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Let **' be the binary operation on N giv...

Let `**`' be the binary operation on N given by `a**'b`= L.c.m. of a and b. Find `5**7, 20**16`

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
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  2. Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...

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  3. Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...

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  4. Consider an operation ** defined on the set A={1,2,4,8} by a**b=LCM ...

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  5. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

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  6. Let ** be a binary operation on the set Q of rational numbers as follo...

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  7. Let A=NtimesN and ast be a binary operation on A defined by (a,b)...

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  8. State whether the following statements are true or false. Justify For...

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  9. Consider a binary operation ** on N defined as a**b=a^3+b^3. Choose th...

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  10. If R1 and R2 are equivalence relations in a set A, show that R1 nn R2 ...

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  11. Let X={1,2,3,4,5,6,7,8,9}. Let R1 be a relation in X given by R1={(x, ...

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  12. Let f: X rarr Y, be a function. Define a relation R in X given by: R={...

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  13. Determine which of the following binary operation on the set R are ass...

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  14. Find the number of all one-one functions from set A={1,2,3} to itself.

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  15. Consider the identity function, IN: N rarr N defined as In(x)=x forall...

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  16. Consider a function f : [0, pi/2] rarr R given by f(x) = sin x and g...

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  17. Let f:RrarrR be defined as f(x) = 10x+7 Find the function g:RrarrR s...

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  18. Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 i...

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  19. If f:RrarrR is defined by f(x) = x^2-3x+2, find f(f(x))

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  20. Show that the function f:R rarr R given by f(x)=x^3 is injective.

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