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SSC CGL 2016 · 2016-09-03 · Shift 2

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. Accomodation : Rent :: Journey : ?

  1. A
    Expense
  2. B
    Octroi
  3. C
    Freight
  4. D
    Fare
Show answer
D. Fare

The analogy suggests a relationship between a service and its cost. Accommodation requires rent, and a journey requires fare. Thus, the correct answer is Fare.

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Question 2archived

Select the related word/letters/numbers from the given alternatives. ECFG : FDGH :: SQTU : ?

  1. A
    TVRU
  2. B
    TVUR
  3. C
    TRUV
  4. D
    SRTV
Show answer
C. TRUV

The pattern involves shifting letters by a certain amount. The first group of letters (ECFG) is shifted to form FDGH. Similarly, SQTU will be shifted to form TRUV.

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Question 3archived

Select the related word/letters/numbers from the given alternatives.3 : 243 :: 5 : ?

  1. A
    125
  2. B
    625
  3. C
    3025
  4. D
    3125
Show answer
D. 3125

The relationship involves cubing the first number. 3³ = 27, and similarly 5³ = 125. Hence, the correct answer is 3125.

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Question 4archived

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

  1. A
    Kilogram
  2. B
    Quintal
  3. C
    Ton
  4. D
    Gallon
Show answer
D. Gallon

The first three options are units of weight, while Gallon is a unit of volume. Therefore, Gallon is the odd one out.

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Question 5archived

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

  1. A
    DBZ
  2. B
    QOM
  3. C
    USQ
  4. D
    JLN
Show answer
D. JLN

The odd group here is JLN as it does not follow the same pattern of letter progression as the other options.

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Question 6archived

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

  1. A
    36
  2. B
    64
  3. C
    54
  4. D
    108
Show answer
B. 64

54 is the odd one out as it is not a perfect square number, whereas the others (36, 64, 108) are perfect squares.

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Question 7archived

Arrange the following words as per order in the dictionary:

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

When the words are arranged in alphabetical order, the sequence is: Situation, Silver, Sitter, Simple, Signal. The correct option is 5, 2, 4, 3, 1.

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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: ZXV, USQ, PNL, ?

  1. A
    MJH
  2. B
    JHF
  3. C
    KIG
  4. D
    KIJ
Show answer
C. KIG

The pattern involves decrementing each letter in the sequence by a set number, and the next term following this pattern is KIG.

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Question 9archived

In the following question, one term in the number series is wrong. Find out the wrong term: 3, 10, 27, 4, 16, 64, 5, 25, 125

  1. A
    3
  2. B
    4
  3. C
    10
  4. D
    27
Show answer
C. 10

The sequence follows a cubic pattern except for the number 10. The correct series should be 3, 9, 27, 64, etc. Hence, the wrong term is 10.

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Question 10archived

'A' and 'B' are brothers. 'C' and 'D' are sisters. A's son is D's brother. How is B related to C?

  1. A
    Father
  2. B
    Brother
  3. C
    Grandfather
  4. D
    Uncle
Show answer
D. Uncle

Since B is A's brother and A's son is D's brother, B is C's uncle. Hence, the correct answer is Uncle.

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Question 11archived

A gets more marks than B but less than C. D gets less marks than E but more than A. If C gets less than D then who amongst A, B, C, D, E gets the highest marks?

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

According to the given conditions, C gets more marks than B and A, while D gets more marks than E. Therefore, D gets the highest marks.

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Question 12archived

From the given alternate words, select the word which cannot be formed using the letters of the given word: EXORBITANT

  1. A
    BITTER
  2. B
    EXPORT
  3. C
    EXNORA
  4. D
    EXTANT
Show answer
B. EXPORT

The word 'EXPORT' cannot be formed using the letters in 'EXORBITANT' as it requires an 'P' which is not in 'EXORBITANT'.

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Question 13archived

If D = 4 and DESK = 39, then the value of DRAW is?

  1. A
    57
  2. B
    46
  3. C
    45
  4. D
    36
Show answer
B. 46

By adding the numeric value of the letters in each word (D=4, E=5, S=19, K=11), the sum for each word is calculated. Similarly, for DRAW, we get the value 46.

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Question 14archived

If '–' stands for subtraction, '÷' stands for division, '×' stands for multiplication, then which one of the following equation is correct?

  1. A
    35 + 4 ÷ 25 × 5 + 5 = 28
  2. B
    35 + 4 – 25 ÷ 5 × 5 = 61
  3. C
    35 + 4 ÷ 25 × 5 + 5 = 41
  4. D
    35 ÷ 4 - 25 x 5 + 5 = 56
Show answer
D. 35 ÷ 4 - 25 x 5 + 5 = 56

The given equation is: 35 - 4 + 25 x 5 + 5 First, substitute the symbols based on the problem's conditions: '-' stands for addition, so 35 - 4 becomes 35 + 4 = 39 '+' stands for subtraction, so 39 + 25 becomes 39 - 25 = 14 'x' stands for division, so 25 x 5 becomes 25 ÷ 5 = 5 '+' stands for multiplication, so 5 + 5 becomes 5 * 5 = 25 The final result is: 39 + 25 = 56 Thus, the correct equation is: 35 ÷ 4 - 25 x 5 + 5 = 56

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Question 15archived

In this question, some equations are solved on the basis of a certain system. On the same basis, find out the correct answer from the four alternatives for the unsolved equation. 15 × 26 = 6512, 29 × 36 = 6923, 46 × 54 = ?

  1. A
    5464
  2. B
    4645
  3. C
    4564
  4. D
    4465
Show answer
B. 4645

The pattern involves swapping the first and second digits of the result for each equation. Following this pattern for 46 × 54 gives 4645.

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Question 16archived

Select the missing numbers from the given alternatives: 7144 4129 624?

  1. A
    19
  2. B
    16
  3. C
    21
  4. D
    20
Show answer
B. 16

The number pattern follows a consistent difference between the numbers, where the missing number is 16.

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Question 17archived

Rohan walks a distance of 3 kms towards North, then turns to his left and walks for 2 kms. He again turns left and walks for 3 kms. At this point he turns to his left and walks for 3 kms. How far is he from the starting point?

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

Let's break down Rohan's movements step by step: 1. He first walks 3 km North. 2. He then turns left (towards West) and walks 2 km. 3. He turns left again (now facing South) and walks 3 km. 4. Finally, he turns left once more (facing East) and walks 3 km. Now, let's calculate his final position: After the first move, he is 3 km North of the starting point. After the second move, he is 2 km West of the North line. After the third move, he is 3 km South of his previous position, which brings him back to the same horizontal level as his starting point. After the fourth move, he walks 3 km East, which cancels out the 2 km West he had previously walked, leaving him 1 km East of the starting point. Therefore, Rohan is 1 km away from the starting point, in the East direction. The correct answer is: 1 km

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Question 18archived

Consider the given statements to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement: Statements: 1. Some principals are teachers. 2. All teachers are students. Conclusions: 1. All principals are students. 2. Some students are principals.

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

Conclusion II follows directly from the given statements, as all principals are students. Conclusion I is not necessarily true based on the information provided.

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Question 19archived

Find the number of triangles in the figure.

Question figure
  1. A
    12
  2. B
    20
  3. C
    22
  4. D
    24
Show answer
C. 22

The total number of triangles in the given figure, after counting all possible smaller and larger triangles, is 22.

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Question 20archived

Identify the diagram that best represents the relationship among the classes given below: Criminals, Judges, Thieves

  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)

Diagram 1 accurately represents the relationship between Criminals, Judges, and Thieves, where the appropriate overlap is depicted.

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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
C. Option C (shown in image)

The correct answer figure follows the pattern and completes the symmetry of the existing figure. Option 3 is the right one.

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Question 22archived

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

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

The question figure is hidden within Option 2, as it matches the pattern and orientation shown in the figure.

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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
B. Option B (shown in image)

The folded paper, when opened, will show the pattern as depicted in Option 2, based on the cut and fold pattern.

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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
C. Option C (shown in image)

The correct mirrored image is reflected in Option 3, following the correct mirror image logic of flipping along the line MN.

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Question 25archived

Rices can be represented first by its row and next by its column, e.g., 'L' can be represented by 00, 13, 24 etc., and 'T' can be represented by 59, 66, 78, etc. Similarly, you have to identify the set for the word 'CORK'.

Question figure
  1. A
    42, 21, 67, 58
  2. B
    22, 33, 86, 85
  3. C
    11, 40, 55, 75
  4. D
    30, 14, 97, 56
Show answer
C. 11, 40, 55, 75

The correct representation for the word 'CORK' is given by the set 11, 40, 55, 75, based on the corresponding row and column positions in the grid.

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Question 26archived

Which of the following was not advocated by Mahatma Gandhi?

  1. A
    Prohibition
  2. B
    Heavy Industries
  3. C
    Village Panchayat
  4. D
    Dignity of Labour
Show answer
B. Heavy Industries

Mahatma Gandhi did not advocate the development of heavy industries, as he focused on rural development and self-reliance through cottage industries.

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Question 27archived

The term of a Governor is

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

The term of a Governor in India is 5 years as per the Constitution.

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Question 28archived

One of the following was not associated with the Gadar party?

  1. A
    Lala Hardyal
  2. B
    Baba Gurdit Singh
  3. C
    Mohammad Barkatullah
  4. D
    Sohan Singh Bhakna
Show answer
B. Baba Gurdit Singh

Baba Gurdit Singh was not associated with the Gadar Party, though he was a prominent figure in the Indian independence movement.

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Question 29archived

The hormone that stimulates heart beat is

  1. A
    Thyroxine
  2. B
    Gastrin
  3. C
    Glycogen
  4. D
    Dopamine
Show answer
A. Thyroxine

Thyroxine, produced by the thyroid gland, plays an important role in regulating metabolism and stimulating heart rate.

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Question 30archived

Transformer is a device to convert

  1. A
    D.C. to A.C.
  2. B
    Low voltage D.C. into high voltage D.C.
  3. C
    Low voltage A.C. into high voltage A.C.
  4. D
    Mechanical energy into Electrical energy
Show answer
C. Low voltage A.C. into high voltage A.C.

A transformer is used to convert low voltage A.C. into high voltage A.C., which is widely used in power transmission.

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Question 31archived

__________ is a type of computing that performs computation, storage and even applications as a service across a network.

  1. A
    Cloud Computing
  2. B
    Distributed Computing
  3. C
    Parallel Computing
  4. D
    Virtual Computing
Show answer
A. Cloud Computing

Cloud computing allows for the delivery of computing services over the internet, including computation, storage, and applications.

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Question 32archived

The presence of air bubble in blood stream is dangerous to life because

  1. A
    Air combines with blood forming a complex
  2. B
    The flow of blood increases manifold
  3. C
    The flow of blood is obstructed
  4. D
    The pressure of blood increases manifold
Show answer
C. The flow of blood is obstructed

The presence of air bubbles obstructs the flow of blood, causing blockages in blood vessels, which can be fatal.

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Question 33archived

The study of relation of animals and plants to their surroundings is called ________

  1. A
    Ecology
  2. B
    Ethnology
  3. C
    Genealogy
  4. D
    Icnology
Show answer
A. Ecology

Ecology is the branch of biology that studies the relationships between living organisms and their environment.

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Question 34archived

Who among the following was not a member of the Boxing team of India at Rio Olympics?

  1. A
    Shiv Thapa
  2. B
    Manoj Kumar
  3. C
    Vikas Krishan
  4. D
    Avtar Singh
Show answer
D. Avtar Singh

Avtar Singh was not part of the Indian Boxing team at the Rio Olympics, unlike the other mentioned boxers.

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Question 35archived

As per the 2016-17 Budget, the largest source of money to the Government of India is

  1. A
    Income Tax
  2. B
    Corporation Tax
  3. C
    Non-tax revenues
  4. D
    Borrowings and other liabilities
Show answer
D. Borrowings and other liabilities

According to the 2016-17 Indian budget, borrowings and other liabilities constituted the largest source of money to the Government of India.

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Question 36archived

According to Malthusian theory of population, _______

  1. A
    Population increases in geometric ratio, food supply increases in arithmetic ratio
  2. B
    Population increases in arithmetic ratio, food supply increases in geometric ratio
  3. C
    Population increases in a harmonic mean, food supply increases in geometric ratio
  4. D
    Population increases in a harmonic ratio, food supply increases in arithmetic ratio
Show answer
A. Population increases in geometric ratio, food supply increases in arithmetic ratio

According to Malthus, population grows in a geometric progression, while food supply grows in an arithmetic progression, which leads to a population crisis if unchecked.

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Question 37archived

The weight of an object is maximum

  1. A
    On the equator
  2. B
    On the surface of the earth
  3. C
    At the centre of the earth
  4. D
    On the poles of the earth
Show answer
D. On the poles of the earth

Due to the Earth's rotational motion, the weight of an object is maximum at the poles where there is no centrifugal force acting on it.

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Question 38archived

Which of the following plays an important role in photosynthesis?

  1. A
    Chloroplast
  2. B
    Centrosome
  3. C
    Tonoplast
  4. D
    Nematoblast
Show answer
A. Chloroplast

Chloroplasts are essential in photosynthesis as they contain chlorophyll, which absorbs sunlight for the process.

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Question 39archived

The impact of Green Revolution was felt most in the case of

  1. A
    Wheat
  2. B
    Rice
  3. C
    Pulses
  4. D
    Oil seeds
Show answer
A. Wheat

The Green Revolution had the most significant impact on wheat production, especially in India, increasing productivity through the introduction of high-yielding varieties.

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Question 40archived

What is a bank rate?

  1. A
    Rate at which Central bank of a country advances loans to other banks in the country
  2. B
    Rate at which banks advance loans to the customers
  3. C
    Rate at which banks lend among themselves
  4. D
    Rate at which banks lend to money lenders
Show answer
A. Rate at which Central bank of a country advances loans to other banks in the country

Bank rate refers to the rate at which the central bank lends money to commercial banks, influencing overall interest rates in the economy.

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Question 41archived

Which of the following tax systems will help to reduce economic inequalities in India?

  1. A
    Regressive Tax
  2. B
    Progressive Tax
  3. C
    Flat rate tax
  4. D
    None of these
Show answer
B. Progressive Tax

Progressive tax helps reduce economic inequality because it taxes the higher-income groups at higher rates, thus redistributing wealth more effectively.

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Question 42archived

President of India can be removed from his office by

  1. A
    Prime Minister of India
  2. B
    Chief Justice of India
  3. C
    Parliament
  4. D
    Lok Sabha
Show answer
C. Parliament

The President of India can be removed from office by a process of impeachment through Parliament.

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Question 43archived

A broad, low embankment built up along the banks of a river channel during floods is called

  1. A
    Delta
  2. B
    Levee
  3. C
    Flood Plain
  4. D
    Dune
Show answer
B. Levee

Levees are natural or artificial embankments built along riverbanks to prevent flooding.

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Question 44archived

At which stage in its life cycle does the silkworm yield the fiber of commercial use?

  1. A
    Larva
  2. B
    Egg
  3. C
    Pupa
  4. D
    Imago
Show answer
C. Pupa

The silkworm produces silk during the pupal stage, which is then harvested for commercial use.

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Question 45archived

Quality of a musical note depends on

  1. A
    Fundamental frequency
  2. B
    Amplitude of the wave
  3. C
    Harmonics present
  4. D
    Velocity of sound in the medium
Show answer
C. Harmonics present

The quality of a musical note is largely determined by the harmonics present, which give it its timbre and character.

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Question 46archived

The tides in the sea are primarily due to

  1. A
    The atmospheric effect of the Earth
  2. B
    The gravitational effect of Venus on the Earth
  3. C
    The gravitational effect of the Sun on the Earth
  4. D
    The gravitational effect of the Moon on the Earth
Show answer
D. The gravitational effect of the Moon on the Earth

The primary cause of tides on Earth is the gravitational pull exerted by the Moon on the Earth's oceans.

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Question 47archived

The five permanent members of the UN Security Council are

  1. A
    USA, China, France, Russia and Canada
  2. B
    China, France, Russia, UK and USA
  3. C
    Japan, Germany, Russia, UK and USA
  4. D
    Germany, China, USA, Russia and UK
Show answer
B. China, France, Russia, UK and USA

The five permanent members of the UN Security Council are China, France, Russia, UK, and USA.

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Question 48archived

Which of the following is not correctly paired?

  1. A
    Sania Mirza - Tennis
  2. B
    Saina Nehwal - Badminton
  3. C
    Jhoomla Goswami - Cricket
  4. D
    Jeev Milka Singh - Chess
Show answer
D. Jeev Milka Singh - Chess

Jeev Milka Singh is a golfer, not a chess player, making the pairing incorrect.

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Question 49archived

Aryabhatt and Kalidasa were in the court of which Gupta Emperor?

  1. A
    Kumara Gupta I
  2. B
    Chandra Gupta II
  3. C
    Samudra Gupta
  4. D
    Skanda Gupta
Show answer
B. Chandra Gupta II

Aryabhata and Kalidasa were scholars in the court of Chandra Gupta II, one of the most famous Gupta rulers.

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Question 50archived

What process takes place during the youthful stage of a river?

  1. A
    Valley widening
  2. B
    River rejuvenating
  3. C
    Valley deepening
  4. D
    Meandering
Show answer
C. Valley deepening

During the youthful stage of a river, the process of valley deepening takes place as the river cuts through the landscape, forming steep valleys.

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Question 51archived

If 10 people can do a job in 20 days, then 20 people with twice the efficiency can do the same job in?

  1. A
    5 days
  2. B
    10 days
  3. C
    20 days
  4. D
    40 days
Show answer
A. 5 days

If the number of people and efficiency increase, the time taken will decrease. Doubling the number of people and efficiency halves the time, so the job will be completed in 5 days.

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Question 52archived

ABCD is a quadrilateral in which BD and AC are diagonals, then

  1. A
    AB + BC + CD + AD
  2. B
    AB + BC + CD + DA > AC + BD
  3. C
    AB + BC + CD + DA = AC + BD
  4. D
    AB + BC + CD + DA = 2(AC + BD)
Show answer
B. AB + BC + CD + DA > AC + BD

The correct formula for the quadrilateral where BD and AC are diagonals is AB + BC + CD + DA = AC + BD.

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Question 53archived

Two consecutive discounts x% and y% is equivalent to the discount

  1. A
    (x - y + xy / 100)%
  2. B
    (x + y + xy / 100)%
  3. C
    (x - y - xy / 100)%
  4. D
    (x + y - xy / 100)%
Show answer
D. (x + y - xy / 100)%

The formula for two consecutive discounts of x% and y% can be derived as follows: Let the original price be P. After applying the first discount of x%, the price becomes: Price after first discount = P × (1 - x/100) Now, applying the second discount of y% on the new price: Price after second discount = P × (1 - x/100) × (1 - y/100) This is equivalent to a single discount of: Single equivalent discount = 100 × [1 - (1 - x/100)(1 - y/100)] Expanding the equation: Single equivalent discount = 100 × [1 - (1 - x/100 - y/100 + xy/10000)] Single equivalent discount = 100 × [x + y - xy/100] / 100 This simplifies to: Equivalent discount = x + y - xy / 100 Thus, the correct formula for two consecutive discounts is: (x + y - xy / 100)% The correct answer is: 4

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Question 54archived

A box of sweets was distributed between A and B in the ratio 3:4. If A got 36 sweets, what was the total number of sweets?

  1. A
    12
  2. B
    84
  3. C
    144
  4. D
    27
Show answer
B. 84

If A gets 36 sweets, and the ratio of distribution is 3:4, the total number of sweets is calculated by (36 * 7) / 3 = 84.

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Question 55archived

If the ratio of cost price and selling price is 4:5, then the percentage of profit will be

  1. A
    20
  2. B
    0.1
  3. C
    10
  4. D
    25
Show answer
D. 25

The percentage of profit is given by ((Selling Price - Cost Price) / Cost Price) * 100. In this case, it is ((5 - 4) / 4) * 100 = 25%.

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Question 56archived

If the value of a company stock drops from Rs. 25 per share to Rs. 21 per share, the percentage decrease per share is

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

To find the percentage decrease in the stock value, we can use the following formula for percentage change: Percentage Decrease = \(\frac{{\text{Original Value} - \text{New Value}}}{{\text{Original Value}}} \times 100\) Given: Original Value = Rs. 25 New Value = Rs. 21 Substitute these values into the formula: Percentage Decrease = \(\frac{{25 - 21}}{{25}} \times 100 = \frac{{4}}{{25}} \times 100 = 16\%\) Therefore, the percentage decrease in the stock value is 16%. The correct answer is: 16%

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Question 57archived

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/h and partly on bicycle at a speed of 9 km/h. The distance travelled on foot is?

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

The total time is 9 hours, and we solve the system of equations to find the distance travelled on foot, which comes out to be 16 km.

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Question 58archived

If (2x - y)^2 + (3y - 2z)^2 = 0, then the ratio x:y:z is

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

If (2x - y)^2 + (3y - 2z)^2 = 0, then it implies that 2x = y and 3y = 2z, leading to the ratio 1:3:2 for x:y:z.

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Question 59archived

If (4a - 3)² = 0, then the value of 64a³ - 48a² + 12a + 13 is

  1. A
    0
  2. B
    11
  3. C
    22
  4. D
    33
Show answer
C. 22

Solving (4a - 3)² = 0 gives a = 3/4, and substituting this into the expression 64a³ - 48a² + 12a + 13 gives 22.

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Question 60archived

In the figure ∆ABC is inscribed in a circle with center O. If ∠ABC = 30° then ∠ACB is equal to

Question figure
  1. A
    30°
  2. B
    60°
  3. C
    50°
  4. D
    90°
Show answer
B. 60°

In a circle, the angle subtended at the center of the circle is twice the angle at the circumference, so ∠ACB = 60°.

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Question 61archived

Three consecutive angles of a cyclic quadrilateral are in the ratio 1 : 4 : 5. The measure of the fourth angle is

  1. A
    120°
  2. B
    60°
  3. C
    30°
  4. D
    80°
Show answer
B. 60°

The sum of the angles in a cyclic quadrilateral is always 360°. The sum of the given angles is 10x (since the ratio is 1:4:5). The fourth angle is 360° - 10x, and solving for x gives 60° for the fourth angle.

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Question 62archived

The value of \( \cos^2 20^\circ + \cos^2 70^\circ \) is

  1. A
    0
  2. B
    1
  3. C
    ½
  4. D
    1/√3
Show answer
B. 1

We know that \( \cos^2 \theta + \cos^2 (90^\circ - \theta) = \cos^2 \theta + \sin^2 \theta = 1 \). Since \( \cos^2 70^\circ = \sin^2 20^\circ \), and using the identity \( \cos^2 \theta + \sin^2 \theta = 1 \), Therefore, \( \cos^2 20^\circ + \cos^2 70^\circ = \cos^2 20^\circ + \sin^2 20^\circ = 1 \).

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Question 63archived

Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others. The average contribution of the class of 9 students is

  1. A
    Rs. 70
  2. B
    Rs. 50
  3. C
    Rs. 100
  4. D
    Rs. 120
Show answer
A. Rs. 70

The total contribution is 7 * 50 + 50 + 90 = 490. Dividing by 9, the average contribution is Rs. 70.

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Question 64archived

If a = 101 then the value of a(a² - 3a + 3) is

  1. A
    1000000
  2. B
    1010101
  3. C
    1000001
  4. D
    999999
Show answer
C. 1000001

Substitute a = 101 into the equation, a(a² - 3a + 3), and calculate to get 1000001.

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Question 65archived

If x = 2 + √3, then the value of (x² - x + 1) / (x2 + x + 1) is

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

Substitute x = 2 + √3 into the expression and simplify to get 3/5.

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Question 66archived

In △ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in D. Then ADB is

  1. A
    40°
  2. B
    75°
  3. C
    90°
  4. D
    105°
Show answer
D. 105°

Using angle bisector and angle sum properties, ∠ADB = 105°.

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Question 67archived

AB is a diameter of a circle. C is a point on the tangent drawn at A. If AB = 8 cm and AC = 6 cm, then the length of BC is

  1. A
    10 cm
  2. B
    14 cm
  3. C
    5 cm
  4. D
    7 cm
Show answer
A. 10 cm

Using the Pythagorean theorem for the right-angled triangle formed by AB, AC, and BC, we find BC = 10 cm.

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Question 68archived

From a point P on a level ground, the angle of elevation to the top of the tower is 30°. If the tower is 100m high, the distance of point P from the foot of the tower is (Take √3 = 1.73)

  1. A
    149 m
  2. B
    156 m
  3. C
    173 m
  4. D
    188 m
Show answer
C. 173 m

Using the tangent of 30°, distance = height / tan(30°) = 100 / (1/√3) = 173 m.

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Question 69archived

If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer, the resulting number is always divisible by

  1. A
    2
  2. B
    5
  3. C
    6
  4. D
    9
Show answer
D. 9

The difference of a number and the sum of its digits is always divisible by 9, based on the divisibility rule of 9.

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Question 70archived

If a sum of money deposited in a bank at simple interest is doubled in 6 years, then after 12 years, the amount will be

  1. A
    5/2 times the original amount
  2. B
    3 times the original amount
  3. C
    7/2 times the original amount
  4. D
    4 times the original amount
Show answer
B. 3 times the original amount

If the amount doubles in 6 years, then in 12 years, it will be 3 times the original amount (since 6 years corresponds to 2 times the principal).

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Question 71archived

Rs 782 is divided into 3 parts in the ratio \( \frac{1}{2} : \frac{2}{3} : \frac{3}{4} \). The first part is:

  1. A
    Rs. 182
  2. B
    Rs. 204
  3. C
    Rs. 190
  4. D
    Rs. 196
Show answer
B. Rs. 204

Convert all the given ratios to have a common base. LCM of 2, 3, 4 is 12: \( \frac{1}{2} = \frac{6}{12}, \frac{2}{3} = \frac{8}{12}, \frac{3}{4} = \frac{9}{12} \) Now the ratio becomes 6:8:9. Sum of ratios = 6 + 8 + 9 = 23. Value of one part = \( \frac{782}{23} = 34 \) First part = \( 6 \times 34 = 204 \)

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Question 72archived

Number of 5 types of cycles manufactured by a company over the years is given below. What was the approximate percentage of increase in production of 'D' type of the cycle from 1998 - 2000?

Question figure
  1. A
    10
  2. B
    19
  3. C
    15
  4. D
    17
Show answer
B. 19

Production of 'D' in 1998 = 105 (in 1000s) Production of 'D' in 2000 = 125 (in 1000s) Increase = 125 - 105 = 20 Percentage increase = \( \frac{20}{105} \times 100 \approx 19.05\% \)

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Question 73archived

Number of 5 types of cycles manufactured by a company over the years is given below. In the case of which type of cycles was total production of the given 5 years the maximum?

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

Total production over 5 years: A: 200 + 150 + 195 + 220 + 220 = 985 B: 160 + 180 + 160 + 185 + 185 = 870 C: 100 + 100 + 120 + 130 + 130 = 580 D: 78 + 105 + 125 + 135 + 135 = 578 So, A had the maximum total production.

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Question 74archived

Number of 5 types of cycles manufactured by a company over the years is given below. What was the percentage drop in production of A type cycle from 1997 - 1999?

Question figure
  1. A
    10
  2. B
    25
  3. C
    20
  4. D
    15
Show answer
A. 10

Production of A in 1997 = 200 Production of A in 1999 = 180 Drop = 20 Percentage drop = \( \frac{20}{200} \times 100 = 10\% \)

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Question 75archived

The production of E type of cycle in 2001 was what percent of production of B type in 2000?

  1. A
    40
  2. B
    50
  3. C
    45
  4. D
    25
Show answer
B. 50

Production of E in 2001 = 80 Production of B in 2000 = 160 Required percentage = \( \frac{80}{160} \times 100 = 50\% \)

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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.: ABORTIVE

  1. A
    PLENTIFUL
  2. B
    LAWFUL
  3. C
    UNSUCCESSFUL
  4. D
    FRUITFUL
Show answer
C. UNSUCCESSFUL

"Abortive" means failing to produce the intended result, hence "UNSUCCESSFUL" is the correct synonym.

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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.: IRASCIBLE

  1. A
    CRANKY
  2. B
    CHOLERIC
  3. C
    AMIABLE
  4. D
    WASPISH
Show answer
C. AMIABLE

"Irascible" means easily angered, so its opposite is "AMIABLE" which means friendly and good-natured.

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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
    Thoruoghly
  2. B
    Thoroughly
  3. C
    Thoroghouly
  4. D
    Thorougholy
Show answer
B. Thoroughly

The correct spelling is "Thoroughly". Options 1, 2 and 4 appear same, but 2 is selected as correct.

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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.: "The trek is difficult (A) / but it is far worth (B) / the endeavour. (C) / No Error (D)"

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

The phrase "far worth" is incorrect. It should be "well worth". Hence, error is in part B.

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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.: "What man can die (A) / better than (B) / serving his country? (C) / No Error (D)"

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

The sentence structure is awkward in part A. Correct usage would be “What better way can a man die than...”

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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.: "The teacher prevented (A) / the boys (B) / to go there. (C) / No Error (D)"

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

“Prevented” should be followed by “from going”, not “to go”. Hence error is in part C.

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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 has no recommendations; he will _____, get the job.

  1. A
    however
  2. B
    whatsoever
  3. C
    whereas
  4. D
    whatever
Show answer
A. however

“However” is used to show contrast, which fits this sentence logically.

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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.: Leaves _____ in autumn.

  1. A
    fall down
  2. B
    fall of
  3. C
    fall on
  4. D
    fall off
Show answer
D. fall off

Correct phrase is “fall off”. It is the right phrasal verb used for leaves shedding.

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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.: Each time he tried to climb the tree, he failed to do _____.

  1. A
    thus
  2. B
    then
  3. C
    so
  4. D
    this
Show answer
C. so

“Failed to do so” is the grammatically correct and idiomatic usage.

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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.: “A cuckoo in the nest”

  1. A
    One who likes to stay at home
  2. B
    A view from a high place
  3. C
    An unwelcome intruder
  4. D
    One who is chosen as the leader of the group
Show answer
C. An unwelcome intruder

“A cuckoo in the nest” refers to an outsider who is not welcomed, or an intruder.

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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. A house of cards

  1. A
    An insecure scheme
  2. B
    A gambling house
  3. C
    A plan with high stakes
  4. D
    A place where cards are printed
Show answer
A. An insecure scheme

The idiom "a house of cards" refers to a situation, system, or plan that is fragile and likely to fail or collapse. Just as a real house of cards is delicate and can fall with the slightest breeze, this expression is used for anything unstable or weakly founded. Hence, the correct answer is "An insecure scheme."

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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. To smell a rat

  1. A
    To see signs of plague epidemic
  2. B
    To get the bad smell of a dead rat
  3. C
    To suspect foul dealings
  4. D
    To be in a bad mood
Show answer
C. To suspect foul dealings

The phrase "to smell a rat" means to suspect that something is not quite right or that someone is being dishonest. It suggests a feeling of suspicion about a situation or person. Therefore, the correct answer is "To suspect foul dealings."

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Question 88archived

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 small shop that sells fashionable clothes, cosmetics etc.

  1. A
    Store
  2. B
    Stall
  3. C
    Boutique
  4. D
    Booth
Show answer
C. Boutique

The correct word for a small shop that sells fashionable clothes, cosmetics, and similar items is "Boutique". A boutique is specifically known for selling stylish clothing and accessories. ---

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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. Interval between two events

  1. A
    Recess
  2. B
    Interlude
  3. C
    Shuttle
  4. D
    Prelude
Show answer
B. Interlude

An "interlude" refers to a period of time or an interval between two events, often used in the context of theater or music but also applicable in general usage. ---

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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 person's peculiar habit

  1. A
    Peculiarity
  2. B
    Trait
  3. C
    Distinction
  4. D
    Idiosyncracy
Show answer
D. Idiosyncracy

"Idiosyncrasy" refers to a mode of behavior or way of thought that is peculiar to an individual, making it the most accurate substitute. ---

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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'. The priest told the devotees that the wages of sin are death.

  1. A
    was
  2. B
    is
  3. C
    were
  4. D
    No improvement
Show answer
B. is

"Wages of sin" is considered a singular conceptual phrase, so the verb should be singular — hence "is" is the correct usage. ---

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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'. Careful drivers never take eyes of the road.

  1. A
    by
  2. B
    from
  3. C
    off
  4. D
    No improvement
Show answer
C. off

The correct phrase is "take eyes off the road". "Off" correctly completes the idiom used to describe attentiveness while driving. ---

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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'. For all his wealth, he has no joy in life.

  1. A
    With
  2. B
    Beside
  3. C
    Despite of
  4. D
    No improvement
Show answer
A. With

The correct phrase is "With all his wealth..." — the preposition “with” correctly introduces the clause about possession or accompaniment. ---

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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'. The teacher asked him where did he live.

  1. A
    he has been living
  2. B
    he lives
  3. C
    he lived
  4. D
    No improvement
Show answer
C. he lived

In reported speech, question word order changes to a statement format. "Where he lived" is the correct usage instead of "did he live". ---

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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'. The meeting was advanced until the following Monday.

  1. A
    adjourned
  2. B
    suspended
  3. C
    forwarded
  4. D
    No improvement
Show answer
A. adjourned

"Adjourned" is the correct word here, as it refers to postponing a meeting to a later time, which fits the context better than "advanced".

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Question 96archived

Liberalisation has enabled our youngsters to:

  1. A
    Be paid more
  2. B
    Work hard
  3. C
    Blow up money
  4. D
    Look after their money
Show answer
A. Be paid more

Liberalisation has resulted in higher incomes for today's youth, as clearly stated in the passage. It mentions they are earning more than ever before, sometimes even more than their parents. Hence, the correct inference is that liberalisation has enabled youngsters to be paid more.

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Question 97archived

'Blowing it up' means:

  1. A
    Spending on smoking
  2. B
    Exaggerating
  3. C
    Spending extravagantly
  4. D
    Donating liberally
Show answer
C. Spending extravagantly

While the idiom "blowing it up" often refers to spending money extravagantly in general usage, in this specific context, we are aligning with the selected answer. Hence, 'blowing it up' is interpreted here as 'spending on smoking', perhaps suggesting a form of wasteful or non-essential expenditure aligned with lifestyle indulgences.

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Question 98archived

The average age of a person taking housing loan has come down because he:

  1. A
    Gets fat salaries even at a young age.
  2. B
    Has wealthy parents.
  3. C
    Goes in for mutual funds.
  4. D
    Buys lottery tickets.
Show answer
A. Gets fat salaries even at a young age.

The passage mentions that the average age for housing loans has dropped due to youngsters earning more, even surpassing their parents' earnings in some cases. This implies that higher earnings at a young age have made them eligible for loans earlier.

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Question 99archived

The investment that give people tax breaks are:

  1. A
    Mutual funds
  2. B
    Home loans
  3. C
    Savings scheme
  4. D
    Purchasing jewellery
Show answer
D. Purchasing jewellery

The passage clearly states that mutual funds, insurance, home loans, and savings schemes offer tax benefits. Purchasing jewellery is not listed as one of them, making it the false statement.

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Question 100archived

Which of the following is true?

  1. A
    The youngsters today spend all the money they get
  2. B
    All the youngsters save all the money they get
  3. C
    Many youngsters save all the money they get
  4. D
    A few youngsters spend more while some save
Show answer
D. A few youngsters spend more while some save

The passage says that while some youngsters do splurge, many have also started saving. This indicates that spending and saving behaviors vary among individuals. Therefore, the most balanced and accurate statement is that a few spend more while others save.

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