Question

A cuckoo bird on a cuckoo clock springs

out of its doors twice for every strike of
the bell. The bell on the clock strikes the
number of the hours every hour. For
example, at 8 o'clock the clock strikes eight
times and at 9 o'clock it strikes nine times.
How many times does the cuckoo bird
spring through its doors each day?
A 156
B 312
C 600
D 1200

Answer 1

Let's break down the problem step by step to find out how many times the cuckoo bird springs through its doors each day.

The cuckoo bird springs out of its doors twice for every strike of the bell.

The bell on the clock strikes the number of the hours every hour.

So, for each hour, the cuckoo bird springs out of its doors twice the number of times the bell strikes. For example, at 8 o'clock, the bell strikes eight times, and the cuckoo bird springs out 2 * 8 = 16 times.

Now, we need to find out how many times the cuckoo bird springs through its doors in a 12-hour period (from 1 o'clock to 12 o'clock) since the cuckoo clock usually covers 12 hours.

Let's calculate it:

Total times for 1 to 12 o'clock = 2 * (1 + 2 + 3 + ... + 11 + 12)

= 2 * (1 + 2 + 3 + ... + 10 + 11 + 12)

= 2 * (78) [Sum of the first n natural numbers: n(n+1)/2]

= 156

So, the cuckoo bird springs through its doors 156 times each day.

The correct option is A) 156.

Explanation:

Hope this helps