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Find the least positive integer r such t...

Find the least positive integer r such that `-12 in [r]_13`

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`-12 in [r]_13`
` implies -12 -r =13k, k in z "and" r lt 13`
` implies r = 1`
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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Find the least positive integer r such that 185 in [r]7

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  2. Find the least positive integer r such that -375 in [r]11

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  3. Find the least positive integer r such that -12 in [r]13

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  4. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

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  5. Find least non negative integer r such that 6xx18xx27xx(-225) -= r "(m...

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  6. Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...

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  7. Find least non negative integer r such that 1936xx8789 -= r"(mod4)"

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  8. Find least positive integer x, satisfying 276x+128=4 (mod 7).

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  9. Find three positive integers xi,i=1,1,3 "satisfying" 3x -= 2 "(mod 7)"

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  10. Let X ={x,y} and Y ={u,v}. Write down all the functions that can be de...

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  11. Let X and Y be sets containing m and n elements respectively.What is t...

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  12. Let X and Y be sets containing m and n elements respectively.How many ...

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  13. Examine f :R rarr R, f(x) =x^2functions if it is (i) injective (ii) s...

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  14. Examine f:R rarr [-1,1],f(x) = sin x functions if it is (i) injectiv...

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  15. Examine f:R+ rarr R +, f(x) =x +1/x "where"R+={x in R :x gt 0} functi...

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  16. Examinef:R rarr R ,f(x) =x^3 +1 functions if it is (i) injective (ii)...

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  17. Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...

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  18. Examine f:R rarr R, f(x) = [x] ="the greatest integer" le x. function...

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  19. Examine f:R rarr R, f(x) =|x| functions if it is (i) injective (ii) s...

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  20. Examinef: R rarr R, f(x) ="sgn" x functions if it is (i) injective (i...

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