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SSC CGL 2017 · 2017-08-06 · Shift 3

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

100 question cards · 1 paper · No sign-in needed
Question 1archived

Select the related word from the given alternatives. Lips : Smile :: Eyes : ?

  1. A
    Black
  2. B
    Wink
  3. C
    Two
  4. D
    Spectacles
Show answer
B. Wink

The relationship between "Lips" and "Smile" is based on something associated with lips. Similarly, "Eyes" are often associated with a "Wink," making "Wink" the correct answer.

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Question 2archived

Select the related letters from the given alternatives. EHJ : KNP :: SVX : ?

  1. A
    XYZ
  2. B
    YBD
  3. C
    BDF
  4. D
    ZBD
Show answer
B. YBD

The letter relationships in the first pair are: E → K (+6), H → N (+6), J → P (+6). Applying the same pattern to the second pair: S → Y (+6), V → B (+6), X → D (+6). Hence, the answer is YBD.

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Question 3archived

Select the related number from the given alternatives. 357 : 714 :: 468 : ?

  1. A
    579
  2. B
    417
  3. C
    864
  4. D
    936
Show answer
D. 936

In this pattern, each number in the first pair is multiplied by 2. Similarly, 468 × 2 = 936, so the correct answer is 936.

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Question 4archived

Select the odd word from the given alternatives.

  1. A
    Almond
  2. B
    Dates
  3. C
    Walnut
  4. D
    Cashew
Show answer
B. Dates

The odd word in the sequence is "Dates" because the other items (Almond, Walnut, and Cashew) are all nuts, whereas Dates are fruits. Therefore, the correct answer is Cashew.

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Question 5archived

Select the odd letters from the given alternatives.

  1. A
    XWV
  2. B
    RQP
  3. C
    HFE
  4. D
    MLK
Show answer
C. HFE

The sequence of letters in options 1, 2, and 4 follows a pattern of consecutive alphabets in reverse order. However, in "HFE," the letters do not follow the same reverse alphabetical order, making it the odd one out.

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Question 6archived

Select the odd number from the given alternatives.

  1. A
    23
  2. B
    29
  3. C
    37
  4. D
    33
Show answer
D. 33

The number 33 is the only odd number in the list, as the others (23, 29, 37) are prime numbers, while 33 is divisible by 3 and 11.

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Question 7archived

A series is given, with one word missing. Choose the correct alternative from the given ones that will complete the series. Queen, Aqua, Pique, Torque, Antique, ?

  1. A
    Squad
  2. B
    Quadrilateral
  3. C
    Prerequisite
  4. D
    Queue
Show answer
C. Prerequisite

The words follow a pattern of related terms where "Prerequisite" logically fits as it is associated with the other items, which involve sequential progression in thought.

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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. F, I, M, P, T ?

  1. A
    W
  2. B
    X
  3. C
    Y
  4. D
    Z
Show answer
A. W

The pattern follows a sequence where each letter is separated by a consistent number of places in the alphabet. The next letter in the series is "W".

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Question 9archived

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 72, 65.7, ?, 53.1, 46.8

  1. A
    59.4
  2. B
    60.4
  3. C
    59.3
  4. D
    60.3
Show answer
A. 59.4

To solve this sequence, subtract 6.3 from each term. 72 - 6.3 = 65.7, 65.7 - 6.3 = 59.4. Thus, the missing number is 59.4.

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Question 10archived

Kavya's birthday is on Tuesday 4th July. On what day of the week will Anika's Birthday in the same year, if Anika was born on 15th August?

  1. A
    Wednesday
  2. B
    Friday
  3. C
    Saturday
  4. D
    Tuesday
Show answer
D. Tuesday

If Kavya’s birthday is on a Tuesday and there is a 42-day difference between the two birthdays, Anika’s birthday will also be on a Tuesday.

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Question 11archived

The weights of 4 boxes are 70, 100, 20 and 40 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes?

  1. A
    230
  2. B
    190
  3. C
    160
  4. D
    200
Show answer
D. 200

By adding different combinations of the box weights, we find that 230 kilograms cannot be achieved. 190, 160, and 200 kilograms can be achieved using different combinations of the boxes, but 230 kilograms cannot.

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Question 12archived

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

  1. A
    BASIC
  2. B
    SMILY
  3. C
    CLIMB
  4. D
    COILS
Show answer
A. BASIC

The word "BASIC" cannot be formed using the letters of the word "SYMBOLIC" because it includes a letter "A," which is not present in "SYMBOLIC."

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Question 13archived

If HEROISM is coded as SVILRHN, then how will ALP be coded as?

  1. A
    LTV
  2. B
    ZXS
  3. C
    SGD
  4. D
    ZOK
Show answer
D. ZOK

In the given code, each letter in HEROISM is replaced by its reverse counterpart in the alphabet. Using this pattern, "A" is replaced by "Z," "L" by "O," and "P" by "K." Therefore, "ALP" is coded as "ZOK."

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Question 14archived

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '=' and '=' represents '-'. What is the answer to the following question? 15 - 5 + 25 + 10 = ?

  1. A
    22
  2. B
    -4
  3. C
    17
  4. D
    130
Show answer
D. 130

In the given code language, we replace the operators: '-' is '+' (addition), '+' is 'x' (multiplication), and 'x' is '=' (equality). Rewriting the equation: 15 + 5 x 25 - 10 = 130.

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Question 15archived

If 23@5=56; 6@7=26; 5@2=14; then what is the value of 7@5 = ?

  1. A
    26
  2. B
    24
  3. C
    19
  4. D
    52
Show answer
B. 24

The pattern in the given question seems to follow a mathematical operation. If we observe the given relations, we deduce that: 23@5 = 56, 6@7 = 26, 5@2 = 14. By applying the same logic to 7@5, we get the result as 24.

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Question 16archived

A and B start from the same point. A cycles 10 km South, then turns to her right and cycles 9 km. B cycles 2 km North, then turns West and cycles 15 km, then turns to her left and cycles 12 km. Where is B with respect to A now?

  1. A
    6 km West
  2. B
    6 km East
  3. C
    24 km West
  4. D
    24 km East
Show answer
A. 6 km West

Both A and B cycle in different directions, but when we calculate their positions based on the given movements, we find that B is located 6 km West of A.

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Question 17archived

The statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement 1: All wheat are grain. Statement 2: Some wheat are flour. Conclusion I: Some grain are flour. Conclusion II: Some flour are wheat.

  1. A
    Only conclusion I follows
  2. B
    Only conclusion II follows
  3. C
    Both I and II follow
  4. D
    Neither I nor II follows
Show answer
C. Both I and II follow

From the statements, we can conclude that since some wheat are flour, and wheat is a type of grain, some grain must be flour. Conclusion I follows. Also, since some flour are wheat, Conclusion II also follows.

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Question 18archived

In the following question, by using which mathematical operators will the expression become correct? 27 ? 9 ? 18 ? 24 ? 12

  1. A
    ÷, +, = and +
  2. B
    ÷, x, < and +
  3. C
    ÷, x, > and +
  4. D
    +, ÷, = and ÷
Show answer
C. ÷, x, > and +

The correct sequence of operators is "÷, x, > and +" because it satisfies the given expression and makes the equation true. 27 x 9 = 243, 243 + 18 = 261, 261 x 24 = 6264, 6264 + 12 = 6276.

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Question 19archived

In the following question, select the related word from the given alternatives. Umbrella : Rain :: Sweater : ?

  1. A
    Wool
  2. B
    Wear
  3. C
    Summer
  4. D
    Cold
Show answer
D. Cold

Just as an umbrella is used for rain, a sweater is used to protect from cold. Therefore, the correct answer is Cold.

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Question 20archived

In the following question, select the odd letters from the given alternatives.

  1. A
    IMOR
  2. B
    ORIL
  3. C
    UXCF
  4. D
    ADWZ
Show answer
A. IMOR

All the other sets of letters have a consistent pattern of alphabetical progression. However, "IMOR" does not follow this pattern, making it the odd one out.

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Question 21archived

In the following question, select the odd number pair from the given alternatives.

  1. A
    1444 – 37
  2. B
    2809 – 54
  3. C
    2209 – 46
  4. D
    6084 – 77
Show answer
B. 2809 – 54

The pair "2809 – 54" does not follow the same pattern as the other pairs in terms of numerical relationship. Hence, it is the odd one out.

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Question 22archived

Arrange the given words in the sequence in which they occur in the dictionary. 1. Clamp 2. Cloud 3. Cable 4. Cannal 5. Capricorn

  1. A
    35412
  2. B
    34512
  3. C
    43512
  4. D
    45312
Show answer
B. 34512

When arranging the words in dictionary order: Cable comes first, followed by Clamp, Cloud, Cannal, and finally Capricorn. Therefore, the correct sequence is 34512.

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Question 23archived

In the following question, select the missing number from the given series: 28, 30, 36, 48, ?, 98, 140

  1. A
    68
  2. B
    65
  3. C
    72
  4. D
    67
Show answer
A. 68

The series follows the pattern of increasing by successive numbers: 28 + 2 = 30, 30 + 6 = 36, 36 + 12 = 48, 48 + 20 = 68. Therefore, the missing number is 68.

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Question 24archived

If 19 + 2 x 2 + 3 = 369 and 23 + 2 x 6 + 2 = 565, then what is the value of 7 x 3 + 11 + 3 = ?

  1. A
    1674
  2. B
    1384
  3. C
    1268
  4. D
    1496
Show answer
A. 1674

The given equations seem to follow a complex pattern involving addition and multiplication. The pattern suggests that 7 x 3 + 11 + 3 = 1674.

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Question 25archived

In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? a_caab_a_bcaab_a_b_a

  1. A
    cbacba
  2. B
    bcacac
  3. C
    acbaca
  4. D
    bbacaa
Show answer
B. bcacac

When we replace the gaps with the correct sequence, "bccac" completes the series logically, maintaining symmetry and consistency.

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Question 26archived

For a price taking firm, average revenue is _______ market price.

  1. A
    half of
  2. B
    equal to
  3. C
    double of
  4. D
    less than
Show answer
B. equal to

For a price-taking firm in a perfectly competitive market, the average revenue is equal to the market price, as firms are price takers.

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Question 27archived

The study of individual markets of demand and supply in which the 'players', or the decision makers, were also individuals (buyers or sellers, even companies who were seen as trying to maximize their profits as producers or sellers) and their personal satisfaction or welfare levels (as consumers) is called?

  1. A
    Macroeconomics
  2. B
    Econometrics
  3. C
    Microeconomics
  4. D
    Heterodox Economics
Show answer
C. Microeconomics

The correct term for the study of individual decision-making markets and welfare levels is "Microeconomics."

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Question 28archived

In which year was Nationalist Congress Party (NCP) founded?

  1. A
    1949
  2. B
    1999
  3. C
    1972
  4. D
    1997
Show answer
B. 1999

The Nationalist Congress Party (NCP) was founded in 1999.

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Question 29archived

Which Fundamental Right in the Indian Constitution states that every person has the right to practice, profess and propagate the religion of their choice?

  1. A
    Right to Equality
  2. B
    Right to Freedom
  3. C
    Right to Freedom of Religion
  4. D
    Right against Exploitation
Show answer
C. Right to Freedom of Religion

The "Right to Freedom of Religion" is the fundamental right that guarantees every individual the freedom to practice, profess, and propagate their religion.

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Question 30archived

In 1917, Mahatma Gandhi organised a satyagraha to support the peasants of the Kheda district of ________.

  1. A
    Bihar
  2. B
    Karnataka
  3. C
    Gujarat
  4. D
    West Bengal
Show answer
C. Gujarat

In 1917, Mahatma Gandhi organised the Kheda Satyagraha in Gujarat to support the peasants who were struggling with land revenue issues.

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Question 31archived

Which queen of the Kakatiya dynasty ruled over Warangal, part of modern Andhra Pradesh?

  1. A
    Rudramadevi
  2. B
    Ahilyadevi
  3. C
    Bhagwati
  4. D
    Bhanumati
Show answer
A. Rudramadevi

Rudramadevi, the queen of the Kakatiya dynasty, ruled over Warangal in present-day Andhra Pradesh.

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Question 32archived

On the basis of distribution, resources can be classified into ___________?

  1. A
    Actual resources
  2. B
    Potential resources
  3. C
    Ubiquitous resources
  4. D
    Abiotic resources
Show answer
C. Ubiquitous resources

Resources are classified into various types based on their availability and distribution. Ubiquitous resources are those that are widely distributed and available in nature, making them the correct answer.

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Question 33archived

Uranium found in Ladakh is an example of which type of resource?

  1. A
    Unnatural resources
  2. B
    Actual resources
  3. C
    Potential resources
  4. D
    Biotic resources
Show answer
C. Potential resources

Uranium found in Ladakh is an example of a potential resource, as it exists but has not been fully exploited or developed for use yet.

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Question 34archived

Which is the longest bone in human body?

  1. A
    Febula
  2. B
    Tibia
  3. C
    Stapes
  4. D
    Femur
Show answer
D. Femur

The femur, also known as the thigh bone, is the longest bone in the human body.

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Question 35archived

Opposite the micropylar end, is the __________, representing the basal part of the ovule.

  1. A
    Hilum
  2. B
    Funicle
  3. C
    Chalaza
  4. D
    Nucleus
Show answer
C. Chalaza

The chalaza is the basal part of the ovule opposite to the micropylar end, which connects the ovule to the placenta.

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Question 36archived

In unicellular organisms, all functions like digestion, respiration and reproduction are performed by how many cell(s)?

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

In unicellular organisms, all life functions such as digestion, respiration, and reproduction are carried out by a single cell.

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Question 37archived

Reflection from a smooth surface like that of a mirror is called ___________ reflection.

  1. A
    Regular
  2. B
    Irregular
  3. C
    Diffused
  4. D
    Fused
Show answer
A. Regular

Reflection from a smooth surface, such as a mirror, results in regular reflection where the angle of incidence equals the angle of reflection.

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Question 38archived

What is the unit of resistance?

  1. A
    Ohm
  2. B
    Farad
  3. C
    Henry
  4. D
    Weber
Show answer
A. Ohm

The unit of electrical resistance is the "ohm."

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Question 39archived

Which of the following is not among the three different forms of 'if' statement?

  1. A
    if...
  2. B
    if...else
  3. C
    if...and
  4. D
    if...else if...else
Show answer
C. if...and

The "if...and" is not a valid form of the if statement in most programming languages. The valid forms are if, if...else, and if...else if...else.

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Question 40archived

PET is a very familiar form of ___________. It is used for making bottles.

  1. A
    Nylon
  2. B
    Acrylic
  3. C
    Polyester
  4. D
    Rayon
Show answer
C. Polyester

PET (Polyethylene Terephthalate) is a widely used plastic for making bottles due to its strength and durability.

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Question 41archived

Which of the following gases is heavier than oxygen?

  1. A
    Carbon dioxide
  2. B
    Ammonia
  3. C
    Methane
  4. D
    Helium
Show answer
A. Carbon dioxide

Carbon dioxide is heavier than oxygen, as it has a higher molecular weight.

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Question 42archived

In India, the Air (Prevention and Control of Pollution) Act came into force in 1981, but was amended in ________ to include noise as an air pollutant.

  1. A
    1987
  2. B
    1997
  3. C
    2007
  4. D
    2017
Show answer
A. 1987

The Air (Prevention and Control of Pollution) Act came into force in 1981, but was amended in 1987 to include noise as an air pollutant.

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Question 43archived

In April 2017, Prime Minister Narendra Modi inaugurated phase-I (Link-2) pipeline canal of the ambitious Saurashtra Narmada Avataran Irrigation (SAUNI) in which state?

  1. A
    Rajasthan
  2. B
    Uttar Pradesh
  3. C
    Gujarat
  4. D
    Madhya Pradesh
Show answer
C. Gujarat

Prime Minister Narendra Modi inaugurated phase-I (Link-2) pipeline canal of the Saurashtra Narmada Avataran Irrigation project in Gujarat in April 2017.

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Question 44archived

Who invented the vacuum pump?

  1. A
    Otto von Guericke
  2. B
    Cai Lun
  3. C
    Melitta Bentz
  4. D
    William Henry Fox Talbot
Show answer
A. Otto von Guericke

The vacuum pump was invented by Otto von Guericke, a German scientist and engineer.

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Question 45archived

Who was the winner of 2017 Australian Grand Prix?

  1. A
    Sebastian Vettel
  2. B
    Lewis Hamilton
  3. C
    Valtteri Bottas
  4. D
    Kimi Raikkonen
Show answer
A. Sebastian Vettel

Sebastian Vettel won the 2017 Australian Grand Prix.

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Question 46archived

Sanchi Stupa was built by?

  1. A
    Akbar
  2. B
    Humayun
  3. C
    Ashoka
  4. D
    Narasimha
Show answer
C. Ashoka

The Sanchi Stupa was built by Emperor Ashoka, the Mauryan ruler, to mark the spot where the relics of Buddha were enshrined.

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Question 47archived

Who won the Best Actress in a Leading Role in 62nd Filmfare Awards 2017?

  1. A
    Priyanka Chopra
  2. B
    Deepika Padukone
  3. C
    Alia Bhatt
  4. D
    Katrina Kaif
Show answer
C. Alia Bhatt

Alia Bhatt won the Best Actress award in the 62nd Filmfare Awards for her performance in the movie 'Udta Punjab'.

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Question 48archived

The author of the novel 'The Grapes of Wrath' is Ayn Rand. The author of the novel 'The Fountainhead' is John Steinbeck. The author of the novel 'Ancillary Justice' is Ann Leckie. Which of the statements given above are not correct?

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

Statement A is incorrect. The author of 'The Grapes of Wrath' is John Steinbeck, not Ayn Rand. Statement B is correct, and Statement C is also correct. Therefore, the answer is A and B.

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Question 49archived

In which city was Ariana Grande performing in when her concert was hit by a terrorist attack in May 2017?

  1. A
    Manchester
  2. B
    Birmingham
  3. C
    Liverpool
  4. D
    London
Show answer
A. Manchester

Ariana Grande was performing in Manchester when her concert was hit by a terrorist attack in May 2017.

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Question 50archived

The Indian State of Sikkim does not share a border with which neighbouring country?

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

Sikkim shares borders with Nepal, Bhutan, and China, but not Bangladesh.

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Question 51archived

What is the remainder when 6910 is divided by 81?

  1. A
    25
  2. B
    24
  3. C
    21
  4. D
    19
Show answer
A. 25

The remainder when 6910 is divided by 81 is 25.

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Question 52archived

A can do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?

  1. A
    16
  2. B
    8
  3. C
    20
  4. D
    12
Show answer
D. 12

A completes 75% of the work in 18 days, so A completes 4.17% of the work per day. B completes 25% of the work in 12 days, so B completes 2.08% per day. Together, they complete 6.25% of the work per day, so to complete 75%, it will take 12 days.

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Question 53archived

Area of 4 walls of a cuboid is 57 sq m, if its length is 5.5 m and height is 3 m. What is its breadth (in m)?

  1. A
    4.5
  2. B
    4
  3. C
    3
  4. D
    3.5
Show answer
B. 4

Using the formula for the surface area of a cuboid (2 * l * h + 2 * l * b + 2 * b * h), we can find the breadth as 4 meters.

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Question 54archived

At 30% discount the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?

  1. A
    1200
  2. B
    1175
  3. C
    1100
  4. D
    1275
Show answer
D. 1275

If the selling price is Rs 1050 with a 30% discount, the original price is Rs 1500. With a 15% discount, the new selling price is Rs 1275.

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Question 55archived

What is the fourth proportional to 336, 288 and 161?

  1. A
    184
  2. B
    193
  3. C
    138
  4. D
    134
Show answer
C. 138

Using the formula for the fourth proportional (a : b = c : d), we find the fourth proportional is 138.

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Question 56archived

What is the average of all numbers between 9 and 90 which are divisible by 8?

  1. A
    53
  2. B
    52
  3. C
    51
  4. D
    50
Show answer
B. 52

The numbers divisible by 8 between 9 and 90 are 16, 24, 32, 40, 48, 56, 64, 72, and 80. The average of these numbers is 52.

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Question 57archived

A trader had 630 kgs of rice. He sold a part of it at 15% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit?

  1. A
    270
  2. B
    300
  3. C
    280
  4. D
    290
Show answer
A. 270

Let the amount of rice sold at 8% profit be x. The total profit equation becomes 15% of (630 - x) + 8% of x = 12% of 630. Solving this, we find x = 270 kgs.

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Question 58archived

If a = 50% of a, then b% of 40 is the same as __________ of a.

  1. A
    0.25
  2. B
    0.16
  3. C
    2
  4. D
    0.2
Show answer
D. 0.2

If a = 50% of a, then b% of 40 is 0.25 of a because 0.25 * 40 = 50% of a.

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Question 59archived

Excluding stoppages, the speed of a train is 120 kmph and including stoppages, it is 50 kmph. For how many minutes does the train stop per hour?

  1. A
    25
  2. B
    40
  3. C
    35
  4. D
    30
Show answer
C. 35

When stoppages are included, the speed reduces from 120 kmph to 50 kmph. Therefore, the train stops for 35 minutes per hour.

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Question 60archived

The simple and compound interest that can be earned in two years at the same rate is Rs 4000 and Rs 4180 respectively. What is the rate (percent per annum) of interest?

  1. A
    18
  2. B
    4.5
  3. C
    9
  4. D
    12
Show answer
C. 9

The rate of interest is calculated using the formula for simple and compound interest. The rate comes out to be 9% per annum.

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Question 61archived

If 2x/3 - [5(4x/5 - 4/3)]/2 = 1/3, then what is the value of x?

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

Step 1: Simplify inside the brackets: (4x/5 - 4/3) = (12x - 20)/15 Multiply by 5: (60x - 100)/15 Divide by 2: (60x - 100)/30 Step 2: Plug into the equation: (2x/3) - (60x - 100)/30 = 1/3 Convert to common denominator: (20x - (60x - 100)) / 30 = 1/3 (-40x + 100)/30 = 1/3 Step 3: Cross multiply: 3(-40x + 100) = 30 -120x + 300 = 30 -120x = -270 x = 9/4 Answer: x = 9/4

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Question 62archived

If a³ + b³ = 28 and a + b = 4, then what is the value of ab?

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

Using the identity (a³ + b³) = (a + b)(a² - ab + b²), we substitute the known values and solve for ab, getting ab = 3.

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Question 63archived

6 times a fraction is greater than 7 times its reciprocal by 11. What is the fraction?

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

Let the fraction be x. The equation becomes 6x = 7(1/x) + 11. Solving this gives x = 7/3.

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Question 64archived

What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?

  1. A
    42
  2. B
    -11
  3. C
    28
  4. D
    12
Show answer
B. -11

The sum of an arithmetic progression is given by the formula: S = n/2 * (a + l), where n is the number of terms, a is the first term, and l is the last term. Substituting the values, S = 11/2 * (-31 + 29) = -11.

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Question 65archived

What is the reflection of the point (-1, 5) in the line x = 1?

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

The reflection of the point (-1, 5) in the line x = 1 is found by mirroring the point across the line x = 1. The reflected point is (3, 5).

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Question 66archived

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?

  1. A
    (0, 3)
  2. B
    (0, -3)
  3. C
    (0, -5)
  4. D
    (0, 5)
Show answer
B. (0, -3)

The centroid of a triangle is given by the average of the coordinates of its vertices. For vertices A(1, -5), B(-4, 0), and C(3, -4), the centroid is (0, -3).

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Question 67archived

Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?

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

To find the value of x, use the formula for the slope of a line: (y2 - y1) / (x2 - x1). Substituting the values of points A(x, -5) and B(2, -3), we solve for x and get the value as 1/2.

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Question 68archived

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

  1. A
    1:12
  2. B
    1:16
  3. C
    1:6
  4. D
    1:24
Show answer
D. 1:24

The ratio of areas of similar triangles is the square of the ratio of their corresponding sides. Since AD:DB = 1:4, the ratio of areas of ΔADE to ΔABC is 1:25. Therefore, the area of quadrilateral BDEC is 24 times the area of ΔADE. Hence, the ratio of areas of ΔADE to BDEC is 1:24.

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Question 69archived

What is the value of 1/2 Cot 30° + 1/3 Cosec 60°?

  1. A
    (3√3 + 2√2)/3√2
  2. B
    (3√3 - 2√2)/3√2
  3. C
    (3√3 + 2√2)/√2
  4. D
    (3√3 - 2√2)/√2
Show answer
A. (3√3 + 2√2)/3√2

After evaluating Cot 30° and Cosec 60°, the final expression simplifies to (3√3 + 2√2)/3√2.

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Question 70archived

ΔABC is right angled at B. If ∠A = 60°, then what is the value of 2 Sec C × 1/2 Sin A?

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

Given ∠A = 60° and using the equation 2 Sec C × 1/2 Sin A, we calculate the result as 1.

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Question 71archived

If Tan θ = 7/24, then what is the value of Cosec θ?

  1. A
    25/24
  2. B
    25/7
  3. C
    24/7
  4. D
    24/25
Show answer
B. 25/7

We know that Tan θ = 7/24. Using the identity 1 + Tan²θ = Sec²θ, we can find Sec θ and use the identity Sec²θ = Cosec²θ to find Cosec θ. The final value is 25/7.

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Question 72archived

If 27N4 is divisible by 11, then what is the value of N?

  1. A
    2
  2. B
    7
  3. C
    9
  4. D
    6
Show answer
C. 9

The number 27N4 is divisible by 11 if the difference between the sum of digits in odd positions and the sum of digits in even positions is divisible by 11. Solving this, we find N = 9.

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Question 73archived

A watch having marked price as Rs 8400 is sold for Rs 5040 after two successive discounts. If the first discount is 25%, then what is the second discount percentage?

  1. A
    0.15
  2. B
    0.2
  3. C
    0.25
  4. D
    0.3
Show answer
B. 0.2

Let the second discount be x%. After applying the first discount of 25%, the price becomes 8400 * 0.75 = 6300. Then, applying the second discount, we get 6300 * (1 - x) = 5040. Solving this, we get x = 0.2 or 20%.

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Question 74archived

If P : Q = R : S = 2 : 3 : 5, then what is the value of (P + Q) : (Q + R) : (R + P)?

  1. A
    5:8:7
  2. B
    2:3:5
  3. C
    5:8:10
  4. D
    4:9:25
Show answer
A. 5:8:7

Given the ratios P : Q = 2 : 3 and R : S = 5, calculate the sum of each pair (P + Q), (Q + R), and (R + P), which gives the ratio 5:8:7.

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Question 75archived

Average age of 20 students is 21 years. 2 students leave the group and 1 new student joins the group. The average now becomes 20 years. If age of one of the student who left the group is 26 years and the one who joined is 20 years, then what is the age (in years) of the other student who left the group?

  1. A
    20
  2. B
    14
  3. C
    22
  4. D
    16
Show answer
B. 14

Let the age of the other student who left be x. The total age before the student left is 20 * 21 = 420. After the changes, the total age becomes 20 * 20 = 400. Solving, we get x = 14.

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Question 76archived

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'. Not too long then, the (1) lodge was the only (2) place to stay here. (3)/No Error (4)

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

The sentence should use "than" instead of "then". The error is in part 1.

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Question 77archived

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'. He was able to put (1) pen of paper only (2) much later. (3)/No Error (4)

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

The sentence should use "a" before "pen of paper". The error is in part 2.

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Question 78archived

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. I sensed the __________ of the argument.

  1. A
    beautiful
  2. B
    beautifully
  3. C
    beauty
  4. D
    beautification
Show answer
C. beauty

The correct word to complete the sentence is "beauty".

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Question 79archived

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. The beans are ____ turned to avoid burning.

  1. A
    constant
  2. B
    constants
  3. C
    constantly
  4. D
    constantedly
Show answer
C. constantly

The correct answer is "constantly" because the sentence requires an adverb to describe the manner in which the beans are turned. "Constantly" correctly modifies the verb "turned".

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Question 80archived

In the following question, out of the four alternatives, select the word similar in meaning to the word given. Drivel

  1. A
    Intelligent
  2. B
    Blather
  3. C
    Judicious
  4. D
    Sane
Show answer
B. Blather

"Drivel" means silly nonsense or foolish talk, and the word that is similar in meaning is "Blather", which also refers to senseless talk or nonsense.

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Question 81archived

In the following question, out of the four alternatives, select the word similar in meaning to the word given. Perseverance

  1. A
    Endurance
  2. B
    Cowardice
  3. C
    Lethargy
  4. D
    Indolence
Show answer
A. Endurance

"Perseverance" refers to continued effort and determination to do something despite difficulties, and the word that is similar in meaning is "Endurance", which implies the ability to endure hardship or adversity with persistence.

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Question 82archived

In the following question, out of the four alternatives, select the word opposite in meaning to the word given. Hazardous

  1. A
    Perilous
  2. B
    Precarious
  3. C
    Dicey
  4. D
    Secure
Show answer
D. Secure

The word "Hazardous" means dangerous or risky. The opposite would be "Secure", which means safe or free from danger.

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Question 83archived

In the following question, out of the four alternatives, select the word opposite in meaning to the word given. Advocacy

  1. A
    Discouragement
  2. B
    Advancement
  3. C
    Assistance
  4. D
    Backing
Show answer
A. Discouragement

"Advocacy" means public support for or recommendation of a particular cause or policy. The opposite is "Discouragement", which means the act of deterring someone from an action.

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Question 84archived

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase. Put one's foot down

  1. A
    Give up easily without a fight
  2. B
    Learn to dance in spite of being clumsy
  3. C
    Adopt a firm policy when faced with opposition or disobedience
  4. D
    Take the first step of a very long difficult journey
Show answer
C. Adopt a firm policy when faced with opposition or disobedience

The idiom "Put one's foot down" means to be firm or strict in opposing something, typically disobedience or unwanted behavior. Hence, the correct meaning is "Adopt a firm policy when faced with opposition or disobedience."

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Question 85archived

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase. Whistle in the dark

  1. A
    Pretend to be unafraid
  2. B
    A ray of hope in the worst of times
  3. C
    See a ghost while dreaming
  4. D
    Be blind and fall into a trap
Show answer
A. Pretend to be unafraid

The idiom "Whistle in the dark" refers to the act of pretending to be unafraid in a frightening or uncertain situation. The correct answer is "Pretend to be unafraid."

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Question 86archived

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". I (am always wondered) what it would be like to be inside a chocolate factory.

  1. A
    have always wonder
  2. B
    have always wondering
  3. C
    have always wondered
  4. D
    No improvement
Show answer
C. have always wondered

The correct expression is "have always wondered", which is the present perfect tense used to express an action that occurred at an indefinite time in the past and is still relevant now. "Am always wondered" is grammatically incorrect.

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Question 87archived

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". They loaded their ships with spices and silks and (returns) with the summer monsoon.

  1. A
    returned
  2. B
    return
  3. C
    returning
  4. D
    No improvement
Show answer
A. returned

The correct verb form should be "returned" to match the past tense structure of the sentence. "Returns" is present tense and does not agree with the past action "loaded".

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Question 88archived

In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence. Diminish in value over a period of time

  1. A
    Escalate
  2. B
    Augment
  3. C
    Aggrandise
  4. D
    Depreciate
Show answer
D. Depreciate

The word that best substitutes "Diminish in value over a period of time" is "Depreciate". The other options mean the opposite, i.e., to increase in value or make greater.

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Question 89archived

In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence. Not able to produce children

  1. A
    Gravid
  2. B
    Hebetic
  3. C
    Fecund
  4. D
    Sterile
Show answer
D. Sterile

The word "Sterile" means not able to produce children or young, hence it is the best substitute. "Gravid" means pregnant, "Fecund" means fertile or capable of producing offspring, and "Hebetic" refers to puberty.

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Question 90archived

In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.

  1. A
    loopholes
  2. B
    loupholes
  3. C
    looppohles
  4. D
    luppholes
Show answer
A. loopholes

The correct spelling is "loopholes". All other options are incorrect spellings of the word.

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Question 91archived

In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.

  1. A
    wherefor
  2. B
    wharefore
  3. C
    wharefor
  4. D
    wherefore
Show answer
D. wherefore

The word "wherefore" is the correct spelling, meaning "for what reason" or "why". The other spellings are incorrect.

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Question 92archived

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. He does not mean X - when he denies that it is causal Y - to indicate that the relation Z - is any the less uniform or dependable

  1. A
    YXZ
  2. B
    ZYZX
  3. C
    XZY
  4. D
    XYZ
Show answer
B. ZYZX

The most logical sequence is ZYX. The sentence logically starts with a broad statement about the uniformity or dependability of the relation (Z), followed by a clarification of what is meant by denying causality (Y), and then specifying the context of denial (X).

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Question 93archived

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. Not only people have buying X - environment and health Y - capacity in the city, people here are Z - also quite concerned about

  1. A
    YXZ
  2. B
    YZX
  3. C
    XZY
  4. D
    XYZ
Show answer
B. YZX

The logical sequence is YZX. This structure continues the idea that people not only have buying capacity but are also concerned about something. It flows logically as: capacity → also concerned → about environment and health.

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Question 94archived

In the following question, a sentence has been given in Active/Passive voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice. The director will give you instructions.

  1. A
    Instructions shall be given to you by the director.
  2. B
    You will get instructions from the director.
  3. C
    You shall get instructions from the director.
  4. D
    Instructions will be given to you by the director.
Show answer
D. Instructions will be given to you by the director.

The correct passive form of "The director will give you instructions" is "Instructions will be given to you by the director." This construction retains the original meaning and is grammatically correct in passive voice.

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Question 95archived

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech. "What makes you so sad?" she asked Manoj.

  1. A
    She asked Manoj what makes him so sad.
  2. B
    She asks Manoj what made him so sad.
  3. C
    She asked Manoj what made him so sad.
  4. D
    She asks Manoj what makes him so sad.
Show answer
C. She asked Manoj what made him so sad.

The sentence is in direct speech and is being converted to indirect speech. The reporting verb "asked" is in the past tense, so the question should also shift its tense from present to past. The correct conversion is: "She asked Manoj what made him so sad."

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Question 96archived

The telescope TRAPPIST is in which country?

  1. A
    Venezuela
  2. B
    Argentina
  3. C
    Chile
  4. D
    Mexico
Show answer
C. Chile

The passage mentions that the discovery of the exoplanets was made using the Chile-based Transiting Planets and Planetesimals Small Telescope, identifying the country as Chile.

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Question 97archived

What is essential to have the possibility of life on a planet?

  1. A
    Presence of atmosphere
  2. B
    Presence of gravity
  3. C
    Presence of sunlight
  4. D
    Presence of liquid water
Show answer
D. Presence of liquid water

The passage clearly mentions that a key to life as we know it on Earth is the presence of liquid water. It even emphasizes that Earth is the only planet in our solar system with liquid water and how the possibility of life on exoplanets is linked to the potential presence of liquid water on their surfaces.

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Question 98archived

What is the 'Goldilocks' zone?

  1. A
    It is a mythological place about stars and planets
  2. B
    That place on a planet which has lowest possibility of liquid water.
  3. C
    The correct distance of a planet from its star to have possibility of having liquid water
  4. D
    That place on a planet which has the right amount of sunlight
Show answer
C. The correct distance of a planet from its star to have possibility of having liquid water

The 'Goldilocks' zone refers to the habitable zone around a star where conditions are just right — not too hot and not too cold — for liquid water to exist on a planet’s surface. This concept is crucial because liquid water is essential for life as we know it. In the context of the TRAPPIST-1 system mentioned in the passage, three planets are located in this zone, making them candidates for potentially supporting life. Hence, the correct explanation is that it's the right distance from a star that allows the presence of liquid water, matching option 3.

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Question 99archived

What made it easier to record the passage of the planet in front of the star?

  1. A
    The fact that the star is much smaller and cooler than our Sun
  2. B
    The fact that the star is much bigger and cooler than our Sun
  3. C
    The fact that the star is much smaller and hotter than our Sun
  4. D
    The fact that the star is much bigger and hotter than our Sun
Show answer
A. The fact that the star is much smaller and cooler than our Sun

The passage highlights that the dwarf star in question is much cooler than the Sun. It also points out that this makes the dimming of light easier to detect each time a planet transits the star. The reduced brightness of the smaller, cooler star allows the light changes caused by the planets to be more noticeable from Earth. Therefore, option 1 correctly identifies the factor that made observations easier.

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Question 100archived

How many planets in our solar system have liquid water?

  1. A
    Two
  2. B
    Three
  3. C
    One
  4. D
    Four
Show answer
C. One

According to the passage, “Only Earth has liquid water in the solar system.” This statement makes it clear that among all the planets in our solar system, Earth is the only one confirmed to have liquid water. Thus, the correct answer is option 3: One.

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