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John has x children by his first wife. M...

John has x children by his first wife. Mary has `(x+1)` children by her first husnand. They marry and hasve children of their own. The whole family has 24 children. Assuming tht two children of the same parents do not fight prove that the maximum possible number of fights that can take place is 191.

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John has x children by his first wife. Mary has (x+1) children by her first husband. They marry and have children of their own. The whole family has 24 children. Assuming that two children of the same parents do not fight prove that the maximum possible number of fights that can take place is 191.

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. John has x children by his first wife. Mary has (x+1) children by her ...

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  2. The least value of alpha in R for which 4alphax^(2)+(1)/(x)ge1, for al...

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  3. The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is

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  4. Let f : R ->(0,oo) and g : R -> R be twice differentiable functions...

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  5. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^-(t+(1...

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  6. The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|} has a local minimum or a loca...

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  7. A rectagular sheet of fixed permeter with sides having thir lengths in...

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  8. A vertical line passing through the point (h, 0) intersects the ellips...

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  9. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  10. e total number of local maxima and local minima of the function f(x) =...

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  11. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

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  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  13. If f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)ltc, then in (-oo,oo)

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  14. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

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  15. The length of a longest interval in which the function 3sinx-4sin^(3...

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  16. If f(x)=e^(1-x) then f(x) is

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  17. The maximum value of (cosalpha(1))-(cos alpha(2))...(cosalpha(n)), u...

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  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  19. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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