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# "Test Your Logical Reasoning Skills with These Multiple Choice Questions About Clocks"

Clocks in logical reasoning involve solving problems related to time, including calculating angles between clock hands, determining the time after a certain duration, and finding the time when given a specific angle between the hands of a clock.

Concept Explanation:

Clock Basics: A clock has two hands - an hour hand and a minute hand. The hour hand completes one full rotation in 12 hours, while the minute hand completes one full rotation in 60 minutes.

Calculating Angles: The angle between the hour and minute hands can be calculated using the formula:

Where Hour is the hour (1 to 12) and Minutes is the minutes (0 to 59).

Time Calculation: To calculate the time after a certain duration, you add the given duration to the current time.

Converting Angles to Time: To find the time when given a specific angle between the hands of a clock, you can use the formula:

Example:

Problem: What is the angle between the hour and minute hands of a clock at 3:20?

Solution: Using the formula,

Multiple Choice Questions:

1. What is the angle between the hour and minute hands of a clock at 6:30?

A) 15 degrees

B) 30 degrees

C) 45 degrees

D) 60 degrees

2. If the time now is 3:45 pm, what will be the time 13 hours later?

A) 4:45 am

B) 4:45 pm

C) 5:45 am

D) 5:45 pm

3. What is the angle between the hour and minute hands of a clock at 9:15?

A) 30 degrees

B) 45 degrees

C) 60 degrees

D) 75 degrees

4. If the time now is 8:20 am, what will be the time 3 hours and 45 minutes later?

A) 11:05 am

B) 12:05 pm

C) 12:05 am

D) 1:05 pm

5. What is the angle between the hour and minute hands of a clock at 4:50?

A) 100 degrees

B) 105 degrees

C) 110 degrees

D) 115 degrees

6. If the time now is 2:30 pm, what will be the time 5 hours and 45 minutes later?

A) 8:15 pm

B) 8:15 am

C) 9:15 pm

D) 9:15 am

7. What is the angle between the hour and minute hands of a clock at 8:40?

A) 140 degrees

B) 145 degrees

C) 150 degrees

D) 155 degrees

8. If the time now is 5:25 am, what will be the time 4 hours and 30 minutes later?

A) 9:55 am

B) 9:55 pm

C) 10:55 am

D) 10:55 pm

9. What is the angle between the hour and minute hands of a clock at 10:10?

A) 45 degrees

B) 50 degrees

C) 55 degrees

D) 60 degrees

10. If the time now is 11:15 pm, what will be the time 6 hours and 45 minutes later?

A) 6:00 am

B) 6:00 pm

C) 5:00 am

D) 5:00 pm

11. What is the angle between the hour and minute hands of a clock at 1:50?

A) 125 degrees

B) 130 degrees

C) 135 degrees

D) 140 degrees

12. If the time now is 6:45 pm, what will be the time 2 hours and 30 minutes later?

A) 9:15 pm

B) 9:15 am

C) 8:15 pm

D) 8:15 am

13. What is the angle between the hour and minute hands of a clock at 7:20?

A) 70 degrees

B) 75 degrees

C) 80 degrees

D) 85 degrees

14. If the time now is 4:30 am, what will be the time 3 hours and 15 minutes later?

A) 7:45 am

B) 7:45 pm

C) 8:45 am

D) 8:45 pm

15. What is the angle between the hour and minute hands of a clock at 11:40?

A) 130 degrees

B) 135 degrees

C) 140 degrees

D) 145 degrees

16. If the time now is 9:55 pm, what will be the time 4 hours and 45 minutes later?

A) 2:40 am

B) 2:40 pm

C) 3:40 am

D) 3:40 pm

17. What is the angle between the hour and minute hands of a clock at 5:15?

A) 27.5 degrees

B) 30 degrees

C) 32.5 degrees

D) 35 degrees

18. If the time now is 12:20 pm, what will be the time 3 hours and 40 minutes later?

A) 3:00 pm

B) 3:00 am

C) 4:00 pm

D) 4:00 am

19. What is the angle between the hour and minute hands of a clock at 8:25?

A) 117.5 degrees

B) 122.5 degrees

C) 127.5 degrees

D) 132.5 degrees

20. If the time now is 2:10 pm, what will be the time 5 hours and 20 minutes later?

A) 7:30 pm

B) 7:30 am

C) 8:30 pm

D) 8:30 am