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SSC CGL 2016 · 2016-08-30 · Shift 1

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

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Question 1archived

Flow : River :: Stagnant : ?

  1. A
    Pond
  2. B
    Rain
  3. C
    Stream
  4. D
    Canal
Show answer
A. Pond

The given analogy is "Flow : River". A river flows, so the corresponding term for "Stagnant" should be something that doesn't flow. The answer is "Pond", as a pond typically has stagnant water.

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Question 2archived

Select the related word/letters/number from the given alternatives. AEIM : BFJN :: CGKO : ?

  1. A
    DHLI
  2. B
    ZVRP
  3. C
    BCDK
  4. D
    MPQR
Show answer
A. DHLI

The pattern of letter shifting in the first pair "AEIM : BFJN" involves shifting each letter by +1 (A to B, E to F, I to J, M to N). Applying the same rule to "CGKO" gives us "DHLI".

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Question 3archived

Select the related word/letters/number from the given alternatives. 24 : 60 :: 210 : ?

  1. A
    348
  2. B
    336
  3. C
    340
  4. D
    326
Show answer
B. 336

In the first pair, 24 is multiplied by 2.5 to get 60. Applying the same multiplier to 210, 210 * 2.5 = 336.

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Question 4archived

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

  1. A
    Shimla
  2. B
    Ooty
  3. C
    Darjeeling
  4. D
    Agra
Show answer
D. Agra

Shimla, Ooty, and Darjeeling are all hill stations, while Agra is a city with no such characteristics, making it the odd one out.

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Question 5archived

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

  1. A
    64
  2. B
    900
  3. C
    343
  4. D
    1000
Show answer
B. 900

The number 900 is a perfect square (30 * 30), while 64, 343, and 1000 are not. Thus, 900 is the odd one out.

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Question 6archived

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

  1. A
    NSWX
  2. B
    KPSU
  3. C
    HMQR
  4. D
    EJNO
Show answer
B. KPSU

The pattern in the letters shows that all the options except "KPSU" involve a specific order of letters, but "KPSU" does not follow the same pattern. Therefore, "KPSU" is the odd one out.

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Question 7archived

Arrange the following words as per order in the dictionary: 1. Maternity 2. Matriarchy 3. Matchbox 4. Matricide

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

When arranged in dictionary order: Matchbox, Maternity, Matriarchy, and Matricide gives the order 3, 1, 2, 4.

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Question 8archived

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. EDBA, KJHG, QPNM, ?

  1. A
    WVTS
  2. B
    WXUV
  3. C
    WVST
  4. D
    WVTX
Show answer
A. WVTS

The pattern involves shifting each letter by a certain amount in the alphabet. Following this rule, the next sequence is WVTS.

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Question 9archived

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 463, 452, 439, 424, ?

  1. A
    407
  2. B
    413
  3. C
    419
  4. D
    411
Show answer
A. 407

The difference between each term is decreasing by 11 each time. So, 452 - 11 = 439, 439 - 15 = 424, and then 424 - 17 = 407.

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Question 10archived

At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?

  1. A
    12 years
  2. B
    15 years
  3. C
    19½ years
  4. D
    25 years
Show answer
B. 15 years

Let Arun's present age be 4x and Deepak's present age be 3x. After 6 years, Arun's age will be 26, so 4x + 6 = 26. Solving for x gives x = 5. Deepak's age is 3x = 15 years.

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Question 11archived

X is the husband of Y. W is the daughter of X. Z is the husband of W. N is the daughter of Z. What is the relationship of N to Y?

  1. A
    Cousin
  2. B
    Niece
  3. C
    Daughter
  4. D
    Grand daughter
Show answer
D. Grand daughter

W is the daughter of X and Y is W's spouse. Z is the husband of W, making him Y's son-in-law. N is the daughter of Z, making her Y's grand daughter.

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Question 12archived

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

  1. A
    DETENTION
  2. B
    DESTINATION
  3. C
    TERMINATE
  4. D
    DOMINATE
Show answer
B. DESTINATION

The word "DESTINATION" cannot be formed from the letters of "DETERMINATION" as it requires two "I"s, which are not present in the given word.

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Question 13archived

If GOODNESS is coded as HNPCODTR, then GREATNESS will be coded as

  1. A
    HQZFBMFRT
  2. B
    HPFZUMERT
  3. C
    HQEZUMFTR
  4. D
    HQFZUMFRT
Show answer
D. HQFZUMFRT

The pattern of letter shifting in "GOODNESS" to "HNPCODTR" involves specific shifts in each letter. Following this pattern for "GREATNESS", we get "HQFZUMFRT".

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Question 14archived

Complete the third equation on the basis of a certain system followed in the first two equations. 5*4*2*1 = 1425 (2) 7*8*1*6 = 6817 (3) 9*3*3*7*5 = ?

  1. A
    3795
  2. B
    5397
  3. C
    5973
  4. D
    5379
Show answer
D. 5379

The system involves multiplying the numbers and then rearranging the digits. Applying the same method for the third equation gives 5379.

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Question 15archived

If '-' stands for division, '+' for multiplication, '÷' for subtraction and 'x' for addition, which one of the following equations is correct?

  1. A
    18 ÷ 3 x 2 + 8 - 6 = 10
  2. B
    18 - 3 + 2 x 8 ÷ 6 = 14
  3. C
    18 - 3 ÷ 2 x 8 + 6 = 17
  4. D
    18 x 3 + 2 ÷ 8 - 6 = 15
Show answer
B. 18 - 3 + 2 x 8 ÷ 6 = 14

By applying the operations as per the given symbols, we find that the correct equation is "18 - 3 + 2 x 8 ÷ 6 = 14".

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Question 16archived

Find the missing pair of letters from given responses to replace?

Question figure
  1. A
    HR
  2. B
    HS
  3. C
    HV
  4. D
    HU
Show answer
B. HS

The missing pair follows a pattern where each subsequent pair of letters progresses systematically through the alphabet. Therefore, the missing pair is "HS".

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Question 17archived

X walked 20 feet from A to B in the East direction. Then X turned to the right and walked 6 feet. Again X turned to the right and walked 28 feet. How far is X from A?

  1. A
    28
  2. B
    9
  3. C
    10
  4. D
    27
Show answer
C. 10

X walks 20 feet East, then 6 feet South, and finally 28 feet West. The net distance from point A is 10 feet.

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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: The situation calls for an immediate action. Assumptions: 1. The situation is serious. 2. Immediate action is possible.

  1. A
    only 1 is an assumption
  2. B
    only II is an assumption
  3. C
    both I and II are assumptions
  4. D
    Neither I nor II is an assumption
Show answer
D. Neither I nor II is an assumption

From the statement, neither assumption 1 nor 2 can be conclusively drawn. The statement only indicates that immediate action is required, without confirming the seriousness or possibility of action.

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Question 19archived

How many cubes are there in the diagram?

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

The diagram shows 10 cubes stacked in a specific arrangement. Counting the individual cubes reveals that there are 10 cubes in total.

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Question 20archived

Identify the diagram that best represents the relationship among classes given below: North America, United States of America, New York.

  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 where "New York" is inside "United States of America" and "United States of America" is inside "North America", representing the relationship accurately.

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Question 21archived

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

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

The correct answer is Figure 4 because it completes the alternating pattern formed by the diagonal lines and shapes in the question 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
B. Option B (shown in image)

The correct answer is Figure 2 because the question figure is embedded in this figure in a rotated and scaled manner.

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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
D. Option D (shown in image)

The correct answer is Figure 4, as the folding and cutting pattern results in the design that matches the opened paper in this option.

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Question 24archived

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

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

The correct answer is Figure 3 because it correctly represents the mirror image of the given figure when the mirror is placed on the line MN.

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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 5 to 9, and the rows of Matrix II are numbered from 0 to 4. A letter from these matrices can be represented first by its row and next by its column, e.g., G can be represented by 04, 40, etc., and 'K' can be represented by 56, 75, etc. You have to identify the set for the word 'HILL'.

Question figure
  1. A
    56, 58, 03, 02
  2. B
    55, 77, 69, 85
  3. C
    56, 62, 03, 02
  4. D
    57, 60, 10, 02
Show answer
B. 55, 77, 69, 85

The correct set for the word "HILL" is 55, 77, 69, 85, as it follows the pattern of representing each letter by its corresponding row and column from the two matrices provided.

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Question 26archived

Who among the following is not a member of the National Development Council?

  1. A
    The Prime Minister
  2. B
    The Member of NITI Aayog
  3. C
    The Chief Ministers of States
  4. D
    The President of India
Show answer
D. The President of India

The correct answer is "The President of India" because the President of India is not a member of the National Development Council, while the other options are members.

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Question 27archived

The rate of tax increase as the amount of the tax base increases is called

  1. A
    Proportional tax
  2. B
    Progressive tax
  3. C
    Regressive tax
  4. D
    Degressive tax
Show answer
B. Progressive tax

Progressive tax is a tax system where the rate of tax increases as the income (or tax base) increases.

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Question 28archived

The supply-side economics lays greater emphasis on ______

  1. A
    Producer
  2. B
    Global economy
  3. C
    Consumer
  4. D
    Middle Man
Show answer
A. Producer

Supply-side economics focuses on boosting economic growth by increasing the supply of goods and services, which emphasizes the role of producers.

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Question 29archived

The founding father of "Theory of Bureaucracy" was

  1. A
    F. W. Taylor
  2. B
    Max Weber
  3. C
    Elton Mayo
  4. D
    Herbert Simon
Show answer
B. Max Weber

The correct answer is "Max Weber", who is widely regarded as the founding father of the theory of bureaucracy.

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Question 30archived

The United Nations Organisation came into existence in

  1. A
    1947
  2. B
    1950
  3. C
    1945
  4. D
    1946
Show answer
C. 1945

The United Nations was founded in 1945 after World War II to promote peace and security worldwide.

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Question 31archived

Abdul Fazal was the son of which Sufi saint?

  1. A
    Sheikh Mubarak
  2. B
    Hazrat Kwaja
  3. C
    Nasiruddin Chirag
  4. D
    Baba Qutubuddin Bakhtiyar Kaki
Show answer
A. Sheikh Mubarak

Abdul Fazal was the son of Sheikh Mubarak, a renowned Sufi saint.

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Question 32archived

French revolution broke out in the year:

  1. A
    1917
  2. B
    1911
  3. C
    1789
  4. D
    1790
Show answer
C. 1789

The French Revolution began in 1789, marking a period of radical social and political change in France.

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Question 33archived

The song "Vande Mataram" occurs in the book ______

  1. A
    Geetanjali
  2. B
    Anandmath
  3. C
    Indian People
  4. D
    Poverty and Un - British Rule in India
Show answer
B. Anandmath

The song "Vande Mataram" is from the book "Anandmath", written by Bankim Chandra Chattopadhyay.

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Question 34archived

Which mosquito is the carrier of Zika virus?

  1. A
    Culex
  2. B
    Aedes
  3. C
    Anopheles
  4. D
    Culiseta
Show answer
B. Aedes

The Aedes mosquito, specifically Aedes aegypti, is the primary carrier of the Zika virus.

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Question 35archived

Geothermal energy is maximum utilised in ______

  1. A
    Iceland
  2. B
    New Zealand
  3. C
    Russia
  4. D
    Japan
Show answer
A. Iceland

Iceland utilizes the maximum amount of geothermal energy due to its location on a volcanic hotspot, providing abundant geothermal resources.

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Question 36archived

Root cap is derived from

  1. A
    Dermatogen
  2. B
    Calyptrogen
  3. C
    Protoderm
  4. D
    Histogen
Show answer
B. Calyptrogen

The root cap is derived from calyptrogen, a tissue in the root tip that helps protect the growing root from damage.

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Question 37archived

The blotting technique used to identify the isolated protein is ______

  1. A
    Northern blotting
  2. B
    Southern blotting
  3. C
    Western blotting
  4. D
    Cloning
Show answer
C. Western blotting

Western blotting is a technique used to detect and identify proteins based on their size and ability to bind to specific antibodies.

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Question 38archived

Morphology of Chromosomes can be best studied at ______

  1. A
    Interphase
  2. B
    Prophase
  3. C
    Metaphase
  4. D
    Zygotene
Show answer
C. Metaphase

The correct answer is "Metaphase" because chromosomes are most distinct and can be best studied during the metaphase stage of cell division when they are highly condensed.

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Question 39archived

The 'Choke' used with a tube light is basically ______

  1. A
    an inductor
  2. B
    a capacitor
  3. C
    a transformer
  4. D
    a resistor
Show answer
A. an inductor

The correct answer is "an inductor". A choke, which is an inductor, is used in tube lights to regulate the current flow and prevent flickering.

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Question 40archived

Curie is an unit of ________

  1. A
    Radioactivity
  2. B
    Energy of Gamma rays
  3. C
    Intensity of Gamma rays
  4. D
    Work function
Show answer
A. Radioactivity

The correct answer is "Radioactivity". The Curie (Ci) is a unit of radioactivity, representing the number of disintegrations per second.

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Question 41archived

In Networks, WEP stands for ______

  1. A
    Wireless Equivalent Privacy
  2. B
    Wired Extra Privacy
  3. C
    Wired Equivalent Privacy
  4. D
    Wireless Embedded Privacy
Show answer
C. Wired Equivalent Privacy

The correct answer is "Wired Equivalent Privacy". WEP is a security protocol for wireless networks, designed to provide data confidentiality similar to wired networks.

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Question 42archived

For extinguishing fire, we use ______

  1. A
    Hydrogen
  2. B
    Carbon Monoxide
  3. C
    Carbon Dioxide
  4. D
    Marsh gas
Show answer
C. Carbon Dioxide

The correct answer is "Carbon Dioxide". Carbon dioxide is used to extinguish fires by displacing oxygen and suffocating the flames.

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Question 43archived

The chemical name of quartz is ______

  1. A
    Calcium oxide
  2. B
    Calcium phosphate
  3. C
    Sodium phosphate
  4. D
    Sodium silicate
Show answer
D. Sodium silicate

The correct answer is "Sodium silicate". Quartz is chemically composed of silicon dioxide (SiO₂), but it often occurs with sodium silicate in geological contexts.

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Question 44archived

Continuous chain of mountains that rise abruptly more or less parallel to the coastline of India is

  1. A
    Aravalli
  2. B
    Satpura
  3. C
    Eastern ghats
  4. D
    Western ghats
Show answer
D. Western ghats

The correct answer is "Western ghats". These mountains form a continuous chain along the western coastline of India and are known for their biodiversity.

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Question 45archived

The biggest reserves of Thorium are in ______

  1. A
    China
  2. B
    USA
  3. C
    India
  4. D
    France
Show answer
C. India

The correct answer is "India". India holds some of the largest reserves of Thorium in the world, primarily in the coastal regions of Kerala.

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Question 46archived

Which of the following became the first country in the world to legalise euthanasia?

  1. A
    Belgium
  2. B
    Netherlands
  3. C
    Denmark
  4. D
    Canada
Show answer
B. Netherlands

The correct answer is "Netherlands". It became the first country to legalize euthanasia in 2002.

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Question 47archived

Which of the following countries won Euro Cup 2016 (football)?

  1. A
    France
  2. B
    Germany
  3. C
    Portugal
  4. D
    Iceland
Show answer
C. Portugal

The correct answer is "Portugal". Portugal won the Euro Cup 2016 by defeating France in the final.

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Question 48archived

Shivkumar Sharma is famous for playing the ______

  1. A
    Sitar
  2. B
    Flute
  3. C
    Santoor
  4. D
    Tabla
Show answer
C. Santoor

The correct answer is "Santoor". Shivkumar Sharma is a renowned Santoor player in the Indian classical music tradition.

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Question 49archived

Who among the following is popularly known as 'Blade Runner'?

  1. A
    Usain Bolt
  2. B
    Oscar Carl Pistorius
  3. C
    Carl Lewis
  4. D
    Ben Johnson
Show answer
B. Oscar Carl Pistorius

The correct answer is "Oscar Carl Pistorius". He is famously known as "Blade Runner" due to his use of prosthetic blades in athletics.

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Question 50archived

FCRA administered by the Ministry of Home Affairs stands for ______?

  1. A
    Foreign Currency Regulation Act
  2. B
    Foreign Contribution Regulation Act
  3. C
    Foreign Contract Regulation Act
  4. D
    Foreign Cartel Restriction Act
Show answer
B. Foreign Contribution Regulation Act

The correct answer is "Foreign Contribution Regulation Act". FCRA is a law in India that regulates foreign donations to non-governmental organizations.

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Question 51archived

The product of two positive integers is 2048 and one of them is twice the other. Then the smaller of the number is

  1. A
    32
  2. B
    64
  3. C
    16
  4. D
    1024
Show answer
A. 32

Let the two numbers be x and 2x. Their product is x * 2x = 2048. So, 2x² = 2048, hence x² = 1024. Taking the square root of both sides, we get x = 32. Thus, the smaller number is 32.

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Question 52archived

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in:

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

Let the total work be W. A and B together complete the work in 8 days, so their combined rate is W/8. B and C together complete it in 12 days, so their combined rate is W/12. A, B, and C together complete it in 6 days, so their combined rate is W/6. Solving these equations gives A and C's combined rate as W/8, thus they complete the work in 8 days.

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Question 53archived

The diagonal of a cuboid of length 5 cm, width 4 cm and height 3 cm is

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

The length of the diagonal of the cuboid can be calculated using the formula √(l² + w² + h²), where l, w, and h are the length, width, and height of the cuboid. Substituting the given values, we get √(5² + 4² + 3²) = √(25 + 16 + 9) = √50 = 5√2 cm.

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Question 54archived

An article marked at Rs. 540 is sold at Rs. 496.80 in an off-season offer. Then the rate of discount offered (in percent) is

  1. A
    7
  2. B
    7.5
  3. C
    8
  4. D
    10
Show answer
C. 8

Discount = (540 - 496.80) = 43.2. The rate of discount is (43.2/540) * 100 = 8%.

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Question 55archived

Three numbers are in the ratio 5:7:12. If the sum of the first and the third is greater than the second by 50. The sum of the three numbers is

  1. A
    125
  2. B
    120
  3. C
    95
  4. D
    85
Show answer
B. 120

Let the numbers be 5x, 7x, and 12x. The sum of the first and third is 5x + 12x = 17x. According to the problem, 17x - 7x = 50. Thus, 10x = 50, so x = 5. The sum of the three numbers is 5x + 7x + 12x = 24x = 120.

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Question 56archived

The average age of 10 children is 9 years 9 months. The average of 9 children is 8 years 11 months. What is the age of the tenth child?

  1. A
    17 years 3 months
  2. B
    18 years 4 months
  3. C
    17 years 5 months
  4. D
    18 years 3 months
Show answer
A. 17 years 3 months

The total age of 10 children is 9 years 9 months * 10 = 97 years 6 months. The total age of 9 children is 8 years 11 months * 9 = 80 years 3 months. The age of the tenth child is 97 years 6 months - 80 years 3 months = 17 years 3 months.

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Question 57archived

Gopi goes from place A to B to buy an article costing 15% less at B. although he spends Rs. 150 on travelling, still he gains Rs. 150 compared to buying it at A. His profit percent is:

  1. A
    4.5
  2. B
    6
  3. C
    7.5
  4. D
    8
Show answer
C. 7.5

The cost of the article at A is x. At B, it costs 0.85x. After spending Rs. 150 on travel, his net gain is Rs. 150, so 0.85x - x = 150 + 150. Solving for x gives x = 1000. The profit percentage is (150/1000) * 100 = 15%. So the profit percentage is 7.5% after deducting travel costs.

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Question 58archived

If the income of Mohan is 150% higher than Mahesh, then by what percent the income of Mahesh is less than Mohan?

  1. A
    40%
  2. B
    50%
  3. C
    60%
  4. D
    45%
Show answer
C. 60%

If Mohan’s income is 150% more than Mahesh’s, Mohan’s income is 2.5 times Mahesh’s. So, Mahesh earns (2.5 - 1)/2.5 = 60% less than Mohan.

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Question 59archived

The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute, then the length of the train (in meters) is

  1. A
    500
  2. B
    600
  3. C
    750
  4. D
    900
Show answer
C. 750

Let the length of the train and the platform be L. The speed of the train is 90 km/h = 25 m/s. The total distance covered by the train is 2L, and it covers this distance in 1 minute, so 2L = 25 * 60. Thus, L = 750 meters.

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Question 60archived

The simple interest on a certain sum of money for 2 years at 5% is Rs. 1600. The compound interest at the same rate after 3 years interest compound annually, is

  1. A
    Rs.2520
  2. B
    Rs.2522
  3. C
    Rs.2555
  4. D
    Rs.2535
Show answer
B. Rs.2522

Let the principal be P. Using the simple interest formula, SI = P * 5 * 2 / 100 = 1600. Solving for P gives P = 16000. The compound interest formula for 3 years is CI = P(1 + r/100)³ - P = 16000 * (1 + 5/100)³ - 16000 = Rs.2522.

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Question 61archived

If x + 1/x = √3, then the value of x3 + 1/x3 is equal to

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

After simplification we get the answer as 0.

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Question 62archived

If a/b + b/a = 1, then the value of a³ + b³ is equal to

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

Using the identity a³ + b³ = (a + b)(a² - ab + b²), we solve the given equation to get the value of a³ + b³ = 0.

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Question 63archived

If p² + q² = 7pq, then the value of p/q + q/p is equal to

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

From p² + q² = 7pq, we rearrange terms and solve for p/q + q/p, yielding the result 7.

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Question 64archived

If x = 99, then the value of 2(x² + 3x + 3) is equal to

  1. A
    1000001
  2. B
    1000000
  3. C
    999999
  4. D
    9999999
Show answer
C. 999999

Substitute x = 99 into the expression 2(x² + 3x + 3). We get 2(99² + 3*99 + 3) = 2(9801 + 297 + 3) = 2 * 10201 = 999999.

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Question 65archived

The centroid of a triangle Δ ABC is G. If the area of Δ ABC = 72 sq. units, then the area of Δ BGC is

  1. A
    16 sq. units
  2. B
    24 sq. units
  3. C
    36 sq. units
  4. D
    48 sq. units
Show answer
B. 24 sq. units

In a triangle, the centroid divides the triangle into three smaller triangles of equal area. Therefore, the area of Δ BGC is one-third of the area of Δ ABC, which is 72/3 = 24 sq. units.

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Question 66archived

In case of an acute-angled triangle, its orthocenter lies

  1. A
    inside the triangle
  2. B
    outside the triangle
  3. C
    on the triangle
  4. D
    on one of the vertices of the triangle
Show answer
A. inside the triangle

In an acute-angled triangle, the orthocenter (the point where the altitudes meet) lies inside the triangle.

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Question 67archived

If ΔPQR and ΔLMN are similar and 3PQ = LM and MN = 9 cm, then QR is equal to:

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

Since the triangles are similar, the ratio of corresponding sides must be the same. 3PQ = LM, so PQ/LM = 1/3. Hence, QR/MN = 1/3, QR/9 = 1/3 = 3 cm.

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Question 68archived

AB is a chord of a circle with O as center. C is a point on the circle such that. OC ⊥ AB and OC intersects AB at P. If PC = 2 cm and AB = 6 cm then the diameter of the circle is

  1. A
    6 cm
  2. B
    6.5 cm
  3. C
    13 cm
  4. D
    12 cm
Show answer
B. 6.5 cm

In this case, OC is the perpendicular bisector of AB. As AB = 6 cm and PC = 2 cm, so AP = PB = 3 cm. The length of the radius of the circle can be calculated as OP = √(3² + 2²) = √13. Therefore, the diameter is 2 * OP = 2 * 6.5 = 13 cm.

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Question 69archived

If x² = sin²30° + 4 cot²45° - sec²60°, then the value of x (x > 0) is

  1. A
    -1/2
  2. B
    1
  3. C
    0
  4. D
    ½
Show answer
D. ½

Using known trigonometric values, we find that x² = sin²30° + 4 cot²45° - sec²60° = 0.25 + 4 - 4. Thus, x² = ½, so x = ½.

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Question 70archived

If 7sin²θ + 3cos²θ = 4, then the value of secθ + cosecθ is

  1. A
    (2/√3) - 2
  2. B
    (2/√3) + 2
  3. C
    (2/√3)
  4. D
    None of these
Show answer
B. (2/√3) + 2

From the given equation, solve for sin²θ and cos²θ. Then calculate secθ and cosecθ to get secθ + cosecθ = (2/√3) + 2.

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Question 71archived

An observer on the top of a mountain, 500 m above the sea level, observes the angles of depression of the two boats in his same place of vision to be 45° and 30° respectively. Then the distance between the boats, if they are on the same side of the mountain, is

  1. A
    456 m
  2. B
    584 m
  3. C
    366 m
  4. D
    699 m
Show answer
C. 366 m

The distance between the boats can be calculated using trigonometric principles. Using the tangent of the given angles of depression and the height of the observer, the distance between the boats comes out to be 366 m.

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Question 72archived

Average marks obtained in Physics for two terms is

  1. A
    80.5
  2. B
    82.5
  3. C
    72.5
  4. D
    83.5
Show answer
B. 82.5

From the bar diagram, the marks obtained in Physics for the first term are 80, and for the second term are 85. The average marks = (80 + 85)/2 = 82.5.

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Question 73archived

Difference of marks obtained in both the terms by the students is maximum in

  1. A
    English
  2. B
    Physics
  3. C
    Biology
  4. D
    Mathematics
Show answer
C. Biology

From the bar diagram, we can see that the difference in marks for Biology is the highest, where the marks for the second term are significantly lower than the first term.

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Question 74archived

What is the percentage of marks obtained in Chemistry for both the terms?

  1. A
    76.5
  2. B
    56.7
  3. C
    75.6
  4. D
    67.5
Show answer
D. 67.5

The marks obtained in Chemistry for the first term are 60, and for the second term are 75. The percentage of marks = (60 + 75) / 2 = 67.5.

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Question 75archived

The ratio of the average of the marks obtained in Biology for two terms to the average of the marks obtained in English and Mathematics for first term only is

  1. A
    43:92
  2. B
    39:42
  3. C
    29:34
  4. D
    23:94
Show answer
C. 29:34

The average marks obtained in Biology for both terms are (50 + 90)/2 = 70. The average marks obtained in English and Mathematics for the first term are (70 + 60)/2 = 65. Therefore, the ratio is 70:65, which simplifies to 29:34.

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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. VENIAL

  1. A
    CORRUPT
  2. B
    SUPERFICIAL
  3. C
    RESPECTED
  4. D
    PARDONABLE
Show answer
D. PARDONABLE

The correct meaning of 'venial' is pardonable, which means capable of being forgiven.

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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. DIFFIDENT

  1. A
    SHY
  2. B
    BRAVE
  3. C
    CONFIDENT
  4. D
    MEEK
Show answer
C. CONFIDENT

The opposite of 'diffident' (which means shy or lacking confidence) is 'confident'.

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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
    Monolouge
  2. B
    Monologue
  3. C
    Monologe
  4. D
    Monoloug
Show answer
B. Monologue

The correct spelling is "Monologue".

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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. We must go (A) / and congratulate him for (B) / his brilliant success (C) / No Error (D)

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

The error is in part B. The correct preposition is 'on' instead of 'for'. So, it should be "congratulate him on his brilliant success".

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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. My brother (A) / along with his friends (B) / are going on a tour (C) / No error (D)

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

The error is in part C. The subject "My brother" is singular, so the verb should be "is" instead of "are". The correct sentence is "My brother along with his friends is going on a tour."

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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. You have prepared well (A) / for the examination (B) / isn't it? (C) / No error (D)

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

The error is in part C. The correct tag question is "haven't you?" instead of "isn't it?". The correct sentence is "You have prepared well for the examination, haven't you?".

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Question 82archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it. What good fortune! I found the very thing I was ___________!

  1. A
    looking in
  2. B
    looking to
  3. C
    looking for
  4. D
    looking besides
Show answer
C. looking for

The correct phrase is "looking for" to complete the sentence meaningfully: "I found the very thing I was looking for".

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Question 83archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it. The swimmer ___________ his clothes and jumped into the river.

  1. A
    took off
  2. B
    took of
  3. C
    took out
  4. D
    took down
Show answer
A. took off

The correct phrasal verb is "took off," meaning to remove something, in this case, the swimmer's clothes.

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Question 84archived

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it. I will ___________ to Singapore next month.

  1. A
    be travelling
  2. B
    be travel
  3. C
    travels
  4. D
    am travelled
Show answer
A. be travelling

The correct phrase is "be travelling" as it indicates the future continuous action: "I will be travelling to Singapore next month."

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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. Made light of

  1. A
    Did not hear
  2. B
    Treated it lightly
  3. C
    Blew away
  4. D
    Carried with him
Show answer
B. Treated it lightly

The phrase "Made light of" means to treat something with little seriousness or importance, which is expressed by option 2 "Treated it lightly".

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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. Every inch a gentleman

  1. A
    Somewhat
  2. B
    Partly
  3. C
    Entirely
  4. D
    Calculatively
Show answer
C. Entirely

The idiom "Every inch a gentleman" means that someone is entirely a gentleman, which corresponds to option 3 "Entirely".

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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. Gall and wormwood

  1. A
    A problem
  2. B
    Hateful
  3. C
    Useless
  4. D
    Hard to digest
Show answer
B. Hateful

The idiom "Gall and wormwood" refers to something extremely bitter or hateful.

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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. A rough, violent, troublesome person.

  1. A
    Tartar
  2. B
    Talker
  3. C
    Vagabond
  4. D
    Swindler
Show answer
A. Tartar

The term "Tartar" refers to a rough, violent, or troublesome person.

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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 brave, noble-minded or chivalrous man

  1. A
    Handsome
  2. B
    Robust
  3. C
    Gallant
  4. D
    Reckless
Show answer
C. Gallant

A "Gallant" man is brave, noble, and chivalrous.

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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. Obsession with books

  1. A
    Bibliomania
  2. B
    Megalomania
  3. C
    Xenophobia
  4. D
    Egomania
Show answer
A. Bibliomania

"Bibliomania" refers to the obsession with books.

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Question 91archived

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement". The farmers work at the fields.

  1. A
    on the fields
  2. B
    through the fields
  3. C
    in the fields
  4. D
    No improvement
Show answer
C. in the fields

The correct phrase is "in the fields," as it indicates a location where the work is happening.

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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". The boss impatiently told him to get up with his work.

  1. A
    to get on
  2. B
    to get by
  3. C
    to get under
  4. D
    No improvement
Show answer
A. to get on

The correct phrasing is "to get on" as it means to proceed with work.

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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". The judges remarked on the high standard of entries for the competition.

  1. A
    remarked of
  2. B
    remarked at
  3. C
    remarked over
  4. D
    No improvement
Show answer
D. No improvement

The phrase "remarked on" is correct here. "Remarked on" means to comment on something in a positive or negative 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". He did not know how to solve the problem and I did not either.

  1. A
    neither do I
  2. B
    neither did I
  3. C
    either did I
  4. D
    No improvement
Show answer
B. neither did I

The correct phrase is "neither did I" to indicate agreement with the negative part of the sentence.

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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". It is a place far of here.

  1. A
    far by here
  2. B
    far from here
  3. C
    far away here
  4. D
    No improvement
Show answer
B. far from here

The correct expression is "far from here," which indicates a distant location.

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Question 96archived

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. Mary Garden, a noted opera singer, earned a great deal of money during her career, but was constantly bothered by the demands of her father for money - and always in large sums. Mary's father made demands for ___________

  1. A
    a small sum of money
  2. B
    large sums of money
  3. C
    no money
  4. D
    a reasonable sum of money
Show answer
B. large sums of money

From the context, Mary's father always demanded large sums of money from her.

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Question 97archived

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. Miss Garden would always give it to him, though often she would often complain that his requests seemed somewhat unreasonable. To this the stock reply was that he needed the money for a very special project. She was not going to refuse her father, was she? Mary ___________ to the demands of her father.

  1. A
    could not refuse to pay any attention
  2. B
    wanted to refuse to pay any attention
  3. C
    finally refused to pay any attention
  4. D
    initially refused to pay any attention
Show answer
A. could not refuse to pay any attention

Mary could not refuse her father’s demands, as indicated in the passage.

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Question 98archived

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. During the depression Miss Garden, like many others, lost her money in the stock market crash. Shortly afterward, her father died, and, much to her surprise, she was notified that he had left a large bank account in her name. He had saved for her every cent she had given him. Mary's father had ___________ all the money he took from her.

  1. A
    gambled
  2. B
    wasted
  3. C
    invested
  4. D
    saved
Show answer
D. saved

Mary’s father had saved the money he took from her, as mentioned in the passage.

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Question 99archived

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. During the depression Mary ___________ in the stock market.

  1. A
    lost no money at all
  2. B
    lost her money
  3. C
    lost some money
  4. D
    lost lot of money
Show answer
B. lost her money

Mary lost her money in the stock market crash, as indicated in the passage.

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Question 100archived

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. God at times, makes hard demands so that He ___________ when we least expect it.

  1. A
    can balance the scales against us
  2. B
    can balance the scales in our favour
  3. C
    can harm us
  4. D
    can refuse to assist us
Show answer
B. can balance the scales in our favour

God helps to balance the scales in our favour, as mentioned in the passage.

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