Related InterviewSolutions

• Show that the set G = {a + b√2/a, b ∈ Q} is an infinite abelian group with respect to Binary operation addition. Satisfies closure, associative, identity and inverse properties.
• (i) Let A be Q. Define * on A by x * y = x + y – xy. Is * binary on A ? If so, examine the commutative and associative properties satisfied by * on A. (ii) Let A be Q. Define *on A by x * y = x + y – xy. Is * binary on A ? If so, examine the existence of identity, existence of inverse properties for the operation * on A.
• Which one is the inverse of the statement(p ∨ q) → (p ∧ q) ?(a) (p ∨ q) → (p ∧ q) (b) ¬(p ∨ q) → (p ∧ q) (c) (¬p ∨ ¬q) → (¬p ∧ ¬q)(d) (¬p ∧ ¬q) → (¬p ∨ ¬q)
• Write the converse, inverse, and contrapositive of each of the following implication. (i) If x and y are numbers such that x = y, then x2 = y2 (ii) If a quadrilateral is a square then it is a rectangle
• Explain the basic features of ASCII Code.OrExplain in detail the features of the ASCII character code.
• Write about the postulates of Boolean Algebra.
• Write each of the following sentences in symbolic form using statement variables p and q.(i) 19 is not a prime number and all the angles of a triangle are equal. (ii) 19 is a prime number or all the angles of a triangle are not equal (iii) 19 is a prime number and all the angles of a triangle are equal (iv) 19 is not a prime number
• In the set of integers with operation * defined by a * b = a + b – ab, the value of 3 * (4 * 5) is …(a) 25 (b) 15 (c) 10 (d) 5
• The order of -i in the multiplicative group of 4th roots of unity is …(a) 4 (b) 3 (c) 2 (d) 1
• Determine the truth value of each of the following statements (i) If 6 + 2 = 5 , then the milk is white. (ii) China is in Europe or √3 is an integer (iii) It is not true that 5 + 5 = 9 or Earth is a planet(iv) 11 is a prime number and all the sides of a rectangle are equal