Explore topic-wise MCQs in Aptitude.

This section includes 68 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

1.

If A = {a, d}, B = {b, c, e} and C = {b, c, f}, then A (B C) =
A.
B. (A B) (A C)
C. (A B) (A C)
D. None of these
Answer» C. (A B) (A C)
Discussion
2.

Let A = {x: x N x is a multiple of 2};
B = {x: x N x is a multiple of 5};
C = {x: x N x is a multiple of 10};
Describe the set (A B) C,

A. A
B. B
C. A B
D. C
Answer» E.
Discussion
3.

If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11},
A = {2, 4, 7},
B = {3, 5, 7, 9, 11} and
C = {7, 8, 9, 10, 11}.
compute: (A U) (B C)

A. {7}
B. {9}
C. {6}
D. {5}
Answer» B. {9}
Discussion
4.

If A = {1, 2, 3}, B = {2, 3, 4}, C = {1, 3, 4} and D = {2, 4, 5}, then (A B) (C D) = ?

A. (A D) (B C)
B. (b) (A C) (B D)
C.
D. None of these
Answer» C.
Discussion
5.

If A = {a, d}, B = {b, c, e} and C = {b, c, f}, then A (B C) =

A.
B. (A B) (A C)
C. (A B) (A C)
D. None of these
Answer» D. None of these
Discussion
6.

Find the cardinal number of the following set :
{x : x is a letter of the word ASSASSINATION }

A. 4
B. 6
C. 8
D. 2
Answer» C. 8
Discussion
7.

Which of the following statements is false for the sets A, B and C, where:
A = {x | x is letter of the word BOWL }
B = {x | x is a letter of the word ELBOW }
C = {x | x is a letter of the word BELLOW }

A. A B
B. B C
C. B = C
D. B is a proper subset of C.
Answer» E.
Discussion
8.

Which of the following pairs of sets are disjoint?
(i) {1, 2, 3, 4 } and { x : x is a natural number and 4 x 6 }
(ii) { a, e, i, o, u } and { c, d, e, f }
(iii) { x : x is an even integer } and { x : x is an odd integer }.

A. (i)
B. (ii)
C. (iii)
D. None of these
Answer» D. None of these
Discussion
9.

If A = {1, 2, 3, 4, 5} and B = {2, 4, 6} then what is the value of A - B ?

A. {2, 3, 5}
B. {1, 3, 5}
C. {2, 3, 6}
D. {1, 4, 5}
Answer» C. {2, 3, 6}
Discussion
10.

If A = { 2 , 3 , 5 , 7 , 11 } and B = { 1, 3, 5, 7, 9, 11} then what is the value of A ? B ?

A. { 2, 3, 5, 7, 11 }
B. { 1, 3, 5, 7, 9, 11}
C. { 3, 5, 7, 11}
D. { 2, 3, 5, 7, 9, 11}
Answer» D. { 2, 3, 5, 7, 9, 11}
Discussion
11.

If U = {a, b, c, d, e, f}, A = {a, b, c}, B = {c, d, e, f}, and C = {c, d, e} find (A B) C.

A. A
B. B
C. C
D. U
Answer» E.
Discussion
12.

If P = { 1, 2, 3 } and Q = { 4 , 5 } then what is the value of P Q ?

A. { (4 , 5) , (1 , 5) , (2 , 4) , (2 , 5) , (3 , 4) , (3 , 5) }
B. { (1 , 4) , (4 , 5) , (2 , 4) , (2 , 5) , (3 , 4) , (3 , 5) }
C. { (1 , 4) , (1 , 5) , (2 , 4) , (3 , 5) , (3 , 4) , (3 , 5) }
D. { (1 , 4) , (1 , 5) , (2 , 4) , (2 , 5) , (2 , 4) , (3 , 5) }
E. { (1 , 4) , (1 , 5) , (2 , 4) , (2 , 5) , (3 , 4) , (3 , 5) }
Answer» F.
Discussion
13.

If A and B have n elements in common, how many elements do A B and B A have in common?

A. n
B. n
C. n
D. None of these
Answer» D. None of these
Discussion
14.

If U = {a, b, c, d, e, f}, A = {a, b, c}, B = {c, d, e, f}, C = {c, d, e}, find (A B) (A C).

A. {c}
B. {a}
C. {b}
D. {d}
Answer» B. {a}
Discussion
15.

64009 is equal to :

A. 352
B. 523
C. 253
D. 532
Answer» D. 532
Discussion
16.

Let A = {x: x N x is a multiple of 2}
B = {x: x N x is a multiple of 5}
C = {x: x N x is a multiple of 10}
Describe the set A (B C)

A. A
B. B
C. C
D. None of these
Answer» D. None of these
Discussion
17.

If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {3, 5, 7, 9, 11} and B = {7, 8, 9, 10, 11}, Then compute (A B) .

A. {2, 3, 5, 7, 9, 11, 12}
B. {2, 4, 6, 8, 10, 11, 12}
C. {2, 4, 6, 8, 9, 10, 11}
D. None of these
Answer» E.
Discussion
18.

If S and T are two sets such that S has 21 elements, T has 32 elements, and S T has 11 elements, how many elements does S T have?

A. 52
B. 32
C. 42
D. None of these
Answer» D. None of these
Discussion
19.

The Cartesian product A A has 9 elements and two of them are (-1, 0) and (0, 1). Find the set A?

A. A = {0, 1}
B. A = {-1, 0, 1}
C. A = {0, -1}
D. A = {1, -1,}
Answer» C. A = {0, -1}
Discussion
20.

If A and B are two sets such that A has 40 elements, A B has 60 elements and A B has 10 elements, how many elements does B have?

A. 40
B. 30
C. 45
D. 50
Answer» C. 45
Discussion
21.

In a group of 1000 people, there are 750 people who can speak Hindi and 400 who can speak English. How many can speak Hindi only?

A. 600
B. 650
C. 750
D. 800
Answer» B. 650
Discussion
22.

In a town with a population of 5000, 3200 people are egg-eaters, 2500 meat eaters and 1500 eat both egg and meat. How many are pure vegetarians?

A. 600
B. 800
C. 900
D. 850
Answer» C. 900
Discussion
23.

Which of the following sets is infinite?

A. {x: x is a prime number, x is even}
B. Set of all river in India
C. Set of all concentric circles
D. None of above
Answer» D. None of above
Discussion
24.

Find the cardinal number of the following set :

A. 4
B. 6
C. 8
D. 2
Answer» C. 8
Discussion
25.

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

A. 19
B. 17
C. 23
D. 21
Answer» B. 17
Discussion
26.

Which of the following pairs of sets are disjoint?

A. (i)
B. (ii)
C. (iii)
D. None of these
Answer» D. None of these
Discussion
27.

If X and Y are two sets such that X Y has 18 elements, X has 8 elements, and Y has 15 elements, how many elements does X Y have?

A. 5
B. 7
C. 9
D. 11
Answer» B. 7
Discussion
28.

Which of the following statements is false for the sets A, B and C, where:

A. A B
B. B C
C. B = C
D. B is a proper subset of C.
Answer» E.
Discussion
29.

72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one of Biology or Mathematics and 40 students took both of these subjects, the total number of students in the class is:

A. 200
B. 240
C. 250
D. 320
Answer» D. 320
Discussion
30.

Out of 100 families in the neighborhood, 50 have radios, 75 have TVs and 25 have VCR. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?

A. 30
B. 35
C. 40
D. 45
Answer» C. 40
Discussion
31.

In a class of 50 students, 35 opted for mathematics and 37 opted for Biology. How many have opted for both Mathematics and Biology? How many have opted for only Mathematics? (Assume that each student has to opt for at least one of the subjects).

A. 15
B. 17
C. 13
D. 19
Answer» D. 19
Discussion
32.

There were 600 students in a school. Each offered either English or Hindi or Both . If 75% offered English and 45% Hindi, how many offered both ?

A. 48
B. 60
C. 80
D. 120
Answer» E.
Discussion
33.

Write down the power set of A = {8, 9}.

A. { , {8}, {9}, {8, 9}}
B. { , {8}, {9}}
C. { , {8}, {9}, {8, 9}}
D. None of these
Answer» B. { , {8}, {9}}
Discussion
34.

Which of the following pairs of sets are comparable?

A. A = {1, 3, 5}, and B = {3, 2, 5, 6}
B. A = {x: x N and x 10} and B = {1, 2, 3, , 10, 11}
C. A = {1, 2, 3, {4, 5}}, and B = {1, 2, 3, 4, 5}.
D. None of these
Answer» C. A = {1, 2, 3, {4, 5}}, and B = {1, 2, 3, 4, 5}.
Discussion
35.

In a class, 50 students play cricket, 20 students play football and 10 play both cricket and football. How many play at least one of these two games?

A. 60
B. 45
C. 55
D. 65
Answer» B. 45
Discussion
36.

There are 80 families in a small extension area. 20 per cent of these families own a car each. 50 per cent of the remaining families own a motor cycle each. How many families in that extension do not own any vehicle?

A. 30
B. 32
C. 23
D. 36
Answer» C. 23
Discussion
37.

In an examination, 30% of the total students failed in Hindi, 45% failed in English and 20% failed in both the subjects. Find the percentage of those who passed in both the subjects.

A. 35.7%
B. 35%
C. 40%
D. 45%
E. 44%
Answer» E. 44%
Discussion
38.

If A = {a, d}, B = {b, c, e} and C = {b, c, f}, then A (B C) =

A.
B. (A B) (A C)
C. (A B) (A C)
D. None of these
Answer» C. (A B) (A C)
Discussion
39.

In a group of 50 people, 35 speak Hindi, 25 speak both Hindi and English and all the people speak Hindi or English or both. The number of people who speak English only is:

A. 40
B. 20
C. 15
D. 10
Answer» E.
Discussion
40.

If A = {a, d}, B = {b, c, e} and C = {b, c, f}, then A (B - C) =

A. (A B) - (A C)
B. (A B)
C. A C
D. None of these
Answer» B. (A B)
Discussion
41.

Which of the following pairs of sets are not equal?

A. (a) A = {1, 3, 3, 1}, B = {1, 4}
B. (b) A = {x: x + 2 = 2}, B = {0}
C. (c) A = {1, 3, 4, 4}, B = {3, 1, 4}
D. (d) A = {1,1/2,1/3,... }, B { 1/n : n N } .
Answer» B. (b) A = {x: x + 2 = 2}, B = {0}
Discussion
42.

Which of the following pairs of sets are not equivalent?

A. A = {2, 4, 6, 8}, B = {u, v, w, x}
B. A = {a, b, c}, B = { , , , , }
C. A = {}, B =
D. A = {x: x = 2n, n N}, B = {x: x = 2n + 1, n N}.
Answer» C. A = {}, B =
Discussion
43.

Let A = {x: x N x is a multiple of 2};

A. A
B. B
C. A B
D. C
Answer» E.
Discussion
44.

If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11},

A. {7}
B. {9}
C. {6}
D. {5}
Answer» B. {9}
Discussion
45.

In a class of 100 students, the number of students passed in English only is 46, in Maths only is 46, in Commerce only is 58. The number who passed in English and Maths is 16, Maths and Commerce is 24 and English and Commerce is 26, and the number who passed in all the subjects is 7. Find the number of the students who failed in all the subjects.

A. 9
B. 8
C. 10
D. None of these
Answer» B. 8
Discussion
46.

In which of the following cases, A = B?

A. A = {12, 14, 16}, B = {16, 18, 20}
B. A = , b = {}
C. A = {x: x W and x < 1}, B =
D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
Answer» C. A = {x: x W and x < 1}, B =
Discussion
47.

Find the cardinal number of the following set {x: x = 2n, n N, 4 x 11}

A. 8
B. 6
C. 12
D. 4
Answer» E.
Discussion
48.

Find the power set of A = {{a, b}, c}.

A. { , {a, b}, {c}}
B. {A, {a, b}, {c}}
C. { , A, {a, b}, {c}}
D. None of these
Answer» D. None of these
Discussion
49.

If A = {a, b}, B = {2, 3, 5, 6, 7} and C = {5, 6, 7, 8, 9}, find A (B C).

A. A
B.
C. {(5, a), (6, a), (7, a), (5, b), (6, b), (7, b)}
D. {(a, 5), (a, 6), (a, 7), (b, 5), (b, 6), (b, 7)}
Answer» E.
Discussion
50.

Let A = {1, 2, {3, 4}, 5}. Which of the following statements are true?

A. {3, 4} A;
B. {3, 4} A;
C. {{3, 4}} A;
D. {1, 3, 5} A.
Answer» C. {{3, 4}} A;
Discussion