Arithmetic Aptitude :: Sets, Relations and Functions
- If every element of a group G is its own inverse, then G is
- The universal relation A x A on A is
- A partition of {1, 2, 3, 4, 5} is the family
- Let s(w) denote the set of all the letters in w where w is an English word. Let us denote set equality, subset and union relations by =, ⊂ and ∪ respectively. Which of the following is NOT true?
- In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all ?
- Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B ?
- The set of all Equivalence classes of a set A of cardinality C
- Let Z denote the set of all integers. Define f : Z —> Z by f(x) = {x / 2 (x is even) 0 (x is odd) then f is
- Let R be a relation "(x -y) is divisible by m", where x, y, m are integers and m > 1, then R is
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