Analytical Reasoning Practice Questions

1. If a car travels 240 miles in 4 hours, what is its average speed in miles per hour?

50

55

60

65

2. A train travels at 60 mph for 2 hours and then at 80 mph for 3 hours. What is the average speed of the train for the entire journey?

70 mph

72 mph

74 mph

76 mph

3. A box contains 3 red balls, 4 blue balls, and 5 green balls. If two balls are drawn at random without replacement, what is the probability that they are of different colors?

31/44

32/44

33/44

34/44

4. A recipe calls for 2 cups of flour to make 24 cookies. How many cups of flour are needed to make 36 cookies?

2.5 cups

3 cups

3.5 cups

4 cups

5. If some X are Y, and all 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 not X

6. 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

7. A company has five employees: A, B, C, D, and E. They work on different days of the week from Monday to Friday, with one person working each day. If B works on Tuesday and D works on Friday, which of the following could be true?

A works on Monday and C works on Wednesday

E works on Thursday and C works on Wednesday

C works on Monday and A works on Wednesday

E works on Monday and A works on Thursday

8. A box contains 4 red marbles, 3 blue marbles, and 5 green marbles. If one marble is drawn at random, what is the probability that it is not green?

4/12

5/12

7/12

8/12

9. A box contains 5 red marbles, 3 blue marbles, and 2 green marbles. If three marbles are drawn at random without replacement, what is the probability that at least one is red?

5/6

7/8

9/10

11/12

10. If all A are B, and some B are not C, which of the following must be true?

All A are C

No A are C

Some A are not C

None of the above