Question

Mohan has an antique clock which strikes and makes loud gong sound every hour. It strikes the exact number of times indicating the time of the day or night. His clock takes seven seconds to strike Seven O' clock, how many seconds will his clock take to strike Eleven O'clock?

• A. 11.22222227 seconds
• B. 11 seconds
• C. 11.66666667 seconds.
• D. None of the above

Answer 1

The Correct Option is C

To determine how many seconds Mohan's clock will take to strike Eleven O'clock, we first analyze the time it takes to strike Seven O'clock:

• The clock takes 7 seconds to strike 7 times. 

We can deduce the average time it takes for the clock to strike once:

Time per strike = \(\frac{7 \text{ seconds}}{7 \text{ strikes}} = 1 \text{ second per strike}\)

Now, apply this rate to Eleven O'clock, where the clock will strike 11 times:

Time for 11 strikes = \(11 \times 1 \text{ second per strike} = 11 \text{ seconds} \)

However, since the clock strikes at regular intervals and there is a slight additional time for completion, we re-evaluate using the proportional timing approach:

Given that for 7 strikes it takes 7 seconds, the time gap between strikes should also be considered. Essentially, you have 6 gaps between 7 strikes:

Time gap per strike = \(\frac{7 \text{ seconds}}{6 \text{ gaps}} = 1.\overline{1666667} \text{ seconds per gap} \)

For 11 strikes, there will be 10 gaps:

Total time = \(10 \times 1.\overline{1666667} \approx 11.6666667 \text{ seconds} \)

Therefore, the clock will take approximately 11.66666667 seconds to strike Eleven O'clock. Thus, the correct answer is:

11.66666667 seconds.