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SSC CGL 2016 · 2016-08-31 · 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: CURE : DISEASE :: HEAL : ?

  1. A
    Illness
  2. B
    Injury
  3. C
    Recover
  4. D
    Sick
Show answer
B. Injury

Just as "Cure" is related to "Disease" as a remedy, "Heal" is related to "Injury" as a process of recovery or treatment. Thus, the correct answer is "Injury".

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Question 2archived

Select the related word/letters/numbers from the given alternatives: DBCE : QOPR :: JLKI : ?

  1. A
    YWXU
  2. B
    WYXV
  3. C
    WXYV
  4. D
    WYVX
Show answer
B. WYXV

The pattern involves a specific shifting of letters in the alphabet. The correct relationship and pattern lead to "WYXV" as the correct answer.

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Question 3archived

Select the related word/letters/numbers from the given alternatives: 6 : 42 :: 12 : ?

  1. A
    48
  2. B
    72
  3. C
    60
  4. D
    84
Show answer
D. 84

In this number series, each number is multiplied by 7 to produce the result. Hence, 12 * 7 = 84. Therefore, the correct answer is "84".

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Question 4archived

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

  1. A
    High-Up
  2. B
    Past-Present
  3. C
    Often-Seldom
  4. D
    Fresh-Stale
Show answer
A. High-Up

High-Up does not follow the same oppositional relationship as the other pairs, where each pair consists of opposites. Thus, the odd one out is "High-Up".

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Question 5archived

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

  1. A
    AOU
  2. B
    EOI
  3. C
    UIE
  4. D
    ALO
Show answer
D. ALO

The odd one out is "ALO" because it does not follow the pattern of alternating vowels and consonants like the other options. Therefore, the correct answer is "ALO".

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Question 6archived

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

  1. A
    13
  2. B
    17
  3. C
    29
  4. D
    87
Show answer
D. 87

87 is the odd one out because it is the only number that is not a prime number. The other numbers (13, 17, 29) are prime numbers. Thus, the correct answer is "87".

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Question 7archived

Arrange the following words as per order in the dictionary and choose the one that comes first: 1. Temple 2. Tenant 3. Terminate 4. Temperature

  1. A
    Temple
  2. B
    Tenant
  3. C
    Terminate
  4. D
    Temperature
Show answer
D. Temperature

Arranging the words alphabetically, "Temperature" comes first. Thus, the correct answer is "Temperature".

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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. NOM, QRP, TUS, ?

  1. A
    WAX
  2. B
    HUT
  3. C
    WXV
  4. D
    HTU
Show answer
C. WXV

The series involves a specific pattern in the shifting of letters. The next term in the series is "WXV". Therefore, the correct answer is "WXV".

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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. 1,3,7,13,21,?

  1. A
    27
  2. B
    29
  3. C
    31
  4. D
    33
Show answer
C. 31

The pattern in this series involves adding consecutive odd numbers: +2, +4, +6, +8, etc. Thus, 21 + 10 = 31. Therefore, the correct answer is "31".

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Question 10archived

If it is Saturday on 27th September, what day will it be on 27th October of the same year?

  1. A
    Thursday
  2. B
    Sunday
  3. C
    Friday
  4. D
    Monday
Show answer
D. Monday

From Saturday, 27th September, 27th October will be a Monday after exactly 30 days (since September has 30 days in total). Thus, the correct answer is "Monday".

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Question 11archived

The ratio of the ages of man and his wife is 4:3. After 4 years, the ratio will be 9:7. If at the time of marriage, the ratio was 5:3, how many years ago were they married?

  1. A
    12
  2. B
    24
  3. C
    5
  4. D
    8
Show answer
A. 12

Using algebra, let the man's age be 4x and the wife's age be 3x. After 4 years, the ratio becomes 9:7, so we can form the equation and solve for x. Based on the solution, the correct answer is "12" years ago. Hence, the correct answer is "12".

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Question 12archived

From the given words, select the word which cannot be formed using the letters of the given word. ALTERNATIVES

  1. A
    ALTER
  2. B
    NATIVE
  3. C
    TEN
  4. D
    NATIONAL
Show answer
D. NATIONAL

The word "NATIONAL" cannot be formed using the letters of the word "ALTER". Hence, the correct answer is "NATIONAL".

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Question 13archived

If code P is denoted by 7, X by 9, M by 5, Z by 8, L by 2, T by 1, then ZLTPXM will be

  1. A
    812851
  2. B
    821591
  3. C
    812715
  4. D
    821795
Show answer
D. 821795

Using the given code system, we can substitute the values for each letter to form the number. Therefore, ZLTPXM becomes 821795. Hence, the correct answer is "821795".

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Question 14archived

If 24x2=84, and 32x3=69, then 13x3 = ?

  1. A
    38
  2. B
    93
  3. C
    16
  4. D
    10
Show answer
B. 93

The pattern involves multiplying the number on the left by the multiplier on the right. In the case of 13x3, 13 multiplied by 3 equals 39, and considering the pattern of subtraction, we get 16 as the result. Therefore, the correct answer is "93".

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Question 15archived

If + means division, - means multiplication, 'x' means addition, and < means less than, then which of the following is false?

  1. A
    (10+2)÷7 < (10÷7)+2
  2. B
    (10-7)x2 < (10x2)-7
  3. C
    (10x7)-2 < (10-2)x7
  4. D
    (10÷2)+7 < (10+7)x2
Show answer
C. (10x7)-2 < (10-2)x7

In the given problem, when we use the operators as described, the equation in option 3 does not hold true. Hence, the correct answer is "(10-7)x2 = (10-2)x7".

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Question 16archived

Select the missing number from the given responses:

Question figure
  1. A
    1
  2. B
    4
  3. C
    9
  4. D
    25
Show answer
D. 25

The pattern involves perfect squares. 4, 9, 16 are squares of 2, 3, and 4, respectively. The next number in the series is 25, which is the square of 5. Therefore, the correct answer is "25".

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Question 17archived

Ram went 20 meters to the north then turned towards east and walked another 5 meters, then he turned towards right and covered 20 meters. How far is he from the starting point?

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

Ram first moves 20 meters north, then 5 meters east, and then 20 meters to the right (south). After the 20 meters south, Ram is 5 meters away from the starting point. Hence, the correct answer is "5 m".

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Question 18archived

One or two statements are given followed by two or more conclusions/assumptions, I, II, III, IV. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Statement: 1. All goats are tigers. 2. All tigers are lions. Conclusion: I. All tigers are goats. II. All lions are tigers. III. No goat is a lion. IV. No lion is a goat.

  1. A
    Only Conclusion III & IV follow
  2. B
    Only Conclusion I & II follow
  3. C
    None of the Conclusions follows
  4. D
    All Conclusions follow
Show answer
C. None of the Conclusions follows

Since the given statements contradict common knowledge (as all goats are not tigers), none of the conclusions can be drawn. Therefore, the correct answer is "None of the Conclusions follows".

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Question 19archived

In the question figure how many squares are there in all? Select from the given alternatives.

Question figure
  1. A
    12
  2. B
    14
  3. C
    10
  4. D
    11
Show answer
B. 14

The figure contains 14 squares in total. This includes the smaller squares as well as the larger ones formed by combining smaller squares. Thus, the correct answer is "14".

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Question 20archived

In the following figure, triangle represents teachers, square represents merchants and circle represents social workers. Which number space represents Teachers who are social workers?

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

The number "2" in the overlap between the triangle (teachers) and the circle (social workers) represents teachers who are also social workers. Hence, the correct answer is "2".

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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
A. Option A (shown in image)

The pattern involves circles being divided into two parts with alternating black and white sections. The correct answer is the option that continues this pattern. Therefore, the correct answer is "Option 1".

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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
D. Option D (shown in image)

The correct answer is the figure in which the given shape is hidden or embedded in the other figure. Upon inspecting the options, the correct answer is "Option 4".

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Question 23archived

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, 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)

Based on the fold and cut pattern shown in the question, the correct unfolded shape will match "Option 4".

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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
A. Option A (shown in image)

When the mirror is placed along the line MN, the reflection of the figure should match "Option 1". This is the accurate reflection of the given figure in the mirror.

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Question 25archived

In this question, the sets of numbers given in the alternatives are represented. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., D can be represented by (02, 10), etc. and 'R' can be represented by 55, 67 and so on. Similarly, you have to identify the set for the word 'BEAR'.

Question figure
  1. A
    24, 40, 23, 67
  2. B
    31, 12, 23, 79
  3. C
    32, 44, 42, 79
  4. D
    24, 40, 23, 67
Show answer
D. 24, 40, 23, 67

The given matrices are used to find the correct set for the word "BEAR". By identifying the positions of the letters 'B', 'E', 'A', and 'R', the correct set of numbers corresponding to "BEAR" is 24, 40, 23, and 67. Thus, the correct answer is "24, 40, 23, 67".

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Question 26archived

Money market is a market for ______________

  1. A
    Short term fund
  2. B
    Long term fund
  3. C
    Negotiable instruments
  4. D
    Sale of shares
Show answer
A. Short term fund

The money market is a segment of the financial market where short-term borrowing and lending occurs. It deals with instruments that have short-term maturity, typically under one year, such as Treasury bills, commercial paper, and certificates of deposit. Therefore, the correct answer is "Short term fund".

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Question 27archived

India shares longest international boundary with which country?

  1. A
    Bangladesh
  2. B
    China
  3. C
    Nepal
  4. D
    Bhutan
Show answer
A. Bangladesh

India shares the longest international boundary with Bangladesh. This border stretches over 4,096 kilometers, making it the longest boundary that India shares with any other country. Hence, the correct answer is "Bangladesh".

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Question 28archived

The Residuary powers of legislation under Indian Constitution rests with

  1. A
    President
  2. B
    Prime Minister
  3. C
    Parliament
  4. D
    States
Show answer
C. Parliament

The residuary powers of legislation under the Indian Constitution rest with the Parliament. These powers enable Parliament to make laws on matters not enumerated in the Union or State Lists. This is specified under Article 248 of the Indian Constitution. Thus, the correct answer is "Parliament".

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Question 29archived

Appointments for all India Services are made by

  1. A
    UPSC
  2. B
    President
  3. C
    Prime Minister
  4. D
    Parliament
Show answer
B. President

Appointments for all India Services such as the Indian Administrative Service (IAS), Indian Police Service (IPS), and Indian Forest Service (IFS) are made by the President of India. This is done on the recommendation of the Union Public Service Commission (UPSC). Thus, the correct answer is "President".

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Question 30archived

The people of the Indus valley civilisation worshipped ________________.

  1. A
    Vishnu
  2. B
    Pashupati
  3. C
    Indra
  4. D
    Brahma
Show answer
B. Pashupati

The people of the Indus Valley Civilisation are believed to have worshipped Pashupati, a form of Lord Shiva, as evidenced by the seals discovered during archaeological excavations. The "Pashupati seal" depicts a figure seated in a yogic posture surrounded by animals, symbolizing the worship of a fertility deity. Therefore, the correct answer is "Pashupati".

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Question 31archived

The Upanishads are the ________________________.

  1. A
    Great Epics
  2. B
    Story Books
  3. C
    Source of Hindu Philosophy
  4. D
    Law Books
Show answer
C. Source of Hindu Philosophy

The Upanishads are a collection of ancient Hindu texts that form the basis of Hindu philosophy. They discuss various metaphysical concepts and spiritual ideas, including the nature of the soul, the universe, and ultimate reality. Therefore, the correct answer is "Source of Hindu Philosophy".

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Question 32archived

Tsangpo is the other name in Tibet for _______________.

  1. A
    Kosi
  2. B
    Gandak
  3. C
    Brahmaputra
  4. D
    Ganga
Show answer
C. Brahmaputra

Tsangpo is the name used for the Brahmaputra River in Tibet. The river flows from Tibet into India and Bangladesh, and it is one of the major rivers in Asia. The correct answer is "Brahmaputra".

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Question 33archived

The largest herbarium of India is located at

  1. A
    Kolkata
  2. B
    Lucknow
  3. C
    Mumbai
  4. D
    Coimbatore
Show answer
A. Kolkata

The largest herbarium in India is located at the Indian Botanical Garden in Kolkata. The herbarium houses over a million plant specimens, making it one of the largest collections of its kind. Thus, the correct answer is "Kolkata".

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Question 34archived

Temperature of distant luminous bodies can be determined by

  1. A
    Mercury thermometers
  2. B
    Gas thermometers
  3. C
    Pyrometers
  4. D
    Colour thermometers
Show answer
C. Pyrometers

The temperature of distant luminous bodies, such as stars and galaxies, can be measured using pyrometers. Pyrometers are devices that measure the temperature of very hot objects by detecting their radiation. Thus, the correct answer is "Pyrometers".

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Question 35archived

In IT terminology failure in the kernel is called as

  1. A
    crash
  2. B
    crash dump
  3. C
    dump
  4. D
    Kernel error
Show answer
A. crash

In IT terminology, a failure in the kernel is often referred to as a "crash". The kernel is the core component of an operating system, and when it fails, it can cause the system to crash. A crash dump, on the other hand, is a record of the system's state at the time of the crash. Therefore, the correct answer is "crash".

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Question 36archived

Which of the following institutions was not founded by Mahatma Gandhi?

  1. A
    Sabarmati Ashram
  2. B
    Sevagram Ashram
  3. C
    Vishva Bharti
  4. D
    Phoenix Ashram
Show answer
C. Vishva Bharti

Vishva Bharti was founded by Rabindranath Tagore, not Mahatma Gandhi. It is an international university located in Shantiniketan, West Bengal. On the other hand, Sabarmati Ashram, Sevagram Ashram, and Phoenix Ashram were all institutions associated with Mahatma Gandhi's work. Therefore, the correct answer is "Vishva Bharti".

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Question 37archived

Which of the following State has become India's first carbon free State?

  1. A
    Himachal Pradesh
  2. B
    Madhya Pradesh
  3. C
    Uttar Pradesh
  4. D
    Maharashtra
Show answer
A. Himachal Pradesh

Himachal Pradesh became India's first carbon-free state by achieving the target of zero carbon emissions. The state's focus on renewable energy, especially hydroelectric power, has significantly contributed to this achievement. Thus, the correct answer is "Himachal Pradesh".

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Question 38archived

Energy travels from Sun to Earth through

  1. A
    conduction
  2. B
    convection
  3. C
    radiation
  4. D
    modulation
Show answer
C. radiation

Energy from the Sun travels to the Earth through radiation. Unlike conduction and convection, radiation does not require a medium and can travel through the vacuum of space. Therefore, the correct answer is "radiation".

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Question 39archived

C.K. Naidu Cup is associated with which of the following sporting events?

  1. A
    Tennis
  2. B
    Cricket
  3. C
    Hockey
  4. D
    Golf
Show answer
B. Cricket

The C.K. Naidu Cup is associated with Cricket. It is an important domestic cricket tournament in India, named after the famous cricketer C.K. Naidu. Therefore, the correct answer is "Cricket".

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Question 40archived

Pump priming should be resorted to at a time of?

  1. A
    Inflation
  2. B
    Deflation
  3. C
    Stagnation
  4. D
    Reflation
Show answer
B. Deflation

Pump priming refers to the government increasing its expenditure to stimulate the economy during times of deflation or economic stagnation. It involves injecting money into the economy to increase demand and create economic growth. Thus, the correct answer is "Deflation".

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Question 41archived

Which is the highest award for gallantry during peacetime?

  1. A
    Vir Chakra
  2. B
    Param Vir Chakra
  3. C
    Ashok Chakra
  4. D
    Mahavir Chakra
Show answer
C. Ashok Chakra

The Ashok Chakra is the highest gallantry award in India during peacetime. It is awarded for the most conspicuous bravery or some act of daring or pre-eminent act of valor in situations other than war. Thus, the correct answer is "Ashok Chakra".

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Question 42archived

At Barren Island, the only active volcano in India is situated in

  1. A
    Andaman Islands
  2. B
    Nicobar Islands
  3. C
    Lakshadweep
  4. D
    Minicoy
Show answer
B. Nicobar Islands

Barren Island, located in the Andaman Sea, is the only active volcano in India. It is part of the Andaman and Nicobar Islands. The island has seen periodic volcanic eruptions and is considered an active geological site. Thus, the correct answer is "Nicobar Islands".

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Question 43archived

The transfer of minerals from top soil to subsoil through soil-water is called?

  1. A
    Percolation
  2. B
    Conduction
  3. C
    Leaching
  4. D
    Transpiration
Show answer
C. Leaching

The transfer of minerals from the topsoil to the subsoil through soil-water is called leaching. It occurs when rainwater dissolves minerals in the soil and carries them deeper into the ground. Thus, the correct answer is "Leaching".

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Question 44archived

Heat is transmitted from higher temperature to lower temperature through the actual motion of the molecules in

  1. A
    Conduction
  2. B
    Convection
  3. C
    Radiation
  4. D
    Both conduction and convection
Show answer
B. Convection

Heat is transferred from areas of higher temperature to areas of lower temperature by the actual motion of molecules through convection. Convection occurs in fluids (liquids and gases) where warmer particles move to cooler areas and vice versa. Thus, the correct answer is "Convection".

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Question 45archived

Polio is caused by

  1. A
    Bacteria
  2. B
    Virus
  3. C
    Fungus
  4. D
    Protozoa
Show answer
B. Virus

Polio is caused by a virus, specifically the poliovirus. It affects the nervous system and can lead to paralysis, particularly in children. Vaccination is the primary method of prevention. Therefore, the correct answer is "Virus".

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Question 46archived

Which country is in the process of building the largest single Aperture Radio Telescope - FAST?

  1. A
    Japan
  2. B
    China
  3. C
    USA
  4. D
    Russia
Show answer
B. China

China is in the process of building the world's largest single-aperture radio telescope known as the FAST (Five-hundred-meter Aperture Spherical Radio Telescope). It is located in Guizhou Province, China. Thus, the correct answer is "China".

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Question 47archived

The Kovada Nuclear Park project is proposed to be setup in which State?

  1. A
    Rajasthan
  2. B
    Uttar Pradesh
  3. C
    Andhra Pradesh
  4. D
    Karnataka
Show answer
C. Andhra Pradesh

The Kovada Nuclear Park project is proposed to be set up in Andhra Pradesh. This project will include the establishment of a nuclear power plant to meet the increasing demand for electricity. Thus, the correct answer is "Andhra Pradesh".

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Question 48archived

Fixed Foreign Exchange Rate can be changed by

  1. A
    RBI
  2. B
    SEBI
  3. C
    Ministry of Finance
  4. D
    FIPB
Show answer
A. RBI

The Reserve Bank of India (RBI) has the authority to change the fixed foreign exchange rate in India. The RBI controls the foreign exchange market and stabilizes the currency by taking appropriate measures when necessary. Thus, the correct answer is "RBI".

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Question 49archived

In bio fortification technique plant breeders use breeding to overcome

  1. A
    Loss due to insect pests
  2. B
    Decrease in food production
  3. C
    Deficiencies of micronutrients and vitamins
  4. D
    Loss due to plant diseases
Show answer
C. Deficiencies of micronutrients and vitamins

In bio fortification, plant breeders use breeding techniques to enhance the nutrient content of crops, particularly to overcome deficiencies of micronutrients and vitamins. This helps in combating malnutrition. Thus, the correct answer is "Deficiencies of micronutrients and vitamins".

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Question 50archived

Which Institution has the final authority to interpret the Constitution of India?

  1. A
    Parliament
  2. B
    Supreme Court of India
  3. C
    President
  4. D
    Attorney General of India
Show answer
B. Supreme Court of India

The Supreme Court of India has the final authority to interpret the Constitution of India. It is the highest judicial body in the country and can make binding decisions on constitutional matters. Thus, the correct answer is "Supreme Court of India".

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Question 51archived

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

  1. A
    4 days
  2. B
    6 days
  3. C
    8 days
  4. D
    12 days
Show answer
D. 12 days

Since A does three times the work of B, together they can complete the work in 9 days. Hence, if A works alone, it will take 12 days to finish the work. Thus, the correct answer is "12 days".

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Question 52archived

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

  1. A
    2:3
  2. B
    3:2
  3. C
    9:4
  4. D
    4:9
Show answer
D. 4:9

The formula for the volume of a cylinder is given by V = πr²h. Since the volumes are equal, we can equate the volumes and solve for the ratio of heights. Given that the diameters are in the ratio 3:2, the ratio of their heights will be 4:9. Thus, the correct answer is "4:9".

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Question 53archived

A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

  1. A
    Rs.1200
  2. B
    Rs.1205
  3. C
    Rs.1250
  4. D
    Rs.1275
Show answer
C. Rs.1250

Let the cost price of the cycle be 'x'. According to the given conditions, we can set up the equation for the loss and the gain, solving for 'x' gives the cost price as Rs. 1250. Thus, the correct answer is "Rs. 1250".

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Question 54archived

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

  1. A
    36
  2. B
    60
  3. C
    40
  4. D
    50
Show answer
B. 60

The percentage of illiterate poor population is given by multiplying the percentage of poor people by the percentage of illiterate people among the poor. Hence, the correct answer is "60".

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Question 55archived

In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar?

  1. A
    7.0 sec
  2. B
    72 sec
  3. C
    7.2 sec
  4. D
    70 sec
Show answer
C. 7.2 sec

The time taken to cross the pillar is calculated by dividing the length of the train by its speed. The formula is Time = Distance / Speed. Thus, the time is 7.2 seconds. The correct answer is "7.2 sec".

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Question 56archived

If 2p / p² - 2p + 1 = 1/4, then the value of p + 1/p will be

  1. A
    8
  2. B
    10
  3. C
    12
  4. D
    None of these
Show answer
C. 12

We solve the equation step-by-step, simplify and find the value of p + 1/p, which is 10. Thus, the correct answer is "10".

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Question 57archived

If l + m + n = 9 and l² + m² + n² = 31, then the value of im + mn + nl will be

  1. A
    22
  2. B
    50
  3. C
    25
  4. D
    -25
Show answer
C. 25

Using the given equations, we can substitute values for the variables and solve for im + mn + nl. The value will be 25. Therefore, the correct answer is "25".

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Question 58archived

The centroid of a triangle is the point where

  1. A
    the medians meet
  2. B
    the altitudes meet
  3. C
    the right bisectors of the sides of the triangle meet
  4. D
    the bisectors of the angles of the triangle meet
Show answer
A. the medians meet

The centroid of a triangle is the point where the medians of the triangle meet. Hence, the correct answer is "the medians meet".

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Question 59archived

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is:

  1. A
    38°
  2. B
    32°
  3. C
    25°
  4. D
    29°
Show answer
A. 38°

Using the properties of angles in a triangle, we can find the value of ∠PQR. The correct answer is "38°".

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Question 60archived

In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm², then AB is

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

Using the formula for the area of a trapezium, we can calculate the value of AB, which is 20 cm. Therefore, the correct answer is "20 cm".

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Question 61archived

If tanθ + cotθ = 5, then the value of tan²θ + cot²θ is

  1. A
    22
  2. B
    25
  3. C
    23
  4. D
    27
Show answer
C. 23

We use the identity tan²θ + cot²θ = (tanθ + cotθ)² - 2 to find the value. The correct answer is "23".

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Question 62archived

When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

  1. A
    6
  2. B
    7
  3. C
    5
  4. D
    3
Show answer
C. 5

The number leaves a remainder of 29 when divided by 56. When we subtract 29 from 56, we get 27, and when 27 is divided by 8, the remainder is 5. Therefore, the correct answer is "5".

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Question 63archived

If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%, then his marked price is

  1. A
    Rs.156.25
  2. B
    Rs.146.25
  3. C
    Rs.166.25
  4. D
    Rs.150.25
Show answer
A. Rs.156.25

Let the cost price be Rs. 100. To get a 25% profit, the selling price would be Rs. 125. After allowing a 20% discount, the marked price would be Rs. 156.25. Thus, the correct answer is "Rs. 156.25".

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Question 64archived

The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is

  1. A
    70
  2. B
    71
  3. C
    72
  4. D
    73
Show answer
C. 72

The total marks should be corrected by replacing the wrong marks, and the new average is calculated by dividing the corrected total marks by 17. The correct average is "72".

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Question 65archived

The simple interest on a sum for 5 years is two-fifth of the sum. The rate of interest per annum is

  1. A
    0.1
  2. B
    0.08
  3. C
    0.06
  4. D
    0.04
Show answer
B. 0.08

The formula for simple interest is SI = (P × R × T) / 100. Given that the simple interest is two-fifth of the sum, we calculate the rate of interest as 0.08. Thus, the correct answer is "0.08".

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Question 66archived

If (x + 1/x)² = 3, then the value of x³ + 1/x³ is

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

From the equation (x + 1/x)² = 3, we can solve for x³ + 1/x³ using algebraic identities. The value of x³ + 1/x³ is 0. Hence, the correct answer is "0".

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Question 67archived

If a - b = 3 and a² + b² = 25, then the value of ab is

  1. A
    16
  2. B
    8
  3. C
    10
  4. D
    15
Show answer
B. 8

We can use the identity (a - b)² = a² - 2ab + b² and solve for ab. The value of ab is 8. Therefore, the correct answer is "8".

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Question 68archived

In △ABC, ∠B = 70° and ∠C = 60°. The internal bisectors of the two smallest angles of △ABC meet at O. The angle so formed at O is

  1. A
    125°
  2. B
    120°
  3. C
    115°
  4. D
    110°
Show answer
A. 125°

Using the properties of angle bisectors, we find that the angle formed at O is 125°. Thus, the correct answer is "125°".

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Question 69archived

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

  1. A
    12/13
  2. B
    5/13
  3. C
    5/12
  4. D
    1/5
Show answer
B. 5/13

By solving the given equation for cosθ, we find the value of cosθ to be 5/13. Therefore, the correct answer is "5/13".

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Question 70archived

A cylindrical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?

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

We use the formula for the volume of a cylinder and a cone to equate the volumes, then solve for the radius of the conical heap. The radius of the conical heap is 36 cm. Hence, the correct answer is "36 cm".

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Question 71archived

The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is

  1. A
    10 m
  2. B
    10√3 m
  3. C
    60 m
  4. D
    30 m
Show answer
D. 30 m

We can use trigonometry to solve this problem using the given angles of elevation and the height of the building. The height of the pillar is found to be 30 m. Thus, the correct answer is "30 m".

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Question 72archived

If the total number is 35000, then the difference between the numbers of literate male and literate female is

  1. A
    3500
  2. B
    3700
  3. C
    400
  4. D
    4500
Show answer
A. 3500

From the pie chart, the number of literate males is 45% and the number of literate females is 35%. The total number is 35000, so the difference between literate males and literate females is 3500.

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Question 73archived

The difference of central angles corresponding to illiterate male and illiterate female is

  1. A
    12.2°
  2. B
    13.4°
  3. C
    11.2°
  4. D
    14.4°
Show answer
D. 14.4°

The central angle corresponding to illiterate male is 8% of 360° and that for illiterate female is 12% of 360°. The difference of these angles is 14.4°.

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Question 74archived

If the difference between the two categories of people are represented by 36° in the diagram then these categories are

  1. A
    Literate male and literate female
  2. B
    Literate male and illiterate male
  3. C
    Illiterate male and literate female
  4. D
    Illiterate male and illiterate female
Show answer
A. Literate male and literate female

The difference of 36° corresponds to the difference between literate male (45%) and literate female (35%), which is 36°.

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Question 75archived

If two categories together have a central angle of 169.2°, then these categories are

  1. A
    Literate female and illiterate female
  2. B
    Literate male and illiterate female
  3. C
    Illiterate male and illiterate female
  4. D
    Illiterate male and literate female
Show answer
A. Literate female and illiterate female

The two categories that together form an angle of 169.2° are literate female (35%) and illiterate female (12%), which total 169.2°.

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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. CONSTRAIN

  1. A
    STRESS
  2. B
    CONTRADICT
  3. C
    RESTRICT
  4. D
    OBSTRUCT
Show answer
C. RESTRICT

The correct meaning of "CONSTRAIN" is "RESTRICT".

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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. NONCONFORMIST

  1. A
    CONVENTIONAL
  2. B
    PRACTICAL
  3. C
    FASHIONABLE
  4. D
    NOMAD
Show answer
A. CONVENTIONAL

The opposite of "NONCONFORMIST" is "CONVENTIONAL".

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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
    Erroneous
  2. B
    Eronneous
  3. C
    Erronous
  4. D
    Eroneous
Show answer
A. Erroneous

The correctly spelt word is "Erroneous".

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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. If the sentence is free from error, click the "No error" option. Although I have never seen the girl before, (A) I recognized her at once (B) from her photograph (C) no error (D)

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

There is an error in part A. The correct sentence would be "Although I had never seen the girl before, I recognized her at once from her photograph."

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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. If the sentence is free from error, click the "No error" option. There was a (A) comparison between (B) you and he (C) no error (D)

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

The error is in part C. The correct phrase is "There was a comparison between you and him" (object case).

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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. If the sentence is free from error, click the "No error" option. He flowed into a rage (A) at the very (B) sight of that man (C) No error (D)

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

There is an error in part A. The correct phrase is "He flew into a rage at the very sight of that man".

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Question 82archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it. He is ________ connected.

  1. A
    respectively
  2. B
    respective
  3. C
    respectably
  4. D
    respectable
Show answer
C. respectably

The correct word to fill in the blank is "respectably". The phrase is "He is respectably connected".

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Question 83archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it. After retirement Surti lived ________ Australia.

  1. A
    in
  2. B
    at
  3. C
    over in
  4. D
    over at
Show answer
A. in

The correct preposition is "in". The correct sentence is "After retirement Surti lived in Australia".

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Question 84archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it. He ________ the low pay.

  1. A
    moan at
  2. B
    complain about
  3. C
    grumbled at
  4. D
    ran after
Show answer
C. grumbled at

The correct phrase is "He grumbled at the low pay".

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Question 85archived

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it. Pros and Cons

  1. A
    Professionals
  2. B
    Con artists
  3. C
    Professionals and con artists
  4. D
    Advantages and disadvantages
Show answer
D. Advantages and disadvantages

The phrase "Pros and Cons" means "Advantages and disadvantages".

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Question 86archived

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it. Once in a blue moon

  1. A
    Very rarely
  2. B
    Common
  3. C
    Predictable
  4. D
    Ordinary
Show answer
A. Very rarely

The phrase "Once in a blue moon" means "Very rarely".

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Question 87archived

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it. Fish out of water

  1. A
    Dehydrated
  2. B
    Comfortable position
  3. C
    An uncomfortable position
  4. D
    Fish in an aquarium
Show answer
C. An uncomfortable position

The phrase "Fish out of water" means "An uncomfortable position".

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Question 88archived

Of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it. A remedy for all diseases

  1. A
    Antiseptic
  2. B
    Antibiotic
  3. C
    Narcotics
  4. D
    Panacea
Show answer
D. Panacea

The correct word for "A remedy for all diseases" is "Panacea".

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Question 89archived

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it. Of the highest quality

  1. A
    Productive
  2. B
    Reactive
  3. C
    Superlative
  4. D
    Relative
Show answer
C. Superlative

The correct substitution for "Of the highest quality" is "Superlative".

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Question 90archived

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it. A place of shelter for ships

  1. A
    Harbour
  2. B
    Helipad
  3. C
    Port
  4. D
    Barrack
Show answer
A. Harbour

The correct substitution for "A place of shelter for ships" is "Harbour".

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Question 91archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". His wife is as tall if not taller than him.

  1. A
    as tall as, if not
  2. B
    as taller if not
  3. C
    not as tall but as
  4. D
    No improvement
Show answer
A. as tall as, if not

The correct phrase is "as tall as, if not".

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Question 92archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". He is a fast bowler of repute, but his yesterday's performance was not up to the mark.

  1. A
    performance for yesterday
  2. B
    yesterday performance
  3. C
    performances for yesterday
  4. D
    No improvement
Show answer
D. No improvement

The sentence is correct as it is, no improvement is needed.

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Question 93archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". Owing to his respiratory problems the doctor has told him to refrain from smoking.

  1. A
    to not refrain from
  2. B
    to refrain to
  3. C
    to refrain not from
  4. D
    No improvement
Show answer
D. No improvement

The sentence is correct as it is, no improvement is needed.

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Question 94archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". He is suffering from fever for a week.

  1. A
    was suffering
  2. B
    had suffering
  3. C
    has been suffering
  4. D
    No improvement
Show answer
C. has been suffering

The correct phrase is "has been suffering" to indicate ongoing action over time.

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Question 95archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". None knows how it was happened.

  1. A
    happen
  2. B
    has happened
  3. C
    happened
  4. D
    No improvement
Show answer
C. happened

The correct sentence is "None knows how it happened." "Was" is incorrect here.

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Question 96archived

What had the writer given up hope?

  1. A
    To be able to withstand this snowstorm
  2. B
    To be able to fight her way against the wind
  3. C
    That the snowstorm would improve
  4. D
    To find shelter from the wind
Show answer
D. To find shelter from the wind

The writer had given up hope of finding shelter from the wind.

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Question 97archived

What did the two friends find while searching for shelter?

  1. A
    A haunted hut
  2. B
    A deserted hut
  3. C
    A very old hut
  4. D
    A very small hut
Show answer
B. A deserted hut

The writer found a deserted hut while searching for shelter.

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Question 98archived

Why did the writer step cautiously inside the cabin?

  1. A
    Because she was feeling so cold that her legs had become numb
  2. B
    Because she could not see clearly in the dark
  3. C
    Because the wind made it difficult for her to enter quickly
  4. D
    Because the cabin was very dusty
Show answer
B. Because she could not see clearly in the dark

The writer stepped cautiously because she could not see clearly in the dark.

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Question 99archived

What did Jane find?

  1. A
    A necklace made of gold
  2. B
    A necklace made of red ruby
  3. C
    A red-coloured necklace
  4. D
    A golden necklace with a pendant on it
Show answer
D. A golden necklace with a pendant on it

Jane found a necklace made of gold with a pendant on it.

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Question 100archived

What was the strange thing about the necklace?

  1. A
    It was made of marble
  2. B
    It was pink in colour
  3. C
    There was no dust in it
  4. D
    There was a picture on the pendant
Show answer
C. There was no dust in it

The strange thing about the necklace was that there was no dust on it.

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