Analytical Reasoning Practice Questions

1. A box contains 4 red balls, 5 blue balls, and 6 green balls. If three balls are drawn at random without replacement, what is the probability that all three balls are of different colors?

1/3

2/5

4/15

8/35

2. A box contains 3 red marbles, 4 blue marbles, and 5 green marbles. If two marbles are drawn at random without replacement, what is the probability that both are green?

1/6

5/22

1/4

1/3

3. If no X is Y, and all Z are Y, which of the following must be true?

All X are Z

No X are Z

Some X are Z

Some Z are not X

4. If all Zorks are Blips, and some Blips are Glops, which of the following must be true?

All Zorks are Glops

Some Zorks are Glops

No Zorks are Glops

None of the above

5. If 3x + 2y = 18 and 2x - y = 3, what is the value of x?

3

4

5

6

6. If X is greater than Y by 5, and Y is less than Z by 3, how much is X greater than Z?

2

3

5

8

7. In a group of 50 students, 30 play football, 25 play basketball, and 10 play both sports. How many students don't play either sport?

5

10

15

20

8. If all X are Y, and no Y are Z, which of the following must be true?

All X are Z

No X are Z

Some X are Z

Some Z are X

9. A student has to answer 6 out of 8 questions in an exam. In how many ways can the student choose the questions?

20

28

36

56

10. In a class of 40 students, 25 play soccer, 20 play basketball, and 10 play both sports. How many students play at least one of these sports?

30

35

40

45