Number System


  1. What is the closet value for the below equation?
    3.157 × 4126 × 3.198
    63.972 × 2835.121









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    Tricky Approach
    Taking approximate values, we have

    3 × 4126 × 3
    64 × 2835

    Correct Option: C

    Tricky Approach
    Taking approximate values, we have

    3 × 4126 × 3
    = 0.2046 ≈ 02
    64 × 2835


  1. A number when divided by 296 gives a remainder 75. When the same number is divided by 37, the remainder will be









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    Let number (dividend) be P.
    ∴  P = 296 × Q + 75 , where Q is the quotient and can have the values 1, 2, 3 etc.
    P = 37 × 8 × Q + 37 × 2 + 1

    Remark : From above it is clear that when the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

    Correct Option: A

    Let number (dividend) be P.
    ∴  P = 296 × Q + 75 , where Q is the quotient and can have the values 1, 2, 3 etc.
    P = 37 × 8 × Q + 37 × 2 + 1
    P = 37 (8Q + 2) + 1
    Thus we see that the remainder
    is 1.
    [Remark : From above it is clear
    when the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.
    Hence, divide 75 by 37, the remainder is 1].



  1. A number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will be









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    Here, 52 is a multiple of 13.
    Hence, the required remainder is obtained on dividing 45 by 13.

    Correct Option: B

    Here, 52 is a multiple of 13.
    Hence, the required remainder is obtained on dividing 45 by 13.
    Required remainder = 6.


  1. A student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the correct answer. The number was :









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    Let assume the given number be P. Then,

    P ×
    3
    P ÷
    3
    = 10
    22

    Correct Option: B

    Let assume the given number be P. Then,

    P ×
    3
    P ÷
    3
    = 10
    22

    ⇒  
    3P
    2P
    = 10
    23

    ⇒  
    9P − 4P
    = 10
    6

    ⇒ 5P = 60
    ⇒  P = 12
    Hence , required number is 12.



  1. When a number is divided by 56, the remainder obtained is 29. What will be the remainder when the number is divided by 8 ?









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    As we know that when the second divisor is factor of first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

    Correct Option: B

    As we know that when the second divisor is factor of first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.
    Hence, on dividing 29 by 8, the remainder is 5.