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Consider the set S={1,\ 2,\ 3,\ 4} . Def...

Consider the set `S={1,\ 2,\ 3,\ 4}` . Define a binary operation * on `S` as follows: `a*b=r` , where `r` is the least non-negative remainder when `a b` is divided by 5. Construct the composition table for * on `Sdot`

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Consider the set S={1,\ omega,\ omega^2} of all cube roots of unity...

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  2. Consider the set S={1,\ -1,\ i ,\ -i} of fourth roots of unity. Con...

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  3. Consider the set S={1,\ 2,\ 3,\ 4} . Define a binary operation * on...

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  4. Consider the infimum binary operation ^^ on the set S={1,\ 2,\ 3,\ ...

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  5. Consider a binary operation * on the set {1, 2, 3, 4, 5} given by t...

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  6. Define a binary operation * on the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5} as ...

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  7. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

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  8. Define a binary operation ** on the set A={1,\ 2,\ 3,4} as a**b=a b...

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  9. Construct the composition table for the composition of functions (o...

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  10. Construct the composition table for xx4 on set S={0,\ 1,\ 2,\ 3} .

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  11. Construct the composition table for +5 on set S={0,\ 1,\ 2,\ 3,\ 4}...

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  12. Construct the composition table for xx6 on set S={0,\ 1,\ 2,\ 3,\ 4...

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  13. Construct the composition table for xx5 on Z5={0,\ 1,\ 2,\ 3,\ 4} .

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  14. For the binary operation xx(10) on set S={1,\ 3,\ 7,\ 9} , find the...

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  15. For the binary operation xx7 on the set S={1,\ 2,\ 3,\ 4,\ 5,\ 6} ,...

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  16. Find the inverse of 5 under multiplication modulo 11 on Z(11) .

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  17. Write the multiplication table for the set of integers modulo 5.

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  18. Consider the binary operation * and o defined by the following t...

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  19. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

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  20. Write the identity element for the binary operations * on the set R0...

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