IBPS Clerk - Data Interpretation, Data Sufficiency, Probability, Permutation and Combination One Line Questions & Answers

1. If an event is certain to happen, what is its probability? — 1

2. What is the probability of an impossible event? — 0

3. What is the probability of drawing a red card or a black card from a standard deck of 52 cards? — 1

4. If P(A) = 0.6 and P(B) = 0.3, and A and B are independent events, what is P(A and B)? — 0.18

5. If P(A) = 0.4 and P(B) = 0.5, and A and B are mutually exclusive events, what is P(A U B)? — 0.9

6. If P(A) = 0.7, what is the probability of the complement of A, P(A')? — 0.3

7. If P(A) = 0.4 and P(B) = 0.3, and P(A ∩ B) = 0.1, what is P(A U B)? — 0.7

8. What is the probability of drawing an ace from a standard deck of 52 cards? — 1/13

9. What is the probability of getting a sum of 7 when two dice are rolled? — 6/36

10. Two coins are tossed. What is the probability of getting exactly one head? — 1/2

11. A die is rolled. What is the probability of getting a number greater than 4? — 1/2

12. What is the value of 5P2? — 20

13. A test has 10 multiple-choice questions, each with 4 options. How many ways can a student answer the test? — 4^10

14. How many ways can you select a team of 4 players from 10 players? — 10C4

15. How many permutations are possible with the letters of the word 'APPLE'? — 60

16. How many ways can a committee of 3 people be selected from a group of 7 people? — 35

17. What is the value of 6C3? — 20

18. A bag contains 3 red, 4 green, and 5 blue marbles. If one marble is picked at random, what is the probability it is green? — 4/12

19. What is the probability of drawing a face card (King, Queen, Jack) from a standard deck of 52 cards? — All of the above

20. In a bag, there are 5 red balls and 3 blue balls. If one ball is drawn randomly, what is the probability of drawing a blue ball? — 3/8

21. What is the probability of selecting a vowel from the letters of the word 'EQUATION'? — 5/8

22. If a word has 4 distinct letters, how many permutations of these letters are possible? — 24

23. In how many ways can 4 different books be arranged on a shelf? — 24

24. In how many ways can 5 people be arranged in a line? — 120

25. In how many ways can you choose 2 fruits from a basket containing 5 different fruits? — 10

26. In a class of 30 students, 10 play cricket and 15 play football. If 5 students play both, how many play neither? — 10

27. How many ways can 3 prizes be awarded to 5 contestants if no contestant can receive more than one prize? — 5P3

28. How many ways can the letters of the word 'SUCCESS' be arranged? — 7! / (3! * 2!)

29. What is the fundamental principle of counting? — Multiplication Principle

30. Which type of Data Interpretation uses a circular chart to display proportions? — Pie Chart

31. In a Data Interpretation (DI) problem, what does a line graph typically represent? — Trends and changes over a continuous period

32. What is the concept of complementary events in probability? — Events that cover all possible outcomes, and P(A) + P(not A) = 1

33. In Data Sufficiency, if Statement I provides a unique numerical answer, it is: — Sufficient

34. What is the main characteristic of a histogram in Data Interpretation? — It represents data in discrete intervals or bins

35. Which DI chart is most suitable for showing the distribution of a population into different age groups? — Histogram

36. The formula for permutations of n distinct items taken r at a time is: — nPr = n! / (n-r)!

37. The formula for combinations of n distinct items taken r at a time is: — nCr = n! / (r! * (n-r)!)

38. Which DI chart is best suited for comparing quantities across different categories? — Bar Graph

39. What does the notation P(A U B) represent in probability? — Probability of A or B or both occurring

40. In a DS question, if Statement I alone is sufficient and Statement II alone is also sufficient, what is the correct option? — Either Statement I or Statement II alone is sufficient

41. In a DS question, if Statement I alone is sufficient and Statement II alone is also sufficient, what is the conclusion? — The answer is 'Statement II alone is sufficient'

42. If Statement I alone is sufficient to answer the question, but Statement II alone is not, what is the correct conclusion in a DS problem? — The answer is 'Statement I alone is sufficient'

43. What does it mean if neither Statement I nor Statement II alone is sufficient, and together they are also insufficient to answer the question? — The answer is 'Data is insufficient'

44. What does 'Combination' refer to in combinatorics? — The selection of items where order does not matter

45. In a Data Interpretation question, what does a 'range' typically refer to? — The difference between the highest and lowest values

46. What is the probability of an event? — The number of favorable outcomes divided by the total number of outcomes

47. What does 'Permutation' refer to in combinatorics? — The arrangement of items where order matters

48. In Data Sufficiency (DS) questions, what is the primary goal of the statements provided? — To determine if the given information is sufficient to answer the question

49. In a table-based DI, what is the primary purpose of using rows and columns? — To compare absolute values and percentages across different categories

50. When are both statements required to be sufficient to answer the question in a DS problem? — When neither statement alone is sufficient, but together they are

Data Interpretation, Data Sufficiency, Probability, Permutation and Combination - One Line Questions