WORD PROBLEM

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sayanpaul: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Tue Dec 18, 2012 9:24 am

by sayanpaul » Mon May 06, 2013 10:37 pm

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 between 1:00 pm and 5:00 pm including the rings at 1:00 and 5:00 ?

A.87
B.95
C.102
D.103
E.115

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Source: Beat The GMAT — Problem Solving | Mon May 06, 2013 10:37 pm

hemant_rajput: Master | Next Rank: 500 Posts; Posts: 447; Joined: Sun Apr 22, 2012 7:13 amFollowed by: 13 members; Thanked: 46 times; GMAT Score:700

by hemant_rajput » Mon May 06, 2013 11:11 pm

sayanpaul wrote: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 between 1:00 pm and 5:00 pm including the rings at 1:00 and 5:00 ?

A.87
B.95
C.102
D.103
E.115

at 1:00 - 8 + 1
b/w 1-2 + at 2:00 - 20 + 2
b/w 2-3 + at 3:00 - 20 + 3
b/w 3-4 + at 4:00 - 20 + 4
b/w 4-5 + at 5:00 - 20 + 5

total = 88 + 15 = 103

D

Last edited by hemant_rajput on Tue May 07, 2013 1:15 am, edited 2 times in total.

I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.

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aaggar7: Master | Next Rank: 500 Posts; Posts: 124; Joined: Sun Mar 11, 2012 8:48 pmFollowed by: 1 member; Thanked: 9 times

by aaggar7 » Tue May 07, 2013 12:00 am

Lets first get the count for 15 mins,30 mins,45 mins ring.

1-2 2 + 4 + 6 =12
2-3 =12
3-4 =12
4-5 =12

Total 48

Now lets calculate at each hour

1 8 + 1 = 9
2 = 10
3 = 11
4 = 12
5 = 13

= 55

So total rings = 48 + 55 = 103

hence D

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hemant_rajput: Master | Next Rank: 500 Posts; Posts: 447; Joined: Sun Apr 22, 2012 7:13 amFollowed by: 13 members; Thanked: 46 times; GMAT Score:700

by hemant_rajput » Tue May 07, 2013 1:16 am

I've edited my post for the mistake pointed by aagar7

I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.

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sayanpaul: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Tue Dec 18, 2012 9:24 am

by sayanpaul » Tue May 07, 2013 2:00 am

thats right, the answer is 103.

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