Q. Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).

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Q. A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.

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Q. The function f(x)=x+1 from the set of integers to itself is onto. Is it True or False?

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Q. The value of ⌊1/2.⌊5/2⌋ ⌋ is ______________

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Q. Which of the following function f: Z X Z → Z is not onto?

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Q. The domain of the function that assign to each pair of integers the maximum of these two integers is ___________

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Q. Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________

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Q. __________ bytes are required to encode 2000 bits of data.

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Q. The inverse of function f(x) = x³ + 2 is ____________

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Q. The function f(x) = x³ is bijection from R to R. Is it True or False?

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Q. The g⁻¹({0}) for the function g(x)= ⌊x⌋ is ___________

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Q. If f(x) = (x³ – 1) / (3x + 1) then f(x) is?

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Q. If f(x) = 3x² + x³logx, then f(x) is?

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Q. The big-O notation for f(n) = (nlogn + n²)(n³ + 2) is?

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Q. The big-theta notation for function f(n) = 2n³ + n – 1 is?

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Q. The big-theta notation for f(n) = nlog(n² + 1) + n²logn is?

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Q. The big-omega notation for f(x, y) = x⁵y³ + x⁴y⁴ + x³y⁵ is?

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Q. If f1(x) is O(g(x)) and f2(x) is o(g(x)), then f1(x) + f2(x) is?

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Q. The little-o notation for f(x) = xlogx is?

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Q. The big-O notation for f(n) = 2log(n!) + (n² + 1)logn is?

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