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This mock test of Test: Sets- 4 for CA Foundation helps you for every CA Foundation entrance exam.
This contains 40 Multiple Choice Questions for CA Foundation Test: Sets- 4 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Sets- 4 quiz give you a good mix of easy questions and tough questions. CA Foundation
students definitely take this Test: Sets- 4 exercise for a better result in the exam. You can find other Test: Sets- 4 extra questions,
long questions & short questions for CA Foundation on EduRev as well by searching above.

QUESTION: 1

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

Solution:

QUESTION: 2

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

Solution:

QUESTION: 3

Which of the following two sets are equal?

Solution:

QUESTION: 4

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

Solution:

QUESTION: 5

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

Solution:

QUESTION: 6

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)}

Solution:

QUESTION: 7

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

Solution:

QUESTION: 8

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

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

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

Solution:

QUESTION: 11

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

Solution:

QUESTION: 12

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

Solution:

QUESTION: 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}

Solution:

QUESTION: 14

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}

Solution:

QUESTION: 15

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

Solution:

QUESTION: 16

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

Solution:

QUESTION: 17

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

Solution:

QUESTION: 18

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

Solution:

QUESTION: 19

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

Solution:

QUESTION: 20

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}

Solution:

QUESTION: 21

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}

Solution:

QUESTION: 22

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}

Solution:

QUESTION: 23

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}

Solution:

QUESTION: 24

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.

Solution:

QUESTION: 25

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

Solution:

QUESTION: 26

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

Solution:

QUESTION: 27

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

Solution:

QUESTION: 28

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

Solution:

QUESTION: 29

State whether the following sets are finite infinite or empty: -

(i) X = {1, 2, 3, …..500}

(ii)Y = {y:y=α^{2}; 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}

Solution:

QUESTION: 30

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

Solution:

QUESTION: 31

If the universal set is X = {x:x ? N, 1≤ x ≤12} and A = {1, 9, 10}, B = {3, 4, 6, 11, 12} and C = {2, 5, 6} are subsets of X the set A ∪ (B∩C) is __________.

Solution:

QUESTION: 32

Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees preferring only coffee is

Solution:

QUESTION: 33

Solution:

QUESTION: 34

Let A={a, b}. set of subsets of A is called power set of A denoted by P(A). Now n(P(A) is

Solution:

QUESTION: 35

Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C is

Solution:

QUESTION: 36

If V = {x:x + 2<0} R={x:x^{2}+x-2=0, x<0} and S = {x:x^{2}+4x+4=0} then V, R, S are equal for the value of x equal to_______.

Solution:

QUESTION: 37

Comment on the correctness or otherwise of the following statements:-

(i) {a, b, c}={c, b, a}

(ii) {a, c, a, d, c, d} ? {a, c, d}

(iii) {b} ? {{b}}

(iv) {b}? {{b}} and ?? {{b}}.

Solution:

QUESTION: 38

Let A ={0}, B={0 1}, C=?, D={?}, E={x|x is a human being 300 years old}, F = {x|x ? A and x ? B} state which of the following statements are true:-

(i) A⊂B

(ii) B=F

(iii) C⊂D

(iv) C=E

(v) A=F

(vi) F=1 and

(vii)E=C=D

Solution:

QUESTION: 39

Let A={a, b}. set of subsets of A is called power set of A denoted by P(A). Now n(P(A) is

Solution:

QUESTION: 40

If V={0, 1, 2, …9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3, 7} then

Y ∪ Z, (V ∪ Y)∩X, (X ∪ Z)∪V are respectively:

Solution:

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