Permutations, Probability & Logical Reasoning
1. In how many ways can 5 people be arranged in a row?
2. A die is thrown once. What is the probability of getting an even number?
3. All birds are animals. Some animals are dogs. Which conclusion follows?
4. In how many ways can 3 items be selected from 8 different items?
5. The bar graph shows sales (in lakhs) over years. If sales in 2019 were 30 lakhs and in 2020 were 40 lakhs, what is the increase?
6. Two cards are drawn from a deck of 52 cards. What is the probability that both are red?
7. In how many ways can 6 people be seated around a circular table?
8. Some cats are dogs. All dogs are animals. Which conclusion is valid?
9. In a pie chart showing family budget, if the sector for Education is 72°, what percentage of budget is spent on Education?
10. How many different words can be formed using the letters of the word 'MOTHER'?
11. Two dice are thrown. What is the probability that the sum is 7?
12. All roses are flowers. Some flowers are red. Which conclusion follows?
13. A committee of 4 students is to be formed from 10 students. In how many ways can this be done?
14. A line graph shows production over months. If production in January was 100 units and in March was 150 units, what is the increase?
15. A card is drawn from a deck of 52 cards. What is the probability of drawing a king?
16. How many different arrangements can be made using the letters of the word 'SCHOOL'?
17. No books are pens. All pens are tools. Which conclusion is correct?
18. A table shows marks of 50 students. If 20 students scored above 80 marks, what percentage scored above 80?
19. Two dice are thrown. What is the probability that the sum is 11?
20. In how many ways can 2 books be selected from 12 different books?
21. Some doctors are teachers. All teachers are educated. Which conclusion follows?
22. In how many ways can 4 boys and 3 girls be arranged in a row?
23. A card is drawn from a deck. What is the probability of drawing a heart?
24. A histogram shows age distribution of 200 people. If 40 people are in the 25-35 age group, what percentage does this represent?
25. How many different words can be formed using the letters of 'LETTER'?
26. All squares are rectangles. Some rectangles are rhombus. Which conclusion is valid?
27. Two dice are thrown. What is the probability that the sum is 8?
28. A team of 3 girls is to be selected from 8 girls. In how many ways can this be done?
29. In a scatter plot showing relationship between study hours and marks, if points show an upward trend, what does this indicate?
30. A card is drawn from a deck. What is the probability of drawing a face card?
31. In how many ways can 3 men and 3 women be arranged in a row such that men and women alternate?
32. No cats are dogs. All dogs are mammals. Which conclusion follows?
33. A bag contains 5 red and 5 blue balls. Two balls are drawn without replacement. What is the probability that both are red?
34. How many different arrangements can be made using the letters of 'BANANA'?
35. A frequency table shows sports preferences of 150 students. If 30 students prefer cricket, what percentage prefers cricket?
36. Some engineers are doctors. All doctors are graduates. Which conclusion is valid?
37. Two dice are thrown. What is the probability that the sum is 6?
38. A cricket team of 5 players is to be selected from 15 players. In how many ways can this be done?
39. A card is drawn from a deck. What is the probability of drawing an ace?
40. A bar chart shows quarterly sales. If Q1 sales were 80 lakhs and Q3 sales were 120 lakhs, what is the increase?
41. In how many ways can 5 different books be arranged on a shelf?
42. All triangles are polygons. Some polygons are squares. Which conclusion follows?
43. A bag contains 5 red and 3 blue balls. Two balls are drawn without replacement. What is the probability that both are blue?
44. How many different words can be formed using the letters of 'COMMITTEE'?
45. In a pie chart showing monthly expenses, if the sector for Transport is 90°, what percentage is spent on Transport?
46. Two dice are thrown. What is the probability that the sum is 9?
47. A committee of 6 members is to be formed from 20 people. In how many ways can this be done?
48. Some lawyers are judges. All judges are educated. Which conclusion is correct?
49. A card is drawn from a deck. What is the probability of drawing a black card?
50. A line graph shows temperature over 5 days. If Day 1 temperature was 25°C and Day 5 was 35°C, what is the increase?