Number System


  1. A number, when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be









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    If the first divisor be a multiple of the second divisor, then
    Required remainder = remainder obtained by dividing the first remainder (36) by the second divisor (17)

    Correct Option: D

    If the first divisor be a multiple of the second divisor, then
    Required remainder = remainder obtained by dividing the first remainder (36) by the second divisor (17)
    ⇒ 36 = ( 17 × 2 ) + 2
    Hence , Required remainder = 2


  1. Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be









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    Let two numbers are P and Q.
    According to question ,
    First number (P) = 17p + 13
    Second number (Q) = 17q + 11

    ∴ 
    P + Q
    =
    17(p + q)
    +
    13 + 11
    171717

    Correct Option: C

    Let two numbers are P and Q.
    According to question ,
    First number (P) = 17p + 13
    Second number (Q) = 17q + 11

    ∴ 
    P + Q
    =
    17(p + q)
    +
    13 + 11
    171717

    ∴  Required remainder
    = Remainder obtained on dividing
    11 + 13 = 24
    ⇒ 24 = ( 17 × 1 ) + 7
    Hence , Required remainder = 7



  1. A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13 ?









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    Here, the first divisor (221) is a multiple of second divisor (13)

    Correct Option: D

    Here, the first divisor (221) is a multiple of second divisor (13)
    Hence, required remainder = remainder obtained on dividing 64 by 13 = 12


  1. When ‘n’ is divisible by 5 the remainder is 2. What is the remainder when n2 is divided by 5 ?









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    If n is divisible by 5 then remainder = 2.
    Required remainder = Remainder obtained by dividing 22 by 5.

    Correct Option: D

    If n is divisible by 5 then remainder = 2.
    Required remainder = Remainder obtained by dividing 22 by 5.
    Hence Remainder = 4



  1. When a number is divided by 36, the remainder is 19. What will be the remainder when the number is divided by 12 ?









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    Here, the first divisor (36) is exactly divisible by the second divisor (12).

    Correct Option: A

    Here, the first divisor (36) is exactly divisible by the second divisor (12).
    ∴ Required remainder = Remainder obtained after 19 is divided by 12 ⇒ Required remainder = ( 19 × 1 ) + 7 , Where 7 is remainder .
    Hence Required remainder = 7