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Find the number of elements contained in the range of the function `f (x) = [(x )/(6)][(-6)/(x)]AAx in` (0,30)]` where `[.]` denotes greatest integer function)

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VIKAS GUPTA (BLACK BOOK) ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let the solution set of the equation sqrt([x+[x/2]])+[sqrt({x})+[x/3]]...

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  2. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

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  3. Find the number of elements contained in the range of the function f (...

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  4. Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -...

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  5. Let f (x) = (x+5)/(sqrt(x^(2) +1) ) , then the smallest integral va...

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  6. The number of roots of equation (((x-1)(x-3))/((x-2)(x-4))-e^(x)) (((x...

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  7. Let f (x) =x ^(2)-bx+c,b is an odd positive integer. Given that f (x)=...

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  8. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

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  9. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

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  10. Let f(x)= cx+d/ax+b ​ . Then fof(x) = x provided that.

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  11. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} B={x|2^(1-x)+p le 0;x^2-2(p+7...

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  12. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

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  13. If f(x) is an even function then find the number of distinct real numb...

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  14. The least integral value of m, m inR for which the range of function ...

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  15. Let x1, x2, x3 satisfying the equation x^3 - x^2 + betax + gamma = 0 ...

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  16. Let A={1,2,3,4}and B={0,1,2,3,4,5}. If 'm' is the number of strictly i...

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  17. The value of sum(r=1)^1024 [log2 r] is equal to, ([.] denotes the gre...

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  18. Let f (x) = (ax+b)/(xc+d), where a,b,c d are non zero If f (7) =7,f (1...

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  19. It is pouring down rain and the amount of rain hitting point (x,y) is ...

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  20. Let P (x) be a cubic polynomical with leading co-efficient unity. Let ...

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