Computer Science & Information Technology (CS) - Previous Year Papers Previous Year Questions

Consider the following two statements about the function f(x) = |x|: P. f(x) is continuous for all real values of x Q. f(x) is differentiable for all real values of x Which of the following is TRUE?

lim x→∞ (x - sin x) / (x + cos x) equals

Which one of the following is NOT necessarily a property of a Group?

Let G = (V, E) be a graph. Define ξ(G) = Σ ixdi, where ix is the number of vertices of degree d in G. If S and T are two different trees with ξ(S) = ξ(T), then

Consider the following logical inferences. I1: If it rains then the cricket match will not be played. Inference: The cricket match was played. Inference: There was no rain. I2: If it rains then the cricket match will not be played. It did not rain. Inference: The cricket match was played. Which of the following is TRUE?

A binary operation ⊕ on a set of integers is defined as x ⊕ y = x2 + y2. Which one of the following statements is TRUE about ⊕?