Q. A clock gains 5 minutes every hour. If it shows 10:00 AM now, what will be the actual time when it shows 12:00 PM?
A.11:30 AM
B.11:50 AM
C.12:10 PM
D.12:20 PM
Solution
In 2 hours, the clock will gain 10 minutes (5 minutes/hour * 2 hours). So, when the clock shows 12:00 PM, the actual time will be 12:00 PM - 10 minutes = 11:50 AM.
Correct Answer: B — 11:50 AM
Q. A clock shows 8:00. What will be the angle between the hour and minute hands at 8:30?
A.180 degrees
B.165 degrees
C.150 degrees
D.135 degrees
Solution
At 8:30, the hour hand is at 255 degrees (8 * 30 + 30 * 0.5) and the minute hand is at 180 degrees (30 * 6). The angle between them is |255 - 180| = 75 degrees.
Correct Answer: B — 165 degrees
Q. How many degrees does the minute hand move in 15 minutes?
A.90 degrees
B.75 degrees
C.60 degrees
D.45 degrees
Solution
The minute hand moves 6 degrees per minute. In 15 minutes, it moves 15 * 6 = 90 degrees.
Correct Answer: A — 90 degrees
Q. If a clock is set 10 minutes fast, what will be the actual time when it shows 5:50?
A.5:40
B.5:50
C.6:00
D.5:30
Solution
If the clock is 10 minutes fast, when it shows 5:50, the actual time is 5:50 - 10 minutes = 5:40.
Correct Answer: A — 5:40
Q. If a clock loses 2 minutes every hour, how much time will it show after 5 hours if it started at 12:00?
A.4:00
B.4:10
C.4:20
D.4:30
Solution
In 5 hours, the clock will lose 10 minutes (2 minutes/hour * 5 hours). So, it will show 12:00 - 10 minutes = 11:50.
Correct Answer: B — 4:10
Q. If a clock shows 12:45, what is the angle between the hour and minute hands?
A.135 degrees
B.150 degrees
C.165 degrees
D.180 degrees
Solution
At 12:45, the hour hand is at 337.5 degrees (12 * 30 + 45 * 0.5) and the minute hand is at 270 degrees (45 * 6). The angle between them is |337.5 - 270| = 67.5 degrees.
Correct Answer: C — 165 degrees
Q. If a clock shows 3:15, what is the angle between the hour and the minute hand?
A.7.5 degrees
B.22.5 degrees
C.45 degrees
D.52.5 degrees
Solution
At 3:15, the hour hand is at 97.5 degrees (3 hours * 30 + 15 minutes * 0.5) and the minute hand is at 90 degrees (15 minutes * 6). The angle between them is |97.5 - 90| = 7.5 degrees.
Correct Answer: D — 52.5 degrees
Q. If it is 6:00 PM now, what time will it be after 3 hours and 45 minutes?
A.9:45 PM
B.9:15 PM
C.8:45 PM
D.8:15 PM
Solution
Adding 3 hours and 45 minutes to 6:00 PM gives 9:45 PM.
Correct Answer: A — 9:45 PM
Q. What is the time difference between 2:30 PM and 4:15 PM?
A.1 hour 45 minutes
B.1 hour 30 minutes
C.2 hours 15 minutes
D.2 hours 45 minutes
Solution
The time difference is 4:15 PM - 2:30 PM = 1 hour 45 minutes.
Correct Answer: A — 1 hour 45 minutes
Q. What is the time shown on a clock if the hour hand is at 2 and the minute hand is at 6?
A.2:30
B.2:15
C.2:45
D.2:00
Solution
The minute hand at 6 indicates 30 minutes. Therefore, the time is 2:30.
