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 February 17th, 2018, 06:01 PM #1 Senior Member   Joined: Aug 2014 From: India Posts: 295 Thanks: 1 How to solve this problem regarding clock strikes? Question: A clock strikes once at 1:00 Clock and twice at 2:00 clock, thrice at 3:00 clock, and so on, respectively. How many total strikes per day? Solution: 1 + 2 + 3 + 4.........+ 12 = 12(13)/2 = 78 × 2 = 156 (Answer) My doubt - how can a clock hits "once at 1:00 clock" if 1:00 clock happens twice per day, i.e. 1 am and 1 pm? Last edited by skipjack; February 17th, 2018 at 06:52 PM.
 February 17th, 2018, 06:12 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond When the clock shows one it strikes once, be it am or pm.
February 18th, 2018, 01:11 AM   #3
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Quote:
 Originally Posted by greg1313 When the clock shows one it strikes once, be it am or pm.
I think you misunderstood the question, In my question there is also a sentence
which says " twice at 2:00 clock, thrice at 3:00 clock". if you say "When the clock shows one it strikes once, be it am or pm." then it is impossible to twice at 2:00 clock, thrice at 3:00 clock.

Are you saying question is wrong?

February 18th, 2018, 01:44 AM   #4
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Quote:
 Originally Posted by Ganesh Ujwal A clock strikes once at 1:00 Clock and twice at 2:00 clock, thrice at 3:00 clock...
At one pm the clock strikes once. At one am the clock strikes once. A two pm the clock strikes twice. At two am the clock strikes twice. At three pm the clock strikes thrice. At three am the clock strikes thrice. And so on.

February 18th, 2018, 02:08 AM   #5
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Quote:
 Originally Posted by greg1313 At two am the clock strikes twice.
How ? you mean shorter hand at 2 and longer hand at 12. which shows twice?

 February 18th, 2018, 02:10 AM #6 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond The clock chimes twice! Google "definition of chime" if you don't know what that means. Thanks from Ganesh Ujwal Last edited by greg1313; February 18th, 2018 at 02:14 AM.
 February 18th, 2018, 02:29 AM #7 Senior Member   Joined: Aug 2014 From: India Posts: 295 Thanks: 1 Solution: 1 + 2 + 3 + 4.........+ 12 = 12(13)/2 = 78 × 2 = 156 (Answer) Why they multiple with 13 and divided with 2. Last edited by Ganesh Ujwal; February 18th, 2018 at 02:42 AM.
 February 18th, 2018, 02:56 AM #8 Global Moderator   Joined: Dec 2006 Posts: 19,299 Thanks: 1688 The average of the first and last term is (1 + 12)/2 = 13/2. The sum is 12 (the number of terms) multiplied by the above average.
February 18th, 2018, 03:05 AM   #9
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Quote:
 Originally Posted by skipjack The average of the first and last term is (1 + 12)/2 = 13/2. The sum is 12 (the number of terms) multiplied by the above average.
Why did you bring average concept suddenly ?

February 18th, 2018, 04:14 AM   #10
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Quote:
 Originally Posted by Ganesh Ujwal My doubt - how can a clock hits "once at 1:00 clock" if 1:00 clock happens twice per day, i.e. 1 am and 1 pm?
That obviously means "hits 1 time at 1a.m. and 1 time at 1p.m."

Ding dong!

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