A clock strikes once at 1 o'clock, twice at 2 o'clock and thrice at 3 o'clock, and so on. If it takes 12 seconds to strike at 5 o'clock, what is the time taken by it to strike at 10 o'clock?

The problem implies a direct proportionality between the number of times the clock strikes and the total time taken for those strikes.

1. Analyze the given information:

   • At 5 o'clock, the clock strikes 5 times.
   • The time taken to strike at 5 o'clock is 12 seconds.

2. Determine the time per strike (proportionality constant):

   • If 5 strikes take 12 seconds, then the time taken per strike is 12 seconds / 5 strikes = 2.4 seconds/strike.

3. Calculate the time for 10 o'clock:

   • At 10 o'clock, the clock strikes 10 times.
   • Using the time per strike calculated above, the total time taken for 10 strikes = 10 strikes * 2.4 seconds/strike = 24 seconds.

Therefore, the time taken by the clock to strike at 10 o'clock is 24 seconds.

Why other interpretations might be incorrect for this specific question: A common alternative approach for such problems involves calculating time based on the intervals between strikes (N-1 intervals for N strikes). If we used this method:

• At 5 o'clock, there are 5-1 = 4 intervals. If 4 intervals take 12 seconds, then 1 interval takes 3 seconds.
• At 10 o'clock, there are 10-1 = 9 intervals. This would take 9 * 3 = 27 seconds. However, since 24 seconds (Option B) is the correct answer, the direct proportionality method (time is directly proportional to the number of strikes) is the intended logic for this question.

The final answer is B) 24.