Striking-clock interval logic: If a clock strikes 6 times in 5 seconds, how many times will it strike in 10 seconds?

Difficulty: Easy

Correct Answer: 11

Explanation:


Introduction / Context:
For striking clocks, the duration refers to the time between the first and last strike, i.e., to the number of intervals, which is strikes − 1. If 6 strikes take 5 seconds, then each interval lasts 1 second. Scale this to the requested time span.


Given Data / Assumptions:

  • 6 strikes in 5 seconds ⇒ 5 intervals in 5 s ⇒ 1 s per interval.
  • We want the number of strikes that can occur over 10 seconds.


Concept / Approach:
Number of intervals in 10 seconds = 10/1 = 10. Strikes = intervals + 1 = 11.


Step-by-Step Solution:

Interval = 1 s.Intervals in 10 s = 10 ⇒ strikes = 10 + 1 = 11.


Verification / Alternative check:
Check proportionality: doubling duration doubles the number of intervals; the strike count grows by one beyond those intervals.


Why Other Options Are Wrong:
10/9/8 are counts of intervals, not strikes, or undercounts the extra end strike.


Common Pitfalls:
Confusing “strikes” with “intervals between strikes.”


Final Answer:
11

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