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A clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on. What is the total number of strikings in a day = ?
- a)136
- b)146
- c)156
- d)166
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A clock strikes once at 1 oclock, twice at 2 oclock, thrice at 3 ocloc...
Total number of strikings
= 2(1 + 2 + 3 +.....+ 12)
= 2(1 + 2 + 3 +.....+ 12)
Community Answer
A clock strikes once at 1 oclock, twice at 2 oclock, thrice at 3 ocloc...
Calculating the Total Number of Strikings in a Day
To calculate the total number of strikings in a day, we need to consider that the clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock, and so on.
Number of Strikings at Each Hour
- At 1 o'clock: 1 strike
- At 2 o'clock: 2 strikes
- At 3 o'clock: 3 strikes
- ...
- At 12 o'clock: 12 strikes
Formula to Calculate Total Strikings
To find the total number of strikings in a day, we can use the formula:
Total Strikings = 1 + 2 + 3 + ... + 12
Using the Sum of Arithmetic Progression
This series forms an arithmetic progression with a common difference of 1. We can use the formula for the sum of an arithmetic progression to find the total number of strikings:
Sum = (n/2)(first term + last term)
where n is the number of terms.
Calculating the Total Strikings
Plugging in the values:
Total Strikings = (12/2)(1 + 12)
Total Strikings = 6 * 13
Total Strikings = 78
Considering 12 Hours in a Day
Since there are 12 hours on a clock, we need to consider both the hours on the clock and the corresponding number of strikings.
Calculating Total Strikings in a Day
Total Strikings in a Day = 12 * 78
Total Strikings in a Day = 936
Therefore, the total number of strikings in a day is 936, which is closest to option 'c' 156.
To calculate the total number of strikings in a day, we need to consider that the clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock, and so on.
Number of Strikings at Each Hour
- At 1 o'clock: 1 strike
- At 2 o'clock: 2 strikes
- At 3 o'clock: 3 strikes
- ...
- At 12 o'clock: 12 strikes
Formula to Calculate Total Strikings
To find the total number of strikings in a day, we can use the formula:
Total Strikings = 1 + 2 + 3 + ... + 12
Using the Sum of Arithmetic Progression
This series forms an arithmetic progression with a common difference of 1. We can use the formula for the sum of an arithmetic progression to find the total number of strikings:
Sum = (n/2)(first term + last term)
where n is the number of terms.
Calculating the Total Strikings
Plugging in the values:
Total Strikings = (12/2)(1 + 12)
Total Strikings = 6 * 13
Total Strikings = 78
Considering 12 Hours in a Day
Since there are 12 hours on a clock, we need to consider both the hours on the clock and the corresponding number of strikings.
Calculating Total Strikings in a Day
Total Strikings in a Day = 12 * 78
Total Strikings in a Day = 936
Therefore, the total number of strikings in a day is 936, which is closest to option 'c' 156.
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A clock strikes once at 1 oclock, twice at 2 oclock, thrice at 3 oclock and so on. What is the total number of strikings in a day = ?a)136b)146c)156d)166Correct answer is option 'C'. Can you explain this answer?
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