SBI Clerk - Probability, Permutation and Combination, Statistics Online Test (MCQ Quiz)

1. A bag contains 5 red balls and 7 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are blue?

A) 35/132 B) 49/132 C) 7/12 D) 35/144

2. In how many ways can a committee of 4 members be selected from a group of 10 people?

A) 210 B) 100 C) 5040 D) 24

3. The mean of the first 10 natural numbers is:

A) 5 B) 5.5 C) 6 D) 10

4. A coin is tossed three times. What is the probability of getting exactly two heads?

A) 1/8 B) 3/8 C) 1/2 D) 3/4

5. How many permutations are there of the letters in the word 'APPLE'?

A) 120 B) 60 C) 24 D) 5

6. Find the median of the following data set: 3, 7, 2, 8, 5, 9, 4.

A) 5 B) 6 C) 4 D) 7

7. Two dice are rolled simultaneously. What is the probability that the sum of the numbers shown is 7?

A) 1/6 B) 5/36 C) 7/36 D) 1/12

8. In how many ways can 5 distinct books be arranged on a shelf?

A) 5 B) 25 C) 120 D) 60

9. The mode of the data set: 2, 3, 4, 3, 5, 3, 2, 3 is:

A) 2 B) 3 C) 4 D) 5

10. A card is drawn from a standard deck of 52 cards. What is the probability that the card is a King or a Queen?

A) 1/13 B) 2/13 C) 4/13 D) 8/52

11. What is the value of ⁶P₂?

A) 30 B) 60 C) 15 D) 720

12. If the mean of 5 numbers is 10, and the mean of 3 of these numbers is 8, what is the mean of the remaining 2 numbers?

A) 10 B) 12 C) 14 D) 15

13. A bag contains 6 green balls and 4 yellow balls. If one ball is drawn at random, what is the probability it is green?

A) 1/10 B) 4/10 C) 6/10 D) 1

14. How many ways can the letters of the word 'SUCCESS' be arranged?

A) 5040 B) 420 C) 720 D) 840

15. Find the range of the following data: 15, 8, 22, 10, 18.

A) 8 B) 10 C) 14 D) 22

16. A committee of 3 members is to be selected from 4 men and 5 women. What is the probability that the committee consists of 2 men and 1 woman?

A) 10/21 B) 12/21 C) 6/21 D) 1/21

17. What is the value of ⁵C₃?

A) 5 B) 10 C) 15 D) 20

18. The mean of a set of 15 numbers is 25. If one number is removed, the mean of the remaining numbers is 23. What is the removed number?

A) 25 B) 53 C) 58 D) 63

19. A number is selected at random from the first 20 natural numbers. What is the probability that the number is a multiple of 3?

A) 3/20 B) 6/20 C) 7/20 D) 1/3

20. In how many ways can 5 people be seated in a row?

A) 5 B) 25 C) 120 D) 60

21. The average of 5 numbers is 27. If 45 is added to the numbers, the new average is:

A) 30 B) 32 C) 36 D) 40

22. What is the probability of drawing a spade or an ace from a standard deck of 52 cards?

A) 4/13 B) 1/13 C) 17/52 D) 18/52

23. How many different arrangements can be made from the letters of the word 'BANANA'?

A) 720 B) 120 C) 60 D) 30

24. The mean of the first 5 odd numbers is:

A) 5 B) 7 C) 9 D) 11

25. A bag contains 3 red, 5 green, and 4 blue balls. If a ball is drawn at random, what is the probability that it is not blue?

A) 3/12 B) 5/12 C) 7/12 D) 9/12

26. In how many ways can 4 boys and 3 girls be seated in a row so that all the girls sit together?

A) 720 B) 144 C) 5040 D) 24

27. The median of the following data: 10, 12, 14, 16, 18, 20 is:

A) 14 B) 15 C) 16 D) 17

28. If the probability of an event is 0.75, what is the probability of the event not occurring?

A) 0.25 B) 0.50 C) 0.75 D) 1.75

29. What is the value of ⁸C₅?

A) 8 B) 56 C) 64 D) 336

30. The mean of 10 numbers is 30. If each number is increased by 5, the new mean is:

A) 30 B) 35 C) 40 D) 50

31. A lottery has 10 prizes and 500 tickets. If you buy one ticket, what is the probability of winning a prize?

A) 1/10 B) 1/50 C) 1/500 D) 10/500

32. In how many ways can the letters of the word 'ENGINEERING' be arranged?

A) 11! / (3! * 3! * 2!) B) 11! / (3! * 2! * 2!) C) 11! / (3! * 3! * 2! * 2!) D) 11!

33. The sum of 5 numbers is 100. Their mean is 20. If one number is removed, the sum of the remaining 4 numbers is 80. What is the removed number?

A) 10 B) 15 C) 20 D) 25

34. A coin is tossed. What is the probability of getting a head?

A) 0 B) 1/2 C) 1 D) Cannot be determined

35. How many ways can 4 different colors be arranged in a circle?

A) 4 B) 12 C) 24 D) 6

36. The mean of the first 6 positive integers is:

A) 3 B) 3.5 C) 4 D) 4.5

37. From a group of 7 men and 6 women, a committee of 5 people is to be formed. What is the probability that the committee has exactly 3 men?

A) 210/429 B) 126/429 C) 105/429 D) 21/429

38. What is the value of ⁹P₃?

A) 84 B) 27 C) 504 D) 729

39. The median of the data set: 5, 2, 8, 1, 9, 4, 7 is:

A) 4 B) 5 C) 6 D) 7

40. A die is rolled once. What is the probability of getting a number greater than 4?

A) 1/6 B) 2/6 C) 3/6 D) 4/6

41. In how many ways can a president, vice-president, and secretary be chosen from a group of 10 people?

A) 100 B) 720 C) 120 D) 10!

42. The mode of the data set: 10, 12, 15, 12, 10, 12, 15, 12 is:

A) 10 B) 12 C) 15 D) Cannot be determined

43. Two cards are drawn from a deck of 52 cards without replacement. What is the probability that both are hearts?

A) 1/17 B) 13/51 C) 13/52 D) 1/16

44. What is the value of ⁶C₄?

A) 6 B) 15 C) 30 D) 24

45. The mean of 8 numbers is 40. If one number is removed, the mean of the remaining 7 numbers is 38. What is the removed number?

A) 38 B) 40 C) 50 D) 54

46. A number is chosen at random from the numbers 1 to 30. What is the probability that the number is a multiple of 5?

A) 1/5 B) 6/30 C) 5/30 D) 1/6

47. In how many ways can 6 distinct items be arranged in a line?

A) 6 B) 36 C) 720 D) 120

48. The mean of the first 5 even numbers is:

A) 6 B) 8 C) 10 D) 12

49. A bag contains 4 red and 6 black balls. If two balls are drawn at random, what is the probability that one is red and the other is black?

A) 24/45 B) 12/45 C) 10/45 D) 1/45

50. How many permutations are possible for the letters of the word 'ASSASSINATION'?

A) 13! / (4! * 3! * 2!) B) 13! / (4! * 3! * 2! * 2!) C) 13! / (4! * 3! * 3!) D) 13!

Probability, Permutation and Combination, Statistics - Online Test

Test Results