Mathematics MCQ Quiz Hub

1. If set A and B have 3 and 4 elements respectively then the number of subsets of set (A X B) is?
1024
2048
512
4096

2. If set A X B=B X A then which of the following sets may satisfy?
A={1, 2, 3}, B={1, 2, 3, 4}
A={1, 2}, B={2, 1}
A={1, 2, 3}, B={2, 3, 4}
None of the mentioned

3. If set A has 10 elements, set B has 20 elements, 5 elements are common to both then find the number of elements in X∪Y.
10
15
20
25

4. What is A ∪ B for two mutually exclusive sets A and B?
n (A) + n (B)
n (A) – n (B)
n (B) – n (A)
n (A) * n (B)

5. In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like both tea and coffee?
1
2
7
9

6. In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like neither tea nor coffee?
1
2
3
4

7. In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like only tea?
2
3
4
5

8. In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like only coffee?
2
3
4
5

9. In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read both newspaper?
100
300
1000
1300

10. In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Hindustan Times?
100
200
300
600

11. In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Times of India?
200
400
600
700

12. In a committee, if 50 people speak French, 20 people speak Spanish, 10 people speak both the languages, then how many people speak at least one of the two languages?
10
20
50
60

13. A group conducted a survey of 100 consumers and reported that 72 consumers like apples and 45 consumers like oranges, what is the least number that must have liked both products?
14
15
16
17

14. In a population of 1000 people, 700 people play football, 600 people play cricket, and 100 people play both. Is the data correct?
True
False

15. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the student knows either Hindi or English. How many students are there in the group?
75
100
125
175

16. If 200 people like tea, 300 people like coffee and 250 people like both. Is the data correct?
True
False

17. The cardinality of the set A = {1, 2, 3, 4, 6} is?
5
6
Integer
None of the mentioned

18. For two equal sets there ___________
Cardinality is same
Cardinality is different
May be same or different
None of the mentioned

19. If A is a subset of B then _______
The cardinality of A is greater than B
The cardinality of B is greater than A
Can’t say
None of the mentioned

20. If there is a bijection between two sets A and B then _______
Cardinality of A is greater than B
Cardinality of B is greater than A
Cardinality of B is equal to A
None of the mentioned

21. Let a set E ={0,2,4,6,8….} of non-negative even numbers and O = {1, 3, 5, 7, 9,…..} of non-negative odd numbers then?
Cardinality of set E is greater than that of O
Cardinality of set O is greater than that of E
Cardinality of set E is equal to that of O
None of the mentioned

22. Cardinality of the set of lower letter english alphabets is 26.
True
False

23. Cardinality of the set of even prime number under 10 is 4.
True
False

24. If for sets A and B there exists an injective function but not bijective function from A to B then?
Cardinality of A is strictly greater than B
Cardinality of B is strictly greater than A
Cardinality of B is equal to A
None of the mentioned

25. If cardinality of (A U B) = cardinality of A+ cardinality of B. This means ____________
A is a subset of B
B is a subset of A
A and B are disjoint
None of the mentioned

26. If A is a subset of B and B is a subset of C, then cardinality of A U B U C is equal to ____________
Cardinality of C
Cardinality of B
Cardinality of A
None of the mentioned

27. How to define a set?
A collection of well-defined objects or element
A collection of unordered objects or element
Any random elements
A collection of special characters

28. How is a set denoted?
()
{}
[]
**

29. How will you define a set of all real numbers?
{x: -1 < x < 1}
[x: -∞ < x < ∞]
{x: -∞ < x < ∞}
{x: -Z < x < +Z}

30. How will you define Union of two sets A and B?
{x: x € A or x € B}
{x: x € A or x € B (or both)}
{x: x € A and B}
{x: x € A – B}

31. What will be the set of the interval (a, b]?
{x: a < x < b}
{x: a ≤ x ≤ b}
{x: a < x ≤ b}
{x: a ≤ x < b}

32. How to solve for x, if |x-1| ≥ 3?
(-∞, -2) ∪ (4, ∞)
(-∞, -2] ∪ [4, ∞)
(0, -2] ∪ (4, 0)
(-∞, ∞) – {-2, 4}

33. What is the set of all x for which 1/(x – 1)(3 – x) ≤ 1?
(-∞, 1) ∪ (3, ∞)
(-∞, 1) ∪ (3, ∞) ∪ {2}
(-∞, 1) ∪ {2}
(3, ∞) ∪ {2}

34. A set can be a collection but a collection cannot be a set.
True
False

35. Which of the following holds true for a vector quantity?
It has only magnitude
It has only direction
A vector has both direction and magnitude
A vector can never be negative

36. A scalar quantity has only magnitude and no direction.
True
False

37. Which of the given qualities is a vector?
Speed
Time
Weight
Volume

38. Which of the following is not a vector quantity?
Speed
Density
Force
Velocity

39. Two vectors having the same initial points are called as ________________
collinear vectors
unit vectors
coinitial vectors
equal vectors

40. A unit vector is a vector whose magnitude is unity.
True
False

41. Which of the following condition is true for equal vectors?
They have the same direction but not same magnitude
They have the same magnitude and direction
They have the same initial point
They are parallel to the same line

42. The vector whose initial and final points coincide is called ____________
unit vector
coinitial vectors
equal vectors
zero vector

43. The vectors which start from the same initial point are called collinear vectors.
True
False

44. Which of the following is the condition for two vectors to be Collinear?
The vectors should be parallel to the same line
The vectors should have the same initial point
The vectors should have the same magnitude
The vectors should have the magnitude 1 and 0 respectively

45. Find the order of the differential equation y’-20y+2=0.
2
8
0
1

46. Find the degree of the differential equation y”-12cosec y=0.
1
2
4
Not defined

47. Find the order and degree of the differential equation 7y’-3y=0.
Order -1, Degree-2
Order -2, Degree-3
Order -1, Degree-1
Order -3, Degree-2

48. How many arbitrary constants will be there in the general solution of a second order differential equation?
3
4
2
1

49. The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________
1
0
4
3

50. What is the order of the differential equation of the family of circles with one diameter along the line y = x axis?
3
2
1
0