Q. Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are?

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Q. A function is defined by mapping f:A→B such that A contains m elements and B contains n elements and m > n then number of bijections are ________

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Q. A bijection is a function which is many-one and onto.

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Q. A floor function map a real number to ___________

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Q. A ceil function map a real number to __________

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Q. A function f(x) is defined as f(x) = x – [x], where [.] represents GIF then __________

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Q. Floor(2.4) + Ceil(2.9) is equal to __________

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Q. For some integer n such that x < n < x + 1, ceil(x) < n.

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Q. For some number x, Floor(x) <= x <= Ceil(x).

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Q. If x, and y are positive numbers both are less than one, then maximum value of floor(x + y) is?

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Q. If x, and y are positive numbers both are less than one, then maximum value of ceil(x + y) is?

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Q. If X = Floor(X) = Ceil(X) then __________

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Q. Let n be some integer greater than 1,then floor((n-1)/n) is 1.

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Q. For an inverse to exist it is necessary that a function should be __________

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Q. If f(x) = y then f⁻¹(y) is equal to __________

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Q. A function f(x) is defined from A to B then f⁻¹ is defined __________

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Q. If f is a function defined from R to R, is given by f(x) = 3x – 5 then f⁻¹(x) is given by __________

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Q. For some bijective function inverse of that function is not bijective.

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Q. f(x) is a bijection than f⁻¹(x) is a mirror image of f(x) around y = x.

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Q. If f is a function defined from R to R, is given by f(x) = x² then f⁻¹(x) is given by?

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