Sets and Relation questions
385 published questions with worked solutions.
- An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and...
- The number of relations, on the set 1, 2, 3 containing (1, 2) and (2, 3), which are reflexive and transitive but not symmetric,...
- Let A = –4, –3, –2, 0, 1, 3, 4 and R = (a, b) A A : b = |a| or b^2 = a + 1 be a relation on A. Then the minimum number of...
- Let A = 1, 2, 3, 4 and R be a relation on the set A × A defined by R = ((a, b), (c, d)): 2a + 3b = 4c + 5d . Then the number of...
- The minimum number of elements that must be added to the relation R = (a, b), (b, c), (b, d) on the set a, b, c, d so that it is...
- The relation R = (a, b) : gcd(a, b) = 1, 2a , a, b Z is
- Let R be a relation defined on N as a R b if 2a + 3b is a multiple of 5, a, b N. Then R is
- The minimum number of elements that must be added to the relation R = (a, b),(b, c) on the set a, b, c so that it becomes...
- Among the relations S = (a,b):a,b R- 0 ,2+ a b >0 , T = (a,b):a,b R,a^2-b^2 Z ,
- Let R be a relation on N × N defined by (a, b) R (c, d) if and only if ad(b – c) = bc(a – d). Then R is
- Let the set of all relations R on the set a, b, c, d, e, f , such that R is reflexive and symmetric, and R contains exactly 10...
- Let R = (1, 3), (4, 2), (2, 4), (2, 3), (3, 1) be a relation on the set A = 1, 2, 3, 4 . The relation R is
- Let R = (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6) be a relation on the set A = 3, 6, 9, 12 . The...
- Let W denote the words in the English dictionary. Define the relation R by : R = (x, y) W W | the words x and y have at least one...
- Let R be the real line. Consider the following subsets of the plane R R. S = (x, y) : y = x + 1 and 0 < x < 2 , T = (x, y) : x -...
- If A, B and C are three sets such that A B = A C and A B = A C, then
- Consider the following relations: R = (x, y) | x, y are real numbers and x = wy for some rational number w ; S = ( mn, pq ) | m,...
- Let R be the set of real numbers This question has Statement −1 and Statement −2. Of the four choices given after the statements,...
- If A= 1,2,3,4,5,6 then which of the following is not true?
- If A = 1, 2, 3, 4, 5 then which of the following statements is not true?
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