Multiple choice general knowledge math & puzzles

There is a clock that has a special way of telling the time. It does not have any hands or numbers on it, but it has a chimer. If the time is 1 o'clock, it chimes once. If the time is 2 o'clock, it chimes twice, and so forth. The time gap between any two chimes is 3 seconds. How many seconds would it take you to know the time, after the first chime is heard, if it is 6 o'clock?

  1. 16

  2. 14

  3. 18

  4. 24

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To solve this question, you need to determine the number of chimes and the time gap between each chime from 1 o'clock to 6 o'clock.

At 1 o'clock, there is 1 chime. At 2 o'clock, there are 2 chimes. At 3 o'clock, there are 3 chimes. At 4 o'clock, there are 4 chimes. At 5 o'clock, there are 5 chimes. At 6 o'clock, there are 6 chimes.

The time gap between each chime is 3 seconds.

To calculate the time it takes to know the time after the first chime, you need to add up the time gap between each chime.

For example, to know the time after the first chime at 6 o'clock, you need to add up the time gap between each chime from 1 o'clock to 6 o'clock:

(1-1) + (2-1) + (3-1) + (4-1) + (5-1) + (6-1)

Simplifying this, you get:

(0) + (1) + (2) + (3) + (4) + (5)

Adding these numbers together, you get a sum of 15.

However, this sum does not include the first chime, so you need to add 3 more seconds to account for the time it takes for the first chime to be heard.

Therefore, the total time it takes to know the time after the first chime at 6 o'clock is 15 + 3 = 18 seconds.

Hence, the correct answer is C. 18.

AI explanation

At 6 o'clock the clock chimes 6 times with 3-second gaps between chimes, so from the first chime to the last (6th) chime takes 5 gaps × 3 seconds = 15 seconds. To be sure no 7th chime is coming (and thus confirm it really is 6 o'clock, not later), you must wait one more 3-second gap, giving 15 + 3 = 18 seconds total. This extra confirmation wait is the classic twist in this type of chime-counting puzzle.