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A certain clock rings two notes at quarter past the hour, four notes

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A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

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New post 22 Nov 2016, 10:00
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A
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Difficulty:

  65% (hard)

Question Stats:

58% (02:12) correct 42% (01:58) wrong based on 115 sessions

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A certain clock rings two notes at quarter past the hour, four notes at half past, and six notes at three-quarters past. On the hour, it rings eight notes plus an additional number of notes equal to whatever hour it is. How many notes will the clock ring from 1:00 p.m. through 5:00 p.m., including the rings at 1:00 and 5:00?

A) 87
B) 95
C) 102
D) 103
E) 115
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Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

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New post 22 Nov 2016, 10:57
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1
Clock rings
2 notes at quarter past the hour,
4 notes at half past,
6 notes at three-quarters past.
8 notes plus an additional number of notes equal to hour
At 1 pm, clock rings 8+1 = 9 notes.
Similarly, clock rings 10,11,12,13 notes at each time of 2 pm, 3 pm, 4 pm, 5 pm.
In between an hr, clock rings 2+4+6=12 notes.
therefore, clock rings 12+12+12+12=48 notes from 1pm to 5pm.
Total number of notes = 9+10+11+12+13+48=103
Answer D.
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Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

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New post 22 Nov 2016, 11:02
Form 1 PM to 5 PM.

Exclcuding the actual hour chime we have 20 (1PM)+20(2PM) +20(3PM)+20(4PM) +8 (5PM) = 88

Now the hour chimes are 1+2+3+4+5 = 15

Total = 88+15 = 103
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Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

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Re: A certain clock rings two notes at quarter past the hour, four notes   [#permalink] 04 Nov 2018, 00:50
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