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SSC CGL 2016 · 2016-09-03 · Shift 1

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Question 1archived

Select the related word/letters/number from the given alternatives. Cell : Cytology :: Birds : ?

  1. A
    Odontology
  2. B
    Mycology
  3. C
    Ornithology
  4. D
    Etymology
Show answer
C. Ornithology

‘Cytology’ is the study of ‘Cells’. Similarly, the study of ‘Birds’ is called ‘Ornithology’. Hence, the correct answer is Ornithology.

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Question 2archived

Select the related word/letters/number from the given alternatives. DHLP : WSOK :: FJNR : ?

  1. A
    UQMI
  2. B
    TPLH
  3. C
    SOKG
  4. D
    VRNJ
Show answer
A. UQMI

The actual pattern is that each letter in DHLP maps to its complement in the alphabet (positions sum to 27): D(4)+W(23)=27, H(8)+S(19)=27, L(12)+O(15)=27, P(16)+K(11)=27. Applying the same: F(6)→U(21), J(10)→Q(17), N(14)→M(13), R(18)→I(9). Hence UQMI.

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Question 3archived

Select the related word/letters/number from the given alternatives. 2 : 10 :: 26 : ?

  1. A
    50
  2. B
    36
  3. C
    42
  4. D
    20
Show answer
A. 50

The underlying pattern is n²+1 for odd n: 1²+1=2, 3²+1=10, 5²+1=26, 7²+1=50. So 26 corresponds to n=5 in the sequence, and the paired term is 7²+1=50. Hence the answer is 50.

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Question 4archived

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

  1. A
    EHJ
  2. B
    JML
  3. C
    PSR
  4. D
    VYX
Show answer
A. EHJ

In JML, PSR, and VYX the pattern is: 1st letter +3 = 2nd letter, 2nd letter -1 = 3rd letter (e.g., J+3=M, M-1=L; P+3=S, S-1=R; V+3=Y, Y-1=X). In EHJ: E+3=H but H+2=J (not -1), so EHJ breaks the pattern. Hence EHJ is the odd one out.

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Question 5archived

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

  1. A
    Tomcat
  2. B
    Baby
  3. C
    Fawn
  4. D
    Cub
Show answer
B. Baby

Fawn (baby deer) and Cub (baby bear/lion/etc.) are species-specific names for young animals. Tomcat is an adult male cat — not an offspring. Baby is a generic, non-species-specific term. The three non-generic animal terms are Tomcat, Fawn, and Cub; Baby stands out as the only word not specific to a particular animal category. Hence Baby is the odd one out.

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Question 6archived

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

  1. A
    11
  2. B
    17
  3. C
    19
  4. D
    21
Show answer
D. 21

11, 17, and 19 are all prime numbers. 21 is not a prime (divisible by 3 and 7). Hence, the odd one out is 21.

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Question 7archived

Arrange the following words as per order in the dictionary: 1. Patriot 2. Pastor 3. Patron 4. Pattern 5. Pastern

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

Arrange in dictionary order: Pastern → Pastor → Patriot → Patron → Pattern So the correct order is: 5, 2, 1, 3, 4

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Question 8archived

A series is given below with one term missing. Choose the correct alternative that will complete the series: SCD, TEF, UGH, ?, WKL

  1. A
    CMN
  2. B
    VJI
  3. C
    VIJ
  4. D
    IJT
Show answer
C. VIJ

Pattern of each letter in the series: First letters: S (19), T (20), U (21), ? (22=V), W (23) Second: C (3), E (5), G (7), ? (I=9), K (11) Third: D (4), F (6), H (8), ? (J=10), L (12) So the missing term is VIJ.

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Question 9archived

A series is given below with one term missing. Choose the correct alternative that will complete the series: 124, 235, 346, 457, ?

  1. A
    455
  2. B
    465
  3. C
    565
  4. D
    568
Show answer
D. 568

Each number increases by 111: 124 + 111 = 235 235 + 111 = 346 346 + 111 = 457 457 + 111 = 568 So, the missing number is 568.

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Question 10archived

F is the brother of A. C is the daughter of A. K is the sister of F. G is the brother of C. Who is the uncle of G?

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

From the statements: F is brother of A → F and A are siblings. C is daughter of A → C is A’s child. K is sister of F → K is sibling to F (and A). G is brother of C → G is also A’s child. So, F is the brother of A and hence, uncle of A’s children (C and G). Answer: F

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Question 11archived

If Jhansi is 12 ahead in rank of Prabha, who ranks 15th from last, then how many students are there in the class if Jhansi ranks 4th in order of merit?

  1. A
    23
  2. B
    27
  3. C
    30
  4. D
    31
Show answer
C. 30

Prabha ranks 15th from the last, so her position from the top = Total students − 15 + 1 = Total − 14. Jhansi is 12 ranks ahead of Prabha, so: Jhansi's rank = (Total − 14) − 12 = Total − 26 But Jhansi's actual rank is 4 (from the top), so: Total − 26 = 4 → Total = 30. Hence, the total number of students is 30.

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Question 12archived

From the given words, select the word which cannot be formed using the letters of the given word. ENVIRONMENT

  1. A
    ENTER
  2. B
    METRE
  3. C
    IRON
  4. D
    MOMENTUM
Show answer
D. MOMENTUM

Word "MOMENTUM" contains two 'M's and two 'U's. The word "ENVIRONMENT" has only one 'M' and one 'U'. Hence, MOMENTUM cannot be formed from the given letters.

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Question 13archived

If 'BASKET' is written as 'TEKSAB', how can 'PILLOW' be written in that code?

  1. A
    LOWPIL
  2. B
    WOLLIP
  3. C
    LOWLIP
  4. D
    WOLPIL
Show answer
B. WOLLIP

The code is simply the reverse of the original word. BASKET → TEKSAB (reverse). PILLOW → WOLLIP. Hence, the correct answer is WOLLIP.

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Question 14archived

If '+' means '−' and '−' means '×', '×' means '÷' and '÷' means '+', then 2 ÷ 6 × 6 ÷ 2 = ?

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

Given expression: 2 ÷ 6 × 6 ÷ 2 Replace operators as per code: ÷ → + × → ÷ So expression becomes: 2 + 6 ÷ 6 + 2 Follow BODMAS: 6 ÷ 6 = 1 So, 2 + 1 + 2 = 5 Answer: 5.

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Question 15archived

If 6 × 9 × 3 = 963 and 4 × 8 × 5 = 845, then 9 × 4 × 7 = ?

  1. A
    974
  2. B
    479
  3. C
    497
  4. D
    749
Show answer
C. 497

The pattern is: arrange the three numbers as [2nd][1st][3rd]. 6 × 9 × 3 → 9, 6, 3 = 963 ✓ 4 × 8 × 5 → 8, 4, 5 = 845 ✓ 9 × 4 × 7 → 4, 9, 7 = 497 Hence, the answer is 497.

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Question 16archived

Select the missing number from the given responses. 359 46? 372 3621036

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

Each column: Multiply the 3 numbers and get the result below. Column 1: 3 × 4 × 3 = 36 Column 2: 5 × 6 × 7 = 210 Column 3: 9 × ? × 2 = 36 → ? = 36 ÷ (9 × 2) = 2 Hence, missing number is 2.

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Question 17archived

Ashok went 8 kms south and turned west and walked 3 kms. Again he turned north and walked 5 kms. He took a final turn to east and walked 3 kms. In which direction was Ashok from the starting point?

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

Path followed: South 8 km → West 3 km → North 5 km → East 3 km East and West cancel out → Net = 0 km South 8 km − North 5 km = 3 km South So Ashok is 3 km South from start point. Direction = South

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Question 18archived

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Statement: Ahimsa should be basic principle of human beings. All of us should practise Ahimsa. Conclusions: I. We all know the real meaning of Ahimsa. Conclusions: II. Ahimsa promotes global harmony.

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

The statement only says that Ahimsa should be practiced. It does not mention that all know its meaning (I), nor does it mention global harmony (II). Hence, neither I nor II follows.

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Question 19archived

Of a cubical container, all the six faces have different markings indicating the position of the equipment packed inside. Which symbol is opposite the face having C?

Question figure
  1. A
    Z
  2. B
    B
  3. C
    X
  4. D
    Y
Show answer
A. Z

From the cube positions and visible faces: Opposite of C is Z. Hence, the correct answer is Z.

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Question 20archived

Identify the diagram that best represents the relationship among classes given below Minutes, Days, Months.

  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)

Minutes are part of Hours, which are part of Days, which are part of Months. So all are subsets of each other. Hence, a set of nested circles best represents the 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
B. Option B (shown in image)

The curves and lines align symmetrically when option 2 is placed in the bottom-right corner of the incomplete grid. It completes both diagonal and circular parts.

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Question 22archived

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

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

The shape in the question is perfectly embedded in option 4. Look closely and the exact arrow-like shape appears in the background figure.

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Question 23archived

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

The dots are symmetrically distributed from the fold in option 2. This is the accurate unfolded pattern that results from the original cuts.

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Question 24archived

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

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

The mirror image will flip letters and positions across the vertical axis (line MN). Option 3 accurately shows the reflection of letters and structure.

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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., G can be represented by 03, 12, etc., and 'L' can be represented by 57, 65, etc. Similarly you have to identify the set for the word 'DATE'

Question figure
  1. A
    23, 68, 24, 97
  2. B
    14, 96, 11, 85
  3. C
    23, 96, 40, 85
  4. D
    32, 89, 10, 68
Show answer
A. 23, 68, 24, 97

Using the matrices given, you look up each letter in either Matrix I or Matrix II and use its row-column number for encoding. The word ‘DATE’ is represented correctly by the combination 23, 68, 24, 97 based on the letter positions in the two matrices.

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Question 26archived

MUDRA Bank has been launched to help

  1. A
    Small business
  2. B
    Marginal farmers
  3. C
    Poor women
  4. D
    Rural sector
Show answer
A. Small business

Mudra Bank was formed to provide loans and financial assistance to small businesses.

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Question 27archived

Which of the following controls the insurance business of India?

  1. A
    RBI
  2. B
    IDBI
  3. C
    SEBI
  4. D
    IRDA
Show answer
D. IRDA

The insurance business in India is regulated by IRDA (Insurance Regulatory and Development Authority of India.

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Question 28archived

The Speaker of Lok Sabha addresses his letter of resignation to the

  1. A
    President of India
  2. B
    Prime Minister
  3. C
    Deputy Speaker of Lok Sabha
  4. D
    The Chief Justice of India
Show answer
C. Deputy Speaker of Lok Sabha

The Speaker of the Lok Sabha addresses his resignation letter to the Deputy Speaker of the Lok Sabha.

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Question 29archived

Who presided over the first session of the Indian National Congress?

  1. A
    A. O. Hume
  2. B
    Surendranath Banerjee
  3. C
    W.C. Banerjee
  4. D
    Badruddin Tayyabji
Show answer
C. W.C. Banerjee

The first session of the Indian National Congress was presided over by W.C. Banerjee in the year 1885.

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Question 30archived

Which of the following writers has called Akbar's Din-i-Ilahi as a monument of his folly, not of wisdom?

  1. A
    Badayuni
  2. B
    Vincent Smith
  3. C
    Barni
  4. D
    W. Haig
Show answer
B. Vincent Smith

Vincent Smith, a noted historian, criticized Akbar's Din-i-Ilahi by calling it “a monument of his folly, not of wisdom”. This reflects his disapproval of Akbar's attempt to merge different religions into one faith.

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Question 31archived

Which of the following region in India is now regarded as an "Ecological Hot Spot"?

  1. A
    Western Himalayas
  2. B
    Eastern Himalayas
  3. C
    Western Ghats
  4. D
    Eastern Ghats
Show answer
C. Western Ghats

The Western Ghats is recognized as one of the world's eight "hottest hotspots" of biological diversity. It is home to a large number of endemic species and is under threat due to human activities, making it an ecological hot spot.

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Question 32archived

The Beaufort scale is used to measure:

  1. A
    Atmospheric pressure
  2. B
    Altitudes of mountains
  3. C
    Wind velocity
  4. D
    Intensity of earthquakes
Show answer
C. Wind velocity

The Beaufort Scale is used to measure wind velocity or wind speed. It was developed by Sir Francis Beaufort and is based on observed sea conditions or land conditions due to wind.

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Question 33archived

The waste management technique that involves the use of micro-organisms to remove or neutralize pollutants from contaminated site is called:

  1. A
    Bio sensor
  2. B
    Bio magnification
  3. C
    Bio remediation
  4. D
    Bio concentration
Show answer
C. Bio remediation

Bioremediation is a technique in which micro-organisms are used to degrade or detoxify pollutants in a contaminated site. It is a sustainable and natural method used in environmental clean-up.

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Question 34archived

In IT networking, which of the following device is used in physical layer?

  1. A
    Repeater
  2. B
    Router
  3. C
    Transport Gateway
  4. D
    Bridge
Show answer
A. Repeater

Repeater is used in the physical layer. It is a network device that regenerates signals and sends them to the next part of the network.

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Question 35archived

The purest form of water in nature is

  1. A
    Rain Water
  2. B
    Lake Water
  3. C
    River Water
  4. D
    Sea Water
Show answer
A. Rain Water

Rain water is the purest form of water in nature.

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Question 36archived

The source of energy that causes the least global warming is

  1. A
    Coal
  2. B
    Geothermal energy
  3. C
    Natural Gas
  4. D
    Petroleum
Show answer
B. Geothermal energy

Geothermal energy causes the least global warming.

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Question 37archived

The constellation 'Sapta Rishi' is known to Westerners as the

  1. A
    Seven Monks
  2. B
    Alpha Centauri
  3. C
    Big Dipper
  4. D
    Small Bear
Show answer
C. Big Dipper

The constellation 'Sapta Rishi' is known to Westerners as the Big Dipper

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Question 38archived

Bridge is the technique used in

  1. A
    Athletics
  2. B
    Wrestling
  3. C
    Weight lifting
  4. D
    Karate
Show answer
B. Wrestling

The technique of 'Bridge' is used in Wrestling.

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Question 39archived

Which of the following books is called the 'Bible of Socialism'?

  1. A
    Economics of Welfare
  2. B
    Das Kapital
  3. C
    Value and Capital
  4. D
    Asian Drama
Show answer
B. Das Kapital

Das Kapital is known as the 'Bible of Socialism'.

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Question 40archived

Which country recently detonated its first hydrogen bomb?

  1. A
    North Korea
  2. B
    South Korea
  3. C
    Iran
  4. D
    Libya
Show answer
A. North Korea

North Korea recently detonated its first hydrogen bomb.

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Question 41archived

The Swarna Jayanti Shahari Rojgar Yojna (SJSRY) mainly aims at creating employment opportunities for which type of employment?

  1. A
    Both self employment and wage employment in urban areas
  2. B
    Self employment in urban areas only
  3. C
    Wage employment in urban areas only
  4. D
    None of these
Show answer
A. Both self employment and wage employment in urban areas

The Swarna Jayanti Shahari Rojgar Yojna (SJSRY) aims to provide both self-employment and wage employment opportunities for the urban poor, thereby fostering their economic independence in urban areas.

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Question 42archived

Who is known as the 'Father of Green Revolution' in India?

  1. A
    G. Paul
  2. B
    Norman Borlaug
  3. C
    Van Neil
  4. D
    Dr. Mitchell
Show answer
B. Norman Borlaug

Norman Borlaug is considered the father of Green Revolution in India.

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Question 43archived

The component used for tuning a radio is basically a variable ____________________.

  1. A
    Resistor
  2. B
    Condenser
  3. C
    Inductor
  4. D
    Transformer
Show answer
B. Condenser

Capacitors are used for tuning radios.

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Question 44archived

Which of the following is not a donor atom?

  1. A
    Phosphorus
  2. B
    Antimony
  3. C
    Arsenic
  4. D
    Aluminium
Show answer
D. Aluminium

Aluminum is not a donor atom. Phosphorus, antimony and arsenic act as donor atoms in semiconductors.

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Question 45archived

Which one of the following parties was founded by Subhash Chandra Bose?

  1. A
    Abhinav Bharat
  2. B
    Azad Hind Sena
  3. C
    Revolutionary Army
  4. D
    Forward Block
Show answer
D. Forward Block

Subhas Chandra Bose founded the Forward Block in 1939 to consolidate the revolutionary forces in India and fight for independence. It was a prominent nationalist party that played a key role in India's freedom movement.

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Question 46archived

0°K is equivalent to

  1. A
    273°C
  2. B
    -273°C
  3. C
    0°C
  4. D
    100°C
Show answer
B. -273°C

0°K is equivalent to -273°C

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Question 47archived

The oxygen liberated during photosynthesis comes from

  1. A
    Water
  2. B
    Carbon Dioxide
  3. C
    Glucose
  4. D
    Chlorophyll
Show answer
A. Water

The oxygen liberated during photosynthesis comes from water.

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Question 48archived

First national park of India that was established in 1936 was named as

  1. A
    Kanha National Park
  2. B
    Bharatpur National Park
  3. C
    Hailey National Park
  4. D
    Rajaji National Park
Show answer
C. Hailey National Park

The first national park in India was Hailey National Park, established in 1936.

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Question 49archived

Who is the 1st Indian female amputee to climb Mount Everest?

  1. A
    Arunima Sinha
  2. B
    Bachendri Pal
  3. C
    Santosh Yadav
  4. D
    Premlata Agarwal
Show answer
A. Arunima Sinha

Arunima Sinha was the first Indian woman to climb Mount Everest with an amputated leg.

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Question 50archived

The term 'Higgs Boson' is associated with

  1. A
    Nano Technology
  2. B
    Oncology
  3. C
    God Particle
  4. D
    Stem Cell Research
Show answer
C. God Particle

The Higgs Boson is also known as the God Particle.

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Question 51archived

If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days?

  1. A
    4 days
  2. B
    3 days
  3. C
    40 days
  4. D
    100 days
Show answer
D. 100 days

One cat kills one mouse in 100 days. Therefore, 4 cats will kill 4 mice in 100 days.

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Question 52archived

In ∆ABC, DE || BC such that AD/BD = 3/5. If AC = 5.6 cm, then AE is equal to

  1. A
    4.2 cm
  2. B
    3.1 cm
  3. C
    2.8 cm
  4. D
    2.1 cm
Show answer
D. 2.1 cm

By Basic Proportionality Theorem, AD/BD = AE/EC = 3/5. Let AE = 3x and EC = 5x. Then AC = AE + EC = 3x + 5x = 8x. Given AC = 5.6 cm, so 8x = 5.6, which gives x = 0.7. Therefore, AE = 3x = 3(0.7) = 2.1 cm.

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Question 53archived

If two circles touch each other internally. The greater circle has its radius as 6 cm and the distance between the centres of the circles is 2 cm. The radius of the other circle is

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

Let R be the radius of the larger circle and r be the radius of the smaller circle. The distance between the centers is R - r. Given R = 6 cm and R - r = 2 cm. Therefore, 6 - r = 2, which gives r = 4 cm.

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Question 54archived

An office opens at 10 AM and closes at 5 PM. The lunch interval is 30 minutes. The ratio of lunch interval to the total period of office hours is:

  1. A
    1:7
  2. B
    1:14
  3. C
    7:1
  4. D
    14:1
Show answer
B. 1:14

Office opens at 10 AM and closes at 5 PM, so the total working hours are 7 hours. The lunch interval is 30 minutes (0.5 hours). The ratio of lunch interval to total office hours is: Ratio = 0.5 / 7 = 1:14. Hence, the correct answer is 1:14.

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Question 55archived

A Bookseller allowed 15% discount on the books sold. Sunil purchased books worth Rs.1500. How much will he have to pay to the Bookseller?

  1. A
    Rs.1200
  2. B
    Rs.1250
  3. C
    Rs.1275
  4. D
    Rs.1300
Show answer
C. Rs.1275

The cost of books is Rs.1500, and a 15% discount is allowed. The discount is: Discount = 15% of 1500 = 0.15 × 1500 = 225. The amount Sunil has to pay = 1500 − 225 = Rs.1275. Hence, the correct answer is Rs.1275.

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Question 56archived

If the ratio between the profit and sale price of an article is 1:5, then the ratio between the sale price and the cost price of that article is:

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

The profit is the difference between the sale price and the cost price. Given the ratio of profit to sale price is 1:5, we have: Profit = Sale price − Cost price = 1x, Sale price = 5x. So, Cost price = Sale price − Profit = 5x − x = 4x. The ratio of sale price to cost price = 5x:4x = 5:4. Hence, the correct answer is 5:4.

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Question 57archived

What percent of 1 day is 36 minutes?

  1. A
    25%
  2. B
    2.5%
  3. C
    3.6%
  4. D
    0.25%
Show answer
B. 2.5%

1 day = 24 hours = 1440 minutes. Percentage of 1 day that is 36 minutes = (36 / 1440) × 100 = 2.5%. Hence, the correct answer is 2.5%.

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Question 58archived

A car covers a certain distance in 25 hrs. If it reduces the speed by 1/5th, the car covers 200 km less in that time. The speed of the car is:

  1. A
    60 km/hr
  2. B
    30 km/hr
  3. C
    40 km/hr
  4. D
    50 km/hr
Show answer
C. 40 km/hr

Let the original speed of the car be x km/hr. The distance covered by the car in 25 hours is 25x. After reducing the speed by 1/5th, the new speed becomes (4/5)x km/hr. The distance covered now is 25 × (4/5)x = 20x. The difference in distance = 25x − 20x = 200 km. So, x = 200 / 5 = 40 km/hr. Hence, the correct answer is 40 km/hr.

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Question 59archived

At what percent of simple interest will a sum of money double itself in 15 years?

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

For a sum to double itself, the simple interest earned equals the principal. Using SI = (P × R × T) / 100: P = (P × R × 15) / 100, so R = 100/15 = 6 2/3% per annum. Hence, the correct answer is 6 2/3%.

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Question 60archived

\[\frac{1}{\sqrt{a}}-\frac{1}{\sqrt{b}} = 0, \text{ then the value of } \frac{1}{a} + \frac{1}{b} \text{ is:}\]

  1. A
    1 / √ab
  2. B
    √ab
  3. C
    2 / √(ab)
  4. D
    1 / 2√ab
Show answer
C. 2 / √(ab)

If 1/√a − 1 / √b = 0, then 1 / √a = 1 / √b. Hence, √a = √b, or a = b. So, 1/a + 1/b = 1/a + 1/a = 2 / a. The value of 1/a + 1/b = 2 / √ab.

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Question 61archived

If x2 + y2 + z2 = 14 and xy + yz + zx = 11, then the value of (x + y + z)2 is:

  1. A
    16
  2. B
    25
  3. C
    36
  4. D
    49
Show answer
C. 36

We know that (x + y + z)2 = x2 + y2 + z2 + 2(xy + yz + zx). Substitute the given values: (x + y + z)2 = 14 + 2 × 11 = 14 + 22 = 36. Hence, the correct answer is 36.

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Question 62archived

If √2 tan 2θ = √6 and 0° < θ < 45°, then the value of sin θ + √3 cos θ − 2tan2θ is:

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

From √2 tan 2θ = √6, we can solve for tan 2θ = √3. Using this, we find the values of sin θ and cos θ using standard trigonometric identities. Substituting these in the expression, we get: sin θ + √3 cos θ − 2tan2θ = 4 / 3. Hence, the correct answer is 4/3.

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Question 63archived

A positive number when decreased by 4, is equal to 21 times the reciprocal of this number. The number is:

  1. A
    3
  2. B
    7
  3. C
    5
  4. D
    9
Show answer
B. 7

Let the number be x. According to the question, x - 4 = 21 * (1/x) x - 4 = 21/x x(x - 4) = 21 x² - 4x - 21 = 0 x² - 7x + 3x - 21 = 0 x(x - 7) + 3(x - 7) = 0 (x - 7)(x + 3) = 0 x = 7 or x = -3 Since the number is positive, x = 7.

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Question 64archived

If \(\tan \alpha = 2\), then the value of \(\frac{\sin \alpha}{\sin^3 \alpha + \cos^3 \alpha}\) is

  1. A
    2 / 9
  2. B
    √5 / 9
  3. C
    10 / 9
  4. D
    5√5 / 9
Show answer
C. 10 / 9

We know that tan α = 2, so sin α / cos α = 2. Therefore, sin α = 2cos α. Now, we calculate the value of sin3 α + cos3 α using the identity: sin3 α + cos3 α = (sin α + cos α)(sin2 α − sin α cos α + cos2 α). By substituting values and simplifying, we get the final result of 10 / 9.

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Question 65archived

If \(x = \sqrt[3]{28}\), \(y = \sqrt[3]{27}\), then the value of \(x + y - \dfrac{1}{x^2 + xy + y^2}\) is

  1. A
    8
  2. B
    7
  3. C
    6
  4. D
    5
Show answer
C. 6

x = ³√28 ∴ x3 = (³√28)3 = 28 Again, y = ³√27 ∴ y3 = (³√27)3 = 27 After substituting the values in equation, we get: = x + y – x + y = 2y = 2 × ³√27 = 2 × 3 = 6 Hence, the correct answer is 6.

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Question 66archived

If x = 12 and y = 4, then the value of (x + y)x/y is:

  1. A
    48
  2. B
    1792
  3. C
    4096
  4. D
    570
Show answer
C. 4096

Given x = 12 and y = 4. (x + y)x/y = (12 + 4)3 = 163 = 4096. Hence, the correct answer is 4096.

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Question 67archived

In a triangle PQR, PQ = PR and ∠Q is twice that of ∠P. Then ∠Q is equal to:

  1. A
    72°
  2. B
    36°
  3. C
    144°
  4. D
    108°
Show answer
A. 72°

Since PQ = PR, triangle PQR is isosceles with the two equal sides meeting at P. The base angles are ∠Q and ∠R, so ∠Q = ∠R. Let ∠P = x. Then ∠Q = 2x and ∠R = ∠Q = 2x. Sum of angles: x + 2x + 2x = 180° → 5x = 180° → x = 36°. Hence, ∠Q = 2x = 72°.

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Question 68archived

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle (in cm) is:

  1. A
    15
  2. B
    16
  3. C
    17
  4. D
    34
Show answer
C. 17

Let the radius of the circle be r. The distance from the centre to the chord is 15 cm, and the length of the chord is 16 cm. Using the Pythagorean theorem, we can find the radius: r2 = (16 / 2)2 + 152 = 82 + 152 = 64 + 225 = 289. r = √289 = 17 cm. Hence, the correct answer is 17.

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Question 69archived

On 24th May 2008, the maximum temperature of Delhi, Kolkata and Mumbai were recorded as 35°C, 33°C and 34°C respectively. What was the maximum temperature of Chennai so that the average maximum temperature of those cities would be 35°C?

  1. A
    34°C
  2. B
    35°C
  3. C
    36°C
  4. D
    38°C
Show answer
D. 38°C

The average temperature of all 4 cities should be 35°C. So, the total temperature = 35 × 4 = 140°C. The sum of temperatures of Delhi, Kolkata, and Mumbai = 35 + 33 + 34 = 102°C. So, the temperature of Chennai = 140 − 102 = 38°C. Hence, the correct answer is 38°C.

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Question 70archived

The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is:

  1. A
    3
  2. B
    24
  3. C
    8
  4. D
    16
Show answer
B. 24

Let the radius of the first sphere be r and the radius of the second sphere be r/2. The curved surface area of the first sphere = 4πr2 The volume of the second sphere = (4/3)π(r/2)3 = (πr3) / 6. Equating these gives 4πr2 = (πr3) / 6, solving which gives r = 24. Hence, the correct answer is 24.

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Question 71archived

The thread of a kite makes 60° angle with the horizontal plane. If the length of the thread is 80 m, then the vertical height of the kite will be:

  1. A
    40 / √3 m
  2. B
    80√3 m
  3. C
    80 m
  4. D
    40√3 m
Show answer
D. 40√3 m

The kite makes a 60° angle with the horizontal, so the vertical height is given by: Height = 80 × sin(60°) = 80 × (√3 / 2) = 40√3 m. Hence, the correct answer is 40√3 m.

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Question 72archived

How many more people are involved in service than in trade?

  1. A
    3660
  2. B
    2660
  3. C
    1660
  4. D
    660
Show answer
B. 2660

Total number of people = 20000 Number of people in service = 20% of 20000 = 4000 Number of people in trade = 6.7% of 20000 = 1340 Difference = 4000 - 1340 = 2660

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Question 73archived

The ratio of the people involved in service to that of industry is

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

Number of people in service = 20% of 20000 = 4000 Number of people in Industry = 30% of 20000 = 6000 Ratio = 4000/6000 = 2/3

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Question 74archived

The sectorial angle made by the people involved in service in the given pie-chart is

  1. A
    36°
  2. B
    90°
  3. C
    72°
  4. D
    108°
Show answer
C. 72°

The percentage of people involved in service is 20%. The total angle in a circle is 360°. Therefore, the sectorial angle for service is (20/100) * 360° = 72°

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Question 75archived

The difference between the maximum number of people involved and minimum number of people involved in various professions is

  1. A
    2640
  2. B
    3640
  3. C
    6320
  4. D
    5320
Show answer
D. 5320

Maximum number of people = 33.30% of 20000 = 6660 Minimum number of people = 6.70% of 20000 = 1340 Difference = 6660 - 1340 = 5320

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Question 76archived

In the following question, out of the four alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it. LABYRINTH

  1. A
    MAZE
  2. B
    PATH
  3. C
    SKYSCRAPER
  4. D
    IMPASSE
Show answer
A. MAZE

LABYRINTH refers to a complex and intricate maze. The best match is MAZE, which also refers to a network of paths or passages.

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Question 77archived

In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it. BARREN

  1. A
    FERTILE
  2. B
    ABUNDANT
  3. C
    HARSH
  4. D
    FALLOW
Show answer
A. FERTILE

BARREN means incapable of producing anything, while FERTILE refers to land or soil that is capable of producing an abundant supply of crops or plants. Hence, the opposite is FERTILE.

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Question 78archived

Four words are given, out of which only one word is spelt correctly. Choose the correctly spelt word and click the button corresponding to it.

  1. A
    Mysogynous
  2. B
    Misogynous
  3. C
    Mysoginous
  4. D
    Misoginious
Show answer
B. Misogynous

The correct spelling is Misogynous, which refers to a person who dislikes or is prejudiced against women.

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Question 79archived

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option. According to scientists(A)/ there are a lot of(B)/ answers about it(C)/ No Error(D).

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

The phrase "answers about it" in part C is incorrect. The correct preposition is "to": it should be "answers to it." Hence, the error is in part C.

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Question 80archived

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option. They are coming (A)/ straight to (B)/ our direction. (C)/ No Error (D).

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

The correct phrase is "straight toward our direction," not "straight to our direction." Hence, the error is in part B.

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Question 81archived

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option. The building collapsed(A)/ at the afternoon (B)/ at about 4 o'clock (C)/ No Error(D).

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

The phrase "at the afternoon" is incorrect. It should be "in the afternoon." Hence, the error is in part B.

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Question 82archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it. The police is ________ on his activities.

  1. A
    keeping an eye
  2. B
    keeping watchful eyes
  3. C
    keeping both eyes
  4. D
    keeping one eye
Show answer
A. keeping an eye

The correct phrase is "keeping an eye," which is a common idiom meaning to observe or watch carefully. Hence, the correct answer is keeping an eye.

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Question 83archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it. Are you ______ stamp collecting?

  1. A
    interested by
  2. B
    interested in
  3. C
    interested at
  4. D
    interested about
Show answer
B. interested in

The correct expression is "interested in," which means to have an interest or concern in something. Hence, the correct answer is interested in.

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Question 84archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it. Your report ________ my statement.

  1. A
    conforms
  2. B
    conforming
  3. C
    confirms
  4. D
    comforting
Show answer
C. confirms

The correct word is "confirms," meaning to verify or support the statement. Hence, the correct answer is confirms.

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Question 85archived

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it. To get cold feet

  1. A
    Drenched
  2. B
    Fear
  3. C
    Felicitate
  4. D
    Fever
Show answer
B. Fear

"To get cold feet" is an idiomatic expression meaning to become nervous or afraid, usually before an important event. Hence, the correct answer is Fear.

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Question 86archived

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it. Beside the mark

  1. A
    Perfect
  2. B
    Not to the point
  3. C
    Relevant
  4. D
    Charming
Show answer
B. Not to the point

"Beside the mark" means something that is not relevant or not to the point. Hence, the correct answer is Not to the point.

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Question 87archived

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it. On tenterhooks

  1. A
    Happy and excited
  2. B
    In suspense and anxiety
  3. C
    Angry and irritated
  4. D
    Surprised and shocked
Show answer
B. In suspense and anxiety

"On tenterhooks" means being in suspense or anxiety, waiting for something to happen. Hence, the correct answer is In suspense and anxiety.

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Question 88archived

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it. Property inherited from one's father or ancestors.

  1. A
    Patrimony
  2. B
    Mercenary
  3. C
    Hereditary
  4. D
    Aristocracy
Show answer
A. Patrimony

The term Patrimony refers to property inherited from one's father or ancestors.

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Question 89archived

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it. A person who is womanish in his habits.

  1. A
    Feminist
  2. B
    Philogynist
  3. C
    Effeminate
  4. D
    Feminine
Show answer
C. Effeminate

An Effeminate person exhibits traits or habits that are considered traditionally feminine.

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Question 90archived

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it. One who is converted from one religion to another.

  1. A
    Pilgrim
  2. B
    Polytheist
  3. C
    Proselyte
  4. D
    Presbyte
Show answer
C. Proselyte

A Proselyte is someone who has been converted from one religion to another.

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Question 91archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". Do you have some sugar?

  1. A
    any sugar
  2. B
    little sugar
  3. C
    small sugar
  4. D
    No improvement
Show answer
A. any sugar

The correct sentence is "Do you have any sugar?" as "some" is unnecessary here, and "any" is more appropriate in questions.

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Question 92archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". Iago lied to Othello about his wife.

  1. A
    lay
  2. B
    laid
  3. C
    lain
  4. D
    No improvement
Show answer
D. No improvement

The sentence is correct as it is: "Iago lied to Othello about his wife." No improvement is needed.

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Question 93archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". It is not possible to tell the entire story in nutshell.

  1. A
    in a nutshell
  2. B
    in the nut
  3. C
    in a shell
  4. D
    No improvement
Show answer
A. in a nutshell

The correct expression is "in a nutshell," which means to summarize something in a concise manner.

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Question 94archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". It is all but same to me whether I am transferred to Mumbai or Kolkata.

  1. A
    all or same
  2. B
    all the same
  3. C
    all one
  4. D
    No improvement
Show answer
B. all the same

The correct phrase is "all the same," meaning it does not matter to the speaker. Hence, the correct answer is all the same.

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Question 95archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". Despite his father's financial assistance he was always hard on.

  1. A
    hard in
  2. B
    hard up
  3. C
    hard out
  4. D
    No improvement
Show answer
B. hard up

The correct phrase is "hard up," meaning in a difficult situation, usually financially. Hence, the correct answer is hard up.

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Question 96archived

Why do a majority of retired elders find retirement tiresome?

  1. A
    Because their homes have been turned into hives of worry.
  2. B
    Because they do not have hobbies to utilise their free time.
  3. C
    Because they had nothing to do.
  4. D
    Because they had plenty of free time.
Show answer
B. Because they do not have hobbies to utilise their free time.

The passage states that retired elders find retirement tiresome because they have too little to do in too much time, and that hobbies could have turned it into a period of creativity and contentment. This implies they lack hobbies to utilize their free time.

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Question 97archived

How have the Japanese been affected by their weekends?

  1. A
    They have increased enjoyment in life.
  2. B
    They enjoy health and happiness.
  3. C
    They use their free time to increase their enjoyment.
  4. D
    They become addicts to coffee or hard liquor and gambling.
Show answer
D. They become addicts to coffee or hard liquor and gambling.

The passage explicitly states that the Japanese, unable to utilize their free time, have become addicts to coffee or hard liquor and gambling.

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Question 98archived

The syllabus-loaded education system

  1. A
    Places a heavy burden on the youth.
  2. B
    Ensures that parents pay attention to the development of children.
  3. C
    Lays emphasis on intelligence.
  4. D
    Gives students a lot of free time.
Show answer
A. Places a heavy burden on the youth.

The passage clearly mentions that the syllabus-loaded education system places a heavy workload on children and youth, emphasizing memory over intelligence. This directly indicates a heavy burden on the youth.

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Question 99archived

The author thinks that

  1. A
    Authorities are more appreciative of the syllabus-loaded education system.
  2. B
    Hobbies play an important role in changing the unfortunate situation.
  3. C
    Co-curricular activities are discouraged.
  4. D
    Only Indians suffer from inability to utilise leisure.
Show answer
B. Hobbies play an important role in changing the unfortunate situation.

The passage highlights the negative consequences of a syllabus-heavy education system that prioritizes rote learning over intelligence. This leads to adults struggling to utilize their leisure time constructively, resulting in various unhealthy habits. The author implicitly suggests that hobbies could provide a solution to this problem by offering a productive and fulfilling way to spend leisure time.

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Question 100archived

The passage tells us that

  1. A
    Hobbies are a waste of time
  2. B
    Hobbies play a crucial role in physical and mental development.
  3. C
    Hobbies wreak havoc on man's health and happiness.
  4. D
    Hobbies can turn us into addicts of coffee, liquor or gambling.
Show answer
B. Hobbies play a crucial role in physical and mental development.

The passage discusses how the lack of hobbies and the pressure from a demanding education system contribute to unhealthy coping mechanisms in adults. While the passage does mention that some individuals resort to unhealthy habits like drinking and gambling, the core message is that the absence of hobbies is a major factor in this problem. The passage implies that productive hobbies are essential for physical and mental well-being.

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