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NDA - P & C Test 1205
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NDA - P & C Test 1205
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  • Question 1/5
    1 / -0.33
    A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is –
    Solutions

    The total number of ways for a candidate to select 3 questions from A and 3 question from B =

    The total number of ways for a candidate to select 2 questions from A and 4 question from B =

    The total number of ways for a candidate to select 4 questions from A and 2 question from B =

    Hence number of total possible ways =

  • Question 2/5
    1 / -0.33
    There are 10 students for physics, 16 students for chemistry and 18 students for mathematics and nominated for a gold medal. In how many ways these gold medals be awarded?
    Solutions

    There are physics, chemistry and mathematics students gold medal can be awarded in 10, 16 and 18 ways respectively.

    Hence, by the fundamental principle of addition,

    No. of ways of awarding one of these gold medal ways.

  • Question 3/5
    1 / -0.33
    Find the number of factors of the number 38808, excluding 1 and the expression itself.
    Solutions

    The number 38808 has factors

    Hence, the total number of divisor

    But 1 and no. itself excluding,

    ∴ Required no. of divisor

  • Question 4/5
    1 / -0.33
    How many integral solutions are there to , when .
    Solutions

    Given,

    And  are integers

    Let

    From eq. (i)

    Also, we know that, for ‘n’ things which is identical can be distributed into ‘r’ different groups,

    No. of ways

    Hence, total no. of solution,

  • Question 5/5
    1 / -0.33
    If , find the value of .
    Solutions

    Given,

    Since, we know that,

    By comparing (i) & (ii), we get

     

    Now,

    Hence, the required value of  will be 153.

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