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Class 12

Types of Relations and Functions — Quiz

Five questions on types of relations, equivalence classes and one-one and onto functions. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. On A={1,2,3}A = \{1, 2, 3\}, the relation R={(1,1),(2,2),(3,3),(2,3)}R = \{(1, 1), (2, 2), (3, 3), (2, 3)\} is
  2. On Z\mathbf{Z}, let R={(a,b):a−b is divisible by 6}R = \{(a, b) : a - b \text{ is divisible by } 6\}. How many distinct equivalence classes does RR have?
  3. On A={1,2,…,9}A = \{1, 2, \ldots, 9\}, R={(a,b):3∣a−b}R = \{(a, b) : 3 \mid a - b\}. What is the equivalence class [2][2]?
  4. The function f:N→Nf : \mathbf{N} \to \mathbf{N}, f(n)=n+5f(n) = n + 5 is
  5. How many one-one functions are there from {a,b}\{a, b\} to {1,2,3,4}\{1, 2, 3, 4\}?
Unanswered questions are marked wrong.