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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.
51. |
Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true? |
A. | {3, 4} A |
B. | {3, 4} A |
C. | 1 A |
D. | {1, 2, 5} A |
Answer» C. 1 A | |
52. |
If A = { x : x = n-1/n+1, n W and n 10 } ;point out the correct statement from the following: |
A. | 0 A |
B. | 0 A |
C. | 0 A |
D. | 1/3 A |
Answer» B. 0 A | |
53. |
If the number of items in a set A is n(A) = 40. If n(B) = 26 and n(A B) = 16 then n(A B) is equal to: |
A. | 30 |
B. | 40 |
C. | 50 |
D. | 60 |
Answer» D. 60 | |
54. |
Let A = {x: x N x is a multiple of 2} |
A. | A |
B. | B |
C. | C |
D. | None of these |
Answer» D. None of these | |
55. |
In a certain office, 72% of the workers prefer cold drink and 44% prefer tea. If each of them prefers cold drink or tea and 40 like both, then the total number of workers in the office is: |
A. | 40 |
B. | 240 |
C. | 220 |
D. | 210 |
Answer» B. 240 | |
56. |
In an examination, 40% students failed in Hindi, 50% students failed in English. If 21% students failed in both the subjects, find the percentage of those who passed in Hindi. |
A. | 31% |
B. | 40% |
C. | 55% |
D. | 60% |
Answer» E. | |
57. |
In a survey of a town, it was found that 65% of the people surveyed watch the news on T.V. 40% read a newspaper and 25% read a newspaper and watch the news on T.V. What per cent of the people surveyed neither watch the news on T.V. nor read a newspaper? |
A. | 5% |
B. | 10% |
C. | 20% |
D. | 15% |
Answer» D. 15% | |
58. |
Which of the following sets is finite? |
A. | The set of the months of a year |
B. | {1, 2, 3, } |
C. | {1, 2, 3, 90, 100} |
D. | The set of lines which are parallel to x-axis |
E. | The set of numbers which are multiples of 5. |
Answer» B. {1, 2, 3, } | |
59. |
Write down the power set of C = {1, {2}}. |
A. | { , {1}, {{2}}} |
B. | { , {1}, {{2}}, {1, {2}}} |
C. | {{1}, {{2}}, {1, {2}} |
D. | None of these |
Answer» C. {{1}, {{2}}, {1, {2}} | |
60. |
Which of the following sets is non-empty? |
A. | A = set of odd natural numbers divisible by 2 |
B. | B = {x : x + 5 = 0, x N} |
C. | C = set of even prime numbers |
D. | D = {x : 1 < x < 2, x N}, |
Answer» D. D = {x : 1 < x < 2, x N}, | |
61. |
Let A = { , { }, 1, {1, }, 7}. Which of the following is false? |
A. | A |
B. | { } A |
C. | {1} A |
D. | {7, ,} A |
Answer» D. {7, ,} A | |
62. |
Write down the power set of the set {0}. |
A. | |
B. | {0} |
C. | { } |
D. | { , {0}} |
Answer» E. | |
63. |
Find the cardinal number of the following set {x: x is a natural number 30 and is divisible by 7 or 11} |
A. | 4 |
B. | 8 |
C. | 6 |
D. | 2 |
Answer» D. 2 | |
64. |
Which of the following sets is empty? |
A. | A = {x: x n and x 1} |
B. | |
C. | B = {x: 3x + 1 = 0, x N} |
D. | C = {x: x is an integer and -1 < x < 1} |
E. | D = set of months of the year beginning with F. |
Answer» C. B = {x: 3x + 1 = 0, x N} | |
65. |
Let A = {1, 2}, B = {2, 3}. Evaluate A B. |
A. | {(2, 1), (3, 1), (2, 3)} |
B. | {(1, 2), (1, 3), (2, 3)} |
C. | {(1, 2), (1, 3), (2, 2), (2, 3)} |
D. | None of these |
Answer» D. None of these | |
66. |
The Cartesian product |
A. | A = {0, 1} |
B. | A = {-1, 0, 1} |
C. | A = {0, -1} |
D. | A = {1, -1,} |
Answer» C. A = {0, -1} | |
67. |
Let A = {1, 3, 5} and B = {x: x is an odd natural number < 6}. Which of the following is false? |
A. | A B |
B. | B A |
C. | A = B |
D. | None of these |
Answer» E. | |
68. |
If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U A) . |
A. | U |
B. | A |
C. | |
D. | None of these |
Answer» D. None of these | |