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On the set Z , of all integers ** is def...

On the set Z , of all integers `**` is defined by `a^(**)b=a+b-5`. If `2^(**)(x^(**)3)=5` then x=

A

5

B

10

C

0

D

3

Text Solution

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The correct Answer is:
B
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An operation * on z^(+) ( the set of all non-negative integers) is defined as a * b = |quad a -b|, AA q,b in z^(+) .Is * a binary operation on z^(+) ?

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Knowledge Check

  • On the set of positive rationals, a binary operation * is defined by a*b= (2ab)/5 . If 2 * x= 3^(-1) then x=

    A
    `2/5`
    B
    `1/6`
    C
    `125/48`
    D
    `5/12`

  • On the set of positive rationals, a binary operation ** is defined by a ** b = (2ab)/(5) If 2 ** x= 3^(-1) , then x =

    A
    `1/6`
    B
    `2/5`
    C
    `5/(12)`
    D
    `(125)/(48)`

  • In Z the set of all integers, the inverse of -7 w.r.t. '**' defined by a**b=a+b+7 for all a, bin Z is

    A
    `-14`
    B
    7
    C
    `14`
    D
    `-7`

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