Quantitative Aptitude

Clocks and Calendars

428 Questions
All Angle between hands 150 Clock gaining or losing time 132 Clock hands coincidence 69 Right angle times 30 Find time from angle 21 Decoding mixed date formats 7 Find day using reference date 6 Repeating same calendar 6 Date without reference day 3

Clocks and Calendars Questions

Multiple choice general knowledge math & puzzles

Joey leaves his house in the morning to go to day camp. Just as he is leaving his house he looks at an analog clock reflected in the mirror. There are no numbers on the clock, so Joey makes an error in reading the time since it is a mirror image. Joey assumes there is something wrong with the clock and rides his bike to day camp. He gets there in 20 minutes and finds that just as he gets there the day camp clock has a time that is 2 1/2 hours (2 hours and 30 minutes) later than the time that he saw in the mirror image of his clock at home. What time was it when he got to day camp? (The clock at camp and the clock at home were both set to the correct time.)

  1. 07:05

  2. 07:25

  3. 07:45

  4. 07:30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The actual time at home was 7:05. Mirror reflection shows 4:55 (mirrored horizontally). Joey rides for 20 minutes and arrives at camp at 7:25, which is exactly 2.5 hours after 4:55. Working backwards from the given constraints confirms 7:25 as the arrival time.

Multiple choice general knowledge

If the hour hand on a clock moves 1/60th of a degree every minute then how many degrees will the hour hand move in one hour?

  1. 360 degrees

  2. 60 degrees

  3. 1 degree

  4. 120 degree
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To solve this question, the user needs to know the number of minutes in an hour and the angle moved by the hour hand in one minute.

The hour hand of a clock completes one full revolution of 360 degrees in 12 hours, or 720 minutes. Thus, in one minute, the hour hand moves 360/720 = 1/2 of a degree.

To find the answer, we need to multiply the number of degrees moved by the hour hand in one minute by the number of minutes in an hour:

1/2 * 60 = 30

Therefore, the hour hand on the clock moves 30 degrees in one hour.

Now let's go through each option and explain why it is right or wrong:

A. 360 degrees: This option is incorrect. The hour hand of a clock does not move 360 degrees in one hour, as it only completes 1/12th of a revolution.

B. 60 degrees: This option is incorrect. The minute hand of a clock moves 60 degrees in one hour, but the hour hand moves much less.

C. 1 degree: This option is incorrect. The hour hand moves much more than 1 degree in one hour.

D. 120 degrees: This option is incorrect. The hour hand moves 30 degrees in one hour, not 120 degrees.

Therefore, The Answer is: C. 1 degree.

Multiple choice general knowledge math & puzzles

At noon the hour, minute, and second hands coincide. In about one hour and five minutes the minute and hour hands will coincide again. What is the exact time (to the millisecond) when this occurs, and what angle will they form with the second hand?(Assume that the clock hands move continuously.)

  1. 1:05:27,273 & 131 degrees.

  2. 1:08:27,286 & 135 degrees.

  3. 1:02:23,595 & 128 degrees.

  4. 1:00:20,235 & 130 degrees.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The minute and hour hands coincide at intervals of exactly 12/11 hours, which is 1 hour, 5 minutes, and 27.273 seconds. At this exact time, the second hand is at 27.273 seconds, which corresponds to an angle of approximately 131 degrees from the other two hands.

Multiple choice general knowledge math & puzzles

A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?

  1. 48 min. past 12

  2. 38 min. past 12

  3. 28 min. past 12

  4. 25 min. past 12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From 8 a.m. on one day to 1 p.m. on the following day is 29 hours of indicated clock time. Since the clock gains 10 minutes every 24 hours, 24 hours and 10 minutes (1450 minutes) of indicated time corresponds to 24 hours (1440 minutes) of true time. Therefore, 29 hours of indicated time corresponds to $29 \times (1440 / 1450) = 28.8$ hours of true time, which is 28 hours and 48 minutes. Adding 28 hours and 48 minutes to 8 a.m. gives 12:48 p.m., or 48 minutes past 12.

Multiple choice general knowledge math & puzzles

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

  1. 0.181822916666667

  2. 0.185989583333333

  3. 0.14015625

  4. 0.181765046296296
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The hands align when the minute hand catches up to the hour hand. At 4:00, the hour hand is at 20 minutes. The relative speed is 11/12 minutes per minute. Time = 20 / (11/60) hours? No, 20/(11/12) = 21.818 minutes past 4. 21.818/1440 minutes in a day is 0.18182. The decimal represents the fraction of a 24-hour day.

Multiple choice general knowledge math & puzzles

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

  1. 4:21:49.5

  2. 4:27:49.5

  3. 3:21:49.5

  4. 4:21:44.5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

At 4:00, the hour hand is at 120° and the minute hand is at 0°. The minute hand moves at 6°/minute while the hour hand moves at 0.5°/minute, so the minute hand gains 5.5° per minute on the hour hand. To align, it must gain 120°. Time = 120/5.5 = 21.8181 minutes = 21 minutes 49.09 seconds. Option A (4:21:49.5) is the closest approximation.

Multiple choice general knowledge

Find the angle between the minute hand and hour hand of a clock when the time is 7.20?

  1. 150

  2. 90

  3. 120

  4. 100
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

At 7:20, the minute hand points at 4 (120 degrees from 12). The hour hand at 7:20 is one-third of the way from 7 to 8, at 210 + 10 = 220 degrees from 12 (or 220 - 360 = -140 degrees). The angle between them is 120 - (-140) = 260 degrees, but since we take the smaller angle, it's 360 - 260 = 100 degrees. Alternatively, using the formula: |60×7 - 11×20| / 2 = |420 - 220| / 2 = 100.

Multiple choice softskills creativity

How many degrees are there between clock hands at 3.15 pm?

  1. 9

  2. 6

  3. 0

  4. 5.5

  5. 7.5
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

At 3:15, the hour hand moves 1/4 of the way between 3 and 4 (15 minutes = 1/4 hour). Since numbers are 30° apart, the hour hand advances 7.5° from the 3. The minute hand points exactly at 3 (0° from 3). Therefore the angle between them is 7.5°. Many incorrectly assume the hour hand stays at 3 (giving 0°) or calculate full hour differences.

Multiple choice

A watch, which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the correct time is 4 p.m., what time will be indicated by that watch?

  1. 3:45 p.m.

  2. 4:10 p.m.

  3. 4:00 p.m.

  4. 4:15 p.m.

  5. 3:50 p.m.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

It is clear that the watch gains 5 seconds in every 3 minutes, and the number of hours between 7a.m to 4:00 p.m. is = 9 hours, i.e. 9 * 60 = 540 minutes. So, according to this, the watch will gain 540 minutes = 540 * 5 / 3 = 900 seconds and 900 seconds = 900 / 60 = 15 minutes. Thus, the watch will gain 15 minutes in 9 hours. Therefore, the time indicated by the watch at 4 p.m. = 4.00 + 0:15 = 4:15 pm.