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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?
[2017]
- a)20 seconds
- b)24 seconds
- c)28 seconds
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A clock strikes once at 1 oclock, twice at 2 oclock and thrice at 3 oc...
Solution:
Let us consider the time taken by the clock to strike for each hour.
At 1 o'clock, the clock strikes once.
At 2 o'clock, the clock strikes twice.
At 3 o'clock, the clock strikes thrice.
At 4 o'clock, the clock strikes four times.
And so on.
Therefore, at 12 o'clock, the clock strikes 12 times.
Let us assume that the clock takes x seconds to strike once.
From the given information, we can form the following equation:
2x + 3x + 4x + 5x + 6x = 12 seconds
20x = 12 seconds
x = 0.6 seconds
Therefore, the clock takes 0.6 seconds to strike once.
To calculate the time taken by the clock to strike at 10 o'clock, we need to find the total number of times the clock strikes from 1 o'clock to 10 o'clock.
1 o'clock - 1 strike
2 o'clock - 2 strikes
3 o'clock - 3 strikes
4 o'clock - 4 strikes
5 o'clock - 5 strikes
6 o'clock - 6 strikes
7 o'clock - 7 strikes
8 o'clock - 8 strikes
9 o'clock - 9 strikes
10 o'clock - 10 strikes
Total strikes = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
Total strikes = 55
Therefore, the time taken by the clock to strike at 10 o'clock = 55 x 0.6 seconds
= 33 seconds
Therefore, the correct answer is option D, None of these.
Let us consider the time taken by the clock to strike for each hour.
At 1 o'clock, the clock strikes once.
At 2 o'clock, the clock strikes twice.
At 3 o'clock, the clock strikes thrice.
At 4 o'clock, the clock strikes four times.
And so on.
Therefore, at 12 o'clock, the clock strikes 12 times.
Let us assume that the clock takes x seconds to strike once.
From the given information, we can form the following equation:
2x + 3x + 4x + 5x + 6x = 12 seconds
20x = 12 seconds
x = 0.6 seconds
Therefore, the clock takes 0.6 seconds to strike once.
To calculate the time taken by the clock to strike at 10 o'clock, we need to find the total number of times the clock strikes from 1 o'clock to 10 o'clock.
1 o'clock - 1 strike
2 o'clock - 2 strikes
3 o'clock - 3 strikes
4 o'clock - 4 strikes
5 o'clock - 5 strikes
6 o'clock - 6 strikes
7 o'clock - 7 strikes
8 o'clock - 8 strikes
9 o'clock - 9 strikes
10 o'clock - 10 strikes
Total strikes = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
Total strikes = 55
Therefore, the time taken by the clock to strike at 10 o'clock = 55 x 0.6 seconds
= 33 seconds
Therefore, the correct answer is option D, None of these.
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Community Answer
A clock strikes once at 1 oclock, twice at 2 oclock and thrice at 3 oc...
A clock strikes once strikes once 1 clock, twise at 2 o, clock
and thrice at 3 o, clock 12 second so on 12 second to all
strikes ,
at 5 , clock 12 second to strike 5 clock time
none of these ans
and thrice at 3 o, clock 12 second so on 12 second to all
strikes ,
at 5 , clock 12 second to strike 5 clock time
none of these ans
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A clock strikes once at 1 oclock, twice at 2 oclock and thrice at 3 oclock, and so on. If it takes 12 seconds to strike at 5 oclock, what is the time taken by it to strike at 10 oclock?[2017]a)20 secondsb)24 secondsc)28 secondsd)None of theseCorrect answer is option 'D'. Can you explain this answer?
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