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If a binary operation * is defined on the set `Z` of integers as `a ast b=3a-b` , then the value of `(2 ast 3) ast 4` is

A

2

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
`(2*3)=3 xx 2-3=>3`
`3*4= 3 xx 4-3=> 2`
`(2*3)*4=2`
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

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  2. For the binary operation * on Z defined by a ast b=a+b+1 the identit...

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  3. If a binary operation * is defined on the set Z of integers as a ast...

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  4. Q^+ denote the set of all positive rational numbers. If the binary ope...

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  5. If G is the set of all matrices of the form [xxxx] , where x in R-...

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  6. Q^+ is the set of all positive rational numbers with the binary ope...

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  7. If the binary operation o. is defined on the set Q^+ of all positive r...

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  8. Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b...

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  9. Which of the following is true? * defined by a*b=(a+b)/2 is a binar...

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  10. The binary operation * defined on N by a*b=a+b+a b for all a ,\ b i...

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  11. If a binary operation * is defined by a*b=a^2+b^2+a b+1 , then (2*3...

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  12. Let * be a binary operation on R defined by a*b=a b+1 . Then, * is ...

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  13. Subtraction of integers is

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  14. The law a+b=b+a is called

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  15. An operation * is defined on the set Z of non-zero integers by a*b=a/...

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  16. On Z an operation * is defined by a * b=a^2+b^2 for all a ,\ b in Z...

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  17. A binary operation ast on Z defined by a ast b=3a+b for all a ,\ b i...

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  18. Letastbe a binary operation on N defined by a ast b=a+b+10 for all a...

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  19. Consider the binary operation ast defined on Q-{1} by the rule a ast...

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  20. For the binary operation ast defined on R-{-1} by the rule a ast b=a...

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