Analytical Reasoning Practice Questions

1. If X is three times Y, and Y is half of Z, what is X in terms of Z?

X = Z

X = 1.5Z

X = 2Z

X = 2.5Z

2. 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

3. In a group of 50 people, 30 speak English, 25 speak Spanish, and 10 speak both languages. How many people speak neither English nor Spanish?

5

10

15

20

4. A square has a perimeter of 20 inches. What is its area in square inches?

16

25

36

49

5. 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 both balls are of the same color?

7/33

11/66

13/66

5/22

6. If X + Y = 10 and X - Y = 4, what is the value of X?

3

5

7

9

7. In a class of 40 students, 25 play football, 20 play basketball, and 10 play both sports. How many students don't play either sport?

5

10

15

20

8. In a group of 80 people, 45 like chocolate ice cream, 50 like vanilla ice cream, and 15 like both flavors. How many people don't like either flavor?

0

5

10

15

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

All A are C

No A are C

Some A are C

Some C are A

10. If X is greater than Y, and Y is greater than Z, which of the following must be true?

X is greater than Z

X is equal to Z

Z is greater than X

X is less than Z