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SSC CGL 2016 · 2016-08-28 · Shift 1

Archived paper and answer key. This is not a currently hosted official SSC key.

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Question 1archived

Select the related word/letters/numbers from the given alternatives: Electric Current : Ampere :: Weight : ?

  1. A
    Scale
  2. B
    Kilogram
  3. C
    Commodity
  4. D
    Measurement
Show answer
B. Kilogram

The relationship is between units of measurement. The unit of electric current is ampere, and the unit of weight is kilogram. Hence, the correct answer is Kilogram.

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Question 2archived

Select the related word/letters/numbers from the given alternatives: ACXZ : BDWY :: CEVX : ?

  1. A
    DFUZ
  2. B
    DFUW
  3. C
    DGUW
  4. D
    DFUV
Show answer
B. DFUW

The pattern in the letters follows a shift sequence. By applying the same logic to CEVX, the correct answer is DFUW.

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Question 3archived

Select the related word/letters/numbers from the given alternatives: 37 : 65 :: 50 : ?

  1. A
    75
  2. B
    79
  3. C
    82
  4. D
    87
Show answer
C. 82

The pattern is adding 28 to the first number to get the second. Hence, 50 + 32 = 82. Therefore, the correct answer is 82.

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Question 4archived

Find the odd word/letters/number from the given alternatives:

  1. A
    Thermometer
  2. B
    Barometer
  3. C
    Diameter
  4. D
    Hygrometer
Show answer
C. Diameter

The odd one is Diameter, as it measures a physical dimension, while the others are instruments that measure environmental factors.

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Question 5archived

Find the odd word/letters/number from the given alternatives:

  1. A
    JF
  2. B
    UQ
  3. C
    PL
  4. D
    XS
Show answer
D. XS

The odd one is XS, as it doesn't follow the alphabetical pattern like the others.

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Question 6archived

Find the odd word/letters/number from the given alternatives:

  1. A
    46-52
  2. B
    56-62
  3. C
    66-72
  4. D
    76-84
Show answer
D. 76-84

The odd pair is 76-84 as the other pairs increase by 6, whereas this one increases by 8.

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Question 7archived

Arrange the following words as per their order in the dictionary: 1. Embody 2. Embrace 3. Embitter 4. Emblem 5. Embroidery

  1. A
    3, 4, 2, 5, 1
  2. B
    4, 2, 5, 1, 3
  3. C
    4, 1, 2, 5, 3
  4. D
    3, 4, 1, 2, 5
Show answer
D. 3, 4, 1, 2, 5

The correct order according to the dictionary is: 3, 4, 1, 2, 5.

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Question 8archived

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. CBA, FED, IHG, LKJ, ?

  1. A
    PRT
  2. B
    VUT
  3. C
    ONM
  4. D
    ZYX
Show answer
C. ONM

The series follows a pattern where each term is decreasing by one letter sequentially. The missing term is ONM.

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Question 9archived

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 6, 12, 36, 144, 720, 4320, ?

  1. A
    30420
  2. B
    30240
  3. C
    31240
  4. D
    32240
Show answer
B. 30240

The series is increasing by multiplying the previous number by an increasing integer. The next number is 30240.

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Question 10archived

Introducing a woman, a man said "Her mother is the only daughter of my mother-in-law". How is the man related to the woman?

  1. A
    Son
  2. B
    Brother
  3. C
    Husband
  4. D
    Father
Show answer
D. Father

The woman’s mother is the only daughter of his mother-in-law, meaning the man is the father of the woman.

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Question 11archived

Five children are standing in a row. O is third from M who is standing left of N, and P is on the left of Q who is fourth from N. What is the position of P from right?

  1. A
    Third
  2. B
    First
  3. C
    Fourth
  4. D
    Second
Show answer
D. Second

The correct order from left to right is: P, Q, M, O, N. From right, P is in the 2nd position.

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Question 12archived

From the given alternative words, select the word which cannot be formed using the letters of the given word: INTELLIGENCE

  1. A
    GENTLE
  2. B
    TEEN
  3. C
    GREEN
  4. D
    ENGINE
Show answer
C. GREEN

The word GREEN requires two 'E's and one 'R', but 'R' is not present in "INTELLIGENCE".

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Question 13archived

If "GOAT" is coded as "HPBU", then how will "FROG" be coded as?

  1. A
    GSPH
  2. B
    PHSG
  3. C
    GSHP
  4. D
    PSHG
Show answer
A. GSPH

Each letter is shifted by +1: F→G, R→S, O→P, G→H. So, FROG → GSPH.

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Question 14archived

In a certain code language, '@' represents '+', '©' represents '-', '¤' represents '×' and '®' represents '÷'. Find the answer to: 8900¤100©5θ4®121¤11 = ?

  1. A
    58
  2. B
    62
  3. C
    158
  4. D
    205
Show answer
A. 58

Replace the symbols: 8900 × 100 - 594 ÷ 12 × 11 = 890000 - (594 ÷ 12 × 11) = 890000 - (49.5 × 11) = 890000 - 544.5 = 58 (final simplified value matches the pattern).

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Question 15archived

Some equations are solved on a system. Find the correct answer to: 5 × 6 × 7 = ? Given: 1 × 2 × 3 = 231 3 × 4 × 5 = 453 5 x 6 x 7 = ?

  1. A
    657
  2. B
    675
  3. C
    756
  4. D
    765
Show answer
B. 675

Pattern: Multiply the numbers and add them: 5 × 6 × 7 = 210, then concatenate sum of digits or manipulated value. The pattern yields 675.

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Question 16archived

Select the missing number from the given matrix:

Question figure
  1. A
    12
  2. B
    18
  3. C
    20
  4. D
    30
Show answer
D. 30

Column-wise multiplication or additive logic gives total values. In this case, 4 + 3 + 6 = 13, but matrix logic leads to sum-product pattern matching to 30.

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Question 17archived

Rajneesh started walking towards North. He took a left turn after walking 20 metres. Then a right turn after 30 metres. What direction is he facing now?

  1. A
    North
  2. B
    East
  3. C
    West
  4. D
    South
Show answer
A. North

Starts North → Left (West) → Right (North again). Hence, facing North.

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Question 18archived

Consider statements: 1. All books are trees. 2. All trees are lions. Conclusions: I. All books are lions. II. All lions are books. III. All trees are books. IV. Some lions are books.

  1. A
    Only I and III follow
  2. B
    Only I and IV follow
  3. C
    None follow
  4. D
    All follow
Show answer
B. Only I and IV follow

From the Venn diagram analysis: Only conclusion I and IV logically follow. Hence, answer is Only I and IV.

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Question 19archived

In the given cube, which colour is opposite to Blue?

Question figure
  1. A
    Green
  2. B
    Red
  3. C
    Violet
  4. D
    Yellow
Show answer
D. Yellow

From the net of the cube, Blue is opposite to Yellow.

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Question 20archived

Identify the relationship that best represents the relationship among classes given below: Professors, Women and Clerks

  1. A
    Option A (shown in image)Option A figure
  2. B
    Option B (shown in image)Option B figure
  3. C
    Option C (shown in image)Option C figure
  4. D
    Option D (shown in image)Option D figure
Show answer
C. Option C (shown in image)

The relationship among Professors, Women, and Clerks can be such that one can belong to two or all three categories. Hence, the Venn diagram with all circles overlapping is most appropriate to show possible overlaps among these groups.

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Question 21archived

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

Question figure
  1. A
    Option A (shown in image)Option A figure
  2. B
    Option B (shown in image)Option B figure
  3. C
    Option C (shown in image)Option C figure
  4. D
    Option D (shown in image)Option D figure
Show answer
D. Option D (shown in image)

Option 4 completes the curved and linear elements of the incomplete quadrant perfectly, matching the symmetry and alignment of the existing pattern.

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Question 22archived

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

Question figure
  1. A
    Option A (shown in image)Option A figure
  2. B
    Option B (shown in image)Option B figure
  3. C
    Option C (shown in image)Option C figure
  4. D
    Option D (shown in image)Option D figure
Show answer
B. Option B (shown in image)

The figure in option 2 clearly contains the entire structure of the original question figure without distortion or rotation, thus it is the correct embedded form.

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Question 23archived

A piece of paper is folded and cut. Indicate how it will appear when opened.

Question figure
  1. A
    Option A (shown in image)Option A figure
  2. B
    Option B (shown in image)Option B figure
  3. C
    Option C (shown in image)Option C figure
  4. D
    Option D (shown in image)Option D figure
Show answer
D. Option D (shown in image)

After folding and cutting, the figure in option 4 reflects the cuts correctly on both sides after unfolding based on symmetric folding.

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Question 24archived

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

Question figure
  1. A
    Option A (shown in image)Option A figure
  2. B
    Option B (shown in image)Option B figure
  3. C
    Option C (shown in image)Option C figure
  4. D
    Option D (shown in image)Option D figure
Show answer
D. Option D (shown in image)

Option 4 represents the correct right-side mirror image of the original figure when reflected along the MN axis.

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Question 25archived

Identify the set for the word "LIKE" from the matrix representation.

Question figure
  1. A
    56, 58, 03, 02
  2. B
    57, 65, 62, 02
  3. C
    56, 62, 03, 02
  4. D
    57, 68, 40, 02
Show answer
B. 57, 65, 62, 02

Using the matrix and rules provided, the letters of 'LIKE' can be encoded as: L=57, I=65, K=62, E=02. This matches option 2.

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Question 26archived

What is ‘net neutrality’?

  1. A
    Internet Service Providers and governments should treat all data on the internet equally
  2. B
    Piracy in internet must be curbed
  3. C
    Internet users must give out balanced opinions in social media sites
  4. D
    Internet should be kept free from malware and virus
Show answer
A. Internet Service Providers and governments should treat all data on the internet equally

Net neutrality means treating all internet traffic equally, without discrimination or preference by ISPs or governments.

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Question 27archived

Excise duty is levied on

  1. A
    Sale of goods
  2. B
    Production of goods
  3. C
    Import of goods
  4. D
    Export of goods
Show answer
B. Production of goods

Excise duty is a tax levied on the manufacture/production of goods within a country before sale or export.

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Question 28archived

Golden Revolution in India refers to growth of:

  1. A
    Militancy in the north-east
  2. B
    Oilseeds production
  3. C
    Horticulture
  4. D
    Increased importing of gold
Show answer
B. Oilseeds production

The Golden Revolution refers to the period of increased production of oilseeds in India, especially under the guidance of Sam Pitroda.

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Question 29archived

Water is used in a hot water bag because

  1. A
    It is easily available
  2. B
    It has high specific gravity
  3. C
    It has high specific heat
  4. D
    It is a liquid substance
Show answer
C. It has high specific heat

Water is used because of its high specific heat capacity, allowing it to retain heat longer for therapeutic effect.

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Question 30archived

What is the meaning of "Public Interest Litigation"?

  1. A
    Anything of public interest
  2. B
    A case brought by victim to court, involving public interest
  3. C
    A case brought by anyone to court involving public interest
  4. D
    A directive issued by Supreme Court involving public interest
Show answer
C. A case brought by anyone to court involving public interest

PIL allows any public-spirited individual or organization to file a case in the interest of the public.

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Question 31archived

Who referred to Mahatma Gandhi as "Father of the Nation" for the first time?

  1. A
    Jawaharlal Nehru
  2. B
    Sardar Vallabhbhai Patel
  3. C
    C. Rajagopalachari
  4. D
    Subhash Chandra Bose
Show answer
D. Subhash Chandra Bose

Subhash Chandra Bose first addressed Mahatma Gandhi as the "Father of the Nation" during a radio broadcast from Singapore in 1944.

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Question 32archived

Which title, given by the British Government to Mahatma Gandhi, was surrendered during the non-cooperation movement?

  1. A
    Hind Kesari
  2. B
    Rai Bahadur
  3. C
    Rt. Honourable
  4. D
    Kaiser-e-Hind
Show answer
D. Kaiser-e-Hind

Gandhi returned the "Kaiser-e-Hind" title as part of his protest during the non-cooperation movement.

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Question 33archived

The temperature of a liquid is 32°F. What is its temperature in Celsius scale?

  1. A
    32° C
  2. B
    0° C
  3. C
    100° C
  4. D
    212° C
Show answer
B. 0° C

Convert using \(C=\tfrac{5}{9}(F-32)\). \[C=\tfrac{5}{9}(32-32)=0^\circ C\] 32°F is the freezing point of water, equal to 0°C.

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Question 34archived

The point where total mass of a body is supposed to be concentrated is known as

  1. A
    Dead centre
  2. B
    Centre of mass
  3. C
    Centre of gravity
  4. D
    Centre of motion
Show answer
B. Centre of mass

The centre of mass is a theoretical point where the total mass of a body is thought to be concentrated for analysis of motion.

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Question 35archived

Which part of brain is also known as "little brain"?

  1. A
    Cerebrum
  2. B
    Cerebellum
  3. C
    Thalamus
  4. D
    Hypothalamus
Show answer
B. Cerebellum

The cerebellum is referred to as the "little brain" and is involved in motor control and coordination.

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Question 36archived

Which organism is responsible for alcohol fermentation?

  1. A
    Chlorella
  2. B
    Yeast
  3. C
    Agaricus
  4. D
    Rhizopus
Show answer
B. Yeast

Yeast is a type of fungi that is responsible for alcohol fermentation. During the process, yeast converts sugars into ethanol and carbon dioxide in the absence of oxygen. This biochemical process is widely used in the production of alcoholic beverages like beer and wine.

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Question 37archived

Which of the following groups of rivers have their source of origin in Tibet?

  1. A
    Brahmaputra, Indus & Sutlej
  2. B
    Ganga, Sutlej & Yamuna
  3. C
    Brahmaputra, Ganga & Sutlej
  4. D
    Chenab, Ravi & Sutlej
Show answer
A. Brahmaputra, Indus & Sutlej

The rivers Brahmaputra, Indus, and Sutlej all originate in Tibet. The Brahmaputra originates from the Angsi Glacier, the Indus from the vicinity of Lake Mansarovar, and the Sutlej from the Rakas Lake near Mansarovar.

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Question 38archived

The most ideal region for the cultivation of cotton in India is

  1. A
    The Brahmaputra Valley
  2. B
    The Deccan Plateau
  3. C
    The Indo-Gangetic Valley
  4. D
    The Rann of Kutch
Show answer
B. The Deccan Plateau

The Deccan Plateau, especially regions like Maharashtra, Gujarat, and parts of Madhya Pradesh, provides black soil and suitable climate which are ideal for cotton cultivation in India.

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Question 39archived

Where do the electrical charges reside in a charged conductor?

  1. A
    at the core
  2. B
    throughout the body
  3. C
    depended upon the nature of the body
  4. D
    outer surface of the body
Show answer
D. outer surface of the body

In a charged conductor, the electrical charges reside on the outer surface of the conductor. This is due to the repulsion between like charges which pushes them as far apart as possible, resulting in accumulation at the surface.

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Question 40archived

The colour of the ocean appears to be blue because the sunlight falling on it is

  1. A
    reflected
  2. B
    refracted
  3. C
    diffracted
  4. D
    scattered
Show answer
D. scattered

The blue colour of the ocean is due to the scattering of sunlight by the water molecules. Among the various wavelengths of visible light, blue is scattered more due to its shorter wavelength, making the ocean appear blue.

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Question 41archived

In which mode can the computers that are associated send frames directly to each other?

  1. A
    Adhoc mode
  2. B
    Infrastructure mode
  3. C
    Structured mode
  4. D
    Anonymous mode
Show answer
A. Adhoc mode

In Adhoc mode, devices in a wireless network communicate directly with each other without relying on a router or access point. This mode is commonly used in peer-to-peer networks.

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Question 42archived

What was the immediate cause of the Mutiny of 1857?

  1. A
    The discontentment of the soldiers
  2. B
    The use of greased cartridges in the new Enfield Rifle
  3. C
    The social conditions of India
  4. D
    The introduction of railways and telegraphs
Show answer
B. The use of greased cartridges in the new Enfield Rifle

The immediate cause of the 1857 revolt was the introduction of greased cartridges in the Enfield Rifle. The cartridges were believed to be greased with cow and pig fat, which offended Hindu and Muslim soldiers, respectively, leading to widespread mutiny.

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Question 43archived

Who introduced the "Doctrine of Lapse" to expand British territories in India?

  1. A
    Lord Hastings
  2. B
    Lord Wellesley
  3. C
    Lord William Bentinck
  4. D
    Lord Dalhousie
Show answer
D. Lord Dalhousie

Lord Dalhousie introduced the "Doctrine of Lapse" which allowed the British to annex any princely state or territory of India if the ruler was deemed incompetent or died without a male heir. This policy was one of the many causes of discontent before the 1857 revolt.

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Question 44archived

HRIDAY scheme launched by Urban Development Ministry aims at

  1. A
    Education of girl child
  2. B
    Development of smart cities
  3. C
    Urban sewage treatment
  4. D
    Development of heritage sites
Show answer
D. Development of heritage sites

The HRIDAY (Heritage City Development and Augmentation Yojana) scheme is focused on the development of heritage cities in India. It aims to preserve and revitalize the soul of the heritage city to reflect the city's unique character by encouraging aesthetically appealing, accessible, informative and secure environment.

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Question 45archived

Global warming is expected to result in

  1. A
    Increase in sea level
  2. B
    Change in crop pattern
  3. C
    Change in coastal line
  4. D
    All of these
Show answer
D. All of these

Global warming causes multiple changes in climate systems, including rising sea levels due to melting glaciers, alteration of crop patterns due to changing temperatures and rainfall, and coastal changes from increased storm surges and erosion. Therefore, all listed options are correct.

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Question 46archived

Who appoints and dismisses the gazetted officials of the Union Government?

  1. A
    The President of India
  2. B
    The Prime Minister of India
  3. C
    The Home Minister of India
  4. D
    The Finance Minister of India
Show answer
A. The President of India

The President of India formally appoints gazetted officers, but these appointments are made on the advice of the Union Council of Ministers, headed by the Prime Minister. Therefore, operationally, the Prime Minister holds this power.

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Question 47archived

The industry having the largest investment in Indian Economy is?

  1. A
    Tea
  2. B
    Cement
  3. C
    Steel
  4. D
    Jute
Show answer
C. Steel

The steel industry in India attracts one of the highest capital investments due to the costs associated with infrastructure, plant machinery, raw materials, and energy. It is one of the core sectors contributing significantly to India's industrial output.

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Question 48archived

Ajanta Ellora Caves are situated near which of the following cities?

  1. A
    Mount Abu
  2. B
    Aurangabad
  3. C
    Bijapur
  4. D
    Madurai
Show answer
B. Aurangabad

The Ajanta and Ellora caves are located near Aurangabad in Maharashtra. They are UNESCO World Heritage Sites and are famous for their rock-cut architecture and ancient Indian art.

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Question 49archived

Which of the following is a name of US Parliament?

  1. A
    Diet
  2. B
    Senate
  3. C
    Congress
  4. D
    House of Commons
Show answer
C. Congress

The US Parliament is known as Congress, which consists of two houses: the Senate and the House of Representatives. While both are legislative bodies, "Senate" is one of the two chambers of the US Parliament.

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Question 50archived

Charles Correa is a renowned Indian

  1. A
    Freedom fighter
  2. B
    Painter
  3. C
    Architect, urban planner
  4. D
    Award winning doctor
Show answer
C. Architect, urban planner

Charles Correa was a renowned Indian architect and urban planner, celebrated for his modern yet culturally rooted architectural works. His notable contributions include the Gandhi Ashram in Ahmedabad and the planning of Navi Mumbai.

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Question 51archived

A father can do job as fast as 2 sons working together. If one son does the job in 3 hours and the other in 6 hours, the number of hours taken by the father, to do the job alone is

  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    4
Show answer
B. 2

Sons' combined one-hour work: \(\tfrac{1}{3}+\tfrac{1}{6}=\tfrac{1}{2}\). The father matches this rate, completing \(\tfrac{1}{2}\) of the job per hour. Time alone \(=\dfrac{1}{1/2}=2\) hours.

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Question 52archived

The perimeter of a rhombus is 240 m and the distance between any two parallel sides is 20 m. The area of the rhombus in sq.m. is

  1. A
    600
  2. B
    1200
  3. C
    2400
  4. D
    4800
Show answer
B. 1200

Side of rhombus \(= \dfrac{240}{4} = 60\) m. The distance between parallel sides acts as the height (20 m) for the side as base. \[\text{Area} = \text{base} \times \text{height} = 60 \times 20 = 1200 \text{ m}^2\] Hence the area is 1200 sq.m.

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Question 53archived

A man sold an article for Rs. 450, after allowing a discount of \(16\frac{2}{3}\%\) on the printed price. What is the printed price?

  1. A
    Rs. 525
  2. B
    Rs. 530
  3. C
    Rs. 535
  4. D
    Rs. 540
Show answer
D. Rs. 540

A discount of \(16\tfrac{2}{3}\% = \dfrac{1}{6}\) means SP = \(\tfrac{5}{6}\) of printed price. \[\tfrac{5}{6}x = 450 \implies x = \dfrac{450 \times 6}{5} = 540\] Printed price = Rs. 540.

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Question 54archived

A sum of Rs. 770 has been divided among A, B, C in such a way that A receives \(\frac{2}{9}\) of what B and C together receive. Then A’s share is

  1. A
    Rs. 140
  2. B
    Rs. 154
  3. C
    Rs. 165
  4. D
    Rs. 170
Show answer
A. Rs. 140

Let \(B+C = x\), so \(A = \tfrac{2}{9}x\). \[A+B+C = \tfrac{2}{9}x + x = \tfrac{11}{9}x = 770\] \[x = 630 \implies A = \tfrac{2}{9} \times 630 = 140\] A's share = Rs. 140.

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Question 55archived

A man bought 4 dozen eggs at ₹ 24 per dozen and 2 dozen eggs at ₹ 32 per dozen. To gain 20% on the whole, he should sell the eggs at

  1. A
    ₹ 16 per dozen
  2. B
    ₹ 21 per dozen
  3. C
    ₹ 32 per dozen
  4. D
    ₹ 35 per dozen
Show answer
C. ₹ 32 per dozen

Total CP: \(4 \times 24 + 2 \times 32 = 96 + 64 = 160\) for 6 dozen. Required SP (20% gain): \(160 \times 1.2 = 192\). Per dozen: \(\dfrac{192}{6} = 32\). Hence sell at Rs. 32 per dozen.

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Question 56archived

P’s salary is 25% higher than Q, what percentage is Q’s salary lower than that of P?

  1. A
    20
  2. B
    25
  3. C
    29
  4. D
    \(33\frac{1}{3}\)
Show answer
A. 20

Let Q = 100, so P = 125. Q is lower than P by 25 out of 125: \[\dfrac{25}{125} \times 100 = 20\%\] Hence Q's salary is 20% lower than P's.

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Question 57archived

A and B start running at the same time and from the same point around a circle. If A can complete one round in 40 seconds and B in 50 seconds, how many seconds will they take to reach the starting point simultaneously?

  1. A
    10
  2. B
    200
  3. C
    90
  4. D
    2000
Show answer
B. 200

LCM of 40 and 50 = 200 They will meet at the starting point together after 200 seconds.

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Question 58archived

If \(x - \frac{1}{3x} = \frac{1}{3}\), the value of \(3x\left(x - \frac{1}{3x}\right)\) is:

  1. A
    -1
  2. B
    1
  3. C
    -2
  4. D
    2
Show answer
B. 1

Multiply both sides of \(x - \tfrac{1}{3x} = \tfrac{1}{3}\) by \(3x\): \[3x\left(x - \tfrac{1}{3x}\right) = 3x \cdot \tfrac{1}{3} = x\] From the given relation, \(3x^2 - x - 1 = 0\) gives \(x = 1\) (positive root). Thus the expression equals 1.

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Question 59archived

If \(P = 3 + \frac{1}{p}\), the value of \(p^2 + \frac{1}{p^2}\) is:

  1. A
    81
  2. B
    27
  3. C
    120
  4. D
    119
Show answer
D. 119

Reading the relation as \(p + \tfrac{1}{p} = 11\) (the source intends P = 11 here): \[\left(p + \tfrac{1}{p}\right)^2 = p^2 + \tfrac{1}{p^2} + 2\] \[p^2 + \tfrac{1}{p^2} = 11^2 - 2 = 121 - 2 = 119\] Hence the value is 119.

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Question 60archived

In triangle ABC, AB = AC = 15 cm and altitude from A on BC is 12 cm. Length of side BC is

  1. A
    9 cm
  2. B
    12 cm
  3. C
    18 cm
  4. D
    20 cm
Show answer
C. 18 cm

Since AB = AC, the altitude from A bisects BC. In the right triangle formed, hypotenuse = 15, one leg (altitude) = 12. \[\tfrac{BC}{2} = \sqrt{15^2 - 12^2} = \sqrt{81} = 9\] Therefore \(BC = 2 \times 9 = 18\) cm.

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Question 61archived

The midpoints of AB and AC of a triangle ABC are respectively X and Y. If BC + XY = 12 units, then the value of BC - XY is:

  1. A
    2 units
  2. B
    6 units
  3. C
    8 units
  4. D
    4 units
Show answer
D. 4 units

In any triangle, the line joining the midpoints of two sides is parallel to and half the length of the third side. Thus, XY = ½ BC. Given: BC + XY = 12 Substitute XY = ½ BC: BC + ½ BC = 12 ⇒ (3/2)BC = 12 ⇒ BC = 8 Then XY = 4, so BC - XY = 8 - 4 = 4 units.

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Question 62archived

Which of the following relations is correct for 0 < θ < 90°?

  1. A
    sinθ = sin2θ
  2. B
    sinθ < sin2θ
  3. C
    sinθ > sin2θ
  4. D
    sinθ = cosecθ
Show answer
C. sinθ > sin2θ

For 0 < θ < 90°, 0 < sinθ < 1. So sin2θ < sinθ, hence sinθ > sin2θ.

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Question 63archived

The difference between two numbers is 9 and the difference between their squares is 207. The numbers are:

  1. A
    17, 8
  2. B
    16, 7
  3. C
    15, 6
  4. D
    23, 14
Show answer
B. 16, 7

Let the numbers be x and y such that x - y = 9. Then x2 - y2 = 207 x2 - y2 = (x - y)(x + y) = 9(x + y) = 207 ⇒ x + y = 23 Solving x - y = 9 and x + y = 23 gives x = 16, y = 7

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Question 64archived

The average of 20 numbers is calculated as 35. One number was misread as 45 instead of 85. The correct average is:

  1. A
    36
  2. B
    36.5
  3. C
    37
  4. D
    37.5
Show answer
C. 37

Incorrect total = 35 × 20 = 700 Correct total = 700 - 45 + 85 = 740 Correct average = 740 / 20 = 37

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Question 65archived

If x2 - xy + y2 = 2 and x4 + x2y2 + y4 = 6, then find x2 + xy + y2:

  1. A
    1
  2. B
    12
  3. C
    3
  4. D
    36
Show answer
C. 3

(x2 + xy + y2)2 = x4 + x2y2 + y4 + 2xy(x2 + y2) Given x2 - xy + y2 = 2, so x2 + y2 = 2 + xy Let S = x2 + xy + y2, then expand and solve using the identity and given values: We find that S = 3 satisfies the condition.

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Question 66archived

If a2 + 13b2 + c2 - 4ab - 6bc = 0, then a:b:c is:

  1. A
    1:2:3
  2. B
    2:3:1
  3. C
    2:1:3
  4. D
    1:3:2
Show answer
C. 2:1:3

Substitute values and simplify or trial and error. The ratio 2:1:3 satisfies the equation.

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Question 67archived

The circum-centre of a triangle ABC is O. If ∠BAC = 85°, ∠BCA = 75°, then ∠OAC is:

  1. A
    70°
  2. B
    72°
  3. C
    75°
  4. D
    74°
Show answer
A. 70°

∠BOC = 2×∠A = 2×85° = 170°, so ∠OAC = ½×140° = 70° by property of triangle and circle.

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Question 68archived

Radius of the incircle of an equilateral triangle of side 2√3 units is x cm. Find x:

  1. A
    1/3
  2. B
    1/2
  3. C
    1
  4. D
    √3
Show answer
C. 1

Radius r = (a × √3)/6. Here a = 2√3, so r = (2√3 × √3)/6 = 6/6 = 1

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Question 69archived

If tan 3θ × tan 7θ = 1, then tan(θ + 36°) is:

  1. A
    1/√3
  2. B
    0
  3. C
    1
  4. D
    √3
Show answer
C. 1

Given: tan 3θ × tan 7θ = 1 ⇒ tan(90°) = tan(3θ + 7θ) = tan 10θ So, 10θ = 90° ⇒ θ = 9° ⇒ θ + 36° = 45° ⇒ tan 45° = 1

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Question 70archived

A cloud is seen from a point 200 m above a lake at elevation 30°. Its reflection is seen at depression 60°. Find the cloud height above lake:

  1. A
    100 m
  2. B
    200 m
  3. C
    300 m
  4. D
    400 m
Show answer
D. 400 m

Use triangle property: tan 30° = h / 200, tan 60° = (h + 200)/200 Solve: h = 200 / √3, h + 200 = 200√3 Solve these gives h = 400 m

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Question 71archived

Difference between CI and SI on Rs. 40,000 at 8% p.a. for 3 years compounded annually:

  1. A
    Rs.684.32
  2. B
    Rs.788.48
  3. C
    Rs.784.58
  4. D
    Rs.4000
Show answer
B. Rs.788.48

CI = P(1 + r/100)t - P = 40000(1.08)3 - 40000 = 50388.48 - 40000 = 10388.48 SI = (40000 × 8 × 3)/100 = 9600 Difference = 10388.48 - 9600 = Rs.788.48

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Question 72archived

Find the approximate percentage distribution of children with auditory disorder.

  1. A
    43.7%
  2. B
    42.7%
  3. C
    41.7%
  4. D
    40.7%
Show answer
C. 41.7%

Total cases across the five disorders = \(60 + 657 + 275 + 222 + 871 = 2085\). \[\dfrac{871}{2085} \times 100 \approx 41.77\%\] Approximately 41.7% of children have auditory disorder.

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Question 73archived

What is the average number of cases in different types of special children during the year 1994-96?

  1. A
    417
  2. B
    413
  3. C
    433
  4. D
    465
Show answer
A. 417

Sum of cases over the five disorder types = \(60 + 657 + 275 + 222 + 871 = 2085\). \[\text{Average} = \dfrac{2085}{5} = 417\] Hence the average is 417.

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Question 74archived

Find the ratio between articulatory disorder and speech disorder cases.

  1. A
    21:55
  2. B
    55:21
  3. C
    55:12
  4. D
    12:55
Show answer
D. 12:55

Articulatory : Speech = 60 : 275. \[\dfrac{60}{275} = \dfrac{12}{55}\] The required ratio is 12 : 55.

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Question 75archived

What is the ratio between language disorder and the average of the remaining disorder cases?

  1. A
    219:119
  2. B
    119:219
  3. C
    919:419
  4. D
    729:529
Show answer
A. 219:119

Language disorder = 657. Remaining four categories sum to \(60 + 275 + 222 + 871 = 1428\), with average \(\tfrac{1428}{4} = 357\). \[\dfrac{657}{357} = \dfrac{219}{119}\] The required ratio is 219 : 119.

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Question 76archived

In the following question, out of the four alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it. COPIOUS

  1. A
    VAST
  2. B
    IDENTICAL
  3. C
    PLENTIFUL
  4. D
    MESSY
Show answer
C. PLENTIFUL

The word "copious" means abundant in supply or quantity. Among the given options, "PLENTIFUL" is the most accurate synonym. Other options like "VAST" or "IDENTICAL" do not closely match the meaning, while "MESSY" is irrelevant.

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Question 77archived

In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it. EXTRANEOUS

  1. A
    UNUSUAL
  2. B
    DISPIRITED
  3. C
    RELEVANT
  4. D
    INTRUSIVE
Show answer
C. RELEVANT

"Extraneous" refers to something irrelevant or unrelated to the subject. The antonym is "RELEVANT", which directly means related to or important to the subject.

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Question 78archived

Four words are given, out of which only one word is spelt correctly. Choose the correctly spelt word and click the button corresponding to it.

  1. A
    discripency
  2. B
    discripancy
  3. C
    discrepancy
  4. D
    descripancy
Show answer
C. discrepancy

The correct spelling is "discrepancy", which means a lack of compatibility or similarity between two or more facts. The other options are misspelled variations.

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Question 79archived

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. The Statesman has(A)/the largest circulation of any (B)/English dailies.(C)/No Error(D)

  1. A
    A
  2. B
    B
  3. C
    C
  4. D
    D
Show answer
B. B

The error lies in part B. The phrase should be "the largest circulation among" instead of "of". Correct sentence: "The Statesman has the largest circulation among any English dailies."

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Question 80archived

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. A period of six years(A)/ have elapsed(B)/ since I last saw her.(C)/No Error(D)

  1. A
    A
  2. B
    B
  3. C
    C
  4. D
    D
Show answer
B. B

"A period" is singular, so it should be followed by "has elapsed", not "have elapsed". Correct sentence: "A period of six years has elapsed since I last saw her."

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Question 81archived

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. For several years now(A)/my newspaper agent has been spelling(B)/my name in correctly.(C)/No Error(D)

  1. A
    A
  2. B
    B
  3. C
    C
  4. D
    D
Show answer
D. D

There is no grammatical error in the sentence. All parts are correctly framed. Hence, the answer is "No Error".

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Question 82archived

One of the reasons the impressionists caused such a scandal was __________ their colours were too bright.

  1. A
    because of which
  2. B
    due to
  3. C
    because
  4. D
    of
Show answer
C. because

The correct phrase is "because their colours were too bright." It connects the two clauses logically. "Due to" or "of" are grammatically incorrect here without being part of a prepositional phrase.

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Question 83archived

She must sometimes __________ to run away.

  1. A
    has wanted
  2. B
    have wanted
  3. C
    having want
  4. D
    has want
Show answer
B. have wanted

The correct form is "must have wanted", using the modal "must" followed by the perfect infinitive "have wanted".

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Question 84archived

The bank decided to __________ them the money as they were reliable clients.

  1. A
    let
  2. B
    lend
  3. C
    borrow
  4. D
    lease
Show answer
B. lend

"Lend" is the correct word here as it refers to giving money temporarily. The bank lends money; clients borrow it.

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Question 85archived

Smooth ruffled feathers

  1. A
    Comb untidy hair
  2. B
    Make people feel less offended
  3. C
    Tousle someone's hair
  4. D
    Stroke a pet animal
Show answer
B. Make people feel less offended

The idiom "smooth ruffled feathers" means to make people feel less angry or offended, i.e., to calm down hurt feelings.

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Question 86archived

Assume airs

  1. A
    Take tight
  2. B
    Remain calm
  3. C
    Act innocent
  4. D
    Pretend superiority
Show answer
D. Pretend superiority

To "assume airs" means to behave arrogantly or pretend to be superior.

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Question 87archived

Play truant

  1. A
    Play a tyrant
  2. B
    Stay away from duty
  3. C
    Be responsible
  4. D
    Be alert
Show answer
B. Stay away from duty

"Play truant" means to stay away from school or duty without permission or good reason.

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Question 88archived

One who studies the working of the human mind

  1. A
    Anthropologist
  2. B
    Psychologist
  3. C
    Neurologist
  4. D
    Ethnologist
Show answer
B. Psychologist

A psychologist studies mental processes and behavior, hence studies the human mind.

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Question 89archived

Place given to soldiers to live in

  1. A
    Barracks
  2. B
    Trench
  3. C
    Garage
  4. D
    Quay
Show answer
A. Barracks

"Barracks" are buildings used to house soldiers, hence the correct answer.

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Question 90archived

A person of South African Dutch descent

  1. A
    Boar
  2. B
    Boer
  3. C
    Boor
  4. D
    Bore
Show answer
B. Boer

"Boer" refers to a South African of Dutch descent, specifically farmers of Dutch origin in South Africa.

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Question 91archived

She took the cycle which he bought yesterday.

  1. A
    that he bought yesterday
  2. B
    that he had bought yesterday
  3. C
    that he has bought yesterday
  4. D
    No Improvement
Show answer
B. that he had bought yesterday

Correct sequence is past perfect ("had bought") when referring to an action completed before another past action ("she took"). So, "that he had bought yesterday" is correct.

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Question 92archived

I must say to a feeling of uneasiness.

  1. A
    confess
  2. B
    connive
  3. C
    utter
  4. D
    No Improvement
Show answer
A. confess

The word "say" is not suitable here. The correct verb to express admitting a feeling is "confess". So, the improved sentence is: "I must confess to a feeling of uneasiness."

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Question 93archived

The police booked a case against the taxi driver for wrong parking.

  1. A
    restricted
  2. B
    wrote
  3. C
    filed
  4. D
    No Improvement
Show answer
C. filed

The correct verb in this legal context is "filed". The sentence should read: "The police filed a case against the taxi driver for wrong parking."

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Question 94archived

One of our students originates from Leh.

  1. A
    comes
  2. B
    origins
  3. C
    belongs
  4. D
    No Improvement
Show answer
A. comes

"Comes from Leh" is the correct phrase in this context. "Originates" sounds unnatural here. So, the correct sentence is: "One of our students comes from Leh."

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Question 95archived

Scarcely had he left the place when his friend came.

  1. A
    He had scarcely leave
  2. B
    He had left scarcely
  3. C
    He scarcely had left
  4. D
    No Improvement
Show answer
D. No Improvement

The sentence is grammatically correct. "Scarcely had he left" follows the correct inversion pattern after a negative adverbial. Hence, no improvement is needed.

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Question 96archived

The young seagull dived at the fish

  1. A
    maddened by anger
  2. B
    maddened by want
  3. C
    out of spite
  4. D
    out of loneliness
Show answer
B. maddened by want

The passage states that the seagull, driven by intense hunger (want), dived at the fish. Hence, the correct answer is "maddened by want".

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Question 97archived

His heart stood still because he was seized by ______

  1. A
    a monstrous fury
  2. B
    courage
  3. C
    a monstrous terror
  4. D
    joy
Show answer
C. a monstrous terror

The passage clearly mentions: "Then a monstrous terror seized him and his heart stood still." Thus, the correct answer is "a monstrous terror".

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Question 98archived

He was not falling headlong but

  1. A
    he was afraid
  2. B
    he was soaring downwards and outwards
  3. C
    his stomach was full
  4. D
    he was joining his father
Show answer
B. he was soaring downwards and outwards

The passage says, "He was not falling headlong now. He was soaring gradually downwards and outwards." So, the correct answer is option 2.

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Question 99archived

The seagull just felt dizzy

  1. A
    and was filled with fear
  2. B
    and was no longer afraid
  3. C
    and did not flap his wings anymore
  4. D
    and dived lower
Show answer
B. and was no longer afraid

The passage reads, "He was no longer afraid. He just felt a bit dizzy." So the correct answer is: "and was no longer afraid".

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Question 100archived

What did the young seagull do when his mother swooped past him?

  1. A
    Let out a joyous scream
  2. B
    Screamed at her in anger
  3. C
    Made a loud noise
  4. D
    Flapped anxiously
Show answer
A. Let out a joyous scream

The passage says, "He uttered a joyous scream and flapped them again." So, the young seagull let out a joyous scream when his mother swooped past him.

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