Test: Sets- 4


40 Questions MCQ Test Quantitative Aptitude for CA CPT | Test: Sets- 4


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Attempt Test: Sets- 4 | 40 questions in 40 minutes | Mock test for CA Foundation preparation | Free important questions MCQ to study Quantitative Aptitude for CA CPT for CA Foundation Exam | Download free PDF with solutions
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 = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to

Solution:

Given A = [5, 6, 7] and B = [7, 8, 9] 
then A ∪ B = [5, 6, 7, 8, 9]

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

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

Solution:

The set S contains the square of an integer less than 10. That's why the third option is correct according to the given set.

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=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}

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

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: 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:x2+x-2=0, x<0} and S = {x:x2+4x+4=0} then V, R, S are equal for the value of x equal to_______.

Solution:
QUESTION: 37

What is the Cartesian product of A = {1, 2} and B = {a, b}? 

Solution:

A subset R of the Cartesian product A x B is a relation from the set A to the set B.

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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