A directory of Objective Type Questions covering all the Computer Science subjects. Here you can access and discuss Multiple choice questions and answers for various compitative exams and interviews.

 1. A binary operation on a set of integers is defined as x y = x^2 + y^2. Which one of the following statements is TRUE about ? a. Commutative but not associative b. Both commutative and associative c. Associative but not commutative d. Neither commutative nor associative

 2. Consider the set S = {1, ω, ω^2}, where ω and w^2 are cube roots of unity. If * denotes the multiplication operation, the structure (S, *) forms a. A group b. A ring c. An integral domain d. A field

 3. Which one of the following in NOT necessarily a property of a Group? a. Commutativity b. Associativity c. Existence of inverse for every element d. Existence of identity

 4. Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE? a. R is symmetric but NOT antisymmetric b. R is NOT symmetric but antisymmetric c. R is both symmetric and antisymmetric d. R is neither symmetric nor antisymmetric

 5. Let S be a set of n elements. The number of ordered pairs in the largest and the smallest equivalence relations on S are: a. n and n b. n^2 and n c. n^2 and 0 d. n and 1

 6. How many different non-isomorphic Abelian groups of order 4 are there a. 2 b. 3 c. 4 d. 5

 7. Let X, Y, Z be sets of sizes x, y and z respectively. Let W = X x Y. Let E be the set of all subsets of W. The number of functions from Z to E is: a. z^2^xy b. z x 2^xy c. z^2^(x + y) d. 2^xyz