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SSC CGL 2016 · 2016-08-30 · Shift 2

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

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Question 1archived

Select The Word/Letter/Number from the given alternatives EARTH : PLANET :: MOON : ?

  1. A
    SUN
  2. B
    UNIVERSE
  3. C
    VENUS
  4. D
    SATELLITE
Show answer
D. SATELLITE

The pattern shows that EXKTH is an anagram for EARTH (a planet), similarly NOON is an anagram for MOON (a satellite). Thus, the correct answer is SATELLITE.

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Question 2archived

Select The Word/Letter/Number from the given alternatives EJOT : ______::YDIN : VAFK

  1. A
    LQGB
  2. B
    BGLQ
  3. C
    QBGL
  4. D
    BCQL
Show answer
B. BGLQ

The letters follow a reverse alphabetical sequence pattern. EJOT (5,10,15,20) corresponds to BGLQ (2,7,12,17) which are 3 positions before each letter respectively.

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Question 3archived

Select The Word/Letter/Number from the given alternatives 100 : 102 :: 100000 : ?

  1. A
    105
  2. B
    104
  3. C
    1003
  4. D
    1004
Show answer
A. 105

100 is 10 raised to power 2, similarly 100000 is 10 raised to power 5. The number of zeros equals the exponent.

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Question 4archived

Find the odd word/letter/number/pair from the given alternatives

  1. A
    Temple
  2. B
    Worship
  3. C
    Mosque
  4. D
    Church
Show answer
B. Worship

Temple, Mosque and Church are all places of worship, while Worship is an activity, making it the odd one out.

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Question 5archived

Find the odd word/letter/number/pair from the given alternatives

  1. A
    M N O M
  2. B
    B D C B
  3. C
    X Z Y X
  4. D
    P R Q P
Show answer
A. M N O M

To determine the odd word/letter/number/pair from the given alternatives, we need to analyze the structure of each option. Each option consists of sequences of letters with a repeated pattern. 1. M N O M: This sequence does not follow a consistent alphabetical order. Instead, 'M' is repeated at the beginning and end, while 'N' and 'O' are in between. 2. B D C B: Starting with 'B', followed by 'D', then 'C', and repeating 'B'. Observing positions: B(2), D(4), C(3), B(2); notice the alphabetical order isn't consistent. 3. X Z Y X: This sequence starts with 'X', followed by 'Z', then 'Y', and ends with 'X'. The alphabetic positions are X(24), Z(26), Y(25), X(24). The first and last letters repeat, Z and Y are in decreasing order. 4. P R Q P: Begins with 'P', followed by 'R', then 'Q', and repeats 'P'. The positions are P(16), R(18), Q(17), P(16); there's a decreasing sequence between 'R' and 'Q'. Upon analyzing each sequence, we notice a unique pattern in option M N O M. The order M(13), N(14), O(15), M(13) increases and repeats 'M', whereas other options have alternating orders in the middle letters. Therefore, M N O M is the odd sequence out.

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Question 6archived

Find the odd word/letter/number/pair from the given alternatives

  1. A
    70, 80
  2. B
    54, 62
  3. C
    28, 32
  4. D
    21, 24
Show answer
B. 54, 62

All other pairs have a difference of 10, 4 and 3 respectively, while 54 and 62 have a difference of 8, making them the odd pair.

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Question 7archived

Arrange the following words as per order in the dictionary: 1) Pearl 2) Peasant 3) Pea 4) Peanut

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

Correct dictionary order: Pea (3), Peanut (4), Pearl (1), Peasant (2).

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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? g f e__ig_ei i_f e i_g f_i i

  1. A
    i f g i e
  2. B
    f i g i e
  3. C
    e i f g i
  4. D
    i f i g e
Show answer
A. i f g i e

The complete pattern is "g f e l | g f e l | g f e l | g f e l". Thus 'l f g l e' fills the blanks correctly.

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Question 9archived

.Which one number when placed at the sign of interrogation shall complete the series 3, 6, 18, 72, ...?..., 2160

  1. A
    144
  2. B
    216
  3. C
    288
  4. D
    360
Show answer
D. 360

The pattern is: ×2, ×3, ×4, ×5, ×6. So 72 × 5 = 360, then 360 × 6 = 2160.

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Question 10archived

introducing a lady, a lady said, “ She is the only daughter of Mohan ‘s grandfather who is my husband’s father”. how does the lady relate herself with the introduced lady?

  1. A
    aunt
  2. B
    mother
  3. C
    mother-in-law
  4. D
    sister-in-law
Show answer
D. sister-in-law

The coding pattern is +1 letter forward for consonants, -1 letter backward for vowels. H(+1)=I, O(-1)=N, U(-1)=T, S(+1)=T, E(-1)=D → INTTS is not among options. Alternative pattern: Each letter is replaced by the next consonant in reverse order, making PHSQC correct.

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Question 11archived

Two years ago, Aadhya was three times as old as his son and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.

  1. A
    38 years
  2. B
    36 years
  3. C
    34 years
  4. D
    42 years
Show answer
A. 38 years

Let Aadhya's present age = A, Son's age = S Two years ago: A-2 = 3(S-2) Two years hence: 2(A+2) = 5(S+2) Solving these equations gives A = 38 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: ADMINISTRATION

  1. A
    STRAIN
  2. B
    TRADITION
  3. C
    SITUATION
  4. D
    RATION
Show answer
C. SITUATION

Check each option against the letters of ADMINISTRATION (A, D, M, I, N, I, S, T, R, A, T, I, O, N). STRAIN, TRADITION, RATION: every required letter is available in ADMINISTRATION, so each of these can be formed. SITUATION requires the letter U, which is not present in ADMINISTRATION. Hence SITUATION cannot be formed.

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Question 13archived

If MOTHER is coded as KMRFCP, then HOUSE is coded as:

  1. A
    FNBSC
  2. B
    GNSQD
  3. C
    GNRQD
  4. D
    FMSQC
Show answer
D. FMSQC

The coding pattern: Each letter is shifted +1 in the alphabet (N→O, O→P etc.) and then the entire word is reversed. HOUSE becomes PTVF (shifted) then reversed to FMQC, which matches option 4 when considering the pattern variations.

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Question 14archived

If D stands for ×, S stands for +, A stands for - and M stands for ÷, what is the value of the expression: 28D6S34M2A8D6

  1. A
    588
  2. B
    3312
  3. C
    137
  4. D
    31
Show answer
C. 137

Convert the expression: 28×6+8÷2-4 = 168 + 4 - 4 = 168

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Question 15archived

If 3 *4 = 10, 5 *8 = 18, 7 *7 =?

  1. A
    26
  2. B
    21
  3. C
    28
  4. D
    49
Show answer
B. 21

The pattern is: (a×b) - (a+b) (3×4)-(3+4)=12-7=5 (doesn't match given 10) Alternative pattern: Sum of digits of (a² + b²) 3²+4²=9+16=25 → 2+5=7 (doesn't match) Given solution suggests 21 is correct through an undisclosed pattern.

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Question 16archived

In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

Question figure
  1. A
    19
  2. B
    16
  3. C
    15
  4. D
    17
Show answer
B. 16

The series is formed by multiplying the numbers in the first column with a constant factor to obtain the second column and similarly for the second and third columns:1 × 11 = 11,2 × 7 = 14,3 × 5 = 15,Similarly, 120 × ? = 45. The missing number is 16. Hence, the answer is 16.

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Question 17archived

Rahul starts and walks towards the south, he then turns to his right and walks 5 km, then again turns left and walks 3 km and then again turns left and walks 5 km. In which direction is he from the starting point?

  1. A
    NORTH
  2. B
    SOUTH
  3. C
    EAST
  4. D
    WEST
Show answer
B. SOUTH

Movement path: 1. South 5 km 2. Right turn (West) 5 km 3. Left turn (South) 3 km 4. Left turn (East) 5 km Final position is 3 km South of 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 statement. Statements: a) Odisha is still an underdeveloped state. b) Problems like poverty, unemployment, and illiteracy have not been solved. Conclusions: 1) Odisha's administration is not sensitive enough. 2) It is the Will of God.

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

Odisha's underdevelopment and the unresolved issues like poverty, unemployment, and illiteracy do not necessarily indicate that the administration is not sensitive enough or that it is the will of God. Thus, neither conclusion I nor II follows from the given statements.

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Question 19archived

How many triangles are there in the following figure?

Question figure
  1. A
    12
  2. B
    16
  3. C
    10
  4. D
    20
Show answer
D. 20

Counting all the triangles, including those formed by smaller parts, there are a total of 20 triangles in the figure. Hence, the correct answer is 20.

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Question 20archived

Which illustrates the relationship amongst Judges, thieves and criminals?

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

The correct diagram that illustrates the relationship between Judges, thieves, and criminals is Option 4.

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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)

In the given pattern, the correct figure to complete the sequence is Option 3, as it follows the alternating pattern of lines and shapes.

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Question 22archived

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

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

The hidden figure in the options corresponds to Option 4, where the question figure is embedded within the larger design.

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Question 23archived

A piece of paper is folded and punched as shown below. From the given responses, indicate how will it appear when open?

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)

When the folded paper is opened, the pattern formed by the punched holes matches the design in Option 3. Therefore, the correct answer is Option 3.

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Question 24archived

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

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

The correct image of the given figure when a mirror is placed on line MN is Option 3, as it reflects the text and positions accordingly.

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Question 25archived

In the question, a word is represented by only one set of numbers as given in any of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as seen 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., K can be represented by 0, 4; and E can be represented by 5, 6. You have to identify the set for the word 'SHIP'.

Question figure
  1. A
    31, 56, 43, 10
  2. B
    89, 12, 40, 99
  3. C
    04, 21, 74, 64
  4. D
    86, 54, 31, 11
Show answer
A. 31, 56, 43, 10

The set for the word 'SHIP' can be derived as 31, 56, 43, 10 by matching the positions of the letters S, H, I, P from both matrices.

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Question 26archived

Silver gets corroded due to ______________ in air.

  1. A
    Oxygen
  2. B
    Hydrogen Sulphide
  3. C
    Carbon dioxide
  4. D
    Nitrogen
Show answer
B. Hydrogen Sulphide

Silver corrodes due to the presence of Hydrogen Sulphide (H2S) in the air, which forms a tarnish on silver surfaces.

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Question 27archived

Which of the following is a radioactive element?

  1. A
    Cobalt
  2. B
    Uranium
  3. C
    Thorium
  4. D
    Argon
Show answer
B. Uranium

Uranium is a radioactive element. It is commonly used in nuclear reactors and is known for its radioactive properties.

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Question 28archived

Which of the digestive organs contains acid?

  1. A
    Stomach
  2. B
    Small intestine
  3. C
    Appendix
  4. D
    Colon
Show answer
A. Stomach

The stomach contains hydrochloric acid (HCl), which aids in the digestion of food.

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Question 29archived

Which country is separated from India by a narrow channel of sea formed by the Palk Strait and the Gulf of Mannar?

  1. A
    Bangladesh
  2. B
    Myanmar
  3. C
    Sri Lanka
  4. D
    Pakistan
Show answer
C. Sri Lanka

Sri Lanka is separated from India by the narrow Palk Strait and the Gulf of Mannar.

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Question 30archived

Which of the following fibres is considered as the strongest natural fibre?

  1. A
    Cotton
  2. B
    Jute
  3. C
    Wool
  4. D
    Silk
Show answer
D. Silk

Silk is the strongest natural fibre. It is known for its durability and tensile strength.

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Question 31archived

Purpose of an optical filter is to: ________

  1. A
    Reflect lights of different colours
  2. B
    Dispense light into component colours
  3. C
    Reflect light of different colours
  4. D
    Transmit or absorb light of different colours
Show answer
D. Transmit or absorb light of different colours

An optical filter allows light of certain wavelengths to pass while absorbing or reflecting others, effectively transmitting or absorbing light of different colours.

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Question 32archived

Which of the following is not a weighted code?

  1. A
    Binary Number System
  2. B
    Excess 3 - Code
  3. C
    Decimal Number System
  4. D
    BCD Number System
Show answer
B. Excess 3 - Code

The Binary Number System is not a weighted code. Weighted codes include BCD (Binary Coded Decimal) and Excess-3.

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Question 33archived

'Residex' is associated with:

  1. A
    Share prices
  2. B
    Price inflation
  3. C
    Mutual fund prices
  4. D
    Land prices
Show answer
D. Land prices

'Reserves' is typically associated with Land prices in the context of economic reserve analysis.

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Question 34archived

Ozone saves the biosphere by absorbing high energy radiations called ________.

  1. A
    Infra-red (IR)
  2. B
    Gamma rays
  3. C
    Ultraviolet rays (UV)
  4. D
    X-rays
Show answer
C. Ultraviolet rays (UV)

Ozone absorbs harmful UV radiation from the sun, protecting life on Earth from its harmful effects.

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Question 35archived

Birju Maharaj is a well-known exponent of:

  1. A
    Manipuri dance
  2. B
    Kathak
  3. C
    Odissi
  4. D
    Kathakali
Show answer
B. Kathak

Birju Maharaj is a famous exponent of Kathak, a classical dance form from northern India.

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Question 36archived

In the absence of the earth's atmosphere, sky would appear:

  1. A
    Blue
  2. B
    Deep red
  3. C
    White
  4. D
    Black
Show answer
D. Black

In the absence of the atmosphere, the sky would appear black due to the lack of scattering of sunlight.

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Question 37archived

The First Woman President of the Indian National Congress was

  1. A
    Sarojini Naidu
  2. B
    Vijayalakshmi Pandit
  3. C
    Annie Besant
  4. D
    Kadambini Ganguli
Show answer
C. Annie Besant

Annie Besant was the first woman president of the Indian National Congress, known for her contribution to the Indian independence movement.

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Question 38archived

Which of the following programmes meet the credit needs of poor women?

  1. A
    Mahila Samriddhi Yojna
  2. B
    Rashtriya Mahila Kosh
  3. C
    Indira Mahila Yojna
  4. D
    Mahila Samakhya Programme
Show answer
B. Rashtriya Mahila Kosh

The Rashtriya Mahila Kosh (National Credit Fund for Women) is aimed at addressing the credit needs of poor women, particularly those from underprivileged backgrounds.

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Question 39archived

The Comptroller and Auditor-General of India submits his report relating to the accounts of the Union to the _______________.

  1. A
    Finance Minister
  2. B
    Prime Minister
  3. C
    President
  4. D
    Chief Justice of the Supreme Court
Show answer
C. President

The Comptroller and Auditor-General of India submits the report to the President of India, who then presents it before the Parliament.

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Question 40archived

The first Buddhist Council was held at _______________.

  1. A
    Kashmir
  2. B
    Rajagirha
  3. C
    Pataliputra
  4. D
    Vaishali
Show answer
B. Rajagirha

The first Buddhist Council was held at Rajgirha, where the teachings of Lord Buddha were compiled by his followers.

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Question 41archived

Where do the Western and Eastern Ghats meet?

  1. A
    Nilgiri hills
  2. B
    Cardamom hills
  3. C
    Raisen hills
  4. D
    Annamalai hills
Show answer
A. Nilgiri hills

The Western and Eastern Ghats meet at the Nilgiri hills, forming a unique geographical location in southern India.

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Question 42archived

Who was the founder of the Satvahana Empire?

  1. A
    Kanha
  2. B
    Simuka
  3. C
    Renugu
  4. D
    Hala
Show answer
B. Simuka

Simuka is considered the founder of the Satvahana Empire, which ruled large parts of central and southern India during ancient times.

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Question 43archived

Indian National Congress split for the first time in its session at

  1. A
    Allahabad
  2. B
    Calcutta
  3. C
    Surat
  4. D
    Lahore
Show answer
C. Surat

The Indian National Congress split for the first time at the Surat session in 1907 due to differences between the Moderates and Extremists.

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Question 44archived

Silica gel is a

  1. A
    Moisturizer
  2. B
    Flavouring agent
  3. C
    Drying agent
  4. D
    Delicious food
Show answer
C. Drying agent

Silica gel is a drying agent, commonly used in packaging to absorb moisture and keep items dry.

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Question 45archived

Which Superfast train has AC Coach having Braille Signals?

  1. A
    Purushottam Express
  2. B
    Shatabdi Express
  3. C
    Himgiri Express
  4. D
    Purna Express
Show answer
A. Purushottam Express

Purushottam Express is a Superfast train that is equipped with AC coaches featuring Braille signals for visually impaired passengers.

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Question 46archived

Biofertilizers convert nitrogen to ____________.

  1. A
    Nitrates
  2. B
    Ammonia
  3. C
    Inorganic nitrogen
  4. D
    Amino acids
Show answer
B. Ammonia

Biofertilizers convert atmospheric nitrogen into ammonia, which is then utilized by plants.

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Question 47archived

Shiva Thapa is associated with which of the following sports?

  1. A
    Boxing
  2. B
    Golf
  3. C
    Shooting
  4. D
    Badminton
Show answer
A. Boxing

Shiva Thapa is a renowned Indian boxer who has represented India in various international boxing competitions.

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Question 48archived

The natural habitat of Rhinoceros in India is

  1. A
    Bharatpur
  2. B
    Gir forest
  3. C
    Khaziranga
  4. D
    Nilgiris
Show answer
C. Khaziranga

Khaziranga National Park in Assam is the natural habitat of the Indian rhinoceros, home to a large population of this species.

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Question 49archived

Which country recently voted to leave the European Union (EU)?

  1. A
    Greece
  2. B
    Spain
  3. C
    United Kingdom
  4. D
    Germany
Show answer
C. United Kingdom

The United Kingdom (UK) recently voted to leave the European Union (EU) in a referendum known as "Brexit."

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Question 50archived

Right to Constitutional remedies comes under?

  1. A
    Fundamental Rights
  2. B
    Human Rights
  3. C
    Natural Rights
  4. D
    Legal Rights
Show answer
A. Fundamental Rights

By using the formula for work, which is the inverse relationship between the number of men and the number of days:Let the number of men required be x. Then, we have: 36 men × 21 days = x men × 14 days So, x = (36 × 21) / 14 = 54 men. Therefore, 54 men are required to complete the work in 14 days.

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Question 51archived

The perimeters of a square and a rectangle are equal. If their area be 'A' m² and 'B' m² then correct statement is

  1. A
    A < B
  2. B
    A = B
  3. C
    A > B
  4. D
    A ≥ B
Show answer
C. A > B

If the perimeters are equal, the area of the square will always be greater than the area of the rectangle due to the square’s more compact shape. Hence, A > B.

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Question 52archived

A man bought a watch for 10% discount. If he had bought for 20% discount he would have got the watch for ₹ 125 less. The marked price of the watch is

  1. A
    ₹ 2500
  2. B
    ₹ 3750
  3. C
    ₹ 1250
  4. D
    ₹ 1000
Show answer
C. ₹ 1250

Let the marked price of the watch be x. The price he paid for the watch at 10% discount is 0.90x, and at 20% discount it is 0.80x.According to the given information, the difference in prices is ₹125: 0.90x - 0.80x = ₹125 0.10x = ₹125 x = ₹1250 Hence, the marked price of the watch is ₹3750.

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Question 53archived

The compound ratios of the inverse ratios of the ratios x:yz , y : zx ,z : xy is :

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

The compound ratio of the inverse ratios is calculated by reversing the ratios and simplifying them accordingly. The correct compound ratio is xyz : 1

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Question 54archived

By selling a tape-recorder for ₹ 1040 a man gains 4%. If he sells it for ₹ 950, his loss will be

  1. A
    5%
  2. B
    4%
  3. C
    3.5%
  4. D
    9%
Show answer
A. 5%

Let the cost price (C.P.) of the tape-recorder be ₹ x. The selling price (S.P.) is ₹1040 and the gain is 4%. This means that:1040 = x + (4% of x)1040 = x + 0.04x , 1.04x = 1040,x = 1040 / 1.04 = ₹1000 (C.P.),Now, if the selling price is ₹950, the loss is ₹1000 - ₹950 = ₹50.,Loss percentage = (50 / 1000) × 100 = 5%

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Question 55archived

What will be the percentage of increase in the area of a square when each of its sides is increased by 10%?

  1. A
    20%
  2. B
    11%
  3. C
    121%
  4. D
    21%
Show answer
D. 21%

If the side of the square increases by 10%, the new side length becomes 1.10 times the original side length. The area of a square is proportional to the square of its side length. So, the new area is:New Area = (1.10)² = 1.21 times the original area.The percentage increase in area = (1.21 - 1) × 100 = 21%.

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Question 56archived

Every Sunday, Gin jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?

  1. A
    42
  2. B
    63
  3. C
    84
  4. D
    98
Show answer
C. 84

For the first week, Gin jogs 3 miles on Sunday, and for the next 6 days, he jogs 1 mile more each day, i.e., the sequence is 3, 4, 5, 6, 7, 8, 9 miles. The total distance for the first week is:3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles.For the second week, the pattern repeats, so the total distance for 2 weeks is 42 × 2 = 84 miles.

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Question 57archived

If p³ - q³ = (p - q) { ( p+ q)² -x p q } then the value of x is

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

We know that the difference of cubes formula is: p³ - q³ = (p - q)( p² + q² + p.q). The equation is already given in the problem, so we deduce that x = 1, as it satisfies the formula directly.

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Question 58archived

On simplification, the value of 1 - 1/1 + √2 + 1/1 - √2 is

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

We simplify the expression step by step:1 - (1 / (1 + √2)) - (1 / (1 - √2)) = 1 - (1 - √2) / ((1 + √2)(1 - √2)) - (1 + √2) / ((1 - √2)(1 + √2)).The denominator becomes (1 + √2)(1 - √2) = 1 - 2 = -1. After rationalizing, we get the value 1 - √2.

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Question 59archived

A rectangle with one side of length 4 cm is inscribed in a circle of diameter 5 cm. Find the area of the rectangle

  1. A
    21 cm²
  2. B
    12 cm²
  3. C
    4 cm²
  4. D
    3 cm²
Show answer
B. 12 cm²

Given that the diameter of the circle is 5 cm, the diagonal of the rectangle is the same as the diameter of the circle, i.e., 5 cm. Using Pythagoras' theorem, if one side of the rectangle is 4 cm, we can find the other side (b) as follows:b² = 5² - 4² = 25 - 16 = 9, so b = 3 cm.The area of the rectangle is 4 cm × 3 cm = 12 cm².

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Question 60archived

ABCD is a cyclic trapezium with AD || BC. If ∠A = 105°, then other three angles are

  1. A
    ∠B = 75°, ∠C = 105°, ∠D = 75°
  2. B
    ∠B = 105°, ∠C = 75°, ∠D = 75°
  3. C
    ∠B = 75°, ∠C = 75°, ∠D = 105°
  4. D
    ∠B = 75°, ∠C = 105°, ∠D = 105°
Show answer
C. ∠B = 75°, ∠C = 75°, ∠D = 105°

In a cyclic trapezium, opposite angles sum to 180°. Since ∠A = 105°, we have:∠B = 180° - ∠A = 180° - 105° = 75°,Similarly, ∠C = 180° - ∠A = 75° and ∠D = 180° - ∠A = 75°.

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Question 61archived

If sec 150° = cosec 150° (0°<θ<10°) then value of θ is

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

Using the identity sec θ = cosec θ, we get θ = 90° as it satisfies the condition.

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Question 62archived

If x = (0.25)1/2, y = (0.4)2, z = (0.216)1/3, then

  1. A
    x > y > z
  2. B
    y > x > z
  3. C
    z > x > y
  4. D
    x > z > y
Show answer
D. x > z > y

Upon calculating the values of x, y, and z, we find that x > z > y.

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Question 63archived

Average runs scored by 11 players of a cricket team is 23 runs. If the first player scored 113 runs, find the average runs of the remaining players

  1. A
    8 runs
  2. B
    12 runs
  3. C
    14 runs
  4. D
    27 runs
Show answer
C. 14 runs

The total runs scored by 11 players = 11 × 23 = 253 runs.The first player scored 113 runs, so the remaining 10 players scored 253 - 113 = 140 runs.The average runs of the remaining players = 140 / 10 = 14 runs.

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Question 64archived

If a² = by + cz, b² = cz + ax, c² = ax + by, then the value of x/a + x + y/b + y + z/c + z is

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

By solving the given system of equations, the value of x/y + y/z + z/x simplifies to 1.

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Question 65archived

If x² + y² = 29 and xy = 10, where x > 0, y > 0, then the value of x² + y² / x - y is

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

By simplifying the given values, the expression simplifies to 7/3, which is the correct value.

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Question 66archived

The ratio of circumradius and radius of an equilateral triangle is

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

The ratio of circumradius (R) to the radius (r) of an equilateral triangle is 2:1, as derived from geometric properties.

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Question 67archived

AB is a diameter of the circle with center O, CD is chord of the circle, if ∠BDC = 120°, then the value of ∠ADC is

  1. A
    42°
  2. B
    60°
  3. C
    30°
  4. D
    35°
Show answer
C. 30°

Since AB is the diameter, ∠ADC = 30°, as the angle subtended by the diameter is always 90° on the circumference.

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Question 68archived

A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 10 m. Find the total height of the tree?

  1. A
    10√3 m
  2. B
    10 m
  3. C
    10 (√3 + 1) m
  4. D
    15 m
Show answer
A. 10√3 m

Using trigonometry, the total height of the tree can be found to be 10√3 m, as the distance from the foot of the tree forms a 30° angle with the ground.

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Question 69archived

The compound interest on a certain sum for 2 years at 10% per annum is ₹525. The simple interest on the same sum for double the time at half the rate percent per annum is:

  1. A
    ₹520
  2. B
    ₹500
  3. C
    ₹550
  4. D
    ₹515
Show answer
B. ₹500

By comparing the compound and simple interest formulas, the simple interest for double the time and half the rate is ₹500.

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Question 70archived

If tan θ = tan 30° = tan 60° and θ is an acute angle, then 2θ is equal to

  1. A
    30°
  2. B
    45°
  3. C
    90°
  4. D
Show answer
C. 90°

If tan θ = tan 30° = tan 60°, the value of θ is 45° and hence 2θ = 90°.

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Question 71archived

36 men together can build a wall 140 m long in 21 days; the no. of men working at the same rate required to build the same wall in 14 days is?

  1. A
    48
  2. B
    36
  3. C
    18
  4. D
    54
Show answer
D. 54

We can solve this problem using the concept of "man-days." First, we calculate the total number of man-days required to build the wall. We know that 36 men can complete the wall in 21 days, so the total man-days is calculated as: Total man-days = 36 × 21 = 756. This means that it requires 756 man-days to build the wall. Now, to complete the same work in 14 days, we need to maintain the total man-days at 756. Let the number of men required be x. We know that the total man-days is the product of the number of men and the number of days. Thus, we set up the equation: x × 14 = 756. Solving for x, we get: x = 756 / 14 = 54. Therefore, 54 men are required to build the wall in 14 days

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Question 72archived

The change in rate of inflation was least in which of the following?

Question figure
  1. A
    Developed Nations
  2. B
    UK
  3. C
    World
  4. D
    Third World
Show answer
C. World

From the bar graph, we can see that the inflation rate for the world increased only slightly from 14.6% to 16%, compared to other countries. Hence, the change in inflation was least in the world.

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Question 73archived

Comparing the figures for USA vis-a-vis the developed nations, it can be concluded that

Question figure
  1. A
    USA had better control on inflation
  2. B
    Developed nations had better control on inflation
  3. C
    The inflation rate continues to be the same for USA and developed nations
  4. D
    No conclusions can be drawn
Show answer
A. USA had better control on inflation

From the graph, the inflation rate for USA in 1987 was 12.7%, while it was 14.2% for developed nations. This indicates that USA had better control over inflation compared to the developed nations, where the inflation rate was higher.

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Question 74archived

In the year 1987, the inflation rate in the third world countries vis-a-vis the world jumped approximately by

Question figure
  1. A
    135%
  2. B
    126%
  3. C
    122%
  4. D
    200%
Show answer
B. 126%

From the bar graph, in 1975 the inflation rate in third world countries was 26.6%, and in 1987 it rose to 36.2%. The increase is (36.2 - 26.6) / 26.6 × 100 = 36%. For the world, the rate increased from 14.6% to 16%. The difference is (36.2 - 14.6) / 14.6 × 100 ≈ 126%. Hence, the inflation rate in the third world jumped by approximately 126% compared to the world.

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Question 75archived

From 1975 to 1987,inflation rate increased in the third world countries approximately by

Question figure
  1. A
    10%
  2. B
    36%
  3. C
    20%
  4. D
    30%
Show answer
B. 36%

the correct answer is 36% analyzing the graph and the data given.

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Question 76archived

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. VANQUISH

  1. A
    VANISH
  2. B
    GIVE OVER
  3. C
    SURRENDER
  4. D
    TRAMPLE
Show answer
C. SURRENDER

The opposite of "vanquish" (to defeat) is "surrender" (to give up). Therefore, the correct answer is "SURRENDER."

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Question 77archived

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
    Grotasque
  2. B
    Groteque
  3. C
    Grotesque
  4. D
    Grostique
Show answer
C. Grotesque

The correct spelling is "Grotesque," which means something strange or comically distorted.

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Question 78archived

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. Here is something pretty (A) that you can (B) wear on the party (C) / No Error (D)

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

The error is in part (C). The correct preposition is "to" rather than "on" when referring to "wearing something to the party." Hence, the correct option is "C."

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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. He was for all (A) selling the car (B) and buying a bicycle (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). The correct phrase is "He was intent on selling the car" or "He was selling the car." The article "for" is unnecessary. Hence, the correct option is "A."

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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. Look at what (A) I am doing (B) and like I do (C) / No Error (D)

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

The error is in part (C). The correct phrase should be "like I do" which should be "like I do." Hence, the correct option is "C."

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Question 81archived

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. See me tomorrow without ___________

  1. A
    fails
  2. B
    failure
  3. C
    failing
  4. D
    fail
Show answer
D. fail

The correct word is "fail" to fit into the sentence "See me tomorrow without fail." It implies not missing the appointment. Hence, the correct option is "fail."

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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. Radium ___________ rays that blind the eyes.

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

The correct phrase is "gives off," which is commonly used to describe something releasing or emitting, such as radiation. Hence, the correct option is "gives off."

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Question 83archived

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. RECTIFY

  1. A
    SATISFY
  2. B
    CORRECT
  3. C
    REDUCE
  4. D
    PACIFY
Show answer
B. CORRECT

The opposite word of the word “RECTIFY” is “CORRECT”

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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. You will have to work ___________ you are in the office.

  1. A
    as long as
  2. B
    as good as
  3. C
    so far as
  4. D
    for as
Show answer
A. as long as

The correct phrase is "as long as," meaning "until" or "for the entire period." Hence, the correct option is "as long as."

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Question 85archived

In each 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 add fuel to the fire

  1. A
    Prevent fire from dying out
  2. B
    Make the fire burn brightly
  3. C
    Make things worse
  4. D
    Waste fuel for no reason
Show answer
C. Make things worse

The idiom "to add fuel to the fire" means to make a situation worse, which corresponds to "Make things worse." Hence, the correct option is "Make things worse."

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Question 86archived

In each 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 take to heart

  1. A
    To be greatly affected
  2. B
    To take something heartily
  3. C
    To strike at the heart, out of enjoyment
  4. D
    To suffer from heart disease
Show answer
A. To be greatly affected

The idiom "to take to heart" means to be greatly affected emotionally by something. Hence, the correct option is "To be greatly affected."

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Question 87archived

In each 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 bring to light

  1. A
    To put on light
  2. B
    To reveal
  3. C
    To bring a light
  4. D
    To arrange light sufficiently
Show answer
B. To reveal

The idiom "to bring to light" means to reveal something, such as bringing facts or information to attention. Hence, the correct option is "To reveal."

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Question 88archived

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”. Lying in my room, “the music could be heard”

  1. A
    I could hear the music
  2. B
    The music can be heard
  3. C
    The music can be heard by me
  4. D
    No improvement
Show answer
A. I could hear the music

The sentence "Lying in my room, I could hear the music" is grammatically correct. "I could hear" is the appropriate phrasing to indicate the ability to hear. Hence, the correct option is "I could hear the music."

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Question 89archived

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”. Come quickly; if “you will” catch the train

  1. A
    you want to
  2. B
    you shall
  3. C
    you could
  4. D
    No improvement
Show answer
A. you want to

The phrase "if you want to" fits best here, implying a conditional statement for catching the train. Hence, the correct option is "you want to."

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Question 90archived

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”. At the sound of foot steps he turned round “fast really”

  1. A
    No Improvement
  2. B
    real fastly
  3. C
    real faster
  4. D
    Real Fast
Show answer
D. Real Fast

"Real fast" is the correct usage, as "real" is an adverb modifying "fast." Hence, the correct option is "real fast."

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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”. Only a “few people” came to the art exhibition as it was raining hard all day.

  1. A
    few
  2. B
    little
  3. C
    a small amount of
  4. D
    No improvement
Show answer
D. No improvement

The phrase "only a few people" is grammatically correct. "Few" refers to a small number of people, and "little" is incorrect in this context. Hence, the correct option 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”. His immediate "ambition" was to find a place to live in.

  1. A
    Aim
  2. B
    Design
  3. C
    Strategy
  4. D
    No improvement
Show answer
A. Aim

The correct word here is "AIM" as it means a A goal to achieve.

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Question 93archived

Out of the four alternatives, choose the one which can be substituted for the given word/sentences and click the button corresponding to it. A large body of people playing various musical instruments.

  1. A
    Melody
  2. B
    Harmony
  3. C
    Brassband
  4. D
    Orchestra
Show answer
D. Orchestra

The term "Orchestra" refers to a large group of people playing musical instruments, particularly in a symphonic context. Hence, the correct option is "Orchestra."

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Question 94archived

Out of the four alternatives, choose the one which can be substituted for the given word/sentences and click the button corresponding to it. Solemn religious acts

  1. A
    Demonstrations
  2. B
    Celebrities
  3. C
    Rites
  4. D
    Functions
Show answer
C. Rites

The correct term for "solemn religious acts" is "Rites," as it refers to ceremonies or rituals of religious significance. Hence, the correct option is "Rites."

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Question 95archived

Out of the four alternatives, choose the one which can be substituted for the given word/sentences and click the button corresponding to it. That which cannot be averted

  1. A
    Inevitable
  2. B
    Irreparable
  3. C
    Incomparable
  4. D
    Indispensable
Show answer
A. Inevitable

The term "inevitable" refers to something that cannot be avoided or prevented, making it the correct substitution. Hence, the correct option is "Inevitable."

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Question 96archived

What is the effect of fear on humans?

  1. A
    We understand life’s great mystery.
  2. B
    We are not able to develop our intelligence.
  3. C
    We think freely.
  4. D
    We see the vast expanse of life.
Show answer
B. We are not able to develop our intelligence.

From the passage, the effect of fear is that it hinders intelligence and prevents people from thinking freely. Hence, the correct answer is "We are not able to develop our intelligence."

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Question 97archived

Education helps us realize the need of ____________.

  1. A
    To understand life’s great mystery.
  2. B
    To get a degree for a job.
  3. C
    To need for good health.
  4. D
    Necessity of freedom.
Show answer
D. Necessity of freedom.

The passage emphasizes the need for freedom to understand life and its mysteries, so the correct answer is "Necessity of freedom."

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Question 98archived

When we are young we should ____________.

  1. A
    Seek the meaning of life
  2. B
    Study and get a degree
  3. C
    Try for a good job
  4. D
    Study science
Show answer
A. Seek the meaning of life

As stated in the passage, when we are young, we should seek the meaning of life, not just focus on degrees or jobs. Hence, the correct answer is "Seek the meaning of life."

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Question 99archived

What does the passage indicate as the role of education?

  1. A
    To make people understand life in a very narrow sense.
  2. B
    To help people understand the whole process of life and foster intelligence.
  3. C
    To prepare people to just earn a livelihood and get a job.
  4. D
    To make people forget about the mysteries of life.
Show answer
B. To help people understand the whole process of life and foster intelligence.

The passage emphasizes that the role of education is to prepare people to understand the whole process of life, including its mysteries, beauty, and the cultivation of intelligence. Hence, the correct answer is "To help people understand the whole process of life and foster intelligence."

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Question 100archived

The aim of education is to make us realise the need of ___________.

  1. A
    way to develop our career
  2. B
    need for good health
  3. C
    meaning of fear
  4. D
    necessity of freedom
Show answer
D. necessity of freedom

The passage emphasizes that the ultimate aim of education is to help us understand the necessity of freedom in order to understand life and live without fear. Hence, the correct answer is "necessity of freedom."

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