Calendar and clock problems - One Line Questions
1.
What is the angle between the hour hand and the minute hand at 6:00? —
180 degrees
2.
How many minutes does the hour hand move in 1 hour? —
6 degrees
3.
How many degrees does the hour hand move in 1 minute? —
0.5 degrees
4.
How many degrees does the minute hand move in 1 minute? —
6 degrees
5.
How many times do the hands of a clock overlap in 12 hours? —
11
6.
What is the angle between the hour hand and minute hand at 7:30? —
15 degrees
7.
If a clock strikes 3 in 3 seconds, how long will it take to strike 12? —
11 seconds
8.
If a clock loses 5 minutes every hour, and it was set right at 10 AM, what will be the actual time when the clock shows 10 AM the next day? —
10:50 AM
9.
If the time is 4:40, what is the angle between the hour hand and the minute hand? —
110 degrees
10.
If a clock strikes 6 in 6 seconds, how long will it take to strike 12? —
11 seconds
11.
A clock gains 2 minutes every hour. It is set right at 12 noon. What will be the actual time when the clock shows 12 noon the next day? —
11:48 AM
12.
A faulty clock shows 1:00 PM when the actual time is 12:00 PM. It gains 1 hour in 24 hours. What will be the actual time when the faulty clock shows 1:00 AM? —
12:00 AM
13.
What is the angle between the hour hand and the minute hand at 1:30? —
155 degrees
14.
A clock is showing 2:30. What is the angle between the hour hand and the minute hand? —
25 degrees
15.
What is the angle between the hour hand and the minute hand at 12:30? —
175 degrees
16.
At what time between 2 PM and 3 PM will the hands of a clock be together? —
2:12 and 8/11 minutes
17.
How many times in a day are the hour and minute hands exactly opposite to each other (form a 180-degree angle)? —
22
18.
How many times do the hands of a clock coincide in a period of 24 hours? —
22
19.
How many times do the hands of a clock form a 180-degree angle in 24 hours? —
22
20.
How many times do the hands of a clock point in opposite directions in a span of 24 hours? —
22
21.
How many times a day are the hands of a clock at right angles? —
44
22.
How many times in a day do the hour and minute hands of a clock coincide? —
22
23.
How many times in a day does the minute hand and hour hand coincide? —
22
24.
How many times in a week do the hands of a clock form a straight line (180 degrees)? —
44
25.
A watch which gains uniformly was set right at 8 AM. It indicates 10 AM at 10 PM. What is the correct time when the watch shows 4 PM? —
3 PM
26.
What is the angle between the hour hand and the minute hand at 11:00? —
30 degrees
27.
A clock shows 4:20. What is the angle between the hour hand and the minute hand? —
40 degrees
28.
At what time between 4 PM and 5 PM will the hands of a clock be together? —
4:21 and 9/11 minutes
29.
A clock is set right at noon. What will be the true time when the clock indicates 5 PM on the following day, if it gains 3 minutes in every hour? —
4:45 PM
30.
How many times do the hands of a clock form a 90-degree angle in 24 hours? —
44
31.
What is the angle between the hour hand and the minute hand at 5:25? —
12.5 degrees
32.
If a clock takes 3 seconds to strike 4, how long will it take to strike 7? —
6 seconds
33.
At what time between 5 PM and 6 PM will the hands of a clock be perpendicular to each other? —
5:20 and 1/11 minutes
34.
How many minutes does the minute hand gain on the hour hand in one hour? —
55
35.
What is the angle between the hour hand and the minute hand at 2:30? —
65 degrees
36.
What is the angle between the hour hand and the minute hand at 9:00? —
180 degrees
37.
At what time between 7 PM and 8 PM will the hands of a clock be together? —
7:38 and 2/11 minutes
38.
What is the angle between the hands of a clock at 3:15? —
22.5 degrees
39.
If a clock shows 3:30, what is the angle between the hour hand and the minute hand? —
105 degrees
40.
A clock is set right at 9 AM. If it loses 10 minutes every hour, what will be the actual time when the clock shows 9 AM the next day? —
8:30 AM
41.
What is the angle between the hour hand and the minute hand at 6:15? —
82.5 degrees
42.
A clock gains 5 seconds every hour. It is set right at 8 AM. What will be the actual time when the clock shows 10 PM on the same day? —
9:40 PM
43.
A clock is set right at 10 AM. It loses 10 minutes every hour. What will be the actual time when the clock shows 10 AM the next day? —
9:30 AM
44.
A clock is set right at 8 AM. It gains 5 minutes every hour. What will be the actual time when the clock shows 10 PM on the same day? —
9:20 PM
45.
What is the angle between the hour hand and the minute hand at 8:40? —
100 degrees
46.
What is the angle between the hour hand and the minute hand at 10:10? —
115 degrees
47.
If the 1st of January of a leap year is a Thursday, what day of the week will be the 1st of January of the following year? —
Saturday
48.
If today is Saturday, what day of the week will it be 100 days from now? —
Wednesday
49.
What day of the week was January 1st, 2000? —
Saturday
50.
If 15th August 2023 was a Tuesday, what day of the week will be 15th August 2024? —
Thursday