Analytical Reasoning Practice Questions

1. In a group of 100 people, 60 like pizza, 70 like burgers, and 40 like both. How many people like either pizza or burgers?

80

85

90

95

2. A train travels at a constant speed of 80 km/h. How far will it travel in 2.5 hours?

160 km

180 km

200 km

220 km

3. If all X are Y, and some Y are not Z, which of the following must be true?

All X are Z

No X are Z

Some X are not Z

Some Z are not X

4. If all squares are rectangles, and all rectangles are parallelograms, which of the following must be true?

All parallelograms are squares

All parallelograms are rectangles

All squares are parallelograms

Some parallelograms are not rectangles

5. 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

6. In a class of 50 students, 30 passed math, 35 passed science, and 20 passed both subjects. How many students failed both subjects?

5

10

15

20

7. In a group of 60 people, 25 speak English, 20 speak French, and 15 speak both English and French. How many people in the group speak neither English nor French?

20

25

30

35

8. If no A is B, and all B are C, which of the following must be true?

All A are C

No A are C

Some A are not C

Some C are not A

9. A box contains 6 red marbles, 4 blue marbles, and 2 green marbles. If two marbles are drawn at random without replacement, what is the probability that both are blue?

1/11

2/11

1/6

1/3

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

7/33

11/66

13/66

5/22