Number System


  1. When a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 is









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    According to question ,


    ∴  
    Number
    , remainder = 16
    24

    Correct Option: B

    According to question ,


    ∴  
    Number
    , remainder = 16
    24

    Required remainder = 16 – 12 = 4 (because 24 is a multiple of 12.)


  1. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then the dividend is









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    Given , Remainder = 46
    As per the given question ,
    Divisor = 5 × Remainder
    Divisor = 5 × 46 = 230
    And Divisor = 10 × Quotient


    Quotient =
    230
    = 23
    10

    Correct Option: D

    Given , Remainder = 46
    As per the given question ,
    Divisor = 5 × Remainder
    Divisor = 5 × 46 = 230
    And Divisor = 10 × Quotient


    Quotient =
    230
    = 23
    10

    ∴  Dividend = Divisor ×
    Quotient + Remainder
    Dividend = 230 × 23 + 46
    Required dividend = 5290 + 46 = 5336



  1. When two numbers are separately divided by 33, the remainders are 21 and 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be









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    Here , d = 33
    If two numbers are separately divided by a certain divisor (d) leaving remainders r1 and r2, then remainder after their sum is divided by the same divisor.

    Correct Option: D

    Here , d = 33
    If two numbers are separately divided by a certain divisor (d) leaving remainders r1 and r2, then remainder after their sum is divided by the same divisor.
    Required Remainder = r1 + r2 – d
    Required Remainder = 21 + 28 – 33 = 16


  1. When a number is divided by 387, the remainder obtained is 48. If the same number is divided by 43, then the remainder obtained will be–









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    According to question ,


    ∴  
    Number
    , Remainder = 48
    387

    Here, 387 is a multiple of 43.

    Correct Option: C

    According to question ,


    ∴  
    Number
    , Remainder = 48
    387

    Here, 387 is a multiple of 43.
    ∴ Remainder obtained on dividing 48 by 43 = 5
    Hence 5 is the required remainder.



  1. A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been









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    Let the number be p.
    According to question ,


    ∴  
    p + 12
    = 112
    6

    Correct Option: B

    Let the number be p.
    According to question ,


    ∴  
    p + 12
    = 112
    6

    ⇒   p + 12 = 672
    ⇒   p = 672 – 12 = 660

    ∴  Correct answer =
    660
    + 112
    6

    Correct answer =  110 + 12 = 122