Test: Sets- 4 - CA Foundation MCQ

Let P = (1, 2, x), Q = (a, x, y), R = (x, y, z) the set (P×Q)∪(R×P) is

 Let P = (1, 2, x), Q = (a, x, y), R = (x, y, z) then P × Q is

Indentify the elements of P if set Q = {1, 2, 3,} and P × Q = {(4, 1) (4, 2) (4, 3) (5, 1) (5, 2) (5, 3) (6, 1) (6, 2) (6, 3)}

If U = {1, 2, ……9} be the universal set A = {1, 2, 3, 4} and B = {2, 4, 6, 8} than the set A∩B is

 If P has three elements Q four and R two how many elements does the Cartesian product set P × Q × R will have

If A = {2, 3}, B = {4, 5}, C = {5, 6} then the set (A × B)∪(B × C) is

 If A = {a, b, c, d, e, f} B = {a, e, i, o, u} and C = {m, n, o, p, q, r, s, t, u} then A∪B∪C is

 If  A = {a, b, c, d, e, f} B = {a, e, i, o, u} and C = {m, n, o, p, q, r, s, t, u} then A∩B∩C is

 If A = {1, 2, …9}, B = {2, 4, 6, 8} C = {1, 3, 5, 7, 9}, D = {3, 4, 5} and E = {3, 5} what is set S if it is also given that S⊂B and S⊄C

 If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} then (A')' is (given that the universal set U = {3, 4, ...., 11, 12, 13}

 If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} then A’ is (given that the universal set U = {3, 4, ……, 11, 12, 13}

If A = {a, b, c, d, e, f} B = {a, e, I, o, u} and C = {m, n, o, p, q, r, s, t, u} then B ∩ C is

IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to

If A = {1, 2, …9}, B = {2, 4, 6, 8} C = {1, 3, 5, 7, 9}, D = {3, 4, 5} and E = {3, 5} what is set S if it is also given that S⊂D and S⊄B

The members of the set S = {x | x is the square of an integer and x < 100} is ________________

If A = {a, b, c, d, e, f} B = {a, e, I, o, u} and C = {m, n, o, p, q, r, s, t, u} then A∪(B-C) is

 If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} then (B')' is (given that the universal set U = {3, 4, ...., 11, 12, 13}

 If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} thenA' ∪ C' is (given that the universal set U = {3, 4, ...., 11, 12, 13}

If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} then B’ is (given that the universal set U = {3, 4, ……, 11, 12, 13}

 If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} then C’ is (given that the universal set U = {3, 4, ……, 11, 12, 13}

 If four members a, b, c, d of a decision making body are in a meeting to pass a resolution where rule of majority prevails list the winning coalitions. Given that a, b, c, d own 50% 20% 15% 15% shares each.

 If A = {a, b, c, d} list the element of power set P(A)

 If A = {a, b, c, d, e, f} B = {a, e, I, o, u} and C = {m, n, o, p, q, r, s, t, u} then A∪C is

A sample of income group of 1172 families was surveyed and noticed that for income groups < Rs. 6000/-, Rs. 6000/- to Rs. 10999/-, Rs. 11000/-, Rs. 15999/-, Rs. 16000 and above No. TV set is available to 70, 50, 20, 50 families one set is available t0 152, 308, 114, 46 families and two or more sets are available to 10, 174, 84, 94 families.
If A = {x|x is a family owning two or more sets}, B = {x|x is a family with one set, } C = {x|x is a family with income less than Rs. 6000/-}, D = {x|x| is a family with income Rs. 6000/- to Rs. 10999/-}, E = {x|x| is a family with income Rs. 11000/- to Rs. 15999/-}, find the number of families in each of the following sets (i) C∩B (ii) A∪E

If A = {a, b, c, d, e, f} B = {a, e, i, o, u} and C = {m, n, o, p, q, r, s, t, u} then A∪B is

 State whether the following sets are finite infinite or empty: -
(i) X = {1, 2, 3, …..500}
(ii)Y = {y:y=α²; a is an integer}
(iii) A = {x:x is a positive integer multiple of 2}
(iv) B = {x:x is an integer which is a perfect root of 26 < x < 35}

If A = {a, b, c, d, e, f} B = {a, e, i, o, u} and C = {m, n, o, p, q, r, s, t, u} then B∪C is