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Determine whether a ** b = "GCD" {a,b} ...

Determine whether ` a ** b = "GCD" {a,b} "on" N` operations as defined by * are binary operations on the sets specified in each case. Give reasons if it is not a binary operation.

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for all `a,b in N, GCD {a,b} in N `
`implies a**b in N`
` implies **` is a binary operation on N.
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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
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  12. Determine whether a**b ="min" {a,b} "on" N operations as defined by * ...

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  13. Determine whether a ** b = "GCD" {a,b} "on" N operations as defined ...

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  14. Determine whether a**b ="LCM" {a,b} "on" N operations as defined by *...

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  15. Determine whether a**b = "LCM" {a,b} "on" {0,1,2,3,4…..,10} operation...

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  16. Determine whether a**b=sqrt(a^2+b^2) on Q+ operations as defined by *...

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  17. Determine whether a**b= axx b("mod" 5) "on" {0,1,2,3,4} operations as ...

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  18. Determine whether a**b =a^2 +b^2 "on" N operations as defined by * are...

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  19. Determine whether a**b = a+ b-ab "on" R-{1} operations as defined by ...

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  20. Constract the composition table/multiplication table for the binary op...

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