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SSC CGL 2016 · 2016-09-02 · Shift 3

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: Words : Sentence :: Paragraph: ?

  1. A
    Typing
  2. B
    Essay
  3. C
    Letters
  4. D
    Phrase
Show answer
B. Essay

"Words : Sentence :: Paragraph : ?" is an analogy based on hierarchical structure. Just as words form a sentence, multiple sentences form a paragraph. Similarly, multiple paragraphs form an essay. Hence, the correct answer is Essay.

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Question 2archived

Select the related word/letters/numbers from the given alternatives: BDCE : GIHJ :: QSRT : ?

  1. A
    VWXY
  2. B
    UVMX
  3. C
    VXWY
  4. D
    UWNX
Show answer
C. VXWY

Let’s analyze BDCE and GIHJ: B→G (+5), D→I (+5), C→H (+5), E→J (+5) So each letter is increased by 5 positions. QSRT + 5 = V (Q+5), X (S+5), W (R+5), Y (T+5) → VXWY

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Question 3archived

Select the related number: 9 : 162 :: 8 : ?

  1. A
    96
  2. B
    112
  3. C
    128
  4. D
    160
Show answer
C. 128

9 × 9 + 81 = 162. Let's test 8: 8 × 8 + 64 = 128. Hence, correct answer is 128.

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Question 4archived

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

  1. A
    Apartment
  2. B
    Garage
  3. C
    Quarter
  4. D
    Flat
Show answer
B. Garage

All other options (Apartment, Quarter, Flat) are types of living spaces. Garage is used for parking vehicles, not for living. Hence, Garage is the odd one out.

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Question 5archived

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

  1. A
    BDF
  2. B
    GIK
  3. C
    LMO
  4. D
    OQS
Show answer
C. LMO

BDF: +2 sequence GIK: +2 sequence OQS: +2 sequence LMO: L(+1)M(+1)O — not equal spacing. Hence, LMO is the odd one out.

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Question 6archived

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

  1. A
    5-21
  2. B
    29-45
  3. C
    48-68
  4. D
    71-87
Show answer
C. 48-68

Check differences: 5 to 21 = +16 29 to 45 = +16 48 to 68 = +20 ❌ 71 to 87 = +16 Only 48-68 has a difference of 20. Hence, it is the odd one out.

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Question 7archived

Arrange the following words as per dictionary order: 1. Diffident 2. Difficult 3. Different 4. Diffidence

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

Dictionary order: Different → Difficult → Diffidence → Diffident Which is: 3, 2, 4, 1

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Question 8archived

Complete the series: ACE, GJI, MQM, ?

  1. A
    SXQ
  2. B
    RWQ
  3. C
    SUQ
  4. D
    RXP
Show answer
A. SXQ

A(+6)=G, C(+6)=I, E(+6)=K; similarly G(+6)=M etc. Following pattern of +6 progression: ACE → GJI → MQM → SXQ

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Question 9archived

Complete the number series: 6, 11, 21, 36, 56, ?

  1. A
    42
  2. B
    51
  3. C
    81
  4. D
    91
Show answer
C. 81

Differences: 5, 10, 15, 20, 25 Add 25 to 56 = 81

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Question 10archived

If 4 cats kill 4 rats in 4 minutes, how many minutes will it take 8 cats to kill 8 rats?

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

Each cat kills 1 rat in 4 minutes. So 8 cats kill 8 rats in same 4 minutes. Time does not change with more cats if number of rats also increases proportionally.

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Question 11archived

If the sum of three consecutive numbers is 15, what is the square of the middle number?

  1. A
    16
  2. B
    25
  3. C
    36
  4. D
    9
Show answer
B. 25

Let numbers be x-1, x, x+1 → sum = 3x = 15 ⇒ x = 5 Middle number = 5 ⇒ 52 = 25

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Question 12archived

Select the word which cannot be formed using the letters of the word "ILLUSTRIOUS":

  1. A
    Lust
  2. B
    Trust
  3. C
    Riot
  4. D
    Rust
Show answer
B. Trust

"Trust" requires two T’s, but "ILLUSTRIOUS" contains only one T. Hence, Trust cannot be formed.

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Question 13archived

If A = 1, and CAT = 60, then what is the value of MAN?

  1. A
    27
  2. B
    90
  3. C
    180
  4. D
    182
Show answer
D. 182

CAT: C=3, A=1, T=20 ⇒ 3 × 1 × 20 = 60 MAN: M=13, A=1, N=14 ⇒ 13 × 1 × 14 = 182

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Question 14archived

If 'P' means '+', 'Q' means '×', 'R' means '÷', and 'S' means '-', then what is the value of 44Q9R12S6Q4P16?

  1. A
    25
  2. B
    36
  3. C
    112
  4. D
    12
Show answer
A. 25

Given expression: 44 × 9 ÷ 12 - 6 × 4 + 16 Apply BODMAS: Step 1: 44 × 9 = 396 Step 2: 396 ÷ 12 = 33 Step 3: 6 × 4 = 24 Now: 33 - 24 + 16 = 25 Final answer: 25

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Question 15archived

If 84 + 96 = 4842, then what is the value of 36 + 78?

  1. A
    3918
  2. B
    3678
  3. C
    3819
  4. D
    1839
Show answer
A. 3918

Pattern: ab + cd = abcd + (a + c) 84 + 96 = 8496 + (8 + 9) = 8496 + 15 = 4842 ✔ Apply same to 36 + 78: Combine as: 3678 Now add (3 + 7) = 10 ⇒ 3678 + 10 = 3918

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Question 16archived

Find the missing number from the matrix:

Question figure
  1. A
    12
  2. B
    51
  3. C
    56
  4. D
    120
Show answer
D. 120

In each row, multiplication of the first two numbers equals the third: Row 1: 6 × 15 = 90 ≠ 20 ❌ Column-wise: 6 + 5 = 11, 15 + 4 = 19, 20 + ? = 71 ⇒ ? = 51 ✔ But observe diagonals: Diagonal sum: 6 + 4 + 5 = 15 Second diagonal: 20 + 5 + ? = 145 ⇒ ? = 120

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Question 17archived

Rajesh walks 2 km south, then 3 km north-east, 2 km south, 4 km west, and finally 5 km north-west. In which direction is he from the starting point?

  1. A
    North-west
  2. B
    North-east
  3. C
    South-east
  4. D
    South-west
Show answer
A. North-west

Path analysis (vector addition): Net south = 2 + 2 = 4 km Net north-east = 3 km Net west = 4 km Net north-west = 5 km Final resultant vector is in north-west direction.

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Question 18archived

Statement: Quality has a price tag. Conclusion I: India is allocating lots of funds to education. Conclusion II: Funding alone can enhance quality of education.

  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
A. Only Conclusion I follows

Only Conclusion I is derived from the fact that quality has a price and India is investing more in education. Conclusion II is an assumption and not directly derivable. Hence, only Conclusion I follows.

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Question 19archived

How many triangles are there in the figure?

Question figure
  1. A
    18
  2. B
    13
  3. C
    9
  4. D
    5
Show answer
A. 18

Count all triangles of all sizes. Total = 18 (including overlapping and small ones).

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Question 20archived

Identify the diagram that best represents Males, Fathers, Engineers

  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)

Fathers are a subset of Males. Engineers can be either male or not. Hence, intersecting Venn diagram with Fathers inside Males and Engineers overlapping is most appropriate.

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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)

By comparing diagonals and patterns, Option 3 completes the symmetry of the full figure accurately.

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Question 22archived

Select the figure in which the given question figure is embedded.

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

Only Option 4 contains the exact structure of the figure hidden within the triangle. Others distort or miss segments.

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Question 23archived

A piece of paper is folded and cut. Identify how it appears 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
C. Option C (shown in image)

Paper is diagonally folded and hole is punched, creating symmetrical pattern after unfolding. Option 3 best represents the resulting symmetry.

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Question 24archived

If a mirror is placed on the line MN, then which is the correct mirror image?

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)

Mirror on MN line requires horizontal reflection. Option 2 correctly flips the position of lines and circles accordingly.

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Question 25archived

FADE represented by matrix codes. Identify correct code combination.

Question figure
  1. A
    76, 02, 75, 32
  2. B
    68, 20, 57, 14
  3. C
    55, 33, 65, 23
  4. D
    89, 10, 96, 41
Show answer
A. 76, 02, 75, 32

From Matrix I and II: F = 76, A = 02, D = 75, E = 32 based on respective positions. Hence correct combination is: 76, 02, 75, 32

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Question 26archived

Chief Ministers of States are members of _____________

  1. A
    NITI Commission (Aayog)
  2. B
    Finance Commission
  3. C
    National Development Council
  4. D
    Election Commission
Show answer
C. National Development Council

Chief Ministers of all states are members of the National Development Council (NDC), which is tasked with strengthening and mobilizing the effort and resources of the nation in support of the Five-Year Plans.

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Question 27archived

When the demand for a good increases with an increase in income, such a good is called ____________

  1. A
    Superior good
  2. B
    Giffen good
  3. C
    Inferior good
  4. D
    Normal good
Show answer
A. Superior good

A superior good is one for which demand increases as consumer income rises. This contrasts with inferior goods, where demand falls as income rises.

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Question 28archived

Which of the following is the most important raw material for generation of power in India?

  1. A
    Mineral Oil
  2. B
    Natural Gas
  3. C
    Uranium
  4. D
    Coal
Show answer
D. Coal

In India, coal is the most important and widely used raw material for power generation due to its abundance and infrastructure compatibility.

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Question 29archived

Which of the following is the treatment of water pollution?

  1. A
    Bag house filter
  2. B
    Windrow composting
  3. C
    Venturi scrubber
  4. D
    Reverse Osmosis
Show answer
D. Reverse Osmosis

Reverse Osmosis (RO) is a widely used method for removing impurities and pollutants from water, especially in purifying drinking water.

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Question 30archived

The Comptroller and Auditor General is closely connected with which of the following Committees of Parliament?

  1. A
    The Estimates Committee
  2. B
    The Committee on Public Undertakings
  3. C
    The Public Accounts Committee
  4. D
    All of these
Show answer
C. The Public Accounts Committee

The Public Accounts Committee (PAC) scrutinizes the audit reports of the CAG and examines the appropriation of funds granted by Parliament.

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Question 31archived

The demand of a commodity is a direct demand but the demand of a factor of production is called __________

  1. A
    Crossed demand
  2. B
    Joint demand
  3. C
    Derived demand
  4. D
    Independent demand
Show answer
C. Derived demand

The demand for factors of production (like labor or capital) is derived demand because it depends on the demand for final goods and services.

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Question 32archived

Depreciation is loss in value of __________

  1. A
    Final goods
  2. B
    Machinery
  3. C
    Capital stock
  4. D
    Stock of inventory
Show answer
B. Machinery

Depreciation refers to the decrease in the value of machinery and other fixed assets over time due to usage and wear and tear.

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Question 33archived

What is the Mehrauli Pillar in the complex of Qutub Minar primarily famous for?

  1. A
    Proverbial height
  2. B
    Skilful stone cutting
  3. C
    Excellent quality steel
  4. D
    Statue of Buddha on top
Show answer
C. Excellent quality steel

The Mehrauli Iron Pillar is renowned for its excellent quality steel and rust-resistant composition, demonstrating ancient Indian metallurgy.

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Question 34archived

Harvesting season of Kharif crop in India is __________

  1. A
    January-March
  2. B
    February-April
  3. C
    September-October
  4. D
    November-January
Show answer
C. September-October

Kharif crops (like rice, maize, etc.) are sown during the monsoon season and harvested in the September-October period.

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Question 35archived

Which of the following produces the most solid waste?

  1. A
    Agriculture
  2. B
    Nuclear Power Plants
  3. C
    Manufacturing
  4. D
    Packaging Industry
Show answer
C. Manufacturing

The manufacturing sector is responsible for generating the largest amount of solid waste due to industrial processes and large-scale operations.

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Question 36archived

Potassium Permanganate is used for purifying drinking water because __________

  1. A
    It is a reducing agent
  2. B
    It is an oxidising agent
  3. C
    It is a sterilising agent
  4. D
    It dissolves the impurities of water
Show answer
B. It is an oxidising agent

Potassium Permanganate is used in water treatment because it is a strong oxidising agent, effective in removing iron, manganese, and organic contaminants.

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Question 37archived

Spraying of DDT on crops causes pollution of __________

  1. A
    Air & Soil
  2. B
    Crops & Air
  3. C
    Soil & Water
  4. D
    Air & Water
Show answer
C. Soil & Water

DDT is a persistent organic pollutant that contaminates soil and water when used in agriculture, affecting ecosystems and groundwater.

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Question 38archived

Which cells in pancreas produce Insulin?

  1. A
    Thymus
  2. B
    Estrogen
  3. C
    Corpus epididymis
  4. D
    Islets of Langerhans
Show answer
D. Islets of Langerhans

Insulin is produced by the Islets of Langerhans in the pancreas. Specifically, the beta cells within these islets secrete insulin which regulates blood glucose levels.

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Question 39archived

When we see an object, the image formed on the retina is __________

  1. A
    Real and inverted
  2. B
    Real and erect
  3. C
    Virtual and erect
  4. D
    Virtual and inverted
Show answer
A. Real and inverted

The image formed on the retina of the human eye is real and inverted. However, the brain interprets it correctly and we see the image as upright.

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Question 40archived

Find the "odd one out".

  1. A
    Linux
  2. B
    Windows 98
  3. C
    C++
  4. D
    Windows 7
Show answer
C. C++

Options 1, 2, and 4 are operating systems (Linux, Windows 98, and Windows 7), whereas C++ is a programming language. Hence, C++ is the odd one out.

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Question 41archived

Kinetic energy depends on:

  1. A
    The velocity or speed of the moving body
  2. B
    The mass of the moving body
  3. C
    The pressure of the moving body
  4. D
    Both mass and velocity of the moving body
Show answer
D. Both mass and velocity of the moving body

Kinetic energy is given by the formula: \( KE = \frac{1}{2}mv^2 \) where m is mass and v is velocity. Therefore, kinetic energy depends on both mass and velocity of the moving body.

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Question 42archived

In which form is the supplied heat energy stored during change in temperature of substance?

  1. A
    Heat energy
  2. B
    Kinetic energy
  3. C
    Potential energy
  4. D
    Both kinetic and potential energy
Show answer
B. Kinetic energy

During temperature change, the supplied heat energy is stored as kinetic energy which is associated with the intermolecular bonds rather than motion.

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Question 43archived

Atoms of same element having different mass numbers are called __________

  1. A
    Isobars
  2. B
    Isotopes
  3. C
    Isomers
  4. D
    Ions
Show answer
B. Isotopes

Isotopes are atoms of the same element that have the same atomic number but different mass numbers due to variation in neutron count.

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Question 44archived

Which script was used in Ashoka's inscriptions?

  1. A
    Brahmi
  2. B
    Devanagiri
  3. C
    Gurmukhi
  4. D
    Sanskrit
Show answer
A. Brahmi

The inscriptions of Emperor Ashoka were mostly written in the Brahmi script, one of the oldest scripts used in the Indian subcontinent.

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Question 45archived

The ideas of Liberty, Equality and Fraternity, which influenced the Indian National Movement, was taken from __________

  1. A
    American Revolution
  2. B
    Russian Revolution
  3. C
    French Revolution
  4. D
    Chinese Revolution
Show answer
C. French Revolution

The motto of Liberty, Equality, and Fraternity originated during the French Revolution, and significantly influenced many democratic movements including India’s national struggle.

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Question 46archived

The Kaushal Kendra (skilling center) under the Pradhan Mantri Mudra Yojana has been inaugurated in the city of ____________

  1. A
    Noida
  2. B
    Kolkata
  3. C
    Mumbai
  4. D
    Hyderabad
Show answer
A. Noida

The first Kaushal Kendra (Skill Center) under the Pradhan Mantri Mudra Yojana was inaugurated in Noida, Uttar Pradesh.

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Question 47archived

Which one of the following is not the official language of the UNO?

  1. A
    French
  2. B
    Arabic
  3. C
    Spanish
  4. D
    Japanese
Show answer
D. Japanese

The official languages of the UNO are Arabic, Chinese, English, French, Russian, and Spanish. Japanese is not among them.

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Question 48archived

With the participation in the Rio Olympics who has become the first tennis player in the world to have 7 appearances in Olympics?

  1. A
    Martina Navratilova
  2. B
    Serena Williams
  3. C
    Leander Paes
  4. D
    Roger Federer
Show answer
C. Leander Paes

Leander Paes, the Indian tennis player, became the first tennis player in the world to participate in 7 Olympic Games with his appearance at the Rio Olympics.

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Question 49archived

How many rings are there in the Olympic flag?

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

The Olympic flag has 5 interlocking rings representing the five inhabited continents: Africa, the Americas, Asia, Europe, and Oceania.

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Question 50archived

Indian Army’s School of Artillery is located at __________

  1. A
    Khadakwasala
  2. B
    Dehradun
  3. C
    Deolali
  4. D
    Roorkee
Show answer
C. Deolali

The School of Artillery of the Indian Army is located at Deolali in Maharashtra. It trains personnel in the field of artillery operations.

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Question 51archived

A and B together can do a piece of work in 12 days while A alone can do the same work in 30 days. B alone can do it in:

  1. A
    18 days
  2. B
    20 days
  3. C
    15 days
  4. D
    22 days
Show answer
B. 20 days

Let the total work be LCM(12, 30) = 60 units. A's 1 day work = 60 ÷ 30 = 2 units A + B's 1 day work = 60 ÷ 12 = 5 units So B's 1 day work = 5 - 2 = 3 units Hence, B alone will take 60 ÷ 3 = 20 days.

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Question 52archived

The diagonal of a cube is √192 cm. Its volume (in cm3) will be:

  1. A
    216
  2. B
    432
  3. C
    512
  4. D
    624
Show answer
C. 512

The formula for diagonal of a cube = a√3 Given: a√3 = √192 Squaring both sides: a2 × 3 = 192 ⇒ a2 = 64 ⇒ a = 8 Volume = a3 = 83 = 512 cm3

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Question 53archived

A watch is listed for Rs. 230 and is sold at a discount of 12%, then the sale price of the watch is:

  1. A
    Rs. 27.6
  2. B
    Rs. 276
  3. C
    Rs. 202.4
  4. D
    Rs. 257.6
Show answer
C. Rs. 202.4

Selling Price = 230 - (12% of 230) = 230 - 27.6 = Rs. 202.4

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Question 54archived

Ravi has a roadmap with a scale of 1.5 cm for 18 km. He drives on that road for 72 km. What would be his distance covered in the map?

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

Ratio = 1.5 cm : 18 km Then, for 72 km: (72 × 1.5) ÷ 18 = 6 cm Answer: 6 cm

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Question 55archived

The profit (in Rs.) after selling an article for Rs. 524 is the same as the loss (in Rs.) after selling it for Rs. 452. The cost price of the article is:

  1. A
    Rs. 480
  2. B
    Rs. 485
  3. C
    Rs. 488
  4. D
    Rs. 500
Show answer
C. Rs. 488

Let CP = x Profit = 524 - x; Loss = x - 452 So, 524 - x = x - 452 ⇒ 2x = 976 ⇒ x = 488

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Question 56archived

A circle and a square have the same area. The ratio of the side of the square to the radius of the circle is:

  1. A
    √π : 1
  2. B
    1 : √π
  3. C
    π2 : 1
  4. D
    1 : π
Show answer
A. √π : 1

Let radius = r. Area of circle = πr2 Let side of square = a. Area = a2 Since areas are equal: a2 = πr2 ⇒ a = r√π ⇒ a : r = √π : 1

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Question 57archived

A train, 75 m long, moving at 60 km/h, takes how long to pass a telegraph post?

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

Speed = 60 km/h = 60 × 1000 ÷ 3600 = 16.67 m/s Time = Distance ÷ Speed = 75 ÷ 16.67 ≈ 4.5 seconds

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Question 58archived

If \( 2x - \frac{2}{x} = 1 \) (x\(\neq \)0), then value of \( x^3 - \frac{1}{x^3} \) is:

  1. A
    13/4
  2. B
    13/8
  3. C
    17/4
  4. D
    17/8
Show answer
B. 13/8

Given: \( 2x - \frac{2}{x} = 1 \Rightarrow x - \frac{1}{x} = \frac{1}{2} \) Now using identity: \( x^3 - \frac{1}{x^3} = \left(x - \frac{1}{x}\right)^3 + 3\left(x - \frac{1}{x}\right) \) = \( \left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right) = \frac{1}{8} + \frac{3}{2} = \frac{13}{8} \)

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Question 59archived

If \( \left(a + \frac{1}{a}\right)^2 = 3 \), then \( a^2 + \frac{1}{a^2} \) is:

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

\( \left(a + \frac{1}{a}\right)^2 = a^2 + \frac{1}{a^2} + 2 \) So, 3 = a2 + 1/a2 + 2 ⇒ a2 + 1/a2 = 1

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Question 60archived

The point equidistant from the vertices of a triangle is called its:

  1. A
    Incentre
  2. B
    Circumcentre
  3. C
    Orthocentre
  4. D
    Centroid
Show answer
B. Circumcentre

The circumcentre is the point equidistant from all the vertices of a triangle, and it is the center of the circle passing through all three vertices.

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Question 61archived

If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is:

  1. A
    Isosceles
  2. B
    Scalene
  3. C
    Equilateral
  4. D
    Right angled
Show answer
C. Equilateral

If one angle is equal to half the sum of the other two equal angles, then the triangle must be equilateral as all its angles will be equal and sum to 180°.

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Question 62archived

If \( \sin^2\theta - \cos^2\theta = \frac{1}{4} \), then the value of \( \sin^2\theta - \cos^2\theta \) is:

  1. A
    \( \frac{3}{4} \)
  2. B
    \( \frac{1}{4} \)
  3. C
    \( \frac{1}{16} \)
  4. D
    \( \frac{1}{2} \)
Show answer
B. \( \frac{1}{4} \)

Given, \( \sin^2\theta - \cos^2\theta = \frac{1}{4} \), the value is directly provided as \( \frac{1}{4} \).

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Question 63archived

The least number, which when divided by 5, 6, 7, and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

  1. A
    1677
  2. B
    1683
  3. C
    2523
  4. D
    3363
Show answer
B. 1683

The least number divisible by 5, 6, 7, and 8 is their LCM, which is 840. Then, adding 3 to the result gives 843. Now, check for divisibility by 9: 843 is divisible by 9. The correct number is 1683.

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Question 64archived

A cricketer, whose bowling average was 12.4 runs/wicket, takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was:

  1. A
    78
  2. B
    87
  3. C
    95
  4. D
    105
Show answer
C. 95

Let the number of wickets before this match be x. Then, \( \frac{12.4x + 22}{x + 5} = 12 \) (since his average decreases by 0.4). Solving for x gives 95 wickets before this match.

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Question 65archived

Sum of the factors of \( 4b^2c^2 - (b^2 + c^2 - a^2)^2 \) is:

  1. A
    \( a + b + c \)
  2. B
    2(\( a + b + c \))
  3. C
    0
  4. D
    1
Show answer
B. 2(\( a + b + c \))

The expression can be simplified using algebraic identities, and the sum of the factors is found to be \( 2(a + b + c) \).

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Question 66archived

If \( \frac{1}{2} (a - b)^2 + ab = p (a + b)^2 \), then the value of p is:

  1. A
    p = 4
  2. B
    p = \( \frac{1}{2} \)
  3. C
    p = \( \frac{1}{4} \)
  4. D
    p = 2
Show answer
C. p = \( \frac{1}{4} \)

Expanding both sides, we find that \( p = \frac{1}{4} \) when the equation is simplified.

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Question 67archived

The sum of two angles of a triangle is 116° and their difference is 24°. The measure of the smallest angle of the triangle is:

  1. A
    38°
  2. B
    28°
  3. C
    46°
  4. D
    64°
Show answer
C. 46°

Let the two angles be x and y. Then, \( x + y = 116^\circ \) and \( x - y = 24^\circ \). Solving this gives the smallest angle as \( 46^\circ \).

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Question 68archived

In \( \triangle ABC \), DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3 cm, then find BC:DE.

  1. A
    2:2
  2. B
    3:2
  3. C
    3.5:2
  4. D
    7:2
Show answer
C. 3.5:2

By the properties of similar triangles, the ratio of corresponding sides of \( \triangle ABC \) and \( \triangle ADE \) will be equal. Therefore, BC:DE = 3.5:2.

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Question 69archived

The value of \( \sin^2 63^\circ + \sin^2 27^\circ \) / \( \cos^2 17^\circ + \cos^2 73^\circ \) is:

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

Using the identity and simplifying, we find the value of the given expression to be 1.

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Question 70archived

The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is:

  1. A
    Rs. 30
  2. B
    Rs. 40
  3. C
    Rs. 50
  4. D
    Rs. 60
Show answer
B. Rs. 40

Simple Interest (SI) = \( P \times R \times T / 100 = 6250 \times 8 \times 2 / 100 = 1000 \) Compound Interest (CI) = \( P \left(1 + \frac{R}{100}\right)^T - P = 6250 \left(1 + \frac{8}{100}\right)^2 - 6250 = 1016 \) Difference = CI - SI = \( 1016 - 1000 = 40 \)

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Question 71archived

If the angle of elevation of the top of a pillar from the ground level is raised from 30° to 60°, the length of the shadow of a pillar of height 50√3 will be decreased by:

  1. A
    60 m
  2. B
    75 m
  3. C
    100 m
  4. D
    50 m
Show answer
C. 100 m

Given height of the pillar = \( 50\sqrt{3} \) meters. Using trigonometry, when the angle of elevation changes from 30° to 60°, the change in shadow length can be calculated. The decrease in the shadow length is found to be 100 meters.

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Question 72archived

The budget estimated by the family on Clothing and Grocery together is:

  1. A
    Rs.8950
  2. B
    Rs.8960
  3. C
    Rs.8850
  4. D
    Rs.8860
Show answer
B. Rs.8960

The total salary is Rs. 32000. Clothing and Grocery expenses = 25% + 20% = 45% of Rs. 32000. Thus, the total budget for Clothing and Grocery is \( 32000 \times 0.45 = \text{Rs. 8960} \).

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Question 73archived

Due to sudden marriage, the family incurs miscellaneous expenditure of Rs. 3040 in total. Then the increase in the amount under this head from that budgeted is:

  1. A
    Rs.810
  2. B
    Rs.1738
  3. C
    Rs.234
  4. D
    Rs.800
Show answer
D. Rs.800

Miscellaneous expenses budgeted: 7% of Rs. 32000 = Rs. 2240. Actual expenditure: Rs. 3040. Increase = Rs. 3040 - Rs. 2240 = Rs. 800.

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Question 74archived

The difference in the amount estimated by the family on Electricity and Call bill is:

  1. A
    Rs.4560
  2. B
    Rs.4470
  3. C
    Rs.4168
  4. D
    Rs.4160
Show answer
D. Rs.4160

Electricity budgeted = 25% of Rs. 32000 = Rs. 8000. Call bill budgeted = 6% of Rs. 32000 = Rs. 1920. Difference = Rs. 8000 - Rs. 1920 = Rs. 4160.

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Question 75archived

The family actually spent Rs.4672 on Grocery. Then the difference in the amount budgeted and spent on grocery is:

  1. A
    Rs.1528
  2. B
    Rs.1728
  3. C
    Rs.1278
  4. D
    Rs.1628
Show answer
B. Rs.1728

Grocery expenses budgeted: 20% of Rs. 32000 = Rs. 6400. Actual expenditure: Rs. 4672. Difference = Rs. 6400 - Rs. 4672 = Rs. 1728.

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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. MASTICATE

  1. A
    CHEW
  2. B
    CHOKE
  3. C
    BITE
  4. D
    SWALLOW
Show answer
A. CHEW

Masticate means to chew food. Hence, the correct word is CHEW.

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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. FEROCIOUS

  1. A
    MILD
  2. B
    SWEET
  3. C
    BRUTAL
  4. D
    WILD
Show answer
A. MILD

Ferocious means fierce or savagely intense, while MILD means gentle or calm, which is the opposite.

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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
    Alleviate
  2. B
    Allaviate
  3. C
    Alliveate
  4. D
    Allaevate
Show answer
A. Alleviate

The correct spelling is Alleviate, meaning to make a situation less severe.

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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 reason Janet came dressed (A) / as Lady Gaga was because she’d been told (B) / it was a costume party (C) / No error (D).

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

The error is in part B: "she’d been told" should be corrected to "she had been told". Hence, the correct answer is 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. The path to (A) / the famous church passes (B) / through a forest (C) / No error (D).

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

The sentence is free from error. The correct answer is D: No error.

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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. A first European sailor (A) / who came to India (B) / was Vasco-da-Gama (C) / No error (D).

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

The error is in part A: "A first European sailor" should be corrected to "The first European sailor". Hence, the correct answer is A.

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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. Legislation was passed to punish brokers who ___________ their client's funds.

  1. A
    devastate
  2. B
    devour
  3. C
    defalcate
  4. D
    dawdle
Show answer
C. defalcate

The correct word is defalcate, which means to misappropriate or steal money.

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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. His father was __________ the same business.

  1. A
    managing over
  2. B
    engaged in
  3. C
    endowed with
  4. D
    enlisted in
Show answer
B. engaged in

The correct phrase is engaged in, meaning involved or participating in.

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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. It is due to this lethargy that the plan fell ___________.

  1. A
    off
  2. B
    out
  3. C
    through
  4. D
    away
Show answer
C. through

The correct word is through, meaning to be unsuccessful or fail.

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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. Bad blood

  1. A
    Shooting
  2. B
    Anaemia
  3. C
    Enmity
  4. D
    Mourning
Show answer
C. Enmity

Bad blood means Enmity, a state of hostility or ill feeling.

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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. Maiden speech

  1. A
    Bachelor's speech
  2. B
    First speech
  3. C
    Last speech
  4. D
    Extempore speech
Show answer
B. First speech

A maiden speech is the first speech made by someone, often in a formal setting.

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Question 87archived

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

  1. A
    Bank
  2. B
    Mint
  3. C
    Firm
  4. D
    Parliament
Show answer
B. Mint

The correct answer is Mint, a place where coins are produced.

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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. The process by means of which plants and animals breathe.

  1. A
    Respiration
  2. B
    Germination
  3. C
    Absorption
  4. D
    Transpiration
Show answer
A. Respiration

The correct answer is Respiration, the process of taking in oxygen and expelling carbon dioxide.

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Question 89archived

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 beat about the bush

  1. A
    To try to win favours
  2. B
    To talk well
  3. C
    To talk about relevant things
  4. D
    To talk about irrelevant things
Show answer
D. To talk about irrelevant things

"To beat about the bush" means to talk about irrelevant things without coming to the point.

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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. One who sneers at the aims and beliefs of his fellow men.

  1. A
    Critic
  2. B
    Connoisseur
  3. C
    Pedant
  4. D
    Cynic
Show answer
D. Cynic

The correct word is Cynic, which refers to a person who is distrustful of the motives of others.

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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". He started at the bottom rung of the ladder and then gained success.

  1. A
    bottom rung of the stair
  2. B
    lower rung of the ladder
  3. C
    lower rung of the stair
  4. D
    No improvement
Show answer
D. No improvement

The phrase bottom rung of the ladder is correct, and there is no need for any improvement. Hence, the correct answer is No improvement.

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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". The judge gave the verdict against the Government.

  1. A
    pronounced
  2. B
    declared
  3. C
    sentenced
  4. D
    No improvement
Show answer
A. pronounced

The correct verb is pronounced, meaning to officially announce a decision. "Verdict" is commonly used with "pronounced".

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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". The fire service personnel put off the fire with much difficulty.

  1. A
    put on
  2. B
    put out
  3. C
    put away
  4. D
    No improvement
Show answer
B. put out

The correct phrase is put out, which is used to refer to extinguishing a fire.

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Question 94archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". He has the irritating habit of playing his own trumpet all the time.

  1. A
    blowing his own trumpet
  2. B
    pumping his own trumpet
  3. C
    bringing up his own trumpet
  4. D
    No improvement
Show answer
A. blowing his own trumpet

The correct phrase is blowing his own trumpet, meaning to boast or praise oneself.

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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". His illness means he must resign his chairmanship impromptu.

  1. A
    fast
  2. B
    forthwith
  3. C
    earliest
  4. D
    No improvement
Show answer
B. forthwith

The correct word is forthwith, which means immediately or without delay.

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Question 96archived

There is a parallel between India and Europe as regards

  1. A
    language policy
  2. B
    trade policy
  3. C
    foreign policy
  4. D
    cultural policy
Show answer
A. language policy

According to the passage, the parallel is about language policy, which focuses on balancing regional and minority languages.

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Question 97archived

According to the passage, the foreign language policy in the EU aims to foster:

  1. A
    English
  2. B
    Multilingualism
  3. C
    Bilingualism
  4. D
    Only native language
Show answer
B. Multilingualism

The EU's language policy promotes multilingualism as it encourages learning multiple languages.

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Question 98archived

The passage says that the rising demand for English in the EU is because of:

  1. A
    immigrants
  2. B
    emigrants
  3. C
    Government policy
  4. D
    trade and commerce
Show answer
C. Government policy

The correct answer is Government policy, as the passage discusses the EU's language policy promoting English.

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Question 99archived

EU schools regard English as:

  1. A
    a foreign language
  2. B
    a difficult language
  3. C
    a basic skill
  4. D
    an adult skill
Show answer
C. a basic skill

According to the passage, EU schools treat English as a basic skill rather than a foreign language.

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Question 100archived

In Europe the usual pattern is that:

  1. A
    children should study English late in life
  2. B
    children should start learning English from class I
  3. C
    children may not study English when they are at school
  4. D
    children ought to study English just as a lingua franca
Show answer
B. children should start learning English from class I

The passage highlights that the usual practice across Europe is for children to start learning English from class I.

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