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If [x] denotes the integral part of x fo...

If [x] denotes the integral part of x for real x, and `S= [(1)/(4)]+[(1)/(4) +(1)/(200)]+[(1)/(4)+(1)/(100)] + [(1)/(4)+(3)/(200)] .....+ [(1)/(4)+ (199)/(200)]` then S is

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VIKAS GUPTA (BLACK BOOK) ENGLISH-FUNCTION -ONE OR MORE THAN ONE ANSWE IS/ARE CORRECT
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  2. Which of the following functions are defined for all x in R? (Where [...

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  3. Let f (x)= {{:(x ^(2),0lt x lt2),(2x-3, 2 le x lt3),(x+2, x ge3):} the...

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  4. Let f:[-pi/3,(2pi)/3] rarr [0,4] be a function defined as f(x)=sqrt(3)...

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  6. In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range...

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  7. Which option (s) is/are ture ?

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  8. If f (x) =[ln (x)/(e)] +[ln (e)/(x)], where [.] denotes greatest inter...

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  9. If f (x)= {{:(x ^(3), , x =Q),(-x ^(3),,x ne Q):}, then :

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  10. Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f...

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  11. f(x) is an even periodic function with period 10. In [0,5] f (x)= {{:(...

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  13. . For x in R^+, if x, [x], {x} are in harmonic progression then the va...

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  15. If the domain of f (x) =1/picos ^(-1)[log (3) ((x^(2))/(3))] where, x ...

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  16. The number of real values of x satisfying the equation;[(2x+1)/3]+[(4x...

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  17. Let f (x= sin ^(6) ((x )/(4)) + cos ^(6) ((x)/(4)). If f ^(n) (x) deno...

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  18. Which of the following is (are) incorrect ?

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  19. If [x] denotes the integral part of x for real x, and S= [(1)/(4)]+[(...

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  20. Let f(x) = log ({x}) [x] g (x) =log ({x})-{x} h (x) log ({x}) {x}...

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