 litres (D) 90 litres
123. What is the difference of compound interests on `36000
at 30% per annum for one year when compoundedannually and half-yearly?
(A) `1800 (B) `810 (C) `1500 (D) `520
124. Ruchi, Seema and Parul started a partnership by
investing `51000, `63000 and `81000 respectively. They
paid `1000 per month and 10% of the total profit as
salaries to two workers respectively. What is the total
share of Ruchi in profit if the total annual profit is
`1,00,000?
(A) `26,000 (B) `38,000 (C) `20400 (D) `32,400
125. Mahesh sells an article to Suresh at a profit of 20%.
Suresh sells it to Nilesh at a loss of 15%. If the
difference between the CP of Mahesh and that of
Nilesh is `50, what is the selling price of Suresh?
(A) `1000 (B) `2000 (C) `1550 (D) `2550
126. The price of a product first increased by 20%, then
decreased by 15% and again increased by 30%. If the
final price is `3315, what was the original price?
(A) `1500 (B) `2000 (C) `1800 (D) `2500
127. Find the value of (x + y), if 3x= 9y 31and
25x= (3125)y 625.
(A) 2 (B) 0 (C) 1 (D) 2
128. If yy= 3125 and 2x
x = 216, find (x + y).
(A) 9 (B) 11 (C) 5 (D) 3
129. The ratio of the sum lent on simple interest at 10% per
annum to the sum lent at 15% per annum is 4 : 5. What
will be the ratio of the interest on the respective sumsat the end of 2 years?
(A) 6 : 5 (B) 5 : 6 (C) 15 : 8 (D) 8 : 15
130. Three numbers are such that the sum of half of the
first, one-fourth of the second and two-thirds of the
third number is 40. Also, the sum of one-fourth of the
first, one-sixth of second and one-third of the third is
25. Find the second number.
(A) 20 (B) 120
(C) 240 (D) Data inadequate
Directions (Q. 131-135): Study the following graph
carefully and answer the questions.
The graph shows the export of tea and coffee of a
particular country over the years.
167
150
147 2
10
169
525
180
170
138
137
0
100
200
300
400
500
600
2006-07 2007-08 2008-09 2009-10 2010-11
Year
Quantity(intonnes) Tea Coffee
131. By what per cent did the export of tea fall in 2007-08from the previous year?
(A) 1% (B) 2% (C) 3% (D) 4%
132. What was the ratio of export of coffee to that of tea in
2010-11?
(A) 5 : 9 (B) 2 : 5 (C) 5 : 2 (D) 9 : 5
133. By what approximate per cent the export of coffee
increased from 2009-10 to 2010-11?
(A) 205% (B) 125% (C) 195% (D) 192%
134. What was the percentage increase in the export of tea
in 2010-11 over 2006-07?
(A) 40% (B) 90% (C) 20% (D) 35%
135. What is the ratio of export of coffee in 2007-08 over
that in 2009-2010?(A) 69 : 25 (B) 30 : 23 (C) 25 : 69 (D) 23 : 30
136. A man standing at a point P is watching the top of a
tower which makes an angle of elevation of 30 from
the mans eye. The man moves a few metres ahead to
the tower and now the angle of elevation becomes
60. Find the distance between the base of the tower
and the point P.
(A) 20m (B) m315
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(C) m318 (D) Data inadequate
137. G is the centroid of a triangle ABC, right-angled at B.
AB = 7 cm, BC = 24 cm and AC = 25 cm. If D is the mid-
point of AC, find GD.
(A) 8.33 cm (B) 4.17 cm
(C) 12.5 cm (D) 6.25 cm138. Find the area of an equilateral triangle whose side is
equal to the diagonal of a square of area 16 cm2.
(A)2
cm2
327(B) 2cm324
(C) 2cm38 (D) 2cm316
139. Find the area of a circle which has a chord of length 8
cm and is at a distance of 3 cm from the centre of the
circle.
(A) 50 cm2 (B) 100 cm2
(C) 25
cm2 (D) 75
cm2
140. Kapil and Mahek started a business with `2400 and`4800 respectively. At the end of every three months,
Kapil invested `1200, and Mahek withdrew `800 at the
beginning of every three months. What is the share of
Mahek out of a total profit of `2600 at the end of a
year?
(A) `1400 (B) `1600 (C) `1200 (D) `1000
141. What is the average cost of manufacturing an article,
if the fixed cost of manufacturing 5000 units is `40000
and the variable cost is `5 per article?
(A) `8 (B) `12 (C) `7 (D) `13
142. In a 3-member family, just before a set of triplets was
born the average age was 26 years. What will be the
average age of the family ten years hence, if the family
size remains the same?
(A) 21 years (B) 23 years
(C) 26 years (D) 36 years
143. Raju and Sanjay can complete a job in 10 days and 15
days respectively. Raju joins Sanjay after a few days
and the whole work is completed in 9 days from the
beginning. After how many days did Raju join Sanjay?
(A) 4 days (B) 3 days
(C) 5 days (D) 6 days
144. Pratham and Gauri can complete a job in 8 days and 24
days respectively. If after 8 days Pratham joins Gauri
in how many days was the job completed?(A) 11 days (B) 10 days
(C) 9 days (D) 12 days
145. A sum doubles itself in 6 years at SI. In how many
years will it become 6 times at the same rate?
(A) 24 years (B) 30 years
(C) 36 years (D) 34 years
146. If 5 tan = 4, then find the value ofcos5sin3
cos3sin5.
(A)37
5(B)
6
1(C)
37
1(D)
37
3
147. Aarti and Bharati can complete a work individually in 12
days and 24 days respectively. After Bharati had worked
for 12 days, Aarti joined her and completed the work. If
they earn `180 for the work, find the share of Aarti.(A) `120 (B) `100 (C) `90 (D) `60
148. P and Q undertake a job for `45000. P alone can do it in
20 days and Q in 30 days. With the help of R they
finished it in 8 days. What is Rs share?
(A) `24000 (B) `18000 (C) `12000 (D) `15000
149. Find the smallest and largest 4-digit number which
when lessened by 12 is exactly divisible by 16, 24 and
40.
(A) 1208, 9848 (B) 1200, 9840
(C) 1212, 9852 (D) 1188, 9828
150. Find the greatest number which when it divides 3300
and 3640 leaves remainders 23 and 24 respectively.
(A) 13 (B) 113 (C) 339 (D) 226
Part-D: English Comprehension
Directions: In question nos. 151-155, some parts of
the sentences have errors and some have none. Find out
which part of a sentence has an error and blacken the
rectangle [ ] corresponding to the appropriate letter (A),
(B), (C). If there is no error, blacken the rectangle [ ]
corresponding to (D) in the Answer Sheet.
151. A Delhi Police constable posted in the Excise
(A)
Department was beaten to death by an alleged gang (B)
of illicit liquor suppliers. No error
(C) (D)
152. The cold wave tightened its grip of North India as
(A)
the temperature in several parts of the region
(B)
plummeted due to icy winds. No error
(C) (D)
153. The accusations have cast a shadow over peace talks
(A)
spearheaded by regional leaders to end the bloody
(B)violence believed to have killed thousands. No error
(C) (D)
154. A top Iranian nuclear negotiator expressed hope that
(A)
a deal with world powers could implement within a
(B) (C)
month. No error
(D)
155. In a couple of years we intend to double our current
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(A)
revenue of rupees five crores. No error
(B) (C) (D)
Directions: In question nos. 156 to 160 sentences
are given with blanks to be filled in with an appropriate
word(s). Four alternatives are suggested for each question.
Choose the correct alternative out of the four and indicate
it by blackening the appropriate rectangle [ ] in the
Answer-Sheet.
156. The North-East Region of India, consisting of the
seven sister states, ________ unable to keep pace
with the growth happening in rest of the country.
(A) has been (B) should have been
(C) have thus (D) have so far been
157. To make a career in economics one should normally
have a postgraduate degree ________ a few careers
may be available after graduating with economics as
one of the subjects.
(A) since (B) exceptionally(C) although (D) however
158. For certain age concessions admissible to various
categories, please ________ the instructions
regarding Concessions and Relaxations.
(A) bring in (B) check in
(C) consider (D) go through
159. Sahitya Akademi Award has been ________ .
(A) announced (B) promulgated
(C) declared (D) published
160. Newbie AAP has issued a form for partys ticket
seekers in the ________ Lok Sabha elections.
(A) ensuing (B) upcoming
(C) imminent (D) nextDirections: In question nos. 161 to 165, out of the
four alternatives choose the one which best expresses the
meaning of the given word and mark it in your Answer-
Sheet.
161. Hoist
(A) distinction (B) raise
(C) respect (D) glory
162. Subversion
(A) succession (B) extraction
(C) absorption (D) disruption
163. Wayward
(A) perverse (B) brainless (C) vigilant (D) alert
164. Sprint(A) fracture (B) lavish (C) run (D) geyser
165. Infuriate
(A) acquire (B) provoke (C) hurt (D) instil
Directions: In question nos. 166 to 170, choose the
alternative opposite in meaning to the given word and mark
it in the Answer-Sheet.
166. Patriotism
(A) chauvinism (B) sedition
(C) sovereign (D) troublesome
167. Recalcitrant
(A) clamorous (B) stupid
(C) vigilant (D) serene
168. Procrastinate
(A) examine (B) intense
(C) agile (D) powerful
169. Rendezvous
(A) separation (B) tryst
(C) disloyal (D) meeting
170. Tacit
(A) implied (B) shabby
(C) tangible (D) expressed
Directions: In question nos. 171 to 175, four
alternatives are given for the idiom/phrase bold-italicised
in the sentence. Choose the alternative which best
expresses the meaning of the idiom/phrase and mark it in
the Answer-Sheet.
171. I could notmake head nor tailofDhoom 3.
(A) see (B) copy(C) visit (D) understand
172. To secure good marks in the exam you should study
withmight and main.
(A) devotion (B) concentration
(C) all enthusiasm (D) perseverance
173. Rakesh wasfull of beansafter a long sleep.
(A) full of motivation (B) full of energy
(C) full of power (D) full of intelligence
174. The sale of the housefell throughat the last minute.
(A) failed (B) completed
(C) decreased (D) increased
175. The school bullypounced onthe younger child at the
bus stop.(A) rebuked (B) helped
(C) jumped on (D) beat
Directions: In question nos. 176-180, a part of the
sentence is underlined. Below are given alternatives to
the underlined part at (A), (B) and (C) which may improve
the sentence. Choose the correct alternative. In case no
improvement is needed your answer is (D). Mark your
answer in the Answer-Sheet.
176. The Delhi power regulator has turned out a request
by the distribution companies to hike power tariffs in
the Capital.
(A) turned up (B) turned down
(C) turned over (D) No improvement177. Thailands army chief urged both sides in the countrys
bitter political dispute to show restraint, but does not
rule over the possibility of a coup.
(A) but cannot refute (B) but did not make out
(C) but did not rule out (D) No improvement
178. UP Chief Minister slammed a top bureaucrat for his
bizarre and insensitive statement on children died from
cold in the riot relief camps in western UP.
(A) dying of cold (B) died from cooling
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(C) died with cold (D) No improvement
179. Having the safety of the helicopter and its occupants
in mind, it has been decided that no punitive action
would be taken against pilots who decided to abort
the mission and carry out safe forced landing due to
deteriorating weather.
(A) Taking the (B) Putting the
(C) Keeping the (D) No improvement
180. The ongoing tussle between India and the US over
arrest and ill treatment of a diplomat has resulted in
US Ambassador Nancy Powell calling on her travel
plans to Nepal.
(A) calling out (B) calling off
(C) calling for (D) No improvement
Directions: In question nos. 181 to 185, out of the
four alternatives, choose the one which can be substituted
for the given words/sentence.
181. State of wild excitement and great happiness
(A) Nemesis (B) Rendition(C) Incredulous (D) Delirium
182. The fear of crowds
(A) Pyrophobia (B) Hamophobia
(C) Demophobia (D) Cynophobia
183. Money given as a reward
(A) Bounty (B) Legacy
(C) Alms (D) Arrears
184. Flowing out of something in a fast and forceful way
(A) Passage (B) Spew
(C) Trespass (D) Expulsion
185. Killing illegally as a punishment for a crime
(A) Murder (B) Slaughter
(C) Assassination (D) LynchDirections: In question nos. 186 to 190, four words
are given in each question, out of which only one word is
correctly spelt. Find the correctly spelt word and indicate
it in the Answer Sheet by blackening the appropriate
rectangle.
186. (A) occured (B) ocasion
(C) nousea (D) omitted
187. (A) mathemetics (B) magnifecent
(C) maintainance (D) marquee
188. (A) fermentesion (B) farewell
(C) failthfuly (D) foreignheite
189. (A) onomatopoeia (B) sattellite
(C) tapeistry (D) vaccum190. (A) parallalled (B) quoram
(C) sirocco (D) scintilating
PASSAGE I (Question Nos. 191 to 195)
It is the duty of any responsible government to
provide lifeline water to its citizens. We may debate the
quantum, but can we argue against the principle? This is
what Arvind Kejriwal, the newly elected Chief Minister of
Delhi, tweeted immediately after announcing 666 litres of
free water per day (or 20 kilolitres of water a month) to
every household connected with a metre.
Is this move economically viable for the Delhi Jal Board
(DJB)? Is it necessary to provide free water supply to every
household? Since Delhi does not have any reliable
perennial water source, where will the water come from?
Water is increasingly becoming an economic goods
worldwide because of its storage and distribution costs.
Rainwater is harvested in dams and reservoirs to be
supplied for various purposes, including domestic use,
which involves huge cost. At the same time, groundwater
is exploited at an alarming rate; it also involves huge drilling
and electricity costs. The cost of management and
distribution of water for urban households is massive.
Why provide water free to all households when the
per capita income of this State is much higher than the
national average? Is it not against the ability-to-pay
principle? This free scheme is reportedly going to cost
about `160 crore per annum at current prices for the DJB
and is expected to increase manifold for a variety of reasons.How is DJB to manage this cost?
According to one estimate, the DJBs net cash revenue
surplus increased from `40.56 crore in 2007-08 to `233.57
crore in 2013-14. DJBs dependence on the government for
operational costs reduced from `380 crore in 2009-10 to
zero in 2013-14, a remarkable achievement. The financial
condition of DJB will now run into a mess.
Delhi does not have the luxury of a perennial surface
source of water. It needs water from the neighbouring State
of Haryana which is guaranteed. Haryanas Chief Minister
Bhupendra Singh Hooda has already cautioned that Delhi
is getting more than its due share.
Besides, the groundwater stock is precariousin theState. As per the estimate of Central Ground Water Board,
the total annual replenishable groundwater resource is only
0.30 BCM (billion cubic metres) for Delhi, but the draft of
groundwater is already 0.48 BCM/year, which is way above
the permissible limit. Owing to the increased scarcity of
water, the present supply of water even in posh areas is
only about 509 litres per household per day, below the
promise made by this new government.
191. Why has the author raised a question against free
water supply to every household in Delhi?
(A) Because every household in Delhi is capable of
paying water bill.
(B) Because it is sheer nonsense to manage water onheavy cost and supply it for free.
(C) Because Delhi does not have any reliable
perennial source of water.
(D) Because Delhi Jal Board is already running in loss.
192. Find the incorrect statement on the basis of the given
passage.
(A) The newly elected Chief Minister of Delhi has
announced 20 kilolitres of water for free to every
household in Delhi.
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(B) It is the duty of any responsible government to
provide lifeline water to its citizens.
(C) The present supply of water even in posh areas
is below the promise made by the new
government.
(D) None of these
193. What arguments have been placed against providing
free water to all households in Delhi?
(A) The free water scheme will cost about 160 crore
rupees per year at current prices for the Delhi Jal
Board.
(B) The per capita income of Delhi is much higher
than the national average.
(C) It is against the ability to pay principle.
(D) All the above
194. Which of the following statements is/are true in the
context of the given passage?
(A) In comparison to 2007-08, the DJBs net cash
revenue surplus increased fivefold in 2013-14.(B) As per the given statistics, DJB does not have to
depend on the government for operational cost
as of now.
(C) The new scheme of free water supply will not
have much effect on the financial condition of
Delhi Jal Board.
(D) The water of the river Yamuna is more than
enough to meet the water requirement of Delhi.
195. What is meaning of the word precarious as used in
the given passage?
(A) unsafe (B) enough
(C) uncertain (D) little
PASSAGE II (Question Nos. 196 to 200)It is a brutal management technique in which bosses
grade their employees performance along a vitality curve
and sack those who fall into the lowest category. Known
as ranking and yanking, it had its heyday in the 1980s
and 1990s. In America its popularity faded somewhat after
it was seen to have contributed to the fall of Enron. Now it
is back in the headlines.
All Things D, a tech-industry website, reported that
Yahoo staff are increasingly unhappy about a quarterly
performance review introduced last year by the new boss,
Marissa Mayer. The grading exercise is said to have cost
600 of them their jobs.
Microsoft announced that its own, equally unpopular,system was being scrapped. In a memo, Lisa Brummel,
Microsofts head of human resources, said there would be
no more ratings and no more curve. The firm would
implement a fundamentally new approach designed to
encourage teamwork and collaboration.
Many firms, from Amazon to PwC, still use some
version of what management theorists also call stack
ranking to sort the sheep from the goats in their workforce.
However, many of them enforce it more flexibly than seems
to have been the case at Microsoft or Yahoo. Even General
Electric, which pioneered the technique during the
uncompromising reign of Neutron Jack Welch (GEs boss
from 1981 to 2001), has since softened its approach.
The reason such gradings have not died out entirely
is because employers still need to find ways to fairly
evaluate their employees and have a basis for
compensation differences. This is especially true when
there is a wide gap between the remuneration of top
performers and the rest. To avoid lawsuits claiming unfair
discrimination, firms need to be able to show they have a
clear basis for decisions on pay and bonuses.
Ranking and yanking is more logical in investment
banks, law and accountancy firms and big consultancies:
their business model is, in a sense, built on recruiting large
numbers of junior staff and motivating them with the
prospect of becoming a partner, even though in practice
only a few of them can ever make it. In other types of
business, the evidence suggests that it may work at first, ifa firm needs to cut away dead wood. But the benefit can
disappear and turn into a cost if the ranking and yanking is
done repeatedly.
196. What is the meaning of the phrase ranking and
yanking as used in the given passage?
(A) It is a technique in which employees are
downgraded and are given less remuneration.
(B) It is a management technique in which the
performance of the employees is measured. They
are ranked for their good performance and pulled
down to the lowest category if they do not live
up to the expectation of their firms.
(C) It is a grading system in which employers seek tofind out the fair basis for compensating the loss
of their employees.
(D) None of these
197. Why does Lisa Brummel discourange the rating
system?
(A) Because it discourages the sense of obedience
and dedication towards their work among the
employees.
(B) Because it creates a sense of jealousy among the
employees towards those who are ranked and
given high remuneration.
(C) Because it discourages teamwork and
collaborative effort among the employees.(D) All the above
198. Which of the following is not true according to the
passage?
(A) The reason why grading systems have not been
scrapped so far is because till date they serve as
a yardstick to appraise their employees and have
a basis for compensation differences.
(B) Rating system can never in any way discourage
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teamwork and collaboration.
(C) The benefit can disappear if the ranking and
yanking is done repeatedly.
(D) Stack ranking is the process of selecting the better
from a group of many.
199. As per the reports of All Things D, a tech-industry
website, what was the reason of unhappiness of Yahoo
Staff?
(A) A new annual performance appraisal system
introduced by the new boss last year
(B) Meagre salary paid to them
(C) The new system introduced by Marissa Mayer
will cut a certain percentage of incentive paid to
them.
(D) As a result of the grading exercise, six hundred
staff had to lose their job and the same may
happen with them also.200. What is the meaning of the word scrapped as used
in the passage?
(A) practised (B) cancelled
(C) criticised (D) implemented
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Answers
1.B;I G A Y L O X W
1 2 3 4 5 6 7 0
So,
2.C;
Similarly,
So,
3.A;
Given expression, 25 P 20 Q 5 V 10 T 16
= 25 + 20 5 10 16
= 25 + 4 10 16
= 25 + 40 16
= 65 16 = 494.A;
Hence, R is brother-in-law of Js mother.
5.B;
6. D; Except D, all are negative feelings.
7. D; Except medulla, all are parts of the
eye. Medulla is a part of the brain.
8.C; Rest are places where we stay but club is
a place where we gather.
9. A; Except A, all others are consecutivealphabets in reverse order.
10.B;
11. D; Except D in all others, the second
number is an even multiple of the first.
12.A;
21 = 2 + 1 = 33= 27
15 = 1 + 5 = 63= 216
13 = 1 + 3 = 43= 64
13. B; Both are opposite in meaning.
14. A; Second is the property possessed by
the first.
15. C; The group of soldiers is called army
and the group of cows is called herd.
16. D; Lack of first leads to the second.
17.D; 32 (23)2= 529
43 (34)2 = 1156
18. C;
19. C;
20. A;
21.D; 18 12 + 20 = 26
Similarly, 13 6 + 28 = 35
So, ? 8 + 11 = 19
or, ? = 27 11 = 16
22.B; 2 + 12 3 = 12 + 36 = 48
Similarly, 8 2 + 15 3 = 16 + 45 = 61
So, 13 2 + 11 3 = 26 + 33 = 59
23.C;
24.B;
25 .C; There are only two Ts in the key
word and no M.
26.C; There is no A in the key word.
27. D; There is no M in the key word.
28.B; 3 4 8 14 + 7
3 4 + 8 14 7
12 + 8 2
= 20 2 = 18
29.C; 1000?100
65850
100
18625
or, 112.5 + 552.5 = 665.0 + ? = 1000
or, ? = 1000 665 = 335
30.A;
Similarly,
31. B
32.D; Girls mothers brother = only son of
Nishants mothers fath er
or, Girls mothers brother = Nishants
maternal uncle
or, Girls mother = Nishants aunt or mother
33.D; Ws rank from bottom = 18 + 8 = 26
Ws rank from top = 49 26 + 1 = 24
34.B; Blue + Yellow = GreenHence, F is the combination of Blue and
Yellow.
35.D; The number of girls is x.
The number of boys is 3x.
Total number of students is x + 3x = 4x. The
number which is divisible by 4 is the number
of children. Now, 42 is not divisible by 4.
36.A; bbccdd/bbccdd/bbccdd
37. B;
38.C; Most of the people are doctors means
Some people are doctors (I) + Doctors are
MBBS means All doctors are MBBS (A) = I +
A = I = Some people are MBBS. Hence,
conclusion I follows.
Again, Doctors are MBBS conversion
Some MBBS are doctors. Hence, conclusion
II does not follow.39. A; Rama is a clerk (A) + All clerks are
honest (A) = A + A = A = Rama is honest.
Hence, conclusion II follows. But I does not
follow.
40. D;
41. C 42. D 43. B 44. B 45. C
46. D 47. B 48. A 49. D 50. C
51. B 52. C 53. B 54.A 55. D
56. D 57. C 58. A 59. C 60. D
61. B 62. B 63. C 64. B 65. B
66. A 67. C 68. B 69.A 70. B
71. B 72. B 73. C 74. C 75. A
76. A 77. B 78. D 79. C 80. C
81. D 82. B 83. B 84. C 85. A
86. D 87. C 88. D 89. B 90. C
91. D 92. D 93. C 94. D 95. D
96. B 97. D 98. D 99. C 100. B
101.B;
Since D, E and F are mid-points of the sidesof ABC, the areas of ADE, EFC, DEF,
DFB are equal.
area of DEF =4
1of area of ABC
So, area of DEFB = DFB + DEF
= 364
136
4
1= 9 + 9 = 18 cm2
102.C;
CAB = CAD
And ACB = ACD
ACB and ADC are congruent triangles
by ASA.
Area of ACB = Area of ADC
ar(ABCD) = 2(arACD) = 48 cm2
103.C; We have, sin = 22 ba
a
cos = 2sin1
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= 22
2
22
2
ba
b
ba
a1
= 22 ba
b
cot
=sin
cos= a
ba
ba
b 22
22
=a
b
104.D; We have, sin + sin2 = 1
or, sin = 1 sin2
or, sin = cos2
Now, cos12
+ 3 cos10
+ 3 cos8
+ cos6
+
2 cos4 + 2cos2 2
= (cos12 + 3 cos10 + 3 cos8 + cos6 ) +
2(cos4 + cos2 1)
= cos12
+ 3 cos10
+ 3 cos8
+ cos6
cos4
+ cos2 1
Now, cos2 = sin
cos4 = sin2 . Also, (a + b)3= a3+ 3a2b +
3ab2+ b3
Thus, given expression = (cos4
+ cos2
)3 +2(cos4 + cos2 1)
= (sin2 + cos2 )3 + 2(sin2 + cos2 1)
= 1 + 0 = 1
105.B;
Now, AB AC = AD AE
or, 6(6 + 4) = 5(5 + DE)
or, 60 25 = 5DE
or, 5DE = 35
DE = 7 cm
106.D;
S is the mid-point of QR.
So,2
1 PQR = PSR
1
2
PSR
PQR Hence, ratio = 2 : 1
107.D;
Let OQ be the raidus.
Then, OQ = r = 12 cm
Area of POQ =2
1 b h
or,2
1 b h = 180
or,2
1 12 PQ = 180 ( b = OQ)
PQ = 30 cm
108.D;
Here, OQ = 5 cm
OM = OT = 4 cm
Now, in TOQ
TQ = 22 45 = 3 cm
PQ = 2 TQ = 3 2 = 6 cm
109. C; Since ADB is exterior angle of
ADC,
ADB = DAC + ACD
or, 60 = 30 + ACD
ACD = 30
Now, AB = AC. So, ABC = 30
BAC = 180 (30 + 30) = 180 60
= 120
BAD = 120 30 = 90
110.D; We have, cosx = cos 60.cos 30 +sin 60.sin 30
=2
1
2
3
2
3
2
1
=2
3
4
32
4
3
4
3
or, cosx = cos 30 x = 30
111.C;
Let triangle ABC be an is isosceles triangle
Here AB = AC = 10 cm
And perimeter of isosceles ABC = 32 cm
So, BC = 32 (10 + 10) = 12 cm
Now, area of isosceles tr iangle ABC
=22 b40
4
b=
212101044
12
( b = BC = 10 cm)
= 3 144400 = 2563
= 3 16 = 48 cm2
112.D;
Let the park be ABDC
Then area of park = 18 15 = 270 m2
Now, area of PQSR = (18 + 4) (15 + 4)
= 22 19 = 418 m2
Area of path = Area of PQSR Area of
rectangle ABDC = 418 270 = 148 m2
Hence, cost of constructing the path
= 148 25 = `3700
113. C; Area of circle = r2
Then, r2 = 1326
or, r2=2
71326 = 441
r =441
= 21 cm
Now, per imeter of the circle = 2 r
= 217
222 = 132 cm
Hence, cost of painting the fence = 132 6
= `79 2
114. B; Given, area of the sector of the circle
= 22m2
Then,2r.
360 = 22
or,2r
7
22
360
70 = 22
( Angle of sector = 70 given)
or, r
2
= 36 r = 6 m
Now, area of the circle = r2= 667
22
= 113.14 m2
115.D; Area of the trapezium
=2
1 height sum of parallel sides
= h)166(2
1
= h222
1 = 209 m
or, h = 19m
116.A; We have,
x cot 45.sin 60 = cos 60.tan60
or, x 1 2
3= 3
2
1
or,2
3x
2
3
x = 1
117.C; We have,31
31
sincos
sincos
or,)31()31(
)31()31(
)sin(cos)sin(cos
)sin(cos)sin(cos
(Applying componendo dividendo)
or,32
2
sin2
cos2
or, cot =3
1= cot 60 = 60
118. C; Let the the distance be D km.
Since both the trains take 6 hours to reach
from point A to B,
Speed =6
D
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Distance travelled by the first train before
the second train starts = 2 6
D
=3
D km
Now distance between them
= D 3
D=
3
D2km
Time taken =
6
D
6
D3
D2
= 2 hours
Hence, both the trains meet 2 hours after
the second train starts.
So, they meet at 10 am
119.B; Part of the tank filled by the pipes in
1 minute =15
1
10
1
4
1
=30
23
4
1=
6
1
4
1=
12
23=
12
1
Hence, the tank fills in 12 minutes.
120.D; Rajus work in 2 hours =4
1
8
2
Shyams work in 2 hours =10
2=
5
1
Total work in 4 hours =5
1
4
1 =
20
9part
Work in 8 hours = 220
9 =
10
9
Remaining work =10
91 =
10
1
Since it is Shyams turn, he can do10
1work
in 1 hour.
Hence, total time = 8 + 1 = 9 hours
121.D; Average selling price of a T-shirt
=10
)45004(6000)48005(
= `4800
Profit = 4800 4500 = 300
Gain = 100
4500
300 = 6.66%
122.D; By alligation method,
So, 12 : 4 = 3 : 1
1 30
3 3 30 = 90 litres
123. B; Difference
1100
301360001
100
15136000
12
= 11610 10800 = `810
124.C; Ratio of Ruchi : Seema : Parul
= 17 : 21 : 27
Now, sala ry paid to workers
=100
10000010100012
= 12000 + 10000 = `22000
Net profit = 100000 (120 00 + 10000)
= 78000
Ruchis share = )272117(
7800017
= `20400
125. D; Let the cost price of Mahesh be
`100.
Then,
SP of Mahesh = CP of Suresh =100
120100
= `12 0
SP of Suresh = CP of Nilesh = 120 100
85
Difference in cost price of Mahesh and Nilesh
= 102 100 = `2
According to the question:
If difference is 2, cost price is `2500
Selling price of Mahesh = Cost price of
Suresh.
Hence, selling price of Suresh =2
50102
= `2550
126.D; Let the original price be `x.
Then, 100
130
100
85
100
120
x
= 3315
x =13085120
1001001003315
= `2500
127. C;
Given, 3x= 9y 31= 32y 31= 32y 1
x = 2y 1 ... (i)
Again, 25x = (3125)y 625
or, 52x= 55y 54
or, 52x= 55y + 4
2x = 5y + 4 ... (ii)
Putting the value of x from (i) in equation
(ii), we get
2(2y 1) = 5y + 4
or, 4y 2 = 5y + 4
or, 9y = 6
y =9
6=
3
2
x =2
43
25
=6
2=
3
1
Now, x + y =3
3
3
2
3
1 = 1
128.B; yy= 3125 = 55
y = 5 and 2
x
x = 216 = 63=
2
6
6
x = 6
Hence, x + y = (6 + 5) = 11
129.D; Reqd ratio =
100
215x5100
210x4
=x150
x80=
15
8= 8 : 15
130. B; Let the first, the second and the
third number be x, y and z respectively.
Then, 40z3
2
4
y
2
x
or, 6x + 3y + 8z = 480 ... (i)
Again,4
x+
6
y+
3
z= 25
or, 3x + 2y + 4z = 300 ... (ii)
Now, on multipling equation (ii) by 2, we get6x + 4y + 8z = 600 ... (iii)
Now, subtract ing equation (i) from (iii ), we
get
y = 120
131.B; Reqd % fall = 100150
3 = 2%
132.C; Reqd ratio =14
35
42
105
210
525
=2
5= 5 : 2
133.D; Reqd % = 100180
180525
= 19266.191100180
345 %
134.A; Reqd % = 100150
150210
= 100150
60 = 40%
135.D; Reqd ratio =30
23
180
138 = 23 : 30
136.D;
In FCE, tan30 =AP
x ( FE = AP)
tan 60 =AB
x( FD = AB)
Again in CFD
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K
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There are three unknown units so the data
inadequate.
137.B;
BD =2
1AC = 12.5 cm
GD =3
5.12= 4.166 4.17 cm
138.C; Area of square = 16 cm2
S = 4 cm, Diagonal = cm24
Area of equilateral triangle =4
3(a)2
= 2164
3 = 38 cm2
139.C;
Here, AB = 8 cm and OP = 3 cm
PB = 4 cm ( PB = AP =2
AB)
OB = 22 PBOP = 169 sq m
= 5 cm
Area of the circle = r2= 25 = 25 cm2
140. C; Investment of Kapil
In 1st 3 months = 2400
Next 3 months = 3600
Next 3 months = 4800
Next 3 months = 6000
Total investment of Kapil = 3(2400 + 3600
+ 4800 + 6000) = 50400
Investment of Mahek = 3(4800 + 4000 +
3200 + 2400) = 43200
Ratio = K : M = 7 : 6
Maheks share =13
26006
= `1200
141.D; Total cost = 40000 + (5 5000)
= `65000
Average cost =5000
65000= `13
142. B; Before triplets, total age = 26 3
= 78
Average age of the family just after triplets
were born =6
78 = 13
Average age 10 years hence = 13 + 10
= 23 years
143.C; Rajus 1 days work =10
1
Sanjays 1 days work =15
1
Total days taken = 9
Let Raju join after x days.
(R + S)s 1 days work =15
1
10
1 =
6
1
Work done =
10
x9
15
9 = 1
144.D; Prathams 1 days work =8
1
Gauris one days work =24
1
x = 5 days
Work done by Gauri in 8 days =3
1
Remaining work =3
2
(P + G)s work in 1 day =24
1
8
1 =
6
1
6
1work is done in 1 day
3
2work is done in 6
3
2 = 4 days
Total numbers of days = 8 + 4 = 12 days
145.B; Let the sum be `100.
After 6 years = `200
SI = `100
Six times = `600
SI = 500
Interest Time
`100 6 years
`500 x years
x = 100
6500
= 30 years
146.A; We have, 5 tan = 4
tan
=5
4Now,
cos5sin
cos3sin5
(Dividing numerator and denominator by
cos )
cos
cos5sincos
cos3sin5
5tan3
3tan5
55
43
35
45
5tan3
3tan5
=37
5
5
2512
1
147.D; Aartis one days work =12
1
Bharatis one days work =24
1
Bharatis 12 days work =2
1
Remaining2
1 work done together in 1
day = 24
1
12
1
= 8
1
Number of days reqd = 4
8
12
1
Bharati worked for (12 + 4) = 16 days
Work done in 4 days by Aarti
= 4 12
1=
3
1
And work done by Bharati =3
2
Ratio of shares of Aarti and Bharati
= 1 : 2
Aartis share =3
1801= `60
148. D; P works for 8 days and does20
8
work. Ps share =20
8 45000 = 18000
Qs share =30
8 45000 = `12000
Rs share = 45000 (12000 + 18000)
= `15000
149.C; LCM of 16, 24, 40 = 240
Smallest 4-digit multiple of 240 = 1200
The smallest no. to be lessened by 12 and be
divisible by 16, 24, 40 = 1200 + 12 = 1212
Largest 4 digit multiple of 240 = 9840
The largest no. to be lessened by 12 and be
divisible by 16, 24 and 40
= 9840 + 12 = 9852
150.B; Find the HCF of the differences of
divisor and remainder.
3300 23 = 3277 and 3640 24 = 3616
So HCF of 3277 and 3616 = 113
151. A; Replace in with with
152.A; Replace of with on
153. D
154. B; Replace could implement withcould be implemented.
155.C; Replace crores with crore
156.A 157. C 158. D 159.A 160. B
161. B 162. D 163.A 164. C 165. B
166. B 167. D 168.C 169.A 170. D
171. D 172. C 173.B 174.A 175. C
176. B 177. C 178.A 179. C 180. B
181. D 182. C 183.A 184. B 185. D
186. D 187. D 188.B 189.A 190. C
191. B 192.A 193. D 194. B 195. C
196. B 197. C 198.B 199. D 200. B