GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Dec 2019, 15:36 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # A certain clock rings two notes at quarter past the hour, four notes

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59712
A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags 00:00

Difficulty:   65% (hard)

Question Stats: 51% (01:57) correct 49% (01:54) wrong based on 39 sessions

### HideShow timer Statistics

Competition Mode Question

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

_________________
Intern  B
Joined: 08 Nov 2016
Posts: 4
Location: Indonesia
GPA: 3.44
WE: Analyst (Insurance)
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

( 20 x 4 ) + ( 1 + 2 + 3 + 4 + 5 ) = 95.

B

Posted from my mobile device
Manager  B
Joined: 20 Jul 2019
Posts: 55
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
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

Posted from my mobile device
Senior Manager  P
Joined: 07 Mar 2019
Posts: 456
Location: India
GMAT 1: 580 Q43 V27 WE: Sales (Energy and Utilities)
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
1
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

As per the question at every hour eight notes ring plus additional notes for the number of hour it rings eight notes for. For every 15minutes past the hour 2 notes, 30 minutes past the hour 4 notes and 45 minutes 6 minutes. Refer snapshot below.
Attachment:
File comment: Clock notes Clock notes.png [ 37.6 KiB | Viewed 519 times ]

Since only notes for hour starting 5pm are counted, no notes are to be considered past it.

_________________
Ephemeral Epiphany..!

GMATPREP1 590(Q48,V23) March 6, 2019
GMATPREP2 610(Q44,V29) June 10, 2019
GMATPREPSoft1 680(Q48,V35) June 26, 2019
Senior Manager  P
Joined: 01 Mar 2019
Posts: 338
Location: India
Concentration: Strategy, Social Entrepreneurship
Schools: Ross '22, ISB '20, NUS '20
GPA: 4
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
OA:D
Attachments 1572245872758708479571.jpg [ 2.26 MiB | Viewed 573 times ]

Manager  G
Joined: 17 Jan 2019
Posts: 127
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
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?

2(4)+
4(4)+
6(4)+
8(5)+1+2+3+4+5
=8+16+24+40+15
=103

(A) 87
(B) 95
(C) 102
(D) 103
(E) 115

Therefore, D
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5479
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
for following mins the clock rings
15-2
30-4
45-6
i,e 12 times in between hours
and
for every hour 8+ ( count of hr hand)
so from 1 PM to 5 PM
we have
4*12+8*5+(1+2+3+4+5) = 48+40+15 ; 103
IMO D

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
Senior Manager  G
Joined: 25 Jul 2018
Posts: 399
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
—> From 01:00 to 02:00 —> (8+1)+ (2+4+6+8)+ 2 = 31 notes ( including 01:00 and 02:00)

—> from 02:00 to 03:00–> (2+4+6+8)+ 3= 23 (including 03:00)

—> from 03:00 to 04:00–> (2+4+6+8)+ 4= 24 (including 04:00)

—>from 04:00 to 05:00–> (2+4+6+8)+ 5= 25 (including 05:00)

In total, the clock will ring 31+23+24+25= 103 notes from 01:00 to 05:00 p.m.

Posted from my mobile device
Director  P
Joined: 24 Nov 2016
Posts: 963
Location: United States
A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

Quote:
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

1:00 = 8 + (1) = 9
1:00-2:00 = 2 + 4 + 6 + 8 + (2) = 22
2:00-3:00 = 2 + 4 + 6 + 8 + (3) = 23
3:00-4:00 = 2 + 4 + 6 + 8 + (4) = 24
4:00-5:00 = 2 + 4 + 6 + 8 + (5) = 25
Total = 103 notes

Originally posted by exc4libur on 28 Oct 2019, 06:57.
Last edited by exc4libur on 02 Nov 2019, 14:07, edited 1 time in total.
Senior Manager  G
Joined: 29 Jun 2019
Posts: 470
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

1
4×2 + 4×4 + 4×6 + 9+10+11+12+13= 103

Posted from my mobile device
_________________
Always waiting
Director  P
Joined: 18 May 2019
Posts: 550
A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

From 1pm to 5pm, we have five hours, since the clock will ring on the 1pm hour mark as well.

Total number of notes = 5*(no. notes on the quarter-hour past the hour mark + number of notes on half hour past the hour mark + number of notes on three quarters past the hour mark + no. of notes on the hour mark) + no. of rings on the 5pm hour mark + 1+2+3+4+5
=4*(2+4+6+8)+8+15
=80+8+15
=103.

Nice question. I got it wrong the first time.

Originally posted by eakabuah on 28 Oct 2019, 09:30.
Last edited by eakabuah on 28 Oct 2019, 22:42, edited 1 time in total.
Intern  B
Joined: 25 Nov 2017
Posts: 13
Re: A certain clock rings two notes at quarter past the hour, four notes  [#permalink]

### Show Tags

2
D

for the hours:
1 to 5 - 5+4+3+2+1 = 15
8 gongs at each hour = 8*5 =40
total for the hours = 65

for the quarters = 2+4+6 = 12 in each hour.
These occur for hours 1,2,3 and 4. (Not for 5 since it is till 5 pm).
hence 12*4=48

hence total = 65+48=103 Re: A certain clock rings two notes at quarter past the hour, four notes   [#permalink] 28 Oct 2019, 14:10
Display posts from previous: Sort by

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