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SSC CGL 2017 · 2017-08-16 · Shift 1

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Question 1archived

In the following question, select the related word from the given alternatives. Sheep : Lamb :: Cow : ?

  1. A
    Kitten
  2. B
    Cub
  3. C
    Calf
  4. D
    Caterpillar
Show answer
C. Calf

The relationship between 'Sheep' and 'Lamb' is that a lamb is the young one of a sheep. Similarly, the young one of a cow is called a 'Calf'. Therefore, the correct answer is 'Calf'.

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Question 2archived

In the following question, select the related letters from the given alternatives. PRAG : QTDK :: STOP : ?

  1. A
    LMNP
  2. B
    BDFE
  3. C
    TVRT
  4. D
    QSTG
Show answer
C. TVRT

In the pattern, each letter of 'PRAG' is replaced by the letter preceding it in the alphabet, so 'P' becomes 'Q', 'R' becomes 'T', 'A' becomes 'D', and 'G' becomes 'K'. Following the same pattern for the word 'STOP', we get 'TVRT'. Hence, the correct answer is 'TVRT'.

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Question 3archived

In the following question, select the related number from the given alternatives. 562 : 30 :: 663 : ?

  1. A
    44
  2. B
    49
  3. C
    54
  4. D
    58
Show answer
C. 54

In 562 : 30, 562 = (5 × 6 × 2)/2 = 30 Hence, 663 = (6 × 6 × 3)/2 = 54 Thus, the answer is 54.

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Question 4archived

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

  1. A
    Cricket
  2. B
    Carrom
  3. C
    Table Tennis
  4. D
    Chess
Show answer
A. Cricket

The word 'Cricket' is a team sport, while the other three are individual games. Hence, 'Cricket' is the odd word out.

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Question 5archived

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

  1. A
    IMX
  2. B
    DHS
  3. C
    GWK
  4. D
    KOZ
Show answer
C. GWK

The word 'GWK' stands out as the only set where the positions of the letters in the alphabet are not in sequence. Hence, 'GWK' is the odd one out.

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Question 6archived

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

  1. A
    122 – 1331
  2. B
    173 – 2197
  3. C
    197 – 2744
  4. D
    290 – 4913
Show answer
B. 173 – 2197

The number pairs '122 – 1331', '197 – 2744', and '290 – 4913' follow a pattern of cubic numbers. The pair '173 – 2197' does not follow the same cubic relationship. Therefore, it is the odd pair out.

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Question 7archived

Arrange the given words in the sequence in which they occur in the dictionary. 1. Xenons 2. Xylyls 3. Xanthic 4. Xenians 5. Xyst

  1. A
    34125
  2. B
    34521
  3. C
    43251
  4. D
    51342
Show answer
A. 34125

Arranging the words in dictionary order: 1. Xenons, 2. Xenians, 3. Xanthic, 4. Xyllys, 5. Xyst. The correct sequence is 34125.

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Question 8archived

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. LOQ, SVX, ZCE, ?

  1. A
    GJL
  2. B
    GLJ
  3. C
    GTL
  4. D
    JLG
Show answer
A. GJL

Let's solve step-by-step: First letters: L, S, Z L is the 12th letter of the alphabet. S is the 19th letter. Z is the 26th letter. The pattern: +7 steps (L→S→Z). After Z (26), adding 7 gives 33. Subtract 26 (number of alphabets) → 33 - 26 = 7 ⇒ 7th letter is G. Second letters: O, V, C O is the 15th letter. V is the 22nd letter. C is the 3rd letter. The pattern: +7 steps (O→V→C). After C (3), add 7 → 3 + 7 = 10 ⇒ 10th letter is J. Third letters: Q, X, E Q is the 17th letter. X is the 24th letter. E is the 5th letter. The pattern: +7 steps (Q→X→E). After E (5), add 7 → 5 + 7 = 12 ⇒ 12th letter is L. Thus, the next term should be GJL. Final Answer: Option 1) GJL.

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Question 9archived

In the following question, select the missing number from the given series. 13, 27, 56, 115, ?

  1. A
    224
  2. B
    231
  3. C
    233
  4. D
    234
Show answer
D. 234

The pattern between the numbers is: 13 + 14 = 27, 27 + 29 = 56, 56 + 59 = 115, and 115 + 119 = 234. Therefore, the missing number is '234'.

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Question 10archived

Sumitra remembers that her mother's birthday is after 13th February but before 16th February but her brother remembers that his mother's birthday is after 14th February but before 17th February. On which date Sumitra's mother's birthday will be celebrated?

  1. A
    13th February
  2. B
    14th February
  3. C
    15th February
  4. D
    17th February
Show answer
C. 15th February

Since Sumitra remembers her mother's birthday is after 13th February and before 16th February, and her brother remembers it is after 14th February but before 17th February, the only common date that satisfies both is 15th February.

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Question 11archived

There are five energy drinks - Red, Moto, Energy, Lion and Bull containing different range of sugar content. Moto having sugar content more than all other drinks. Energy having the sugar content only more than the Lion. Bull is not having sugar content more than the Red. Which of the following drink having the second most sugar content?

  1. A
    Bull
  2. B
    Energy
  3. C
    Red
  4. D
    Moto
Show answer
C. Red

According to the given information, Moto has the highest sugar content, and Energy has more sugar content than Lion but less than Moto. Bull has less sugar content than Red. Therefore, the second most sugar content is in Red.

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Question 12archived

In the following question, from the given alternative words, select the word which cannot be formed using the letters of the given word. CALCULATING

  1. A
    GAIN
  2. B
    TANING
  3. C
    TAIL
  4. D
    CULT
Show answer
B. TANING

By analyzing the letters of the word CALCULATING, 'TANING' cannot be formed as there is no 'N' present twice in CALCULATING. Therefore, the correct answer is 'TANING'.

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Question 13archived

In a certain code language, "WILDHORN" is written as "1133" and "RAPTURE" is written as "1089". How is "PORTLOUIS" written in that code language?

  1. A
    1395
  2. B
    1485
  3. C
    1584
  4. D
    1595
Show answer
D. 1595

The code corresponds to the numerical value based on the letters and their positions. Following the pattern from the given examples, "PORTLOUIS" is written as "1595".

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Question 14archived

If "A" denotes "subtracted from", "B" denotes "added to", "C" denotes "divided by", "D" denotes "multiplied by", then which of the following statement is correct?

  1. A
    3 A 12 B 16 D 17 C 1 = 163
  2. B
    5 C 7 A 9 D 8 B 2 = 294
  3. C
    13 C 13 A 13 B 13 D 13 = 157
  4. D
    18 C 16 D 49 A 8 27 B 9 = 200
Show answer
C. 13 C 13 A 13 B 13 D 13 = 157

The correct equation, using the operations assigned to each letter, is 13 C 3 A 18 D 13 B 13 D 1 = 157.

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Question 15archived

If 9 * 2 * 5 = 23 and 1 * 4 * 8 = 29, then 1 * 6 * 3 = ?

  1. A
    19
  2. B
    21
  3. C
    31
  4. D
    39
Show answer
A. 19

By following the pattern, the result of 1 * 6 * 3 equals 19. Hence, the correct answer is 19.

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Question 16archived

In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.

Question figure
  1. A
    48
  2. B
    52
  3. C
    55
  4. D
    58
Show answer
D. 58

The numbers follow the pattern of multiplying the two numbers on the left and adding a constant factor. Following this pattern, the missing number is 58.

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Question 17archived

How many triangles are there in the given figure?

Question figure
  1. A
    20
  2. B
    23
  3. C
    24
  4. D
    26
Show answer
A. 20

By counting all the visible triangles, there are exactly 20 triangles in the figure.

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Question 18archived

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All LED are bulb. Some bulbs are not tube light. Conclusions: I. Some tube lights are LED. II. All LED are tube lights.

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

Conclusion (I) cannot be directly derived from the given statements, and conclusion (II) is also not supported. Therefore, neither conclusion (I) nor conclusion (II) follows.

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Question 19archived

Three positions of a cube are shown below. What will come opposite to face containing 'a'?

Question figure
  1. A
    β
  2. B
    δ
  3. C
    η
  4. D
    θ
Show answer
B. δ

From the given positions, the opposite face to 'a' is marked with 'δ'. Therefore, the correct answer is 'δ'.

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Question 20archived

Identify the diagram that best represents the relationship among the given classes: Pet animals, Dog, Cat

  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 correct diagram is the one that shows the relationship between Pet animals, Dog, and Cat where both Dog and Cat overlap inside the category of Pet animals, as both dogs and cats are pet animals.

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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
B. Option B (shown in image)

By observing the pattern, the second option figure will complete the pattern. The alignment and placement of the lines and triangles match with the given pattern. Therefore, the correct answer is option 2.

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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
B. Option B (shown in image)

The second option figure contains the embedded pattern of the question figure. Upon careful observation, the pattern from the question is visible in the second option. Hence, the correct answer is option 2.

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Question 23archived

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

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

When the folded and punched paper is opened, it will show a symmetric pattern that corresponds to answer option D.

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Question 24archived

If a mirror is placed on the line AB, then which of the answer figure 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
B. Option B (shown in image)

When a mirror is placed on line AB, the correct right image would be the second option. The mirror image flips the positions of letters horizontally along line AB. Hence, the correct answer is option 2.

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Question 25archived

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 shown in the given two matrices. 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 by its row and next by its column, for example, 'Z' can be represented by 87, 29, etc., and 'T' can be represented by 96, 95, etc. Similarly, you have to identify the set for the word "MAZE".

Question figure
  1. A
    00, 41, 99, 96
  2. B
    12, 04, 56, 58
  3. C
    24, 22, 88, 65
  4. D
    43, 10, 69, 77
Show answer
A. 00, 41, 99, 96

The correct representation of the word "MAZE" is obtained by matching the corresponding letters with their positions in Matrix-I and Matrix-II. Using the given matrices, 'M' corresponds to 01, 'A' corresponds to 40, 'Z' corresponds to 59, and 'E' corresponds to 96. Therefore, the correct answer is option 1.

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Question 26archived

What does indifference curve represent?

  1. A
    Levels of Income and Capital
  2. B
    Satisfaction derived from two goods
  3. C
    Income from two businesses
  4. D
    Relationship between expenditure and savings
Show answer
B. Satisfaction derived from two goods

An indifference curve represents a graph showing different bundles of two goods between which a consumer is indifferent. That means, at every point on the curve, the consumer derives the same level of satisfaction. Therefore, it represents satisfaction derived from two goods.

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Question 27archived

Match the following:

Question figure
  1. A
    1-c, 2-b, 3-a
  2. B
    1-b, 2-c, 3-a
  3. C
    1-a, 2-b, 3-c
  4. D
    1-a, 2-c, 3-b
Show answer
B. 1-b, 2-c, 3-a

The correct match is: 1) Battle of Buxar - 1764 2) Battle of Plassey - 1757 3) Battle of Haldighati - 1576

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Question 28archived

India has taken the concept of 'Judicial Review' from which country's constitution?

  1. A
    United States
  2. B
    United Kingdom
  3. C
    Canada
  4. D
    Ireland
Show answer
A. United States

The concept of 'Judicial Review' in the Indian Constitution has been adopted from the Constitution of the United States of America. It allows the judiciary to review laws and executive orders for their constitutionality.

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Question 29archived

How many times a person can be elected as the President of India?

  1. A
    One time
  2. B
    Two times
  3. C
    Three times
  4. D
    No bar
Show answer
D. No bar

There is no limit on the number of times a person can be elected as the President of India as per the Indian Constitution.

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Question 30archived

Who shot dead John Saunders on 17th December 1928?

  1. A
    Bhagat Singh
  2. B
    Mangal Panday
  3. C
    Sukhdev
  4. D
    Bipin Chandra Pal Singh
Show answer
A. Bhagat Singh

John Saunders was shot dead on 17th December 1928 by Revolutionary freedom fighter Bhagat Singh, assisted by Shivaram Rajguru. Details: John Saunders was a British police officer. The assassination took place in Lahore (then in British India). It was carried out as revenge for the death of Lala Lajpat Rai, who had been injured during a police lathi charge led by James A. Scott and died later. Bhagat Singh and his associates mistakenly killed Saunders, believing him to be Scott, the intended target.

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Question 31archived

Sardar Vallabhbhai Patel was the leader of ______.

  1. A
    Bhoodan Movement
  2. B
    Rowlatt Satyagraha
  3. C
    Bardoli Satyagraha
  4. D
    Swadeshi Movement
Show answer
C. Bardoli Satyagraha

Sardar Vallabhbhai Patel led the Bardoli Satyagraha in 1928, a major movement against the increased land revenue demands of the British in Gujarat.

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Question 32archived

Which type of forests majorly comprises of lichens and mosses?

  1. A
    Taiga forests
  2. B
    Tundra forests
  3. C
    Temperate mixed forests
  4. D
    Tropical ever green forests
Show answer
B. Tundra forests

Tundra forests are characterized by extremely cold conditions and limited vegetation. The main flora includes lichens and mosses, which can survive in such harsh climates.

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Question 33archived

Which of the following has maximum diurnal temperature difference?

  1. A
    Desert
  2. B
    Mountains
  3. C
    Plateau
  4. D
    Ocean
Show answer
A. Desert

Deserts experience the greatest difference between day and night temperatures due to lack of moisture and vegetation. They heat up rapidly during the day and cool down quickly at night.

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Question 34archived

Night Blindness is caused by deficiency of which of the following Vitamin?

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

Night blindness is most commonly caused by a deficiency of Vitamin A, which is essential for maintaining good vision, especially in low light.

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Question 35archived

The right portion of human heart receives ______ blood.

  1. A
    pure
  2. B
    impure
  3. C
    mixed
  4. D
    None of these
Show answer
B. impure

The right portion (right atrium and right ventricle) of the human heart receives deoxygenated (impure) blood from the body and pumps it to the lungs for oxygenation.

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Question 36archived

Which of the following is the largest gland in human body?

  1. A
    Thyroid
  2. B
    Liver
  3. C
    Kidney
  4. D
    Pancreas
Show answer
B. Liver

The liver is the largest gland in the human body. It performs various essential functions such as detoxification, protein synthesis, and production of biochemicals necessary for digestion.

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Question 37archived

On which principle does the hydraulic lift work?

  1. A
    Newton's law
  2. B
    Pascal's law
  3. C
    Archimedes's law
  4. D
    Joule's law
Show answer
B. Pascal's law

Hydraulic lifts operate on Pascal's Law, which states that pressure applied to a confined fluid is transmitted undiminished in all directions within the fluid.

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Question 38archived

At what temperature (in degree celsius), the numerical values on Celsius and Fahrenheit scales become equal?

  1. A
    –40
  2. B
    40
  3. C
    273
  4. D
    –273
Show answer
A. –40

The Celsius and Fahrenheit scales intersect at –40 degrees. That is, –40°C is equal to –40°F.

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Question 39archived

In MICR, what does 'I' stand for?

  1. A
    Interactive
  2. B
    Information
  3. C
    Ink
  4. D
    Instruction
Show answer
C. Ink

MICR stands for Magnetic Ink Character Recognition. The 'I' represents 'Ink', indicating the special magnetic ink used for printing sensitive information on cheques.

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Question 40archived

What is the process of conversion of solid state directly to gaseous state called?

  1. A
    Evaporation
  2. B
    Condensation
  3. C
    Sublimation
  4. D
    Distillation
Show answer
C. Sublimation

Sublimation is the process in which a substance transitions directly from a solid to a gaseous state without passing through the liquid phase. A common example is dry ice.

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Question 41archived

What are the main components of Bronze Alloy?

  1. A
    Copper and Zinc
  2. B
    Copper and Tin
  3. C
    Zinc and Nickel
  4. D
    Aluminium and Nickel
Show answer
B. Copper and Tin

Bronze is an alloy primarily consisting of copper and tin. It is known for its hardness and resistance to corrosion.

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Question 42archived

Which of the following causes fly ash?

  1. A
    Hydroelectric Power Station
  2. B
    Coal Combustion Power Plant
  3. C
    Nuclear Power Plant
  4. D
    Tidal Power Plant
Show answer
B. Coal Combustion Power Plant

Fly ash is a by-product of coal combustion in thermal power plants. It consists of fine particles that rise with flue gases and are captured using filters.

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Question 43archived

"Dulari Kanya", a scheme to bring down infant mortality in the state is launched by which Indian State?

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

"Dulari Kanya" is a welfare scheme launched by Arunachal Pradesh to reduce the infant mortality rate and promote the birth of girl children.

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Question 44archived

Who developed the theory of relativity?

  1. A
    Isaac Newton
  2. B
    Charles Darwin
  3. C
    Marie Curie
  4. D
    Albert Einstein
Show answer
D. Albert Einstein

Albert Einstein developed the theory of relativity, which revolutionized the understanding of space, time, and gravity.

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Question 45archived

'Queensbury rules' is code of rules that directly influences which of the following sport?

  1. A
    Tennis
  2. B
    Boxing
  3. C
    Polo
  4. D
    Billiards
Show answer
B. Boxing

The 'Queensbury rules' are a set of standardized rules that govern the sport of boxing. They were first published in 1867 and remain the basis for modern boxing rules.

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Question 46archived

Who amidst the following is a distinguished painter?

  1. A
    Uday Shankar
  2. B
    Sonal Mansingh
  3. C
    Amrita Shergill
  4. D
    Yamini Krishnamurthy
Show answer
C. Amrita Shergill

Amrita Shergill was a renowned Indian painter, often considered one of the greatest avant-garde women artists of the early 20th century. Her works drew influence from Western and Indian styles, making her a pioneer in modern Indian art.

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Question 47archived

Who among the following was awarded with Padma Shri 2017 in the field of 'Sports - Hockey'?

  1. A
    Sardar Singh
  2. B
    P. R. Sreejesh
  3. C
    Ramandeep Singh
  4. D
    Yuvraj Walmiki
Show answer
B. P. R. Sreejesh

P. R. Sreejesh, the Indian field hockey player and goalkeeper, was awarded the Padma Shri in 2017 for his outstanding contribution to the sport.

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Question 48archived

"Hema Malini : Beyond the Dream Girl" is authored by which author?

  1. A
    Meena Iyer
  2. B
    Hema Malini
  3. C
    Ram Kamal Mukherjee
  4. D
    Vijay Kumar
Show answer
C. Ram Kamal Mukherjee

The biography titled "Hema Malini: Beyond the Dream Girl" was written by journalist and author Ram Kamal Mukherjee. It covers the life and career of Hema Malini, an iconic Indian actress.

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Question 49archived

A 7500 mile direct rail link was launched on 10 April 2017 between China and _____.

  1. A
    Pakistan
  2. B
    Kazakhstan
  3. C
    Great Britain
  4. D
    France
Show answer
C. Great Britain

On 10 April 2017, China launched a direct 7500-mile freight rail link to Great Britain, aiming to enhance trade connectivity under the Belt and Road Initiative.

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Question 50archived

19th SAARC Summit was planned to be held in November 2016 but it got postponed. Which country was its host?

  1. A
    Nepal
  2. B
    Bhutan
  3. C
    India
  4. D
    Pakistan
Show answer
D. Pakistan

The 19th SAARC Summit was scheduled to be hosted by Pakistan in November 2016. However, it was postponed due to political tensions and withdrawals by several member nations.

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Question 51archived

Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?

  1. A
    9
  2. B
    11
  3. C
    13
  4. D
    17
Show answer
C. 13

Let the three consecutive odd numbers be \(x-2,\ x,\ x+2\). Their product is \[(x-2)\,x\,(x+2) = x(x^2-4) = 1287\] Try \(x=11\): \(11(121-4) = 11 \times 117 = 1287\). So the numbers are 9, 11, 13 and the largest is 13.

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Question 52archived

45 men or 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?

  1. A
    23
  2. B
    45
  3. C
    30
  4. D
    25
Show answer
C. 30

Step 1 — Equate work capacities: 45 men ≡ 60 boys, so \(1\text{ man} = \tfrac{60}{45} = \tfrac{4}{3}\text{ boys}\). Step 2 — Convert the new group to boys: \[15\text{ men}+20\text{ boys} = 15\times\tfrac{4}{3}+20 = 20+20 = 40\text{ boys}\] Step 3 — Days needed: 60 boys take 20 days, so total work = \(60\times 20 = 1200\) boy-days. \[\text{Days} = \frac{1200}{40} = 30\] Therefore 30 days.

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Question 53archived

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

  1. A
    112
  2. B
    108
  3. C
    116
  4. D
    104
Show answer
B. 108

Volume is conserved when the hemisphere is melted into balls. \[V_{\text{hemisphere}} = \tfrac{2}{3}\pi r^3 = \tfrac{2}{3}\pi(6)^3 = 144\pi \text{ cm}^3\] \[V_{\text{ball}} = \tfrac{4}{3}\pi(1)^3 = \tfrac{4}{3}\pi \text{ cm}^3\] \[N = \frac{144\pi}{\tfrac{4}{3}\pi} = 144\times\tfrac{3}{4} = 108\] Therefore 108 balls.

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Question 54archived

The marked price of a shirt is Rs 1280. If the shirt is being sold for Rs 900, what is the discount percentage?

  1. A
    31.31
  2. B
    25.57
  3. C
    29.68
  4. D
    34.36
Show answer
C. 29.68

Discount = MP − SP = \(1280 - 900 = 380\). \[\text{Discount \%} = \frac{380}{1280}\times 100 = 29.6875\% \approx 29.68\%\] Therefore 29.68%.

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Question 55archived

The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, what is the ratio of number of cans of these juices in the remaining stock?

  1. A
    1 : 1 : 2
  2. B
    6 : 6 : 13
  3. C
    12 : 15 : 19
  4. D
    4 : 9 : 13
Show answer
A. 1 : 1 : 2

Remaining: 75% of 8 = 6, 66.66% of 9 = 6, 80% of 15 = 12 ⇒ 6:6:12 = 1:1:2

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Question 56archived

The ratio of number of boys and girls in a class is 2 : 3. The average weight of boys and girls is 18 kg and 21 kg respectively. What is the average weight (in kg) of all the boys and girls together?

  1. A
    99/5
  2. B
    101/5
  3. C
    109/6
  4. D
    96/5
Show answer
A. 99/5

Let boys = 2x, girls = 3x. Total = 5x. Total weight = 2x×18 + 3x×21 = 36x + 63x = 99x Avg = 99x / 5x = 99/5

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Question 57archived

A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at Rs 42 per litre, what is the profit percentage?

  1. A
    17.2
  2. B
    14.4
  3. C
    16.6
  4. D
    15.5
Show answer
D. 15.5

Water is free, so CP is only the milk cost; SP is on the full 55 L mixture. \[\text{CP} = 50\times 40 = 2000\] \[\text{SP} = 55\times 42 = 2310\] \[\text{Profit \%} = \frac{2310-2000}{2000}\times 100 = \frac{310}{2000}\times 100 = 15.5\%\] Therefore 15.5%.

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Question 58archived

If A is 6 times more than B, then by what percentage is B less than A?

  1. A
    64.82
  2. B
    83.33
  3. C
    28.56
  4. D
    85.71
Show answer
D. 85.71

“A is 6 times more than B” means \(A = B + 6B = 7B\). The difference A − B = 6B, expressed as a percentage of A: \[\frac{A-B}{A}\times 100 = \frac{6B}{7B}\times 100 = \frac{600}{7} \approx 85.71\%\] Therefore B is 85.71% less than A.

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Question 59archived

A runner starts at 6:00 am with 8 km/hr speed. Another starts at 8:30 am with 10 km/hr speed. When will the second overtake the first?

  1. A
    8:00
  2. B
    4:00
  3. C
    6:30
  4. D
    5:30
Show answer
C. 6:30

1st runs 2.5 hours before 2nd: 8×2.5 = 20 km lead Relative speed = 2 km/hr ⇒ Time to close gap = 20/2 = 10 hours So 8:30 + 10 hours = 6:30 PM

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Question 60archived

A sum amounts to Rs 7727.104 at 12% per annum compounded annually after 3 years. What is the value of principal?

  1. A
    5000
  2. B
    5200
  3. C
    5350
  4. D
    5500
Show answer
D. 5500

Compound-interest amount formula: \[A = P\left(1+\tfrac{r}{100}\right)^n = P(1.12)^3\] \((1.12)^3 = 1.404928\), so \[P = \frac{7727.104}{1.404928} = 5500\] Therefore principal = Rs 5500.

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Question 61archived

\[When [x+ \frac{1}{x}] = 5, then what is the value of [x- \frac{1}{x} ]?\]

  1. A
    11
  2. B
    ±√22
  3. C
    21
  4. D
    ±√21
Show answer
D. ±√21

Given: x + 1/x = 5, solving for x, we get the value of x - 1/x = ±√21.

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Question 62archived

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3?

  1. A
    40
  2. B
    37.5
  3. C
    38
  4. D
    20√2
Show answer
A. 40

By solving the given expression with the value of x, we get the final result as 40.

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Question 63archived

If x = 5 – 2√6, then what is the value of √x + (1/√x)?

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

By substituting x = 5 – 2√6 and simplifying, we get the value of √x + (1/√x) = 4.

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Question 64archived

If 27x + 27[x-(⅓)] = 972, then what is the value of x?

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

Note that \(27^{\,x-1/3} = 27^x\cdot 27^{-1/3} = \tfrac{27^x}{3}\). Substitute: \[27^x + \tfrac{27^x}{3} = 972 \;\Rightarrow\; \tfrac{4}{3}\,27^x = 972\] \[27^x = 729 = 27^2 \;\Rightarrow\; x = 2\] Therefore x = 2.

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Question 65archived

The inradius of an equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?

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

Using the formula for the relationship between the inradius and circumradius of an equilateral triangle, the circum-radius is 20 cm.

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Question 66archived

The point of intersection of all the angle bisectors of a triangle is ______ of the triangle.

  1. A
    Incenter
  2. B
    Circumcenter
  3. C
    Centroid
  4. D
    Orthocenter
Show answer
A. Incenter

The point of intersection of all the angle bisectors of a triangle is known as the Incenter of the triangle.

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Question 67archived

ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?

  1. A
    90
  2. B
    120
  3. C
    135
  4. D
    145
Show answer
B. 120

In an equilateral triangle, the orthocenter lies at the same point as the centroid. Therefore, the value of ∠BPC is 120 degrees.

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Question 68archived

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm², then what is the area (in cm²) of triangle ABD?

  1. A
    150
  2. B
    200
  3. C
    210
  4. D
    240
Show answer
A. 150

Using the property of angle bisectors and the area ratio, the area of triangle ABD is 150 cm².

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Question 69archived

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

  1. A
    10
  2. B
    15
  3. C
    20
  4. D
    60
Show answer
B. 15

Using trigonometric relations and the given information, the boat takes 15 seconds to reach the lighthouse.

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Question 70archived

What is the value of [sec θ/ (secθ – 1)] + [sec θ /(sec θ + 1)]?

  1. A
    2 sin² θ
  2. B
    2(1 + tan² θ)
  3. C
    2 cosec² θ
  4. D
    sin² θ
Show answer
C. 2 cosec² θ

Combine over a common denominator \((\sec\theta-1)(\sec\theta+1) = \sec^2\theta - 1 = \tan^2\theta\): \[\frac{\sec\theta(\sec\theta+1)+\sec\theta(\sec\theta-1)}{\tan^2\theta} = \frac{2\sec^2\theta}{\tan^2\theta}\] Now \(\dfrac{\sec^2\theta}{\tan^2\theta} = \dfrac{1/\cos^2\theta}{\sin^2\theta/\cos^2\theta} = \dfrac{1}{\sin^2\theta} = \csc^2\theta\). Therefore the expression equals \(2\csc^2\theta\).

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Question 71archived

If cosec θ = (1 / 4x) + x, then what is the value of cosec θ + cot θ?

  1. A
    3x
  2. B
    2x
  3. C
    4x
  4. D
    2x or 1/(2x)
Show answer
D. 2x or 1/(2x)

Using \(\csc^2\theta - \cot^2\theta = 1\), we get \(\cot^2\theta = \csc^2\theta - 1\). With \(\csc\theta = \tfrac{1}{4x}+x\): \[\csc^2\theta = \tfrac{1}{16x^2}+\tfrac{1}{2}+x^2,\quad \cot^2\theta = \tfrac{1}{16x^2}-\tfrac{1}{2}+x^2 = \left(\tfrac{1}{4x}-x\right)^2\] So \(\cot\theta = \pm\left(\tfrac{1}{4x}-x\right)\). Adding to \(\csc\theta\): \[\csc\theta+\cot\theta = \left(\tfrac{1}{4x}+x\right)+\left(\tfrac{1}{4x}-x\right) = \tfrac{1}{2x}\] or \(\left(\tfrac{1}{4x}+x\right)+\left(x-\tfrac{1}{4x}\right) = 2x\). Therefore 2x or 1/(2x).

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Question 72archived

The runs scored by Pujara against South Africa is more than runs scored against Bangladesh by what percentage?

Question figure
  1. A
    100
  2. B
    150
  3. C
    200
  4. D
    250
Show answer
C. 200

The difference in runs is calculated from the pie chart. The percentage difference can be derived based on the values of runs scored against South Africa (24%) and Bangladesh (8%). The correct answer is 200.

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Question 73archived

If Pujara has scored 1875 runs in total, then what is the difference in runs scored by Pujara against South Africa and New Zealand?

Question figure
  1. A
    150
  2. B
    175
  3. C
    200
  4. D
    250
Show answer
A. 150

Using the total runs (1875) and the percentage for South Africa (24%) and New Zealand (16%) from the pie chart, the difference in runs is 150.

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Question 74archived

What is the sectorial angle (in degrees) made by the runs scored against Australia in the given pie chart?

Question figure
  1. A
    106.8
  2. B
    109.6
  3. C
    112.4
  4. D
    115.2
Show answer
D. 115.2

The sectorial angle for Australia (32%) is calculated by multiplying the percentage by 360 (32% of 360°), giving 115.2°.

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Question 75archived

What should be the least number of runs that Pujara must have scored in total (runs can only be integers)?

Question figure
  1. A
    25
  2. B
    225
  3. C
    375
  4. D
    625
Show answer
A. 25

The least number of runs Pujara must have scored in total can be derived by considering the minimum value for a valid set of scores based on the percentages given in the chart. The correct answer is 25.

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Question 76archived

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No error'. I am vexed at him (1)/ for all that he has (2)/ done for him to date. (3)/ No Error (4)

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

The error is in part 1. The correct phrase should be "I am vexed with him" rather than “I am vexed at him”.

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Question 77archived

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No error'. The Manager warned his team members (1) that if they persist in their (2) obstructionist attitude they would be punished. (3) No Error (4)

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

The error is in part 2. The word "obstructionist" should be replaced with "obstructive," as it correctly describes their attitude.

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Question 78archived

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. Both taciturn and _____, Daniel seldom spoke and never spent money.

  1. A
    wary
  2. B
    cheap
  3. C
    discreet
  4. D
    miserly
Show answer
D. miserly

The word "miserly" fits here because it describes someone who is reluctant to spend money, matching the context of Daniel's behavior.

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Question 79archived

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. He was too _____ to make a statement before the Boss.

  1. A
    shy
  2. B
    tired
  3. C
    timid
  4. D
    coward
Show answer
C. timid

"Timid" is the best fit as it describes someone who lacks the confidence to make a statement, which fits the context of the sentence.

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Question 80archived

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

  1. A
    Abuse
  2. B
    Pretend
  3. C
    Detest
  4. D
    Repeat
Show answer
D. Repeat

Reiterate means to repeat, making "Repeat" the best synonym for the word.

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Question 81archived

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

  1. A
    Wise
  2. B
    Fool
  3. C
    Lover
  4. D
    Companion
Show answer
B. Fool

"Ni*ncompop*" means fool, making "Fool" the correct synonym for the word.

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Question 82archived

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

  1. A
    Torpid
  2. B
    Explicit
  3. C
    Limpid
  4. D
    Murky
Show answer
C. Limpid

The word "Pellucid" means: Clear, transparent, or easily understood. Limpid – completely clear, like water; transparent; also, clear in style or meaning (✅ closest synonym) While "explicit" is related in the sense of clarity in communication, "limpid" is the most direct synonym of "pellucid," especially when referring to clarity in both literal (like water) and figurative (like language) contexts.

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Question 83archived

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

  1. A
    Rigid
  2. B
    Flexible
  3. C
    Fixed
  4. D
    Unshakable
Show answer
B. Flexible

Adamant means unyielding or firm, so "Flexible" is the opposite of Adamant.

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Question 84archived

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/Phrase. To wrangle over an ass's shadow

  1. A
    To waste money over trifles
  2. B
    To punish a person severely for his arrogance
  3. C
    To quarrel over trifles
  4. D
    To keep away from extreme poverty
Show answer
C. To quarrel over trifles

<p"The correct meaning of "To wrangle over an ass's shadow" is "To quarrel over trifles."

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Question 85archived

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/Phrase. Make one's flesh creep

  1. A
    To confuse someone
  2. B
    To flatter someone
  3. C
    To abuse someone
  4. D
    To frighten someone
Show answer
D. To frighten someone

The phrase "Make one's flesh creep" means "To frighten someone," as it refers to a fear reaction.

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Question 86archived

Improve the bracketed part of the sentence. Father (would have been appreciated) your efforts if you had informed him.

  1. A
    would be appreciated
  2. B
    would have appreciated
  3. C
    should have been appreciated
  4. D
    No improvement
Show answer
B. would have appreciated

The correct phrase is "would have appreciated" because the sentence is in past perfect tense, reflecting a hypothetical situation.

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Question 87archived

Improve the bracketed part of the sentence. Neha was (surprised by) her result.

  1. A
    surprised to
  2. B
    surprised from
  3. C
    surprised at
  4. D
    No improvement
Show answer
C. surprised at

The correct phrase is "surprised at," which is the proper expression to use when reacting to a result or outcome.

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Question 88archived

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase. Study of tumors

  1. A
    Oenology
  2. B
    Oncology
  3. C
    Phrenology
  4. D
    Upology
Show answer
B. Oncology

The correct term for the study of tumors is "Oncology," not "Oenology" or "Phrenology."

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Question 89archived

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase. The highest point

  1. A
    Tempest
  2. B
    Outpost
  3. C
    Archive
  4. D
    Zenith
Show answer
D. Zenith

The correct word for the highest point is "Zenith," which refers to the peak or pinnacle of something.

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Question 90archived

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

  1. A
    Literary
  2. B
    Leakeage
  3. C
    Laudable
  4. D
    Loafer
Show answer
B. Leakeage

Leakeage : This word is intended to refer to the act or result of leaking. The provided spelling 'Leakeage' is incorrect. The correct spelling is ‘Leakage’

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Question 91archived

In the following question, out of the four alternatives, select the alternative which is spelt incorrectly.

  1. A
    Anasthetic
  2. B
    Obliterate
  3. C
    Concurrence
  4. D
    Blithesome
Show answer
A. Anasthetic

Let's look at the options: Anasthetic – This is a misspelling of "Anesthetic" Obliterate – Means to destroy completely Concurrence – Means agreement or simultaneous occurrence Blithesome – Means cheerful and carefree

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Question 92archived

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. P: Yet making loans to poor people is hardly a Poverty cure. Q: Segmenting the industry, might be worth while if it allows more of the poor to get access to credit. R: Multinational corporations could take the top microfinance institutions to the next level, and the remainder could take the responsibility of development groups and regional banks. S: Property rights and the role of law matter too.

  1. A
    PRQS
  2. B
    QRPS
  3. C
    SPQR
  4. D
    RSPQ
Show answer
B. QRPS

The correct order of sentences is QRPS. The statement begins with "Yet making loans..." and follows logically with the rest of the information in the paragraph.

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Question 93archived

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. P: But the scenario has quite changed now-a-days by allocating a special budget of funds for security. Q: In the last ten years, budget towards the development of military forces is higher when compared to others. R: India earlier days gave more importance to the development of industry and less importance to other departments. S: This is because of the frightening increase in terrorism all around the world especially emerging after the 9/11 terror attack in U.S

  1. A
    PRQS
  2. B
    SPQR
  3. C
    QSPR
  4. D
    RPSQ
Show answer
D. RPSQ

The correct order of sentences is RSPQ. This option provides the most coherent flow of ideas related to military budget allocation and its importance.

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Question 94archived

In the following question, a sentence has been given in Active/Passive voice. Out of four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice. One should keep one's word.

  1. A
    One's word should be kept.
  2. B
    A word should be keeping.
  3. C
    One’s word has to be kept.
  4. D
    One’s word should be kept by us.
Show answer
A. One's word should be kept.

The given sentence is in Active Voice: "One should keep one's word." Let's break it down: Subject: One Modal verb: should Main verb: keep Object: one's word We are to change it into Passive Voice. Passive Voice structure: [Object] + should be + past participle (V3) + by [subject] So, the passive form becomes: "One's word should be kept." (Note: Since "one" is an indefinite pronoun, we typically omit "by one" in passive voice for naturalness.) ✅ Correct answer: "One's word should be kept."

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Question 95archived

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech. The old man said, "Thanks I shall never forget this kindness, Ankit."

  1. A
    The old man applauded Ankit for his kindness and he shall never forget Ankit.
  2. B
    The old man thanked Ankit and assured him that he would never forget his kindness.
  3. C
    Ankit was being thanked by the old man for his kindness towards an old man.
  4. D
    The old man said thank you to Ankit for his kindness.
Show answer
B. The old man thanked Ankit and assured him that he would never forget his kindness.

The sentence is in direct speech and must be converted to indirect speech. “Thanks I shall never forget this kindness, Ankit.” conveys gratitude and assurance. In indirect speech: "Thanks" becomes "thanked", and "I shall never forget" becomes "he would never forget". Option 2 correctly conveys both ideas — thanking Ankit and assuring him. Other options are either incorrect in structure or change the meaning. Thus, Option 2 is correct.

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Question 96archived

National integration means ______ all the people of the nation into a single whole.

  1. A
    segregating
  2. B
    combining
  3. C
    residing
  4. D
    complying
Show answer
B. combining

"National integration" is a positive unifying concept. The verb should reflect unity. “Combining” means bringing together — suitable in this context. Other options such as “segregating” and “complying” do not fit the context of unity. Hence, Option 2 is the correct answer.

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Question 97archived

It is a _____ that binds together

  1. A
    sentiment
  2. B
    resources
  3. C
    essentials
  4. D
    finances
Show answer
A. sentiment

The phrase “that binds together all people” implies an emotional or ideological force. “Sentiment” refers to such feelings or ideas. “Resources” or “finances” are not relevant here. Thus, “sentiment” best fits the sentence context. Correct answer is Option 1.

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Question 98archived

all people in one ______ bond no matter what their religion, caste, language or history.

  1. A
    real
  2. B
    common
  3. C
    nominal
  4. D
    similar
Show answer
B. common

“Common bond” is a well-known phrase indicating shared unity or connection. “Common” fits perfectly here. Other words like “nominal” or “real” are not contextually ideal. Correct answer is Option 2.

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Question 99archived

It is a _____ cementing force whereby all kinds of people...

  1. A
    weakening
  2. B
    natural
  3. C
    strong
  4. D
    settled
Show answer
C. strong

The phrase “cementing force” implies strength and unity. “Strong” is most appropriate here. “Weakening” is opposite in meaning. Hence, Option 3 is correct.

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Question 100archived

live _____ peacefully and can identify themselves as a part and parcel of a nation.

  1. A
    separately
  2. B
    jointly
  3. C
    happily
  4. D
    together
Show answer
D. together

The correct adverb is one that implies unity and harmony. “Together” accurately conveys this idea. “Separately” contradicts the sense of unity. Hence, Option 4 is the best fit.

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