Analytical Reasoning Practice Questions

1. In a class of 30 students, 16 play football, 14 play basketball, and 5 play both sports. How many students don't play either sport?

3

4

5

6

2. 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

3. If all Xs are Ys, and some Ys are Zs, which of the following statements must be true?

All Xs are Zs

Some Xs are Zs

No Xs are Zs

All Zs are Xs

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

All A are C

No A are C

Some A are C

Some C are A

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

All squares are parallelograms

All parallelograms are rectangles

Some parallelograms are squares

Some rectangles are squares

6. 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

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

3

4

5

6

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

16

25

36

49

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

50

55

60

65

10. 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