Logical reasoning questions for practice

1. A car travels 120 miles in 2 hours. What is its average speed in miles per hour?

40 mph

50 mph

60 mph

70 mph

2. A study finds that students who participate in music programs have higher math scores. The researchers conclude that music education improves mathematical ability. Which of the following is an assumption made in this conclusion?

All students have equal access to music programs

Mathematical ability is the most important academic skill

There are no other significant differences between music participants and non-participants

All types of music education have the same effect on math scores

3. Five books A, B, C, D, and E are placed on a table. If A is placed below E, C is placed above D, B is placed below A and D is placed above E, then which book touches the surface of the table?

A

B

C

D

4. All mammals are warm-blooded. All dogs are mammals. Therefore, all dogs are warm-blooded. This argument is:

Valid and sound

Valid but not necessarily sound

Invalid but possibly true

Invalid and false

5. 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?

5/10

7/10

8/10

9/10

6. Identify the sentence with the correct use of the dash:

The museum's new exhibit – featuring works by local artists – opens next week.

The museum's new exhibit: featuring works by local artists – opens next week.

The museum's new exhibit – featuring works by local artists, opens next week.

The museum's new exhibit featuring works by local artists – opens next week.

7. If a student studies hard, they will pass the exam. Sarah passed the exam. Which of the following can be concluded?

Sarah studied hard

Sarah did not study hard

Sarah may or may not have studied hard

Sarah cheated on the exam

8. A company implements a four-day workweek without reducing total hours. After three months, productivity increases by 10%. What is the most likely cause of this increase?

Improved work-life balance leading to more focused work

Longer individual workdays

Increased competition among employees

More efficient use of technology

9. If 3y + 4 = 25, what is the value of y?

5

6

7

8

10. "If we allow athletes to use performance-enhancing drugs, soon everyone will be using them, and natural talent will become meaningless." What logical fallacy does this statement illustrate?

Slippery slope

False equivalence

Hasty generalization

Appeal to nature