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Higher Study | Engineering Mathematics | Set Theory & Algebra

If G is a cyclic group of order 24 and \({a^{2002}} = {a^n}\) where a ϵ G and 0 < n < 24. Then the value of n is
The number of cosets of H in G is {where, G = (Z, +) and H = (4Z, +)}
How many onto (or surjective) functions are there from an n-element (n ≥ 2) set to a 2-element set?
Suppose X is a set of size n. How many pairs of sets (A,B) exist such that, A ⊆ B ⊆ X .
Consider the following recurrence: f(1) = 1; f(2n) = 2f(n) - 1, for n ≥ 1; f(2n + 1) = 2f(n) + 1, for n ≥ 1. Then, which of the following statements is/are TRUE? 
Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which of the following is TRUE?
Which of the following is termed as Universal gate logic
A tautology is a Boolean formula that is always true. Which of the following is a tautology?
Consider the following properties: A. Reflexive B. Antisymmetric C. Symmetric Let A = {a, b, c, d, e, f, g} and R= {(a, a),(b, b),(c, d),(c, g),(d, g),(e, e),(f, f),(g, g)} be a relation on A. Which of the following property (properties) is (are) satisfied by the relation R ?
Which of the following Boolean rules is correct?
In C++, which of the following operator cannot be overloaded?
Which of the following is a functionally complete set of gates? (i) NAND (ii) NOT
Which of the following is the representation of decimal number (- 147) in 2’s compliment notation on a 12-bit machine ?
Which term is redudent in the expression AB+A’C+BC?
Which of the following is not a valid expression of Boolean Algebra?
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