Number System


  1. The first prime number is ?









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    The first prime number is 2.

    Correct Option: C

    The first prime number is 2.


  1. 10 / 11 =110 / ?









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    Let 10/11 = 110/N,
    Then, 10N = 11 x 110
    ∴ N = (11 x 110) /10 = 121.

    Correct Option: C

    Let 10/11 = 110/N,
    Then, 10N = 11 x 110
    ∴ N = (11 x 110) /10 = 121.



  1. The largest natural number by which the product of three consecutive even naturals is always divisible, is ?









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    Required number is 2 x 4 x 6 = 48.

    Correct Option: C

    Required number is 2 x 4 x 6 = 48.


  1. In a division sum, the divisor is 12 times the quotient and 5 times the remainder . If the remainder be 48 then the dividend is ?









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    Let quotient = Q and remainder = R
    Then, Divisor = 12 Q =5 R
    Now, R = 48
    ⇒ 12Q = 5 x 48
    ⇒ Q = 20

    Correct Option: D

    Let quotient = Q and remainder = R
    Then, Divisor = 12 Q =5 R
    Now, R = 48
    ⇒ 12Q = 5 x 48
    ⇒ Q = 20

    Dividend = Divisor x Quotient + Remainder
    ∴ dividend = ( 20 x 240 + 48 )
    = 4848



  1. If a number is multiplied by three-forth of itself. The value thus obtained is 10800. What is that number?









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    Let the number be N
    According to the question N x ( N x 3)/4 = 10800

    Correct Option: C

    Let the number be N
    According to the question N x ( N x 3)/4 = 10800
    ⇒ 3N2 / 4 = 10800
    ⇒ N2 = (10800 x 4) / 3= 14400
    N = √14400 = 120