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

2. If set A X B=B X A then which of the following sets may satisfy?

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.

4. What is A ∪ B for two mutually exclusive sets A and 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?

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?

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?

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?

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?

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?

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?

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?

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

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?

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

17. The cardinality of the set A = {1, 2, 3, 4, 6} is?

18. For two equal sets there ___________

19. If A is a subset of B then _______

20. If there is a bijection between two sets A and B then _______

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?

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

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

24. If for sets A and B there exists an injective function but not bijective function from A to B then?

25. If cardinality of (A U B) = cardinality of A+ cardinality of B. This means ____________

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 ____________

27. How to define a set?

28. How is a set denoted?

29. How will you define a set of all real numbers?

30. How will you define Union of two sets A and B?

31. What will be the set of the interval (a, b]?

32. How to solve for x, if |x-1| ≥ 3?

33. What is the set of all x for which 1/(x – 1)(3 – x) ≤ 1?

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

35. Which of the following holds true for a vector quantity?

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

37. Which of the given qualities is a vector?

38. Which of the following is not a vector quantity?

39. Two vectors having the same initial points are called as ________________

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

41. Which of the following condition is true for equal vectors?

42. The vector whose initial and final points coincide is called ____________

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

44. Which of the following is the condition for two vectors to be Collinear?

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

46. Find the degree of the differential equation y”-12cosec y=0.

47. Find the order and degree of the differential equation 7y’-3y=0.

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

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

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