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  • Question 1
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    Which of the following pair can be used to make a meaningful sentence given below?

    If there is nothing to absorb the energy of sound, they travel on ________, but their intensity _______ as they travel away from their source.

  • Question 2
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    Choose the most appropriate pair of words from the options given below to complete the following.

    In the book, he _________ Hollywood's recent films and ________ them with several independent films.

  • Question 3
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    “The fruits you bought today are ________ and juicier ________ the ones you bought yesterday.”

  • Question 4
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    \(\frac{{\log x}}{{\ell + m - 2n}} = \frac{{\log y}}{{m + n - 2\ell }} = \frac{{\log z}}{{n + \ell - 2m}}\) find x2y2z2

  • Question 5
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    Two cars start from the same  point at the same time. The first car travels at a constant speed of 12 km/h while the second car travels at an initial speed of 6 km/h, which increases by 1 km/h every hour. What will be the distance traveled by the second car by the time it meets the first car?

  • Question 6
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    Find the positive value of \(\sqrt {156 + \sqrt {156 + \sqrt {156 + \ldots } } } \)

  • Question 7
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    . If x + 2y = 30, then  \((\frac{2y}{5} + \frac{x}{3}) +(\frac{x}{5} + \frac{2y}{3})\) will be equal 

  • Question 8
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    Assuming that the population growth trend given in the table will continue, the population (in persons) for the year 2031 will be

    S. No.

    Year

    Population (in persons)

    1

    1981

    1,30,440

    2

    1991

    1,69,572

    3

    2001

    2,20,444

    4

    2011

    2,86,577

  • Question 9
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    A growing world population has caused growing concerns about increasing famine. The population in 2000 was 6 billion. Ten years later the population was 7 billion. There were also more people affected by famines in 2010 than in 2000. Furthermore, in each year from 2000 to 2010, when the world's population increased, so did the number of those affected by famine.

    Based on the information given, which of the following is true?

  • Question 10
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    Read the following passage and find out the inference stated through passage.

    Juvenile delinquency is also termed as Teenage Crime. Basically, juvenile delinquency refers to the crimes committed by minors. These crimes are committed by teenagers without any prior knowledge of how it affects the society. These kind of crimes are committed when children do not know much about outside world.

    Which of the following Inferences is correct with respect to above passage? 

  • Question 11
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    A rectangular store room having dimensions 15 m × 12 m × 8 m is constructed having a ditch in the centre of size 3 m × 2 m . The total number of cuboidal boxes of chocolate having dimensions of 1 m × 1 m × 0.5 m that can be effectively placed in the room is___

  • Question 12
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    When the sum of all possible two digit numbers formed from three different one digit natural numbers are divided by sum of the original three numbers, the result is:

  • Question 13
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    A small production unit now works 6 days per week with 3 ½ hours of first shift every one of the 6 days and 3 hours of second shift for each of the first 5 days. Wage negotiations led to an agreement to work on 5 days a week with both shifts together clocking 7 ½ hours per day with an 8% increase in weekly wages. How much change in the hourly production would mean parity in the agreement for both management and employees?

  • Question 14
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    Given the following four functions f1(n) = n100, f2(n) = (1.2)n, f3(n) = 2n/2, f4(n) = 3n/3 which function will have the largest value for sufficiently large values of n (i.e. n → ∞)?

  • Question 15
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    A population of 2500 persons requires a minimum area of 3000 m2 for primary schools. For the population in four different sectors given in the table below, the Sector having maximum shortage of school area per person is _______

    Sector

    Population

    Number of existing schools

    Existing area of each school (m2)

    1

    20000

    5

    2000

    2

    15000

    4

    4500

    3

    12500

    2

    2500

    4

    10000

    4

    1500

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