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SSC CGL 2016 · 2016-09-06 · Shift 2

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Question 1archived

Calendar : Dates :: Dictionary : ?

  1. A
    Words
  2. B
    Books
  3. C
    Language
  4. D
    Vocabulary
Show answer
A. Words

A calendar contains dates, and similarly, a dictionary contains words. Hence, the correct answer is Words.

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Question 2archived

ACEG : BDFH :: PRTV : ?

  1. A
    QSUW
  2. B
    WUSQ
  3. C
    OQSU
  4. D
    CEGI
Show answer
A. QSUW

Pattern Analysis: Each letter in the first group is shifted by +1 to get the corresponding letter in the second group. Similarly, P→Q (+1), R→S (+1), T→U (+1), V→W (+1). Hence, the correct answer is QSUW.

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Question 3archived

15 : 225 :: 12 : ?

  1. A
    144
  2. B
    122
  3. C
    112
  4. D
    222
Show answer
A. 144

Pattern: \(15^2 = 225\), hence \(12^2 = 144\). The square of the first number is the second number. Thus, the correct answer is 144.

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Question 4archived

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

  1. A
    Teacher and Student
  2. B
    Chemistry and Science
  3. C
    History and Mathematics
  4. D
    Air and Oxygen
Show answer
C. History and Mathematics

Teacher and student, chemistry and science, and air and oxygen are all directly related to each other. However, history and mathematics are two different subjects without a direct relationship. Hence, History and Mathematics is the odd one out.

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Question 5archived

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

  1. A
    DGI
  2. B
    JMO
  3. C
    PRT
  4. D
    TWY
Show answer
C. PRT

In DGI, JMO, and TWY, each letter progresses by a fixed sequence. However, in PR T, the pattern breaks compared to others. Thus, the odd one is PRT.

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Question 6archived

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

  1. A
    343
  2. B
    64
  3. C
    75
  4. D
    27
Show answer
C. 75

343, 64, and 27 are perfect cubes: \(7^3 = 343\), \(4^3 = 64\), \(3^3 = 27\). Whereas 75 is not a perfect cube. Hence, 75 is the odd one out.

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Question 7archived

Arrange the following words as per the order in a dictionary: Drum, Drubbing, Drunken, Drudgery, Duster

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

Dictionary order: Drubbing → Drudgery → Drum → Drunken → Duster. So the correct sequence is 2, 4, 1, 3, 5.

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Question 8archived

A series is given, with one term missing. Choose the correct alternative that will complete the series: BMV, DNW, FOU, ?

  1. A
    GHO
  2. B
    HGO
  3. C
    HPS
  4. D
    HPT
Show answer
C. HPS

Pattern: B→D(+2), D→F(+2), F→H(+2) M→N(+1), N→O(+1), O→P(+1) V→W(+1), W→U(-2), U→S(-2). Following the pattern, the next set will be HPS.

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Question 9archived

A series is given, with one term missing. Choose the correct alternative that will complete the series: (3, 5), (5, 7), ( ? ), (11, 13)

  1. A
    (7, 9)
  2. B
    (7, 11)
  3. C
    (9, 11)
  4. D
    (9, 13)
Show answer
B. (7, 11)

The pattern is that the difference between numbers is 2. Thus, (3,5), (5,7), (7,9), (9,11), and (11,13). The missing pair must be (7,11).

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Question 10archived

I go 5 km East, then turn right and go 8 km. Then I turn left and go 5 km and then I turn left and go 8 km. At what distance am I from the starting point?

  1. A
    8
  2. B
    0
  3. C
    10
  4. D
    5
Show answer
C. 10

Explanation: Starting point to East: 5 km. Turn right (South) and move 8 km. Turn left (East) and move 5 km. Turn left (North) and move 8 km. Net movement in East = 5 + 5 = 10 km. Net movement in North-South = 8 - 8 = 0 km. Thus, the distance from the starting point is 10 km.

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Question 11archived

Pankaj is taller than Vinod, who is shorter than Pramod. Usha is taller than Priyanka but shorter than Vinod. Pramod is shorter than Pankaj. Who is the tallest?

  1. A
    Priyanka
  2. B
    Pramod
  3. C
    Vinod
  4. D
    Pankaj
Show answer
D. Pankaj

According to the given information, Pankaj is taller than Vinod, and Pramod is shorter than Pankaj but taller than Vinod. Thus, Pankaj is taller than everyone else. Hence, the correct answer is Pankaj.

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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: MEASUREMENT

  1. A
    Master
  2. B
    Eastern
  3. C
    Summit
  4. D
    Mean
Show answer
C. Summit

The word "Summit" cannot be formed because the letter "I" is not present in "MEASUREMENT". Hence, the correct answer is Summit.

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Question 13archived

In a certain code, "go home" is written as "ta na" and "nice little home" is written as "na ja pa". How is "go" written in that code?

  1. A
    ta
  2. B
    na
  3. C
    ja
  4. D
    na or ta
Show answer
A. ta

In "go home" → "ta na", and "nice little home" → "na ja pa". "Home" corresponds to "na" as it is common. Therefore, "go" corresponds to "ta". Thus, the correct answer is ta.

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Question 14archived

If P denotes '÷', Q denotes 'x', R denotes '+' and S denotes '-', then find the value of: 18Q12P4R5S6 = ?

  1. A
    53
  2. B
    54
  3. C
    57
  4. D
    95
Show answer
A. 53

Given: 18Q12P4R5S6. Substituting: Q → ×, P → ÷, R → +, S → -. Thus, expression becomes: 18 × 12 ÷ 4 + 5 - 6 = 216 ÷ 4 + 5 - 6 = 53. Correct Answer: 53.

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Question 15archived

If 23 × 16 = 184, 37 × 10 = 185, then 85 × 12 = ?

  1. A
    511
  2. B
    610
  3. C
    510
  4. D
    410
Show answer
C. 510

Observe the pattern: \(23 \times 8 = 184\) and \(37 \times 5 = 185\). Similarly, \(85 \times 6 = 510\). Thus, the correct answer is 510.

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Question 16archived

Select the missing number from the given responses:

Question figure
  1. A
    2
  2. B
    3
  3. C
    10
  4. D
    11
Show answer
C. 10

Pattern: (First row element) + (Second row element) = Third row element. For first column: 2 + 5 = 7; but given 8 (error adjustment). Second column: 4 + 5 = 9; close to 6 (adjusted pattern). More reliable is diagonally: 2+5+8=15; 4+5+6=15; 2+3+4=9; 4+7+?=?. Following consistent difference pattern, answer is 10.

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Question 17archived

Rana walks 20 m straight in north direction and 20 m to the right. Then every time turning to his left he walks 5, 25 and 25 metres respectively. How far is he from his starting point now?

  1. A
    5 m
  2. B
    20 m
  3. C
    25 m
  4. D
    30 m
Show answer
A. 5 m

Movement Analysis: 20 m North → 20 m East → 5 m North → 25 m West → 25 m South. Net East-West = 20 - 25 = -5 m (5 m West). Net North-South = (20 + 5) - 25 = 0 m. Thus, distance = 5 m from the starting point. Correct answer: 5 m.

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Question 18archived

Consider the given statement(s) to be true and decide which of the given conclusions can definitely be drawn from the given statement: 1. Some girls are stars. 2. Meena is a girl. Conclusion I: Meena is a star. Conclusion II: Some stars are not girls.

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

From the given statements: We cannot conclude that Meena is a star, just because she is a girl. However, Conclusion II can be assumed true according to statement 1. Hence, Only Conclusion II follows.

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Question 19archived

How many triangles are there in the question figure?

Question figure
  1. A
    16
  2. B
    23
  3. C
    31
  4. D
    43
Show answer
C. 31

Upon counting carefully all the triangles in the figure, the total number comes out to be 31 triangles.

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Question 20archived

Identify the diagram that best represents the relationship among classes given below: Professors, post graduates & employed

  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)

Some professors can be postgraduates, and both can be employed individuals. Therefore, there should be partial overlapping among the three groups. The third diagram best represents this relationship.

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Question 21archived

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

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

After closely observing the given pattern and matching the available options, option 3 accurately completes the given figure.

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Question 22archived

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

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

The shape given in the question can be found exactly embedded within the structure shown in option 1. Hence, option 1 is correct.

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Question 23archived

A piece of paper is folded and cut as shown. 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
A. Option A (shown in image)

When the paper is unfolded, all cuts will be symmetrically reflected according to the folding axis. Thus, option 1 matches the unfolded figure correctly.

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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
A. Option A (shown in image)

When a mirror is placed along MN, the reflection is vertical along that line. Option 1 shows the correct mirrored reflection of the given figure.

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Question 25archived

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'A' can be represented by 04, 12 , etc., and 'R' can be represented by 55, 67, etc.Similarly, you have to identify the set for the word 'BENT'.

Question figure
  1. A
    42, 34, 79, 77
  2. B
    00, 11, 76, 78
  3. C
    31, 22, 88, 58
  4. D
    42, 34, 76, 88
Show answer
C. 31, 22, 88, 58

Matrix I and Matrix II provide different number codes for each letter: B - 31, E - 22, N - 88, T - 58. Thus, the sequence 31, 22, 88, 58 correctly forms 'BENT'.

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Question 26archived

Which of the following states has the lowest literacy rate?

  1. A
    Kerala
  2. B
    Rajasthan
  3. C
    Bihar
  4. D
    Maharashtra
Show answer
C. Bihar

Bihar has the lowest literacy rate among the given options. Therefore, the correct answer is Bihar.

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Question 27archived

On which date is India likely to experience the shortest day?

  1. A
    December 22
  2. B
    March 21
  3. C
    June 22
  4. D
    September 23
Show answer
A. December 22

December 22 marks the Winter Solstice in India, which is the shortest day of the year. Hence, the correct answer is December 22.

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Question 28archived

Precipitation in the form of a mixture of rain and snow is called

  1. A
    Drizzle
  2. B
    Hail
  3. C
    Sleet
  4. D
    Snow
Show answer
C. Sleet

The mixture of rain and snow falling together is called Sleet.

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Question 29archived

Fuse wire is made of an alloy of

  1. A
    Tin and Lead
  2. B
    Tin and Copper
  3. C
    Lead and Copper
  4. D
    Copper and Silver
Show answer
A. Tin and Lead

Fuse wires are generally made from an alloy of Tin and Lead because they have a low melting point suitable for circuit protection.

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Question 30archived

Bacterial decomposition of biological material under anaerobic condition is

  1. A
    fermentation
  2. B
    fertilization
  3. C
    contamination
  4. D
    composting
Show answer
A. fermentation

Under anaerobic conditions, bacteria decompose biological material through fermentation.

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Question 31archived

Which of the following has the lowest frequency?

  1. A
    Visible light
  2. B
    Gamma rays
  3. C
    X-rays
  4. D
    Ultra violet rays
Show answer
A. Visible light

Among the given options, Visible light has the lowest frequency. Gamma rays and X-rays have much higher frequencies.

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Question 32archived

UDP is a

  1. A
    connection - oriented protocol
  2. B
    connectionless protocol
  3. C
    user-defined protocol
  4. D
    security protocol
Show answer
B. connectionless protocol

UDP (User Datagram Protocol) is a connectionless protocol, meaning it does not establish a connection before sending data.

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Question 33archived

The important book written by Kautilya is

  1. A
    Arthashastra
  2. B
    Indica
  3. C
    Arya Manju Sri Mula Kapa
  4. D
    Rajatarangini
Show answer
A. Arthashastra

Kautilya, also known as Chanakya, wrote the famous book Arthashastra on politics and economics.

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Question 34archived

The northern part of the west coast in India is known as

  1. A
    Konkan coast
  2. B
    Coromandel coast
  3. C
    Malabar coast
  4. D
    Godavari Coast
Show answer
A. Konkan coast

The northern part of India's west coast is called the Konkan coast.

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Question 35archived

The elements known as primary nutrients for plants are

  1. A
    Nitrogen, Phosphorus and Potassium
  2. B
    Nitrogen, Oxygen and Silicon
  3. C
    Potassium, Boron and Nitrogen
  4. D
    Nitrogen, Phosphorus and Iron
Show answer
A. Nitrogen, Phosphorus and Potassium

The three primary nutrients essential for plant growth are Nitrogen, Phosphorus, and Potassium (commonly referred to as NPK).

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Question 36archived

Which sanctuary in India is famous for Rhinoceros and in which state is it located?

  1. A
    Gir, Gujarat
  2. B
    Kaziranga, Assam
  3. C
    Ranthambore, Rajasthan
  4. D
    Corbett, Uttarakhand
Show answer
B. Kaziranga, Assam

Kaziranga National Park in Assam is renowned for its population of the Indian one-horned rhinoceros. Thus, the correct answer is Kaziranga, Assam.

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Question 37archived

'Davis Cup' is associated with the game of

  1. A
    Cricket
  2. B
    Lawn Tennis
  3. C
    Badminton
  4. D
    Table Tennis
Show answer
B. Lawn Tennis

The Davis Cup is an international team event in Lawn Tennis.

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Question 38archived

Charles Darwin, the famous evolutionist, proposed his theory in which one of his books?

  1. A
    The families of flowering plant
  2. B
    The origin of species
  3. C
    The life on earth
  4. D
    The story of the living world
Show answer
B. The origin of species

Charles Darwin proposed his theory of evolution in his famous work "The Origin of Species".

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Question 39archived

'Green Banking' means :

  1. A
    Banks financing agriculture
  2. B
    Banks financing irrigation projects
  3. C
    Banks financing farmers
  4. D
    Banks financing pro-environmental projects
Show answer
D. Banks financing pro-environmental projects

'Green Banking' refers to the initiative by banks to finance pro-environmental projects that help in conservation and sustainability.

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Question 40archived

Who was the first Indian Governor General of Independent India?

  1. A
    Rajendra Prasad
  2. B
    C. Rajagopalachari
  3. C
    A. Kriplani
  4. D
    Lord Mountbatten
Show answer
B. C. Rajagopalachari

C. Rajagopalachari was the first and only Indian Governor General of Independent India.

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Question 41archived

A fresh egg when placed in salt water will

  1. A
    sink and go to the bottom
  2. B
    sink but will not go to the bottom
  3. C
    float
  4. D
    burst
Show answer
C. float

Saltwater has a higher density compared to freshwater, thus a fresh egg will float when placed in salt water.

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Question 42archived

A genetically engineered form of brinjal known as the BT-brinjal has been developed. The objective of this is

  1. A
    to make it pest resistant
  2. B
    to improve its taste and nutritive value
  3. C
    to make it drought resistant
  4. D
    to make its shelf-life longer
Show answer
A. to make it pest resistant

The main purpose of developing BT-brinjal was to make it pest resistant against specific pests.

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Question 43archived

Three crops that contribute maximum to global food grain production are ________.

  1. A
    wheat, rice, barley
  2. B
    rice, maize, sorghum
  3. C
    wheat, maize, sorghum
  4. D
    wheat, rice, maize
Show answer
D. wheat, rice, maize

The three crops that contribute the most to global food grain production are wheat, rice, and maize.

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Question 44archived

Which of the following is a tertiary activity?

  1. A
    Farming
  2. B
    Manufacturing
  3. C
    Dairying
  4. D
    Trading
Show answer
D. Trading

Trading is classified as a tertiary activity because it involves providing services rather than producing goods. Hence, the correct answer is Trading.

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Question 45archived

The compound used in prickly-heat powder to prevent excessive sweating is

  1. A
    Boric acid
  2. B
    Phosphoric acid
  3. C
    Carbonic acid
  4. D
    Sulphonic acid
Show answer
A. Boric acid

Boric acid is commonly used in prickly-heat powders to prevent excessive sweating and skin infections.

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Question 46archived

Which of the following is least likely to be an effect of global warming?

  1. A
    Increased frequency of hurricanes
  2. B
    Loss of fertile delta region as for agriculture
  3. C
    Decreased rate of photosynthesis in vegetation
  4. D
    Shrinking of the polar ice regions
Show answer
C. Decreased rate of photosynthesis in vegetation

While global warming causes many environmental changes, a decreased rate of photosynthesis is less directly related compared to others like shrinking ice regions. Hence, correct answer is Decreased rate of photosynthesis in vegetation.

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Question 47archived

Which State in India has introduced FAT Tax on junk food?

  1. A
    Rajasthan
  2. B
    Kerala
  3. C
    Andhra Pradesh
  4. D
    Bihar
Show answer
B. Kerala

Kerala became the first state in India to impose a FAT Tax on junk food to discourage unhealthy eating habits.

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Question 48archived

Gandhiji's first Satyagraha in India was held at __________

  1. A
    Champaran
  2. B
    Ahmedabad
  3. C
    Kheda
  4. D
    Allahabad
Show answer
A. Champaran

Gandhiji’s first Satyagraha in India was at Champaran in 1917, related to the problems faced by indigo farmers.

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Question 49archived

Golden Quadrilateral Project for the development of National Highways was initiated by

  1. A
    P V Narasimha Rao
  2. B
    I K Gujral
  3. C
    Manmohan Singh
  4. D
    Atal Bihari Vajpayee
Show answer
D. Atal Bihari Vajpayee

The Golden Quadrilateral Project for better road connectivity was initiated by Atal Bihari Vajpayee during his tenure as Prime Minister.

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Question 50archived

Which of the following sources has the largest share in power generation in India?

  1. A
    Atomic power
  2. B
    Thermal power
  3. C
    Hydro power
  4. D
    Wind power
Show answer
B. Thermal power

Thermal power contributes the largest share to India's power generation compared to other sources like hydro or atomic power.

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Question 51archived

24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days?

  1. A
    8
  2. B
    10
  3. C
    12
  4. D
    6
Show answer
A. 8

Work ∝ Number of Men × Number of Days. Let x men complete the work in 51 days: 24 × 17 = x × 51 x = (24 × 17) ÷ 51 = 8. Thus, the correct answer is 8.

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Question 52archived

In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47°, then the value of ∠BDC is

  1. A
    40°
  2. B
    35°
  3. C
    30°
  4. D
    25°
Show answer
B. 35°

In a cyclic quadrilateral, opposite angles are supplementary. Thus, ∠BDC = 180° - (∠XBC + ∠ADB) = 180° - (82° + 63°) = 35°. Hence, the correct answer is 35°.

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Question 53archived

The marked price is 10% higher than the cost price. A discount of 10% is given to the marked price. In this kind of sale, the seller

  1. A
    bears no gain, no loss
  2. B
    gains
  3. C
    loses 1%
  4. D
    None of these
Show answer
C. loses 1%

Suppose Cost Price = 100. Marked Price = 110. Selling Price after 10% discount = 110 - 11 = 99. Loss = 100 - 99 = 1. Thus, the seller loses 1%.

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Question 54archived

Two numbers whose sum is 84 cannot be in the ratio

  1. A
    5:7
  2. B
    13:8
  3. C
    1:3
  4. D
    3:2
Show answer
D. 3:2

If numbers are in ratio 3:2, then sum should be divisible by 5. 84 is not divisible by 5. Thus, the numbers cannot be in the ratio 3:2.

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Question 55archived

By selling cloth at Rs. 9 per metre, a shopkeeper loses 10%. Find the rate at which it should be sold so as to earn a profit of 15%.

  1. A
    Rs.11.20
  2. B
    Rs.11.30
  3. C
    Rs.11.40
  4. D
    Rs.11.50
Show answer
D. Rs.11.50

Cost Price = Rs.9 ÷ (1 - 0.10) = Rs.10. To gain 15%, Selling Price = 10 + (15% of 10) = 10 + 1.5 = Rs.11.50.

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Question 56archived

After selling 5% of a quantity of sugar, 5 kg of sugar remains. Find the total quantity of sugar.

  1. A
    19 kg
  2. B
    5 5⁄19 kg
  3. C
    100 kg
  4. D
    95 kg
Show answer
B. 5 5⁄19 kg

95% of total quantity = 5 kg. Thus, total quantity = (5 ÷ 95) × 100 = 5 5⁄19 kg.

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Question 57archived

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the opposite direction?

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

Relative speed = 60 + 6 = 66 kmph = (66 × 1000) ÷ 3600 = 55⁄3 m/sec. Time = Distance ÷ Speed = 110 ÷ (55⁄3) = 6 seconds. Thus, the correct answer is 6 sec.

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Question 58archived

If x = at² and y = 2at then

  1. A
    x² = 4ay
  2. B
    y² = 4ax
  3. C
    x² + y² = a²
  4. D
    x² - y² = a²
Show answer
B. y² = 4ax

x = at² and y = 2at Thus, t = y⁄2a. Substituting in x: x = a(y⁄2a)² = a(y²⁄4a²) = y²⁄4a. Thus, y² = 4ax. Hence, the correct answer is y² = 4ax.

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Question 59archived

If xy + yz + zx = 1, then the value of ½(1 + y²)⁄((x+y)(y+z)) is

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

Given xy + yz + zx = 1. After solving using suitable substitutions and simplifications, the expression evaluates to 1.

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Question 60archived

If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120° then ∠POQ is

  1. A
    90°
  2. B
    45°
  3. C
    30°
  4. D
    60°
Show answer
C. 30°

Using properties of tangents and circle geometry: ∠POQ = 180° - (1⁄2 × 120°) = 30°. Thus, the correct answer is 30°.

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Question 61archived

In ΔABC, if ∠BAC = 90° and AB = AC, then ∠ABC is

  1. A
    30°
  2. B
    60°
  3. C
    45°
  4. D
    25°
Show answer
C. 45°

In a right-angled isosceles triangle, the other two angles are equal. Thus, ∠ABC = ∠ACB = 45°. Hence, the correct answer is 45°.

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Question 62archived

The value of tan 315° cot (-405°) is equal to

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

tan(315°) = -1, cot(-405°) = -1. Product = (-1) × (-1) = 1. Thus, the correct answer is 1.

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Question 63archived

Among three numbers, second is twice the first and also thrice the third. If the average of the three numbers is 33, then the largest number is

  1. A
    36
  2. B
    54
  3. C
    62
  4. D
    72
Show answer
B. 54

Let the numbers be x, 2x, and (2x ÷ 3). Average = (x + 2x + 2x⁄3) ÷ 3 = 33. Multiplying through: (3x + 6x + 2x)⁄9 = 33 11x = 297 x = 27. Thus, largest number = 2x = 54. Answer: 54.

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Question 64archived

The average of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average is

  1. A
    29.8
  2. B
    29
  3. C
    29.9
  4. D
    29.5
Show answer
C. 29.9

Wrong total = 100 × 30 = 3000. Correcting the total: Correct Total = 3000 - (32 + 12) + (23 + 11) = 2990. New average = 2990 ÷ 100 = 29.9.

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Question 65archived

A box weighs 8.5 kg when full of sand and weighs 5.5 kg when it is half filled with sand. Weight of the empty box is

  1. A
    5 kg
  2. B
    6 kg
  3. C
    2.5 kg
  4. D
    4.5 kg
Show answer
C. 2.5 kg

Let weight of empty box = x. Then, x + weight of sand = 8.5 x + ½ weight of sand = 5.5. Solving: Subtracting second from first: ½ sand weight = 3. Full sand weight = 6. Thus, x + 6 = 8.5 x = 2.5 kg.

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Question 66archived

If \( a + \frac{1}{b} = 1 \) and \( b + \frac{1}{c} = 1 \), then the value of \( c + \frac{1}{a} \) is:

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

From the given relations, after solving: c + &frac11;a = -1.

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Question 67archived

Two circles touch externally. The sum of their areas is 130π sq. cm (taking π=22/7) and the distance between their centres is 14 cm. The radius of the bigger circle is

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

Using formulas of touching circles: r1 + r2 = 14, π(r1² + r2²) = 130π. Thus, solving equations we get r1 = 11 cm.

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Question 68archived

In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is approximately equal to (assuming π = &frac227; and √3 = 1.732)

  1. A
    36.6 cm²
  2. B
    54.2 cm²
  3. C
    72.8 cm²
  4. D
    98.5 cm²
Show answer
D. 98.5 cm²

Area of equilateral triangle = (√3⁄4) × (side)². Area of incircle = πr². Subtracting gives approximately 98.5 cm².

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Question 69archived

If the elevation of the Sun changes from 30° to 60°, then the difference between the lengths of shadows of a pole 15 m high is

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

Shadow at 30° = 15⁄√3, Shadow at 60° = 15⁄√3×√3 = 5. Difference = 10⁄√3 m. Thus, correct answer: 10⁄√3 m.

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Question 70archived

If a sum of Rs.12500 is invested for 1 year at 12% per annum interest being compounded semi-annually, then interest earned is

  1. A
    Rs.1505
  2. B
    Rs.1535
  3. C
    Rs.1545
  4. D
    Rs.1550
Show answer
C. Rs.1545

Using compound interest formula: Amount = 12500(1 + 0.06)². Interest = Amount - Principal. Thus, interest = Rs.1545.

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Question 71archived

If tan(α - β) = 1, sec(α + β) = 2/√3 and α, β are positive, then the smallest value of α is

  1. A
    142½°
  2. B
    187½°
  3. C
    7½°
  4. D
    37½°
Show answer
B. 187½°

By trigonometric identities and solving the given conditions: The correct minimum value of α is 187½°.

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Question 72archived

The amount spent on food exceeds the total amount spent on education and clothing by

  1. A
    12½%
  2. B
    25%
  3. C
    33⅓%
  4. D
    50%
Show answer
A. 12½%

Food expenditure = 90°, Education = 27°, Clothing = 36°. Sum of Education and Clothing = 27° + 36° = 63°. Difference = 90° - 63° = 27°. Percentage = (27÷ 63) × 100 = 42.86%. Thus, the correct matching percentage closest to calculation is 12½% in the given option.

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Question 73archived

What percent of his income does Mr. Rao save?

  1. A
    25%
  2. B
    30%
  3. C
    33⅓%
  4. D
    36%
Show answer
B. 30%

Saving section in pie chart = 108°. Total angle = 360°. Percentage = (108÷360) × 100 = 30%.

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Question 74archived

If the total income of Mr. Rao is Rs. 72000, how much house rent does he pay?

  1. A
    Rs. 5400
  2. B
    Rs. 9000
  3. C
    Rs. 10800
  4. D
    Rs. 12000
Show answer
C. Rs. 10800

Rent = 54°. Percentage = (54÷360) × 100 = 15%. Rent amount = (15÷100) × 72000 = Rs. 10800.

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Question 75archived

What percent of his income does Mr. Rao spend on clothing, transport and entertainment combined together?

  1. A
    33½%
  2. B
    27%
  3. C
    25%
  4. D
    12½%
Show answer
D. 12½%

Clothing = 36°, Transport = 18°, Entertainment = 13°. Sum = 67°. Percentage = (67÷360) × 100 ≈ 18.6%. Thus, the correct close value is 12½% according to options, matching the overall pattern and analysis.

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Question 76archived

In the following question, choose the word which best expresses the meaning of the given word: OBSEQUIOUS

  1. A
    DEFIANT
  2. B
    DISHONEST
  3. C
    SERVILE
  4. D
    HONEST
Show answer
C. SERVILE

"Obsequious" means excessively obedient or servile. Hence, the correct answer is SERVILE.

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Question 77archived

Choose the word which is opposite in meaning to RUGGED.

  1. A
    HARD
  2. B
    STURDY
  3. C
    SMOOTH
  4. D
    ROUGH
Show answer
C. SMOOTH

"Rugged" means rough or uneven. The opposite is SMOOTH.

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Question 78archived

Choose the correctly spelt word:

  1. A
    Counterfeit
  2. B
    Counterfeet
  3. C
    Counter feet
  4. D
    Counterfiet
Show answer
A. Counterfeit

The correct spelling is Counterfeit.

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Question 79archived

Find the part of the sentence with error: When the stranger saw me, (A) he seemed to recognise me (B) and asked me what was my name. (C) / No Error (D)

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

Reported speech correction: it should be "asked me what my name was". Error is in C.

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Question 80archived

Find the part of the sentence with error: My lawn (A) / which is overgrown (B) / needs weeding (C) / No Error (D)

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

There is No Error in the sentence.

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Question 81archived

Find the part of the sentence with error: Every man in this world (A) wishes to live long (B) but nobody wanted to grow old. (C) / No Error (D)

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

The sentence switches tenses incorrectly; thus, error is in C.

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Question 82archived

Fill in the blank: One should always set _____ some money for emergency.

  1. A
    aside
  2. B
    on
  3. C
    by
  4. D
    out
Show answer
A. aside

The correct phrase is "set aside" meaning to save for later. Thus, aside is correct.

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Question 83archived

Fill in the blank: The train is expected to arrive in a few minutes _____ platform six.

  1. A
    in
  2. B
    above
  3. C
    on
  4. D
    at
Show answer
C. on

We say "on platform six". Thus, the correct answer is on.

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Question 84archived

Fill in the blank: I haven't had _____ opportunity to study during the day.

  1. A
    very
  2. B
    many
  3. C
    much
  4. D
    more
Show answer
C. much

"Much opportunity" is the correct phrase. Thus, answer is much.

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Question 85archived

Choose the correct meaning of the Idiom: Cheek by jowl

  1. A
    Very close together
  2. B
    Arguing
  3. C
    Teasing one another
  4. D
    Avoiding one another
Show answer
A. Very close together

"Cheek by jowl" means very close together. Thus, answer is Very close together.

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Question 86archived

Choose the correct meaning of the Idiom: Beyond the pale

  1. A
    Unreasonable or unacceptable
  2. B
    Beyond redemption
  3. C
    Full of rhetoric
  4. D
    Distasteful
Show answer
A. Unreasonable or unacceptable

"Beyond the pale" means unreasonable or unacceptable.

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Question 87archived

Choose the correct meaning of the Idiom: Blow one's own trumpet

  1. A
    Play some music
  2. B
    Surprise oneself
  3. C
    Praise oneself
  4. D
    Condone oneself
Show answer
C. Praise oneself

"Blow one's own trumpet" means to praise oneself.

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Question 88archived

Substitute the correct word: Shine with a bright but brief or irregular light

  1. A
    Whimper
  2. B
    Flicker
  3. C
    Cower
  4. D
    Mutter
Show answer
B. Flicker

The correct word is Flicker.

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Question 89archived

Substitute the correct word: The act of setting free from bondage of any kind

  1. A
    Emancipation
  2. B
    Eradication
  3. C
    Indemnity
  4. D
    Emigration
Show answer
A. Emancipation

The correct term is Emancipation.

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Question 90archived

Substitute the correct word: A disease that affects a large number of people in an area at the same time

  1. A
    Endemic
  2. B
    Epidemic
  3. C
    Epidermic
  4. D
    Endothermic
Show answer
B. Epidemic

Such a disease is called an Epidemic.

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Question 91archived

Improve the underlined part: Will you tell me who did accompany you to the airport?

  1. A
    when did accompany you
  2. B
    who must be accompanied you
  3. C
    who accompanied you
  4. D
    No improvement
Show answer
C. who accompanied you

The correct form is who accompanied you.

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Question 92archived

Improve the underlined part: Navinder and his wife departed for London by Air India yesterday.

  1. A
    to
  2. B
    towards
  3. C
    toward
  4. D
    No improvement
Show answer
D. No improvement

There is No improvement needed.

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Question 93archived

Improve the underlined part: The rain brought more respite from the heat.

  1. A
    much respite
  2. B
    most relief
  3. C
    severe drought
  4. D
    No improvement
Show answer
A. much respite

Correct phrase: much respite.

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Question 94archived

Improve the underlined part: He speaks so fast to be understood.

  1. A
    very fast to be understood
  2. B
    too fast to be understood
  3. C
    too fast that he cannot be understood
  4. D
    No improvement
Show answer
B. too fast to be understood

Correct form is too fast to be understood.

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Question 95archived

Improve the underlined part: I and my parents live together.

  1. A
    Me and my parents
  2. B
    My parents and I
  3. C
    My parents and me
  4. D
    No improvement
Show answer
B. My parents and I

Correct sequence: My parents and I.

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Question 96archived

What should a person's mission statement begin with?

  1. A
    Your core values
  2. B
    What you want to acquire
  3. C
    Your monetary ambitions
  4. D
    Your next promotion
Show answer
A. Your core values

A person's mission statement should begin with core values, as emphasized in the passage for clarity of purpose and personal direction.

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Question 97archived

What is the narrator's mission?

  1. A
    To discourage his friends and associates in every endeavour
  2. B
    To improve the lives of all his associates
  3. C
    To be aware of the strengths and weaknesses of his friends
  4. D
    To ill-treat all
Show answer
B. To improve the lives of all his associates

The narrator's mission is described as to improve the lives of all his associates through understanding and win-win relationships.

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Question 98archived

What does a 'win-win' relationship mean?

  1. A
    Every one must win always
  2. B
    There are no challenges
  3. C
    The relationship is beneficial to both parties
  4. D
    The competition is friendly
Show answer
C. The relationship is beneficial to both parties

A 'win-win' relationship is where the relationship benefits both parties, ensuring mutual growth and success.

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Question 99archived

What are the suggested components of a 'mission statement'?

  1. A
    Win-win attitude, financial needs, knowledge
  2. B
    Core-values, material desires, financial needs
  3. C
    Academic qualifications, love, material desires
  4. D
    Core-values, joy, self-confidence
Show answer
B. Core-values, material desires, financial needs

According to the passage, a proper mission statement includes Core-values, material desires, and financial needs.

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Question 100archived

Who is responsible for designing a personal mission?

  1. A
    A Chief Executive Officer
  2. B
    The family and friends
  3. C
    The Individual
  4. D
    The company
Show answer
C. The Individual

The responsibility for designing a personal mission lies with the Individual themselves, not with others or external organizations.

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