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If (x)/(y) is a rational number, then y...

If `(x)/(y)` is a rational number, then y is always a whole number.

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Knowledge Check

  • If x is a rational number and y is an irrational number, then

    A
    Both x + y and xy are necessarily irrational.
    B
    Both x + y and xy are necessarily rational.
    C
    xy is necessarily irrational, but x + y can be either rational or irrational.
    D
    x+y is necessarily irrational, but xy can be either rational or irrational.

  • Which of the following is always a whole number?

    A
    Atomic number
    B
    Atomic volume
    C
    Atomic weight
    D
    None of these

  • Which of the fo!lowing is always a whole number?

    A
    Atomic number
    B
    Atomic volume
    C
    Atomic weight
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Which of the following statements are true and which are false? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

    If x is a rational number and y is an irrational number, then (a) both x + y a n d x y are necessarily rational (b) both x + y a n d x y are necessarily irrational (c) x y is necessarily irrational, but x + y can be either rational or irrational (d) x + y is necessarily irrational, but x y can be either rational or irrational

    CLOSURE PROPERTY The sum of any two rational numbers is always a rational number.

    CLOSURE PROPERTY The product or multiplication of any two rational numbers is always a rational number.

    Which property of an element is always a whole number?

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