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SSC CGL 2016 · 2016-09-04 · Shift 1

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

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Question 1archived

Select the related word/letters/number from the given alternatives. Play: Actor:: Concert:?

  1. A
    Symphony
  2. B
    Musician
  3. C
    Piano
  4. D
    Percussion
Show answer
B. Musician

A play is performed by an actor, and a concert is performed by a musician. Therefore, the correct answer is Musician.

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Question 2archived

Select the related word/letters/number from the given alternatives. EGIK : FILO :: FHJL : ?

  1. A
    JGMP
  2. B
    JGPM
  3. C
    GJMP
  4. D
    GMJP
Show answer
C. GJMP

EGIK: FILO has a pattern where the letters are progressing in alphabetical order. Similarly, the answer to this pattern is "GJMP".

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Question 3archived

Select the related word/letters/number from the given alternatives. 583 : 295 :: 486 : ?

  1. A
    291
  2. B
    378
  3. C
    487
  4. D
    581
Show answer
B. 378

The relationship between 583 and 295 involves a subtraction of 288. Similarly, subtracting 288 from 486 gives the result of 378.

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Question 4archived

Find the odd word/letters/number pair from the given alternatives. (A) Fire (B) Light (C) Gas (D) Water

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

Water is the only one that does not belong with the rest, as Fire, Light, and Gas are all forms of energy, whereas Water is a liquid.

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Question 5archived

Find the odd word/letters/number pair from the given alternatives. (A) ECBY (B) RTUX (C ) GEDA (D) WUTQ

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

The letters in option B do not follow the same pattern as the others, making it the odd one out.

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Question 6archived

Find the odd word/letters/number pair from the given alternatives. 52-61 (A) 43-54 (B) 72-83 (C) 18-29 (D)

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

The other pairs are following a consistent difference of 9, while option A is not.

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Question 7archived

Arrange the following words as per order in the dictionary. 1. Fraudulent 2. Fraught 3. Fraternity 4. Franchise 5. Frantic

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

Based on the alphabetical order, the correct arrangement is: Franchise, Frantic, Fraternity, Fraudulent, Fraught.

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Question 8archived

Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? H__JH__IJHHI__HH__JH

  1. A
    I H J I
  2. B
    H I H I
  3. C
    I H I J
  4. D
    H J H J
Show answer
A. I H J I

To solve the problem, we need to fill in the blanks in the letter series "H__JH__IJHHI__HH__JH" using one set of the given options so that the sequence is complete and logical. Let's examine the correct option: I H J I. 1. Start with the original series: H__JH__IJHHI__HH__JH. 2. Insert the letters sequentially from the option "I H J I" into the gaps: First gap: H I JH__IJHHI__HH__JH Second gap: HIJH H IJHHI__HH__JH Third gap: HIJHHIJHH J HI__HH__JH Fourth gap: HIJHHIJHHJHI I HH__JH 3. The completed series is: HIJH HIJHH IJHI HJH. 4. Now, observe the completed sequence: HIJH-HIJH-HIJH-HJH. The sequence now repeats consistently with the subpattern "HIJH". Thus, the correct sequence that completes the series in a logical pattern is achieved by choosing the set of letters: I H J I

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Question 9archived

Which number will complete the series? 63, 72, 81, 90, ____, 108

  1. A
    80
  2. B
    99
  3. C
    100
  4. D
    117
Show answer
B. 99

The series increments by 9 each time. 63 + 9 = 72, 72 + 9 = 81, 81 + 9 = 90, so 90 + 9 = 99.

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Question 10archived

Rajiv is the brother of Arun. Sonia is the sister of Sunil. Arun is the son of Sonia. How is Rajiv related to Sunil?

  1. A
    nephew
  2. B
    son
  3. C
    brother
  4. D
    father
Show answer
A. nephew

Rajiv is the brother of Arun, and Arun is the son of Sonia. Since Sonia is Sunil's sister, Rajiv is Sunil's nephew.

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Question 11archived

A mother is five times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.

  1. A
    20 years
  2. B
    22 years
  3. C
    25 years
  4. D
    29 years
Show answer
C. 25 years

Let the daughter's present age be x years. Then the mother's present age will be 5x years. After 5 years, the daughter's age will be (x + 5) and the mother's age will be (5x + 5). According to the given condition, 5x + 5 = 3(x + 5). Solving this equation gives x = 5. Therefore, the mother's present age is 5 * 5 = 25 years.

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Question 12archived

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

  1. A
    MOUNT
  2. B
    CEMENT
  3. C
    PAVEMENT
  4. D
    NOUN
Show answer
C. PAVEMENT

The word "PAVEMENT" cannot be formed using the letters of "PRONOUNCEMENT" as it requires more "V"s than are available in the given word.

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Question 13archived

If SYSTEM is written as RXRSDL, How can CORRECT be written in that code?

  1. A
    BNQQDBS
  2. B
    BQQNDBS
  3. C
    BNQQBDS
  4. D
    BNQDQBS
Show answer
A. BNQQDBS

The pattern is: Replace the first letter by one letter before it in the alphabet, and the second by one letter after it, and so on. Applying this pattern to CORRECT gives BNQDBS.

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Question 14archived

If A means +, B means x, C means –, D means ÷, then the value of given equation will be? 9A2B6D4C2

  1. A
    16
  2. B
    19
  3. C
    27
  4. D
    30
Show answer
B. 19

Using the given operations: 9 + 2 × 6 ÷ 4 – 2. This simplifies to 9 + 12 ÷ 4 – 2 = 9 + 3 – 2 = 19.

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Question 15archived

If, 4x3=14; 5x4=18; 6x5=22; Then find the value of 7x6=?

  1. A
    20
  2. B
    26
  3. C
    30
  4. D
    42
Show answer
B. 26

The pattern is: 4 × 3 + 2 = 14, 5 × 4 + 2 = 18, 6 × 5 + 2 = 22. So, 7 × 6 + 2 = 26.

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Question 16archived

Select the missing number from the given responses: 7 56 8 9 45 ? 11 99 9

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

For each pair, the first number is multiplied by itself and the second number gives the result. So, 9 × 5 = 45 and 11 × 9 = 99, so the missing number is 5.

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Question 17archived

Rita travelled 35 km from a point towards South and then turned left and travelled 20 km and finally turned left again and travelled 35 km. In which direction is she from the starting point?

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

Rita first travels South, then turns left (East), then turns left again (North), but she ends up at the same position on the East side. Therefore, she is in the East direction from the starting point.

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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 statements. Statement: To achieve economic development, people should work hard. Conclusions: I. Economic development is directly related to people’s hardwork. II. Working hard by all the people is impossible.

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

Conclusion I follows because economic development is directly related to hard work. Conclusion II does not follow as hard work is possible by all people.

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Question 19archived

Find the number of triangles in the figure.

Question figure
  1. A
    12
  2. B
    18
  3. C
    22
  4. D
    26
Show answer
B. 18

The figure contains 18 triangles formed by different combinations of smaller and larger triangles.

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Question 20archived

Which of the answer figures best represents the relation between: Shirt, Garments, Clothes

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

The best representation is Figure 1 as a shirt is a type of garment, and garments are a type of clothes, so the circle hierarchy correctly represents this relationship.

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Question 21archived

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

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

The pattern in the question shows a symmetrical star with several lines. To complete the figure, the missing parts should form a continuation of the intersecting lines in the pattern. The correct answer is option 4 as it accurately fills in the missing segments to complete the star pattern symmetrically.

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Question 22archived

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

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

The question figure contains a pattern resembling two arcs above a rounded shape. Option 1 is the correct answer as the question figure is embedded within the design of option 1, matching the curved shapes and symmetry.

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Question 23archived

A piece of paper is folded and punched as shown below in 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
C. Option C (shown in image)

The folding pattern in the question shows that the paper is folded in a way that aligns the holes symmetrically. When opened, the punched holes will align in a specific pattern, which corresponds to option 3. The arrangement of holes is clearly visible in option 3, making it the correct answer.

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Question 24archived

The mirror image of a word is seen as given below. What is the actual word?

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

The question shows the mirror image of the word "MARINE." To find the actual word, we need to reverse the mirror image, which gives "MARINE." Option 4 matches this exact word, making it the correct answer.

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Question 25archived

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., B can be represented by 00,13, etc. A can be represented by 55,69, etc. You have to identify the set for the word 'LION'.

Question figure
  1. A
    03, 55, 76, 33
  2. B
    11, 65, 77, 22
  3. C
    23, 79, 85, 43
  4. D
    11, 88, 99, 22
Show answer
D. 11, 88, 99, 22

The word 'LION' is represented by a specific set of numbers from the given matrices. After analyzing the row and column positions for each letter in the word 'LION' from Matrix-I and Matrix-II, the correct answer is option 4, which correctly represents the word 'LION' with the corresponding number set '11, 88, 99, 22'.

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Question 26archived

Besides CO2, the other green house gas is

  1. A
    CH4
  2. B
    N2
  3. C
    Ar
  4. D
    O2
Show answer
A. CH4

The other greenhouse gas besides CO2 is methane, CH4, which has a much higher heat-trapping ability. Methane contributes significantly to global warming.

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Question 27archived

National Income of India is compiled by

  1. A
    Finance Commission
  2. B
    Indian Statistical Institute
  3. C
    National Development Council
  4. D
    Central Statistical Organization
Show answer
D. Central Statistical Organization

The Central Statistical Organization (CSO) compiles the National Income of India by calculating and estimating the GDP and other economic indicators of the country.

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Question 28archived

The power of the Supreme Court of India to decide disputes between the Centre and the States falls under its

  1. A
    Advisory jurisdiction
  2. B
    Original jurisdiction
  3. C
    Appellate jurisdiction
  4. D
    Jurisprudence
Show answer
B. Original jurisdiction

The power to decide disputes between the Centre and States falls under the Supreme Court’s Original Jurisdiction as per Article 131 of the Indian Constitution.

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Question 29archived

The word 'Satyameva Jayate' have been derived from which Upanishad?

  1. A
    Akshi Upanishad
  2. B
    Mundaka Upanishad
  3. C
    Garuda Upanishad
  4. D
    Mahavakya Upanishad
Show answer
B. Mundaka Upanishad

The phrase 'Satyameva Jayate' is derived from the Mundaka Upanishad, which means "Truth alone triumphs."

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Question 30archived

When Granite rocks get metamorphosed, they form

  1. A
    Quartzite
  2. B
    Gneiss
  3. C
    Marble
  4. D
    Slate
Show answer
B. Gneiss

Granite rocks, when subjected to high pressure and temperature, undergo metamorphism to form Gneiss, a foliated metamorphic rock.

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Question 31archived

Which of the following is a commercial source of energy?

  1. A
    Agricultural waste
  2. B
    Dried dung
  3. C
    Sun
  4. D
    Natural gas
Show answer
D. Natural gas

Natural gas is a commercial source of energy as it is widely used for heating, electricity generation, and as an industrial fuel.

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Question 32archived

Backward bending supply curve belongs to which market?

  1. A
    Capital
  2. B
    Labour
  3. C
    Money
  4. D
    Inventories
Show answer
B. Labour

The backward bending supply curve is associated with the labour market, where an increase in wages beyond a certain point leads to a decrease in labour supply due to increased leisure preference.

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Question 33archived

In IT, associative memory is called as

  1. A
    Virtual memory
  2. B
    Cache memory
  3. C
    Content addressable memory
  4. D
    Main memory
Show answer
C. Content addressable memory

In IT, associative memory is known as Content Addressable Memory (CAM), where data is accessed based on content rather than address.

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Question 34archived

Addition of suitable impurities into semiconductor, is called

  1. A
    Doping
  2. B
    Mixing
  3. C
    Forming
  4. D
    Diluting
Show answer
A. Doping

When suitable impurities are added to semiconductors to alter their properties, the process is called doping, which is crucial in semiconductor devices like transistors.

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Question 35archived

Kyoto Protocol is associated with

  1. A
    Species conservation
  2. B
    Climate change
  3. C
    Wetland Conservation
  4. D
    Medicinal plants
Show answer
B. Climate change

The Kyoto Protocol is an international treaty aimed at combating climate change by reducing greenhouse gas emissions.

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Question 36archived

Ebrahim Alkazi is an eminent personality in which one of the following areas?

  1. A
    Heart surgery
  2. B
    Civil aviation
  3. C
    Theatre
  4. D
    Painting
Show answer
C. Theatre

Ebrahim Alkazi is renowned for his contributions to theatre as an eminent director, educator, and personality in the Indian theatre scene.

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Question 37archived

Skoda, which launched sedan 'Rapid', is an automobile manufacturer based in

  1. A
    Japan
  2. B
    France
  3. C
    South Korea
  4. D
    Czech Republic
Show answer
D. Czech Republic

Skoda is an automobile manufacturer based in the Czech Republic, known for its cars like the 'Rapid' sedan.

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Question 38archived

Sattriya is a classical dance form of __________

  1. A
    Manipur
  2. B
    Uttar Pradesh
  3. C
    Assam
  4. D
    Andhra Pradesh
Show answer
C. Assam

Sattriya is a classical dance form originating from Assam, performed to devotional music in temples and festivals.

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Question 39archived

P.V. Sindhu defeated Wang Yihan to enter the semi-final of women's singles of badminton at the Rio Olympics. Wang Yihan belongs to __________

  1. A
    Indonesia
  2. B
    Taiwan
  3. C
    China
  4. D
    Japan
Show answer
C. China

Wang Yihan is a Chinese badminton player who faced P.V. Sindhu in the Rio Olympics 2016, where Sindhu won.

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Question 40archived

If a budget is defeated in the legislature of a state then

  1. A
    The Finance Minister alone has to resign
  2. B
    The Finance Minister concerned has to be suspended
  3. C
    The council of Ministers along with the Chief Minister has to resign
  4. D
    Re-election have to be ordered
Show answer
C. The council of Ministers along with the Chief Minister has to resign

If the budget is defeated in the legislature of a state, the entire Council of Ministers, including the Chief Minister, has to resign according to constitutional norms.

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Question 41archived

Which one of the following papers was edited by Gandhiji in South Africa?

  1. A
    Indian Opinion
  2. B
    Harijan
  3. C
    Young India
  4. D
    Indian Mirror
Show answer
A. Indian Opinion

Gandhiji edited the 'Indian Opinion' during his time in South Africa, which focused on the issues of the Indian community there.

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Question 42archived

In which of the following cities India's first water metro project was recently launched?

  1. A
    Kolkata
  2. B
    Kochi
  3. C
    Vishakhapatnam
  4. D
    Mumbai
Show answer
B. Kochi

The first water metro project in India was launched in Kochi, aimed at improving water-based transportation.

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Question 43archived

Meibomian glands are located in

  1. A
    Eye
  2. B
    Ear
  3. C
    Nose
  4. D
    Skin
Show answer
A. Eye

Meibomian glands are located in the eye and are responsible for secreting oils that lubricate the eye surface.

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Question 44archived

In which city is India's first Post Office ATM opened?

  1. A
    Chennai
  2. B
    New Delhi
  3. C
    Hyderabad
  4. D
    Mumbai
Show answer
A. Chennai

India's first Post Office ATM was opened in Chennai, making banking more accessible to the public through postal services.

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Question 45archived

Arsenic problem in India is primarily due to

  1. A
    Overexploitation of coal in Bihar and Bengal
  2. B
    Overexploitation of arsenopyrite in the hinterland
  3. C
    Overexploitation of ground water in the affected areas
  4. D
    Overexploitation of surface water in the affected areas
Show answer
C. Overexploitation of ground water in the affected areas

The major cause of the arsenic problem in India is overexploitation of groundwater in the affected areas, leading to the release of arsenic into the water. Thus, the correct answer is Overexploitation of ground water in the affected areas.

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Question 46archived

Men's Singles Wimbledon Championship 2016, is bagged by

  1. A
    Andy Murray
  2. B
    Milos Ravnic
  3. C
    Roger Federer
  4. D
    Novak Djokovic
Show answer
A. Andy Murray

Andy Murray won the Men's Singles Wimbledon Championship in 2016, defeating Milos Raonic in the final to claim his second Wimbledon title.

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Question 47archived

Which of the following vitamins are water soluble?

  1. A
    Vit. A & Vit. B
  2. B
    Vit. B & Vit. C
  3. C
    Vit. C & Vit. D
  4. D
    Vit. A & Vit. K
Show answer
B. Vit. B & Vit. C

Vitamins B and C are water-soluble. These vitamins dissolve in water and are not stored in the body, so they need to be replenished regularly.

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Question 48archived

In terms of economics, if it is possible to make someone better-off without making someone worse-off, then the situation is

  1. A
    Inefficient
  2. B
    Efficient
  3. C
    Optimal
  4. D
    Pareto-superior
Show answer
D. Pareto-superior

This situation describes a Pareto-superior outcome, where the welfare of at least one individual is improved without making anyone else worse off.

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Question 49archived

Green House Effect' means

  1. A
    Pollution in houses in tropical region
  2. B
    Prevention of ultra-violet radiation by the ozone layer
  3. C
    Trapping of solar energy due to atmospheric gases
  4. D
    Damage to green painted buildings
Show answer
C. Trapping of solar energy due to atmospheric gases

The Greenhouse Effect refers to the trapping of solar energy in Earth's atmosphere by gases such as carbon dioxide, methane, and water vapor, which leads to global warming.

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Question 50archived

General Dyer, who was responsible for Jallianwala Bagh massacre, was shot dead by?

  1. A
    Hasrat Mohini
  2. B
    Vir Savarkar
  3. C
    Udham Singh
  4. D
    Jatin Das
Show answer
C. Udham Singh

Udham Singh shot and killed General Dyer in 1940 to avenge the massacre at Jallianwala Bagh, which had a lasting impact on India's freedom struggle.

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Question 51archived

X can do a piece of work in 'p' days and Y can do the same work in 'q' days. Then the number of days in which X and Y can together do that work is

  1. A
    (p + q)/2
  2. B
    1/p+1/q
  3. C
    pq/ (p + q)
  4. D
    pq
Show answer
C. pq/ (p + q)

To find the number of days that X and Y can do the work together, we need to determine their combined rate of work. X can complete the work in 'p' days, meaning the rate of work for X is 1/p of the work per day. Similarly, Y can complete the work in 'q' days, which gives Y a rate of 1/q of the work per day. The combined rate of work when X and Y work together is the sum of their individual rates: 1/p + 1/q To add these fractions, we first find a common denominator, which is 'pq'. Therefore, the combined rate can be expressed as: (q + p)/pq To find the time taken for X and Y to complete the work together when combined rates are know, we take the reciprocal of their combined rate. Thus, the number of days X and Y together can complete the work is: pq / (p + q) Hence, the correct answer is pq / (p + q).

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Question 52archived

A shopkeeper marks his goods 40% above the cost price and allows a discount of 25% on it. His gain % is

  1. A
    5%
  2. B
    10%
  3. C
    15%
  4. D
    20%
Show answer
A. 5%

Let the cost price be Rs. 100. The marked price will be Rs. 140 (40% above). The shopkeeper gives a 25% discount, so the selling price becomes Rs. 105. The gain is Rs. 5, which gives a 5% profit.

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Question 53archived

The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5. The ratio of their ages after 21 years will be

  1. A
    14:17
  2. B
    17:19
  3. C
    11:12
  4. D
    10:11
Show answer
D. 10:11

Let the current ages of the boys be 3x and 4x. After 3 years, the ratio becomes (3x + 3) / (4x + 3) = 4 / 5. Solving for x gives x = 3. Their ages after 21 years will be 14 and 17, i.e., the ratio is 10:11.

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Question 54archived

The cost price of 25 books is equal to the selling price of 20 books. The profit percent is

  1. A
    20%
  2. B
    22%
  3. C
    24%
  4. D
    25%
Show answer
D. 25%

Let the cost price of each book be Rs. x. The cost price of 25 books is 25x, and the selling price of 20 books is 20y. Since the cost price of 25 books equals the selling price of 20 books, we have 25x = 20y. The profit is y - x, and profit percentage is 25%.

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Question 55archived

One number is 25% of another number. The larger number is 12 more than the smaller. The large number is

  1. A
    48
  2. B
    16
  3. C
    4
  4. D
    12
Show answer
B. 16

Let the smaller number be x. The larger number is 1.25x. We are given that the larger number is 12 more than the smaller, so 1.25x = x + 12. Solving for x gives x = 16, so the larger number is 16.

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Question 56archived

A train 500 m long, running at a uniform speed, passes a station in 35 sec. If the length of the platform is 221 m, the speed of the train in km/hr is

  1. A
    721/35
  2. B
    74.16
  3. C
    24.76
  4. D
    78.54
Show answer
B. 74.16

Speed = (Distance / Time). The distance covered by the train is the sum of its own length (500 m) and the length of the platform (221 m), i.e., 721 m. The time taken is 35 sec. Converting to km/hr, the speed is 74.16 km/hr.

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Question 57archived

If the simple interest on Rs. 400 for 10 years is Rs. 280, then rate of interest per annum is

  1. A
    7%
  2. B
    7 ½%
  3. C
    7 ¼%
  4. D
    8 ½%
Show answer
A. 7%

Simple interest formula is: SI = (P * R * T) / 100. Given SI = 280, P = 400, and T = 10, solving for R gives the rate of interest as 7% per annum.

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Question 58archived

If a + b =2c, then the value of \(\frac{a}{a-c} + \frac{c}{b-c} \) is equal to (where a ≠ b ≠ c )

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

Using the given condition a + b = 2c, the expression simplifies to 1, as the terms cancel out to give the value 1.

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Question 59archived

If \(x + \frac{1}{x} = 5, \) then the value of \(\frac{x}{1+x+ x^{2} } \) is

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

Using the equation x + 1/x = 5, the value of the expression can be simplified to 5 by substitution and simplifying.

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Question 60archived

G and AD are respectively the centroid and median of the triangle ABC. The ratio AG:AD is

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

In a triangle, the centroid divides the median in the ratio 2:1. Therefore, the ratio of AG:AD is 2:3.

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Question 61archived

A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its

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

When a point is equidistant from the vertices of a triangle, it is the circumcentre, which is the center of the circumcircle of the triangle.

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Question 62archived

If sinθ + cosθ = 1, then the sinθ cosθ is equal to

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

From the identity (sin²θ + cos²θ = 1), if sinθ + cosθ = 1, it follows that sinθ cosθ = 0.

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Question 63archived

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

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

Let the first term be a and the common difference be d. The nth term of an AP is given by Tn = a + (n-1)d. Solving the equation using the condition, we find the 18th term to be 0.

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Question 64archived

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)

  1. A
    35
  2. B
    36
  3. C
    38
  4. D
    39
Show answer
C. 38

The total age of the 8 teachers before the death of the teacher is 8 * 40 = 320. After the death and replacement, the new total age is 320 - 55 + 39 = 304. Dividing by the number of teachers gives the new average age as 38 years.

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Question 65archived

If \(\frac{ a^{2} }{b+c} = \frac{ b^{2} }{c+a} = \frac{ c^{2} }{a+b} = 1 \), then t=find the value of \(\frac{2}{1+a} + \frac{2}{1+b} + \frac{2}{1+c} \)

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

If a² = b² = c², the expression simplifies to a known identity, and the value is 2.

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Question 66archived

If \(2x + \frac{2}{x} = 3\), then the value of \(x^{3} + \frac{1}{ x^{3} } + 2\) is

  1. A
    3/4
  2. B
    4/5
  3. C
    5/8
  4. D
    7/8
Show answer
D. 7/8

From the given equation, solving for x and using the identity for x³ + 1/x³, we find the answer is 7.

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Question 67archived

Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is

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

Using the formula for the length of the transverse common tangent between two circles, the length is 8 cm.

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Question 68archived

In ΔABC if the median AD = 1/2 BC, then ∠BAC is

  1. A
    90°
  2. B
    45°
  3. C
    60°
  4. D
    75°
Show answer
A. 90°

If the median AD divides BC into two equal parts, then the triangle is a right triangle and ∠BAC is 90°.

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Question 69archived

If \(\frac{ \sin \theta + \cos \theta }{ \sin \theta - \cos \theta } = 3\), then the value of \(\sin ^{4} \theta - \cos ^{4} \theta \) is

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

Using the identity sin⁴θ - cos⁴θ = (sin²θ + cos²θ)(sin²θ - cos²θ), we can solve for the value of sin⁴θ - cos⁴θ, which is 3/5.

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Question 70archived

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

  1. A
    5√5 cm
  2. B
    5√3 cm
  3. C
    5√15 cm
  4. D
    5√10 cm
Show answer
C. 5√15 cm

The formula for the curved surface area of the cone is πr² and for the sphere, it is 4πr². Equating the areas, solving for r gives the radius of the sphere as 5√15 cm.

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Question 71archived

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 meters towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is

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

Using trigonometric relations for angles of elevation, the height of the tower is calculated as 10√3 meters.

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Question 72archived

If the price of gold in 2013 is Rs. 31,500 per 10 gram, then the price of gold in 2011 per 10 gram is

Question figure
  1. A
    Rs.17000
  2. B
    Rs.17500
  3. C
    Rs.18000
  4. D
    Rs.18500
Show answer
B. Rs.17500

Using the pie chart and calculating the proportion of the price of gold in 2011 relative to 2013, we find the price of gold in 2011 to be Rs.17500.

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Question 73archived

The ratio of the price of gold in the two years 2010 and 2013 is

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

From the pie chart, the ratio of the price of gold in 2010 and 2013 is found to be 1:3.

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Question 74archived

The percentage of increase in the price of gold from the year 2011 to 2013 is

Question figure
  1. A
    50%
  2. B
    60%
  3. C
    70%
  4. D
    80%
Show answer
D. 80%

The percentage increase in the price of gold from 2011 to 2013 is calculated to be 80% based on the pie chart data.

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Question 75archived

The ratio of percentage of increase in price of gold from 2011 to 2012 and 2012 to 2013 is

Question figure
  1. A
    6:5
  2. B
    7:5
  3. C
    8:5
  4. D
    9:5
Show answer
B. 7:5

From the pie chart, the percentage increase in the price of gold from 2011 to 2012 is compared to the increase from 2012 to 2013, resulting in a ratio of 7:5.

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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. EXAGGERATE

  1. A
    MAGNIFY
  2. B
    IMAGINE
  3. C
    REINFORCE
  4. D
    RETIRATE
Show answer
A. MAGNIFY

EXAGGERATE means to MAGNIFY, to make something appear larger or more important than it is.

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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. GREGARIOUS

  1. A
    UNSOCIABLE
  2. B
    UNSYMPATHETIC
  3. C
    UNGRATEFUL
  4. D
    UNATTRACTIVE
Show answer
A. UNSOCIABLE

GREGARIOUS means sociable, and the opposite would be UNSOCIABLE, meaning not sociable.

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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
    Serendipty
  2. B
    Serendipity
  3. C
    Serndipity
  4. D
    Sernidipity
Show answer
B. Serendipity

The correctly spelt word is "Serendipity".

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Question 79archived

In the following question, 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. Considering the (A) gravity of the problems (B) an early reply has expected (C) / No Error (D)

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

The correct sentence should be "an early reply is expected", so the error is in part C.

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Question 80archived

In the following question, 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 Statesman has (A) larger circulation (B) of all English dailies (C) / No Error (D)

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

The correct sentence should be "The Statesman has a larger circulation", so the error is in part B.

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Question 81archived

In the following question, 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. I am very anxious (A) to know how are you (B) and mother are doing (C) / No Error (D)

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

The correct structure should be "I am very anxious to know how you and mother are doing." The error is in part B.

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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, choose the correct alternative and click the button corresponding to it. Everything ______ carefully checked.

  1. A
    has been
  2. B
    have been
  3. C
    are being
  4. D
    is been
Show answer
A. has been

The correct option is "has been". The sentence should be "Everything has been carefully checked."

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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, choose the correct alternative and click the button corresponding to it. I've ______ finished painting the house.

  1. A
    about
  2. B
    nearing
  3. C
    towards
  4. D
    almost
Show answer
D. almost

The correct word to complete the sentence is "almost". The sentence should be "I've almost finished painting the house."

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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, choose the correct alternative and click the button corresponding to it. She ______ made him angry.

  1. A
    have absolutely
  2. B
    has certainly
  3. C
    have certainly
  4. D
    has absolutely
Show answer
B. has certainly

The correct word to complete the sentence is "has certainly". The sentence should be "She has certainly made him angry."

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Question 85archived

In the question, 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. Burn your boats

  1. A
    Have a burning desire to win
  2. B
    Become extremely tired after working very hard
  3. C
    Do something that makes it impossible to return to the previous situation
  4. D
    Want to spend money as soon as you get it
Show answer
C. Do something that makes it impossible to return to the previous situation

The idiom "Burn your boats" means to do something that makes it impossible to return to the previous situation, such as committing to a course of action.

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Question 86archived

In the question, 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. Dressing-down

  1. A
    Apply bandage
  2. B
    Wear an expensive gown
  3. C
    Give a scolding
  4. D
    Pretend
Show answer
C. Give a scolding

"Dressing-down" means to give someone a scolding or reprimand.

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Question 87archived

In the question, 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. Null and void

  1. A
    Invalid
  2. B
    Observant
  3. C
    Uncontrolled
  4. D
    Homeless
Show answer
A. Invalid

"Null and void" means invalid or not legally effective.

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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. Write or carve words on stone or paper

  1. A
    Sketch
  2. B
    Imprint
  3. C
    Affix
  4. D
    Inscribe
Show answer
D. Inscribe

"Inscribe" means to write or carve words on stone or paper.

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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. Unable to pay one's debt

  1. A
    Insolvent
  2. B
    Impute
  3. C
    Indebt
  4. D
    Obligate
Show answer
A. Insolvent

"Insolvent" means unable to pay one's debt.

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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. Trouble and annoy continually

  1. A
    Complaint
  2. B
    Harass
  3. C
    Punish
  4. D
    Oppress
Show answer
B. Harass

"Harass" means to trouble or annoy continually.

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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 Chairman's harsh words like insult to injury to the embarrassed speaker.

  1. A
    added
  2. B
    evoked
  3. C
    invoked
  4. D
    No improvement
Show answer
A. added

The correct phrase is "The Chairman's harsh words added insult to injury," meaning the harsh words made the situation worse.

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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. He is off sorts today.

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

The correct phrase is "He is out of sorts today," meaning he is not feeling well or is upset.

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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. She told to me the news.

  1. A
    said me
  2. B
    said to me
  3. C
    told me
  4. D
    No improvement
Show answer
C. told me

The correct phrase is "She told me the news," meaning she informed me about the news.

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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. The philanthropist bestowed a lakh to the orphanage.

  1. A
    granted
  2. B
    parted with
  3. C
    donated
  4. D
    No improvement
Show answer
C. donated

"Bestowed" is often used interchangeably with "donated" in this context, meaning to give generously.

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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. There are a better ways of solving the problem.

  1. A
    There are different ways of solving a problem.
  2. B
    There is a better way of looking at the problem.
  3. C
    There are better ways of solving the problem.
  4. D
    No improvement
Show answer
C. There are better ways of solving the problem.

The correct sentence is "There are better ways of solving the problem," as "better ways" requires the plural verb "are."

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Question 96archived

The artist uses make-up to strengthen the features, particularly eyes and mouth, and to add life like colours to the face for the actor who is playing ______ .

  1. A
    the lead role
  2. B
    the old man or woman
  3. C
    his own age
  4. D
    the role of the clown
Show answer
C. his own age

The artist is applying make-up to strengthen the features of the actor who is playing their own age, not a specific role like an old man or clown.

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Question 97archived

What do artists use to help young actors playing old men?

  1. A
    Wig and moustache
  2. B
    Hats and hairdos
  3. C
    Wheel chairs and walking sticks
  4. D
    False noses, enlarged eyebrows or scars
Show answer
B. Hats and hairdos

Artists use hats and hairdos to help young actors play the role of old men, as mentioned in the passage.

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Question 98archived

What is the correct sequence for make-up?

  1. A
    Modelling the face by highlighting and shadowing then applying a base colour
  2. B
    Highlighting and shadowing, then applying a base colour and modelling the face
  3. C
    Applying a base colour, then modelling the face by highlighting and shadowing
  4. D
    Shadowing and modelling, then applying a base colour for highlighting
Show answer
C. Applying a base colour, then modelling the face by highlighting and shadowing

The correct sequence for make-up, as described, is applying a base colour first, then modelling the face by highlighting and shadowing.

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Question 99archived

Lines are drawn with a dark make-up pencil or brush to suggest ______ .

  1. A
    dimples
  2. B
    wrinkles
  3. C
    smiles
  4. D
    pimples
Show answer
B. wrinkles

Lines are drawn to suggest wrinkles, which is common for character make-up, particularly for older characters.

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Question 100archived

When is powder usually applied?

  1. A
    Before the make-up
  2. B
    As make-up foundation
  3. C
    After the make-up
  4. D
    During the make-up
Show answer
C. After the make-up

According to the passage, powder is applied after the make-up is complete.

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